. What is a solution of x² + 6x = -5?
Ox=-6
Ox=-1
Ox=1
Ox=6
Answers
Ox= -1
Solution: hope this helps
Answer:
x = -1
Step-by-step explanation:
x² + 6x = -5
x² + 6x -( -5) = 0
Use the quadratic formulaEvaluate the exponentMultiply the numberSubtract the numberEvaluate the square rootMultiply the numberx = (-x + 4)/2
Separate the equationsTo solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = (-6 + 4)/2
x = (-6 - 4)/2
Rearrange and isolate the variable to find each solutionx = -1
Related Questions
4 Three collinear points on the coordinate plane are R(x, y), S(x + 8h, y + 8k), and
P(+ + 6h,y + 6K)
RP
Part A: Determine the value of
SP
RP
Part B: Determine the value of
Please show the step you took to find the answer
Answers
Answer:
RP/SP =3 , RP/RS = 3/4
Step-by-step explanation:
Here is the complete question
Three colinear points on the coordinate plane are R(x,y) S(x+8h, y+8k) and P(x+6h,y+6k) Determine value of RP/SP and RP/RS?
Solution
We first find the length of RS, SP and RP as follows
RS = S(x+8h, y+8k) - R(x,y)
= √[((x + 8h) - x)² + ((y + 8k) - y)²]
= √[x - x + 8h)² + (y - y + 8k)²]
= √[(8h)² + (8k)²] = 8√(h² + k²)
SP = P(x + 6h,y + 6k) - S(x+8h, y+8k)
= √[((x + 6h) - (x + 8h))² + ((y + 6h) - (y + 8k))²]
= √[x - x + 6h - 8h)² + (y - y + 6k - 8k)²]
= √[(-2h)² + (-2k)²] = 2√(h² + k²)
RP = P(x+6h, y+6k) - R(x,y)
= √[((x + 6h) - x)² + ((y + 6k) - y)²]
= √[x - x + 6h)² + (y - y + 6k)²]
= √[(6h)² + (6k)²] = 6√(h² + k²)
So, RP/SP = 6√(h² + k²)/2√(h² + k²)
= 6/2
= 3
RP/RS = 6√(h² + k²)/8√(h² + k²)
= 6/8
= 3/4
Plzz help! Can you also explain. ps. It’s not 4
Answers
Answer:
SR =3
Step-by-step explanation:
SR + RQ = SQ
2x+23 + x+21 = 14
Combine like terms
3x+44 = 14
Subtract 44 from each side
3x+44-44= 14-44
3x = -30
Divide each side by 3
3x/3 = -30/3
x = -10
SR = 2x+23 = 2(-10)+23 = -20+3 =3
Answer: 3
Step-by-step explanation:
We can start by making an equation.
Since we know the total length of SQ we can add SR + RQ to equal SQ.
\((2x+23)+(x+21)=14\)
The parenthesizes are not necessary but they help for understanding the parts of the equation.
We will remove the parenthesizes and combine like terms.
\(3x+44=14\\\)
Now subtract 44 from both sides to cancel it out from the side with x.
\(3x=-30\)
Now divide by 3 to isolate x.
\(x=-10\)
So x = -10.
Now we can plug in the value of x into SR.
\(2(-10)+23 = SR\)
Solve
So SR = 3
8x-3-=5+4y
solve for y
Answers
8x - 8 = 4y divide through by 4
2x - 2 = y
This is an equation of a line
The volume of the solid object enclosed above the ry-plane and below the paraboloid, 2=4-22 - y2 in the first octant, is equal to: Select one: 0 47 87 27 None of them 67
Answers
The correct option is 87. The given equation is 2=4-22-y2 which is the equation of the paraboloid. In the first octant, the values of x, y, and z are all positive. Therefore, the limits of the variables for integration are as follows. Limits of x: 0 to 2 Limits of y: 0 to √2 Limits of z: 0 to 4-2y² Now, we can find the volume of the solid object enclosed above the xy-plane and below the paraboloid by the triple integration of dV.
