2. Identify the x intercepts of: x^2 - 5x + 2 = -4x + 5
Answers
The given expression is
\(x^2-5x+2=-4x+5\)First, let's move all the terms to the left side
\(x^2-5x+4x+2-5=0\)Then, we reduce like terms
\(x^2-x-3=0\)To find the x-intercepts, we use the quadratic formula
\(x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Where a = 1, b = -1, and c = -3. Let's replace these values
\(\begin{gathered} x_{1,2}=\frac{-(-1)\pm\sqrt[]{(-1)^2-4(1)(-3)}}{2(1)}_{} \\ x_{1,2}=\frac{1\pm\sqrt[]{1+12}}{2}=\frac{1\pm\sqrt[]{13}}{2} \\ x_1=\frac{1+\sqrt[]{13}}{2}\approx2.3 \\ x_2=\frac{1-\sqrt[]{13}}{2}\approx-1.3 \end{gathered}\)Hence, the x-intercepts are (2.3, 0) and (-1.3, 0).Related Questions
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
Answers
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
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A ladder leans against the wall of a building. The ladder measures 47 inches and forms an angle of 51 degrees with the ground. How far from the ground, in inches, is the top of the ladder? How far from the wall, in inches, is the base of the ladder? Round to two decimal places as needed.
Ground to top in inches:
Base to wall in inches:
Answers
Answer:
to top: 36.53 inchesto base: 29.58 inchesStep-by-step explanation:
You want the distances from the ground to the top of the ladder, and from the wall to the base of the ladder when the 47-inch ladder makes an angle of 51° with the ground.
Trig functionsThe trig functions Sine and Cosine relate the sides of a right triangle to the angle and the hypotenuse:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Multiplying by the hypotenuse gives ...
opposite (ground to top) = (47 in) × sin(51°) = 36.53 in
adjacent (wall to base) = (47 in) × cos(51°) = 29.58 in
__
Additional comment
These trig relations are summarized in the mnemonic SOH CAH TOA.
what is the reciprocal for 4/9
Answers
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
I’m having trouble figuring out how to find the limit of this function algebraically.
Answers
Answer:
Step-by-step explanation:
who can help in guiding me in any mathematicss question because I'm not good at that at all
Answers
Answer:
i can help
Step-by-step explanation:
Which of these systems of equations could be used to choose a ticket plan ?
Answers
Answer:
A. y = 0.50x + 12
y = 1.25x
Explanation:
The equation that model the total cost of plan A is:
y = 12 + 0.50x
Because there is a cost of $12 that is independent of the number of rides x and there is a cost of $0.5 for each ride.
In the same way, the equation that model the total cost of plan B is:
y = 1.25x
Because there is only a cost of $1.25 for each ride.
Therefore, the system of equations that could be used to choose a ticket plan is:
A. y = 0.50x + 12
y = 1.25x
Please help me solve the x and y values in thes simultaneous equation;
Answers
Answer:
x = 3 or x = 1
y = 3 or y = -1
(x, y) = (3, 3)
(x, y) = (1, -1)
Step-by-step explanation:
-7 (8s + 9f) if s = -5 and f = -3
Answers
Answer:
469
Step-by-step explanation:
Substitute -5 and -3 into the equation:
-7(8 (-5) + 9 (-3)
-7(-40 - 27)
-7(-67)
+469
Determine the domain and range of the following function. Record your answers in set notation. The domain is {x∈R| x≠−5}, and the range is {y∈R| y≠−2}. The domain is {x∈R| x≠−2}, and the range is {y∈R| y≠−5}. The domain is all real numbers, and the range is all real numbers as well. The domain is {x∈R| x≠−3}, and the range is {y∈R| y≠−5}.
Answers
Answer:
Option (2)
Step-by-step explanation:
Domain of a function is represented by the set of x-values (Input values) and Range of the function is represented by the set of y-values (Output values)
From the graph attached,
Given function is,
\(f(x)=\frac{x^2-x-6}{x+2}\)
Domain of this function will be {x ∈ R | x ≠ -2}
[Since, point x = -2 doesn't lie on the given graph]
Range of the function will be {y ∈ R | y ≠ -5}
Therefore, Option (2) will be the correct option.
Answer:
the correct answer is A
Step-by-step explanation:
just did it on edg
Determine the angle of elevation if the slope is 0.3415
Answers
Using the slope concept, considering it's value of 0.3415, it is found that the angle of elevation is of 18.86º.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Hence, we have that:
\(\tan{\alpha} = 0.3415\)
\(\alpha = \arctan{0.3415} = 18.86^\circ\)
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what are all values of x for which the series shown converges?
