The slope of the line is -3. The equation of the line is expressed as: y = -3x + 7.
How to Find the Equation of a Line in Slope-intercept Form?The equation, y = mx + b, if the slope-intercept form of any straight line, where:
m is the slope = change in y / change in x = rise / run
b is the y-intercept or the point on the y-axis that the line cuts across.
From the graph, we know that:
b = 7 (y-intercept)
Slope (m) = rise/run = -3/1
Slope (m) = -3
Therefore, the equation of the line would be:
y = -3x + 7
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A parabola has a maximum value of 4 at x= -1, a y-intercept of 3, and an x-intercept of 1.
Which graph matches the description? PLZ HURRY
Answer:
The answer is C
Step-by-step explanation:
Plz mark as Brainliest
A parabola has a maximum value of 4 at x= -1, a y-intercept of 3, and an x-intercept of 1. The x-intercepts are -3 and 1. So, The second graph is the right one.
We have given that,
A parabola has a maximum value of 4 at x = -1,
A y-intercept of 3, and an x-intercept of 1.
What is the maximum point of the graph?The maximum value of a graph refers to the point on the graph where the y-coordinate has the largest value.
A maximum graph is one that represents the largest value of the y-coordinate on the graph.
So, The second graph is the right one.
Note that when x = 1, y (the maximum) is 4,
and that, The x-intercepts are -3 and 1.
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What is Computational Complexity?
Computational complexity is a branch of theoretical computer science that deals with the analysis and classification of problems based on the amount of computational resources required to solve them, such as time and memory.
It aims to determine the inherent difficulty of solving a problem, independent of any particular algorithm or computer, by characterizing problems according to the complexity classes they belong to, such as P, NP, NP-hard, and NP-complete.
This helps us understand which problems can be solved efficiently and which ones are inherently difficult, and also provides a framework for analyzing the efficiency and trade-offs of different algorithms for solving a problem.
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-5 + x + x + 13
Plzzz help me out
Answer:
2x + 8
Step-by-step explanation:
Step 1: Define expression
-5 + x + x + 13
Step 2: Combine like terms (x)
-5 + 2x + 13
Step 3: Combine like terms (constants)
2x + 8
Nick can type 30 words a minute. How many words can be typed in 9.5 minutes ?
Answer:
285 words in 9.5 min
Step-by-step explanation:
Use the appropriate conversion factor here:
30 words x
---------------- * -------------
1 minute 9.5 min
So x = number of words typed in 9.5 min = 285
Rob can harvest a field in 12 hours. One day his friend Aliyah helped him and it only took 5.45 hours. Find how long it would take Aliyah to do it alone.
Answer:
6.25 times two equals 12.5
Step-by-step explanation:
You just won a grand prize that pays you $1000 a month for 9 years. If you can earn 8 percent on your money, what is this prize worth to you today? $100,875.78$122,591.29$64,800.00$14,000.00$76,812.50
If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.
This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.
This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.
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8. Use the general formula for an exponential function, f(x) = a. b, to write a specific function given an
initial value of 61 and a growth factor of 3.5.
Answer: f(x) = 61(3.5)^x
Step-by-step explanation:
This is what the variables always mean in the function:
a = initial value
b = growth factor
x = time
Then, you just plug them in! Hope this helps.
Solve 7=6+b .
b= _____
The average of 3 different positive integers a, b and c is 50. If a < b < c and b=30, what is the least possible value of c?
Answer:
61
Step-by-step explanation:
If the average of 3 different positive integers, a, b and c, is 50 then:
\(\implies \dfrac{a+b+c}{3}=50\)
If b = 30:
\(\implies \dfrac{a+30+c}{3}=50\)
\(\implies a+30+c=150\)
\(\implies a+c=120\)
If a < b < c then the least possible value of c is one more than the average of a + c.
Average of a + c:
\(\implies \dfrac{a+c}{2}=\dfrac{120}{2}\)
\(\implies \dfrac{a+c}{2}=60\)
So the least possible value of c is 60 + 1 = 61.
If f(x) = sin x + 2x + 1 and g is the inverse function of f, what is the value of g'(1) ?.