Therefore, Volume = ∫[from 0 to 2]∫[from 0 to √2]∫[from 0 to 4-2y²] dxdydz
We can solve this using the following method.∫[from 0 to 2]∫[from 0 to √2]∫[from 0 to 4-2y²] dxdydz= ∫[from 0 to √2]∫[from 0 to 4-2y²] 2dydz= ∫[from 0 to √2] 2(4-2y²)dy
= 8√2/3
Therefore, the volume of the solid object enclosed above the xy-plane and below the paraboloid 2=4-22-y2 in the first octant is 8√2/3.
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What is the slope of the line shown below (3 9)(-4 2)
Answers
Answer:
slope = 1
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (3, 9 ) and (x₂, y₂ ) = (- 4, 2 )
m = \(\frac{2-9}{-4-3}\) = \(\frac{-7}{-7}\) = 1
expand and simplify 3(2a+3b)+2(a+2b)
Answers
Answer:
8a+13b
Step-by-step explanation:
First start by multiplying the coefficient with the parantheses.
3(2a+3b)+2(a+2b)
6a+9b+2a+4b
8a+13b
This equation cannot be further simplified.
Answer:
6a+9b+2a+4b
6a+2a+9b+4b
8a+13b
Each morning Bill leaves home between 6:30 and 8:00 to drive to work at University of Texas. The time it takes Bill to drive to work (TIME) depends on the departure time when he leaves after 6:30 (DEPART), the number of red lights on the way (REDS) and the number of trains that he has to wait for at the crossing (TRAINS). Observations for these variables are for 231 working days in 2006. TIME is measured in minutes after 6:30 that Bill departs. The estimated regression model is as follows; TIME -19.9166+0.3692DEPART+1.3353REDS +2.7548TRAINS R¹ -0.634 s.e (1.2548) (0.3038) (0.01553) (0.1390) a) What is the average estimated time in minutes to drive to work for Bill when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait?
( b) Interpret the estimated coefficients of REDS and TRAINS. c) Using a 5% significance level, test the hypothesis that each train delays Bill by 3 minutes. State your conclusion.
Answers
a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.
a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:
TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)
Given:
DEPART = 0 (as he leaves on time at 6:30)
REDS = 0 (no red lights)
TRAINS = 0 (no trains to wait for)
Substituting these values:
TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)
= -19.9166
Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.
b) The estimated coefficients of REDS and TRAINS in the regression model are:
1.3353 (REDS)
2.7548 (TRAINS)
Interpreting the coefficients:
- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.
- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.
c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.
Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.
Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.
We can use the t-test to test this hypothesis. The t-value is calculated as:
t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS
Given:
Coefficient of TRAINS = 2.7548
Hypothesized value = 3
Standard error of coefficient of TRAINS = 0.1390
t-value = (2.7548 - 3) / 0.1390
= -0.2465 / 0.1390
≈ -1.7733
Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.
Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.
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Write the following expression using rational exponents. ^7√y^4= y^ The numerator of the exponent is Select a Value The denominator of the exponent is Select a Value.
Answers
Answer: The Numerator of The Exponent =4
The Denominator of The Exponent= 7
Step-by-step explanation:
NEED HELP ASAP!!!!!
What is the probability that both events will occur?
A coin and a die are tossed.
Event A: The coin lands on heads
Event B: The die is 5 or greater
P(A and B)= ?
Answers
The probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.
To find the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur, we need to determine the individual probabilities of each event and then multiply them together since the events are independent.
Event A: The coin lands on heads
A fair coin has two equally likely outcomes, heads or tails. Since we are interested in the probability of heads, there is only one favorable outcome out of two possible outcomes.
P(A) = 1/2
Event B: The die is 5 or greater
A fair six-sided die has six equally likely outcomes, numbers 1 through 6. Out of these six outcomes, there are two favorable outcomes (5 and 6) for Event B.
P(B) = 2/6 = 1/3
To find the probability of both events occurring (A and B), we multiply the individual probabilities:
P(A and B) = P(A) * P(B) = (1/2) * (1/3) = 1/6
Therefore, the probability that both Event A (coin lands on heads) and Event B (die is 5 or greater) will occur is 1/6.
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The temperature is -2. If the temperature rises by 15, what is the new temperature?