Answers
Answer:
One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:
Iaₙ₊₁I < IaₙI
This means that the absolute value of the terms must decrease as n increases.
Then we must have:
\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}\)
We can write this as:
\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}\)
If we assume that n is a really big number, then:
n + 1 ≈ 1
And we can write:
\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}\)
Then we have the inequality
\(1 > (x - 2)/3\)
And remember that this must be in absolute value, then we will have that:
-1 < (x - 2)/3 < 1
-3 < x - 2 < 3
-3 + 2 < x < 3 + 2
-1 < x < 5
The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.
solve for x. 4^(×-1)=1
Answers
Answer:
\(4^{\left(x-1\right)}=1\)
\(\Rightarrow\left(x-1\right)\ln \left(4\right)=\ln \left(1\right)\)
\(\hookrightarrow x=1\)
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f(x) = 3x+2
What is f(5)?
Answers
F(5)= 3.(5)+2=15+2=17
Another example: F(0)=3.(0)+2=0+2=2
You just replace the value in the two sides.
PLEASE HELP! Mr. Smith makes $20 an hour working full time. He gets about 25% of his income taken out for taxes. He came up with the following monthly budget.
Household:
Rent: $700
Cable: $85
Cell Phone: $175
Electric: $100
Food: $350
Total: 1,410
Automobile
Car: $200
Car Insurance: $100
Gas: $90
Maintenance: $15
Total: $405
How much money does he have left over monthly to put into savings?
Answers
Answer:
$585/month
Step-by-step explanation:
To determine how much money Mr. Smith has left over monthly to put into savings, we need to first calculate his monthly income and his monthly expenses, including taxes.
Mr. Smith's hourly rate is $20, and he works full time, which is typically 40 hours per week. Therefore, his weekly income is:
$20/hour x 40 hours/week = $800/week
To find his monthly income, we multiply his weekly income by the number of weeks in a month:
$800/week x 4 weeks/month = $3,200/month
To find his monthly expenses, we add up the amounts for his household and automobile expenses:
$1,410/month (household) + $405/month (automobile) = $1,815/month
Since Mr. Smith gets about 25% of his income taken out for taxes, we need to calculate the amount of taxes he pays each month:
$3,200/month x 0.25 = $800/month (taxes)
Now we can subtract his monthly expenses and taxes from his monthly income to find out how much money he has left over to put into savings:
$3,200/month - $1,815/month - $800/month = $585/month
Therefore, Mr. Smith has $585/month left over to put into savings after paying his expenses and taxes.
Im diying:(
dont be mean man
Given the equation p=s(1)t-s(2)t which equation is solved for t
Answers
Answer: C. t = p / s1-s2
Step-by-step explanation:
A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter.
In your textbook pg. 111, scale the vertical and horizontal axes by labeling each grid line with a number. You will need to use the time and distance information in the tick-mark diagrams.
Which line shows the ladybugs movement? The ant?
Unit rate for the Ladybug? The ant?
How long does it take for the ladybug to travel 12 cm? The ant?
Answers
Answer:
From the graph we can say that ant is moving faster than the ladybug
Slope of the ant's movement will be steeper than the ladybug
Hence, line "v" denotes the speed of ant and line "u" denotes the speed of ladybug.Unit rate/slope of the graph is (distance traveled/elapsed time)
Unit rate of ant is 3/2 cm/sec and that of ladybug is 1 cm/sec.Ant takes (12×2/3) = 8 sec and ladybug takes (12×1) = 12 sec to travel 12 cm.Remember ant will take less time to travel a certain distance than ladybug.
d. 30+8[6^2- (2^2+5)] simplify?
Answers
Answer:
30+8[6^2- (2^2+5)]
30+8(36-(4+5))
30+8(36-9)
30+8 x 27
20+216
246
Step-by-step explanation:
evaluate 2^2 and 6^2 first
add (4+5)
then calculate (36-9)
then multiply (8 x 27)
then add (30+216)
solved
:)
hope this helped
luz Maria has $15. She buys a ticket to a movie and a smoothie. How much money does she have left?