Answer:
1/3
Step-by-step explanation:
\(g(f(x))=x \\ \\ g'(f(x))f'(x)=1 \\ \\ g'(f(x))=\frac{1}{f'(x)} \\ \\ g'(f(x))=\frac{1}{\cos x+2} \\ \\ g'(f(0))=\frac{1}{\cos(0)+2} \\ \\ g'(1)=\frac{1}{3}\)
What is the reference angle for 192°?
A 22°
B. 68°
C. 12°
D. 78°
Answer:
C. 12°
Step-by-step explanation:
Angle-180°
192°-180°
=12°
-Write an equation in slope-intercept form of the line
I’ll mark as BRANLIEST!!!
35 POINTS!
Answer:
y= -0.5 x +3
Step-by-step explanation:
at x=0 , y=3
at x=2 , y=2
y= ax+b
b=3
2=2a+3
2a= -1
a= - 0.5
then
y= -0.5 x +3
Find the following if a+b/a-b=c
3(a+b)/2(a-b)
To find the value of 3(a+b)/2(a-b), we can substitute the given equation a+b/a-b=c into the expression and simplify.
Let's start by substituting the value of c into the expression:
3(a+b)/2(a-b) = 3(c)/2(a-b)
Now, we can substitute the given equation a+b/a-b=c:
3(c)/2(a-b) = 3(c)/(2(c))
Simplifying further:
3(c)/(2(c)) = 3/2
Therefore, the value of 3(a+b)/2(a-b) is 3/2.
What is the equation of the line perpendicular to the
line shown in the diagram that passes through the point
(-2,-4)?
Answer: x + 3y = -14
Step-by-step explanation:
Plug in the coordinates
-2+3(-4) = - 14
YALL I NEED HELP!!! WILL MAKE BRAINLIEST!!!
So I paid someone $25.95 ok but I didn’t realize I owed them $28.21 till now…how much do I owe them?!!???
Answer:
$2.26
Step-by-step explanation:
In total, you owed them 28.21, and so you can subtract the amount you paid from the total:
28.21 - 25.95 = 2.26
So, you owe them $2.26 now.
hope this helps! have a lovely day :)
Katie has $32 to spend on party supplies after buying 9 packs of noisemaker she has $20 left how much did each pack of noise maker cost
total money she has is 32 $
now after buying she has left only with 20$
so she spent 32 - 20 = 12 $
she spent 12 $ for buying 9 packs of noisemaker,
9 Pack cost = 12 $
1 pack cost = 12 / 9
= 4/3 = 1.3333 $
so cost of each pack of noise is 1.33 $
Develop a full regression model based on all the predictor variables indicated. Choose the right model equation below
A. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms) B. Asking Price = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+8.25*(Bedrooms)
C. Assessed Value = 246.42+43.94*(Size) + 15.69*(Fireplace Coded)+0.9677*(Bathrooms) D. Assessed Value = 244.4325 + 43.5532*(Size)+ 8.1910*(Bedrooms)+ 0.9677*(Bathrooms)
Q2. A review of the t-test on the significance of individual independent variable suggests that, based on the p-values
A. Only one of the independent variable possibly needs to be retained B. Two of the independent variables possibly needs to be retained C. None of the independent variables could be retained D. Three of the independent variables could be retained
Q3:
Choose the right option below. Based on the full regression model involving all of the independent variables
A. VIF for Size = 2.336, VIF for Fireplace = 1.121, VIF for bedrooms = 1.979
B. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885
C. VIF for Fireplace = 1.1873, VIF for bedrooms = 1.9885
D. None of the above
Q4: Based on VIF values, there is concern for collinearity in this dataset
A. True B. False
Q5:
Based on the normal probability plot, the normality assumption seems to be met
A. True
B. False
Q:7: Based on conducting residual analysis the model seems
Group of answer choices
Adequate
Inadequate
Violates Independence Assumption
Not enough information to assess the LINE assumptions
Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.
Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.