Answers
Answer:
13
Step-by-step explanation:
-2+15=13 Degrees
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
Answers
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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The number of surfers that visited Sunset Beach and Sandy Point over the last 15 days was recorded on these line plots.
Classify each statement by selecting true or false.
True False
The centers of the data sets are approximately equal.
True – The centers of the data sets are approximately equal.
False – The centers of the data sets are approximately equal.
The degree of overlap is high.
True – The degree of overlap is high.
False – The degree of overlap is high.
The spread of the data sets have overlaps.
True – The spread of the data sets have overlaps.
False – The spread of the data sets have overlaps.
Answers
Answer:
True
False
True
Step-by-step explanation:
What is the midpoint of the segment shown below? For geometry worksheet!
Answers
Answer:
C
Step-by-step explanation:
The y-coordinate is the average of 7 and -1 which is 3. This eliminates options A and D. Option B doesn't make sense since 5 is greater than 3, so that leaves us with option C.
Answer:
C.
Step-by-step explanation:
The midpoint is (3+2)/2 , (7 + -1) / 2)
= (5/2, 6/2)
= (5/2, 3)
Solve for j
G=z/2[2j+(z-1)w]
Answers
Answer:
\(g = \frac{z}{2(2j + (z - 1)w)} \\ 2(2j + (z - 1)w) = \frac{z}{g} \\ 4j = \frac{z}{g} + 2w(1 - z) \\ j = \frac{z}{4g} + \frac{w}{2} (1 - z)\)
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answers
Answer:
x < 3
Step-by-step explanation:
The last step is to divide by -2. When you divide by a negative number you must reverse (flip) the inequality symbol.
-6 < -2x
-6/-2 > -2x/-2
3 > x
This is the same as
x < 3 (see the pointy side pointing at the x and the wide open side facing the 3)
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
Answers
Answer:
Area of the square: 36
Step-by-step explanation:
6.1+8.2+9.7=24. Squares have 4 sides so 24/4=6. Area= base times highet, Base=6 Highet=6. 6 times 6=36!
Answer:
A=36 cm²
Step-by-step explanation:
the perimeter of triangle=a+b+c
P=6.1+8.2+9.7
P= 24 cm
P of triangle = P of square ( square has 4 equal sides):
24=4a
a=24/4=6
Area of square : a²
A=6² = 36 cm²
The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions. Show your work as proof.
a. How many days did it take, if the number of ice cream sales is $40?
b. How much ice cream was sold on day 8?
Answers
Step-by-step explanation:
y = 3(40) + 2y = 120 + 2y =122.expand the expression log6x^2
Answers
Answer:
log(2)+log(3)+2log(x)
you should try downloading an app called math away
i don't know if it's right but I got the answer from a reliable source
what function computes the value in which one-half of the data is above and one-half is below.
a. Middle
b. Mode c. average
d. Median
Answers
In an experiment, which variable is measured by the experimenter?.
Answers
In a research experiment, the variable that is measured by the experimenter is: dependent variable.
Variables in Research ExperimentIn a research experiment, we have the dependent and independent variables.The dependent variable is the variable that receives the effect of a change in the independent variable, which is measured by the researcher.Therefore, in a research experiment, the variable that is measured by the experimenter is: dependent variable.
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The odds in favor of an event E occurring
are 8 to 3. Find the probability that event E
occurs.
The choices for problem number 40 from the book are given below.
a. 2.667
b. 0.375
c. 0.727
d. 0.273
e. 0.429
Answers
The probability that event E occurs, given that the odds in favor are 8 to 3, is approximately 0.727. The correct option is (c).
For the probability of event E occurring when the odds in favor are 8 to 3, we can use the formula for odds and probability conversion.
The odds in favor of event E occurring are given as 8 to 3. This means that for every 8 favorable outcomes, there are 3 unfavorable outcomes. In total, there are 8 + 3 = 11 outcomes.
To calculate the probability, we divide the number of favorable outcomes by the total number of outcomes.
The number of favorable outcomes is 8, and the total number of outcomes is 11. Therefore, the probability of event E occurring is 8/11.