Ticket:$9.50
Popcorn:$4.50
Smoothie:$2.85
what is the solution to the problem? show the equations you used to solve the problems
Answers
Answer:
15-9.5-2.85=2.65
they have $2.65 left
Step-by-step explanation:
2 (3m + 1)²
Expand and simplify
Answers
2(9m^2 +6m+1)
Final answer
18m^2+12m+2
\(\huge\text{\bf Hey there!}\)
\(\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark\)
\(\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport
Answers
Answer:
A.) yes because the scale does not start at 0
Step-by-step explanation:
edge
Answer:
A
Step-by-step explanation:
A driver starts a trip with 30 gallons of gasoline in the tank of his car. The car
burns 4 gallons for every 80 miles. Assuming that the amount of gasoline in the tank decreases linearly, write a linear function that relates the number of gallons G left in the tank after a journey of "d" miles.
Answers
Answer:
Step-by-step explanation:
We have to look at this as something as basic as combining like terms. We know that the driver starts with 30 GALLONS of gas and loses x GALLONS while driving, giving us an equation that says
Gallons of gas used = Gallons in car - gallons used; in other words, if everything is in the same label, you can subtract. We start off with 30 gallons, thus:
Gallons of gas used = 30 G
That's a start, at least. Now we need to figure out how much is burned. Remember, in order to do any subtraction at all we have to have like labels, so we need what goes after that subtraction sign to also be a label in gallons, G. The driver burns 4 gallons per 80 miles times how many miles he drives, so the expression for that is
\(\frac{4G}{80mi}*dmi\) and what happens here is that the label of miles cancels out, leaving us with just G, which is what we're after. The whole equation then is
\(G=30-\frac{4}{80}d\), choice 1
What's the inequality?
Answers
Answer:
I believe the answer is D coorrect me if im wrong
Step-by-step explanation:
if im right brainliest?
or 5 stars and heart
simplify "-48×20×-1×-5"
Answers
Answer:
the answer of this question is -4800
According to the property , which choice is equivalent to the quotient below?3577 35 A.5B.C.D.-5E.25
Answers
Answer:
Option A is the right answer mate...
The table shows the monthly rainfall at a measuring station. What is the mean monthly rainfall? Round your answer to the nearest thousandth.
Answers
The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.
To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:
| Month | Rainfall (in inches) |
|-------|----------------|
| January | 2.3
| February | 1.7
| March | 3.2
| April | 2.9
| May | 2.5
To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:
Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5
Calculating the sum of the rainfall values:
Mean Monthly Rainfall = 12.6 / 5
Dividing the sum by the number of months:
Mean Monthly Rainfall = 2.52
Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.
Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.
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Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows. 42 89 38 27 60 67 73 9 27 38 59 50 87 54 48 20 33 85 52 90 50 50 52 35 46 35 35 46 37 46 Make a stem-and-leaf display of these data. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Percent of Wetlands Lost COVOU AWN NONE 377 3555788 22666 000 26 99 07 >XXXXX 5 77 How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.) These data are strongly skewed left. The percentages are concentrated from 20% to 60%. These data are fairly symmetric, perhaps slightly skewed right. There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands. There are no gaps in the data. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands. The percentages are concentrated from 60% to 90%.
Answers
The stem-and-leaf plot of the given data is attached.
A stem-and-leaf plot refers to a device used to present quantitative data in a graphical format to help in visualizing the shape of a distribution. It is a table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit).
From the given options, the statements that describe the percentages distributed, distribution skewness and whether there are any gaps are:
The percentages are concentrated from 20% to 60% as these concentrations have more than one values. These data are fairly symmetric, perhaps slightly skewed right, considering the midpoint, 4.5, there are fairly equal number of values on each side, perhaps a little more on the right side.There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands, as there are no values corresponding to 1, or no values between 10 and 19 percent.Learn more about Stem-and-leaf plot:
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Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Is the product positive or negative? Why?
Answers
The multiplication expression with eight rational factors are ''positive''.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Jared writes a multiplication expression with eight rational factors. Half of the factors are positive and half are negative.
Since, Multiplication of four positive numbers are always gives a positive number and multiplication of four negative numbers are always gives a positive number.
Hence, The multiplication expression with eight rational factors are positive.
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I need to find the value of x?
Answers
Answer:
x=20
Step-by-step explanation:
120=6x
120/6=6x/6
20=x
Consider z = 3StartRoot 3 EndRoot + 3i. What happens to the modulus and argument when z is raised to the 4th power?
Answers
Answer:
Its A on edge
The modulus increases by a factor of 216, and the argument increases by StartFraction pi Over 2 EndFraction.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Edge2021
help pls and ty :D !!
Answers
Try this suggested option, answers are marked with colour.