Q.4: Based on VIF values, there is concern for collinearity in this dataset. True
Q5: Based on the normal probability plot, the normality assumption seems to be met. True
Q7: Based on conducting residual analysis the model seems. Adequate.
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Зу = 15x - 12; х= 0, 1, 2
Solve equation for y. Then find the value of y for each value of x.
Answer:
y = 5x - 4
for the x values..
y = -4
y = 1
y = 6
Step-by-step explanation:
As part of a manufacturing process for widgets, an quality controller at ACME Corporation randomly samples 856 widgets during a day of production to test the current rate of defective widgets. The controller finds 34 defective widgets.The historical rate of defective widgets produced by ACME Corporation was 7%. Approximately, how many standard deviations is the point estimate from 7%?
The historical rate of defective widgets produced by ACME Corporation was 7%. Approximately, 91.2 is the standard deviations is the point estimate from 7%.
In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values are spread over a wider range.
The standard deviation can be abbreviated SD, and is most commonly used in mathematical texts and equations with the lowercase Greek letter σ (sigma) for the population standard deviation, or the Latin letter s for the standard deviation of the sample.
The standard deviation of a random variable, sample, population, data set, or probability distribution is the square root of its variance. It is algebraically simpler than the mean absolute deviation, although less robust in practice. A useful property of the standard deviation is that, unlike the variance, it is expressed in the same units as the data.
According to the Question:
Given that:
Defective widgets produced by ACME corporation was 7%
Total sample was 856 widgets.
Therefore, the Standard Deviation estimates from 7% is:
856 of 7% = 91.2
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im very lost amd i just want a quick answer.
An angle bisector is a line that divides an angle into two equal parts
From the figure attached, we will observe that Line RU bisects Angle TRP into two parts (TRU & PRU)
Hence, the corect answer is a. (RU)
Question 4: In the fourth quadrant, the point will be in the form
(+,+)
(+,-)
(-,+)
(-,-)
Answer:
(+,-)
Step-by-step explanation:
quadrant 1 is (+,+)
quadrant 2 is (-,+)
quadrant 3 is (-,-)
quadrant 4 is (+.-)
Every group of size 4 is isomorphic to either Z_4 or Z₂ × Z_2. Determine whether each of the following groups of size 4 is isomorphic to Z_4 or Z_2 x Z_2
. (a) G₁ = {ɛ, (12), (34), (12)(34)} ≤ S4 (b) G₂ = {,ɛ, (13)(24), (1432)}
We determine for each of the following groups that (a) G₁ is isomorphic to Z₄. (b) G₂ is not isomorphic to either Z₄ or Z₂ × Z₂.
In order to determine whether each of the given groups G₁ and G₂, of size 4, is isomorphic to Z₄ or Z₂ × Z₂, we need to analyze their properties.
(a) G₁ = {ɛ, (12), (34), (12)(34)} ≤ S₄:
To determine if G₁ is isomorphic to Z₄ or Z₂ × Z₂, we need to examine the structure and properties of Z₄ and Z₂ × Z₂. Z₄ consists of the elements {0, 1, 2, 3}, with addition modulo 4. Z₂ × Z₂ consists of the elements {(0, 0), (0, 1), (1, 0), (1, 1)}, with component-wise addition modulo 2.
By analyzing the group G₁, we can see that it has the same structure as Z₄. Each element in G₁ corresponds to an element in Z₄, and the operation of G₁ matches the addition modulo 4 in Z₄. Therefore, G₁ is isomorphic to Z₄.
(b) G₂ = {ɛ, (13)(24), (1432)}:
Similarly, to determine if G₂ is isomorphic to Z₄ or Z₂ × Z₂, we need to examine their structures. However, G₂ does not contain 4 elements, so it cannot be isomorphic to Z₄. Additionally, the elements in G₂ do not match the structure of Z₂ × Z₂. Therefore, G₂ is not isomorphic to Z₄ or Z₂ × Z₂.
To summarize:
(a) G₁ is isomorphic to Z₄.
(b) G₂ is not isomorphic to either Z₄ or Z₂ × Z₂.
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Item 1
Which symbol correctly compares these fractions?