Converting this to a decimal, we find that the probability is approximately 0.727.
It is important to note that odds are different from probabilities. Odds represent the ratio of favorable to unfavorable outcomes, while probabilities represent the likelihood of an event occurring on a scale from 0 to 1.
So, the probability that event E occurs is approximately 0.727, which corresponds to choice (c).
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Find the slope of the line that contains the following points: (17, -12) and (17, 8) *
Answers
Answer:
20/0 = 0
Step-by-step explanation:
The slope of the line that passes through (17, -12) and (17, 8) is undefined.
The equation of a line is a vertical line where it intercepts at 17 on the x-axis.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Two points:
(17, -12) and (17, 8)
The slope of a line that passes through two points (a, b) and (c, d) is given as:
Slope = (d - b) / (c - a)
The slope of the line that passes through (17, -12) and (17, 8).
Slope = (8 - (-12)) / 17 - 17
Slope = 20/0
Slope = undefined
Since the slope is undefined the equation of a line is a vertical line where it intercepts at 17 on the x-axis.
Thus,
The slope of the line that passes through (17, -12) and (17, 8) is undefined.
The equation of a line is a vertical line where it intercepts at 17 on the x-axis.
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which type of association is grown on this graph?
Answers
Answer/Step-by-step explanation:
This graph represents a negative association.
As x increase, y decreases showing that the points are descending or having a negative association.
Marques has a points card for a movie theater.
He receives 70 rewards points just for signing up.
He earns 9.5 points for each visit to the movie theater.
He needs 184 points for a free movie ticket.
Write and solve an equation which can be used to determine vv, the number of visits Marques must make to earn a free movie ticket.
Answers
The number of visits before he can win a free tickets is 12.
How many visits before he can win a free movie ticket?The first step is to determine the inequality sign to be used:
Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe inequality sign that would be used is ≥, the greater than or equal to sign.
The inequality equation that can be used to determine the number of ticket Marques needs is:
initial reward + (reward point per visit x number of visits) ≥ minimum points needed to get a free ticket
70 + (9.50 × vv) ≥ 184
70 + 9.50vv ≥ 184
In order to determine the value of vv, take the following steps:
Combine similar terms:
9.50vv ≥ 184 - 70
Add similar terms: 9.50vv ≥ 114
Divide both sides by 9.50
vv ≥ 114 / 9.50
vv ≥ 12
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A Ship travels at a steady Speed.
It takes 43hours to Cover a journey
of 1032km. What is the speed of
the Ship?
Answers
Answer:
speed=24km/h or 6.67m/s
Step-by-step explanation:
Given data:
time taken = t =43 hours
distance covered = d = 1032 km
to find:
speed of the ship = v =?
solution:
as we know that speed is defined as the distance covered by an object in unit time.Formula
speed = distance covered /time taken
speed = 1032km/43hours
speed =24km/h or in international system of units the answer is 6.67m/s
Which fraction comparison reasoning strategy can be used when both fractions have the same number of pieces?
Answers
Can somebody help me? Thanks.
Answers
Answer:
1) 2x = x + 15
Step-by-step explanation:
The two parallel lines and one bisecting line makes these two angles equal so you can set the values equal to each other to solve for x
Help please I really need it
Answers
Answer:
Its the first one
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which table represents a liner function?
Answers
Answer:2 top right
Step-by-step explanation:
I need help sampling methods
Answers
There are different types of sampling methods that researchers use depending on their research goals and the population they are studying.
Here are a few commonly used sampling methods:
1. Random sampling: This method involves selecting a sample of participants randomly from the population. Each member of the population has an equal chance of being included in the sample.
2. Stratified sampling: This method involves dividing the population into subgroups or strata and then selecting a sample from each stratum. This ensures that the sample is representative of the population as a whole.
3. Cluster sampling: This method involves selecting a sample of clusters (e.g., schools, neighborhoods) from the population and then sampling participants within each cluster.
4. Convenience sampling: This method involves selecting participants who are easily accessible or willing to participate. This method is not ideal as it may result in a biased sample.
It's important to choose the appropriate sampling method based on your research question, population, and available resources.
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