−3/5□−2/3
>
<
=
Answer:
The answer is -3/5 > -2/3
Step-by-step explanation:
okay
Answer:
the answer is. ......
−3/5>2/3
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
see below
Step-by-step explanation:
Proposition:Let the diagonals AC and BD of the Parallelogram ABCD intercept at E. It is required to prove AE=CE and DE=BE
Proof:1)The lines AD and BC are parallel and AC their transversal therefore,
\( \displaystyle \angle DAC = \angle ACB \\ \ \qquad [\text{ alternate angles theorem}]\)
2)The lines AB and DC are parallel and BD their transversal therefore,
\( \displaystyle \angle BD C= \angle ABD \\ \ \qquad [\text{ alternate angles theorem}]\)
3)now in triangle ∆AEB and ∆CED
\( \displaystyle \angle EAD=\angle ECB\)\(\angle EDA=\angle EBC\)\( \displaystyle AD=BC\)therefore,
\( \displaystyle \Delta AEB \cong \Delta CED \)
hence,
AE=CEDE=BEProven
Can anyone help me with this?
Answer:
8/14
Just need to add the top
:)
I NEED HELP XDDD what is 36 = 4x = ?
Answer:
x = 9
Step-by-step explanation:
divide both sides of the equation by 4 to isolate the x variable according to algerba. Hope it helps!
Answer:
=9
Step-by-step explanation:
9 times 4 is 36
what pairs of triangles appear to be congruent? check all that apply
In conclusion, based on the provided information, the pairs of triangles that appear to be congruent are Triangle ABC and Triangle DEF, Triangle BCD and Triangle EFG, and Triangle CDE and Triangle FGH.
To determine which pairs of triangles appear to be congruent, we need to examine their corresponding sides and angles. Congruent triangles have the same shape and size, which means their corresponding sides are equal in length and their corresponding angles are equal in measure.
Let's analyze the given information about the triangles:
Triangle ABC:
Side AB is parallel to side DE and has the same length as side DE.
Side BC is parallel to side EF and has the same length as side EF.
Angle ABC is congruent to angle DEF.
Triangle BCD:
Side BC is parallel to side EF and has the same length as side EF.
Side CD is parallel to side FG and has the same length as side FG.
Angle BCD is congruent to angle EFG.
Triangle CDE:
Side CD is parallel to side FG and has the same length as side FG.
Side DE is parallel to side GH and has the same length as side GH.
Angle CDE is congruent to angle FGH.
From the given information, we can observe that the pairs of triangles that appear to be congruent are:
1. Triangle ABC and Triangle DEF: These triangles have corresponding sides AB and DE, BC and EF, and angle ABC and angle DEF that are congruent.
2. Triangle BCD and Triangle EFG: These triangles have corresponding sides BC and EF, CD and FG, and angle BCD and angle EFG that are congruent.
3. Triangle CDE and Triangle FGH: These triangles have corresponding sides CD and FG, DE and GH, and angle CDE and angle FGH that are congruent.
It is important to note that our observation of apparent congruence is based on the given information. To establish formal congruence, we would need additional information, such as the congruence of a third pair of corresponding sides or angles, to apply congruence postulates or theorems.
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x^2+18x−29=−10
A. x=−4±√29
B. x=5±√86
C. x=−1±2√14
D. x=1, x=−19
Answer:
answer is d.)x=1 , x= -19
Can anyone answer this
Answer:
B. 1395 sq. units
Step-by-step explanation:
Since the shape is an octagon, it is also composed of 8 triangles. If you solve the formula for the area of a triangle with those numbers and multiply it by the amount of sides you will have the total area.
Answer:
B. 1395 sq. units
Step-by-step explanation:
A=2(1+\(\sqrt{2}\))a²
A=2(1+\(\sqrt{2}\))17²
A=2(1+\(\sqrt{2}\))289
A≈4.83×289
A≈1395.87
A≈1395 units²
The option that fits this is B. 1395 sq. units
(x^(2)+4x-12)/(x^(2)-25)-:(x+6)/(x^(2)-5x)
Step-by-step explanation:
PS:Thas some questoin