Graph ƒ(x) = -x + 2. Click on the graph until the graph of ƒ(x) = -x + 2 appears.
Answers
The last graph is correct, with the points at (0,2) and (2,0)
Answer with Step-by-step explanation:
We have to graph f(x) = -x + 2
When x=0 , f(x) = 2
When f(x)=0 , x=2
Hence, the graph passes through the points:
(0,2) and (2,0)
So, the correct graph of f(x) = - x + 2 is the last one which is shown below
Related Questions
Which shows the best path to find the number of centimeters in 1 yard?
Answers
To find the number of centimeters in 1 yard, convert yards to feet, then feet to inches, and finally, inches to centimeters. 1 yard is equal to 91.44 centimeters after applying the conversion factors 1 yard = 3 feet, 1 foot = 12 inches, and 1 inch = 2.54 centimeters.
To find the number of centimeters in 1 yard, we need to follow a two-step conversion process. First, we convert yards to feet, knowing that 1 yard equals 3 feet. Then, we convert feet to inches, since we know that 1 foot equals 12 inches. Finally, we convert inches to centimeters, using the conversion factor that 1 inch is equivalent to 2.54 centimeters.
So the path would look like this:
Convert yards to feet: 1 yard = 3 feet.
Convert feet to inches: 1 foot = 12 inches.
Convert inches to centimeters: 1 inch = 2.54 centimeters.
Applying these conversions to 1 yard:
1 yard * 3 feet/yard = 3 feet
3 feet * 12 inches/foot = 36 inches
36 inches * 2.54 centimeters/inch = 91.44 centimeters
Therefore, 1 yard is equivalent to 91.44 centimeters.
Which equation represents a line that passes through two points in the table
Answers
Nothing much to do here except examine each equation and plug in the numbers to see if it's true.
a. y + 3 = 3/2(x+3)
Try 3,3
3 + 3 = 3/2(3+3)
6 = 3/2(6). And no need to go further, it's obviously not equal.
b. y - 3 = 3/2(x-3)
Try 3,3
3 - 3 = 3/2(3-3)
0 = 3/2(0). OK. Let's try 6,5
5 - 3 = 3/2(6-3)
2 = 3/2(3)
2 = 9/2 And it's not true, so check the next one.
c. y - 3 = 2/3(x-3)
Try 3,3
3 - 3 = 2/3(3-3)
0 = 0. Check 6,5
5 - 3 = 2/3(6-3)
2 = 2/3(3)
2 = 2. Good. Both sample points work. This is the correct answer.
Just to be sure, let's check the next option
d. y + 3 = 2/3(x+3)
Try 3,3
3 + 3 = 2/3(3+3)
6 = 2/3(6). And doesn't match.
Answer: C
Step-by-step explanation: A P E X
Javier bought a microwave for $150. The cost was 30% off the original price, what was the original price
Answers
Your answer is $500
Hope this helps!
List the following numbers from least to greatest -5/3, 7/3, -3/4, 7/5.
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The hypotenuse of a 45°-45°-90° triangle measures 18 cm.
What is the length of one leg of the triangle?
9 cm
cm
18 cm
cm
Answers
As the hypotenuse measures 18 cm we would set xsqrt(2) equal to 18 and solve for x
xsqrt(2) = 18
x = 18 / sqrt(2)
x is approximately 12.73
which is not one of your answer choices, so I am assuming that either the question is not correct (my guess is the hypotenuse is actually 18sqrt(2) ), or the answer choices are not correct.
One way or the other, something is messed up here.
If the hypotenuse is in fact 18sqrt(2), then the legs will each be 18 in length.
Double check and get back to me if needed....
Answer:
9√2
Step-by-step explanation:
18=x√2
18/12=x
√2(18/√2)=x
18√2/2=x
9√2=x
Juan's income y consists of at least $37,500 salary plus 5% commission on all of his sales x. which inequality represents juan's income in one year? answer
Answers
Answer:
y < 37,500 + 5x I believe.
Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y).
Answers
first step sum means addition so (12x+9y) +(-2y) = 12x +7y
second step subtract (4x -3y) from (12x+7y)
need to use the distributive property:
12x +7y - 4x - -3y =
12x + 7y - 4x +3y
combine like terms
8x+10y
Answer has been edited.
Answer:
Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .
Step-by-step explanation:
As given the expression
(12x + 9y) , (-2y) and (4x − 3y) .
First add the expression (12x + 9y) and (-2y) .
= (12x + 9y) - (2y)
First open the bracket
= 12x + 9y - 2y
= 12x + 7y
Now subtracted (4x − 3y) from 12x + 7y .
= 12x + 7y - (4x - 3y)
= 12x - 4x + 7y + 3y
= 8x + 10y
Therefore the Subtract (4x − 3y) from the sum of (12x + 9y) and (−2y) is 8x + 10y .
Help me!!!!!!!!!!!!!
Answers
(1, 3) as T and (5, 4) as the midpoint
Alright - we know that the equation for the midpoint of a line segment is
[tex]( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} )[/tex]
Next, we plug the x values in - since the midpoint's x value is 5 and one endpoint's x value is 1, we have
[tex] \frac{1+x_2}{2} =5[/tex] .
Next, we multiply both sides by 2, resulting in 1+x₂=10. Lastly, we subtract 1 from both sides, meaning that x₂, or the x value of the other endpoint, is 9. For the y values, we use a similar process -
[tex] \frac{3+y_2}{2} =4[/tex] .
since 3 is the y value of one endpoint and 4 is the y value of the midpoint. Multiplying both sides by 2, we get 3+y₂=8. Subtracting 3 from both sides, we get y₂=5 and our coordinates for the other endpoint to be (9, 5).
Good luck, and feel free to ask any questions as necessary!
What is the formula for the sum of interior angles of a regular polygon?
Answers
What is the product in simplest form?
−8/9 ⋅ 5/6
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Solve the inequality 0>-3×-2×.
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[tex]0\ \textgreater \ - 3^{x} - 2^{x}[/tex]
2) transpose terms:
[tex]3^x \ \textgreater \ - 2^x[/tex]
3) Solution:
The inequality is true for any value of x because 3^x is always positive and - 2^x is always negative.
Answer: x ∈ R
What is the square root of 500 divided by 2 x pi?
Answers
35.124, so rounded it is just 35.124
There are 16 apples in a basket. 9 of these apples are green. the rest of them are red. (a) what is the ratio of all apples in the basket to red apples? (b) what is the ratio of red apples to green apples?
Answers
because you have 16 total and 9 green so you have to see how many red apples there are by adding 9 to whatever number that gets you to sixteen
(sorry i didn't explain it better i had a bad day and didn't care about what i was saying but still wanted to help :/)
The ratio of (a) the ratio of all apples in the basket to red apples = 16/7 and (b) the ratio of red apples to green apples = 7/9
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
There are 16 apples in a basket.
9 of these apples are green.
The rest of them are red.
So,
(a) To find the ratio of all apples in the basket to red apples,
Number of apples / number of red apples
= 16/9
(b) To find the ratio of red apples to green apples,
The number of green apples = 16 - 9 = 7
Number of red apples / number of green apples
= 7/9
Therefore, the ratio (a) 16/9 and (b) 7/9
To learn more about the ratio;
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PLEASE HELP
What is the equation of the line in slope-intercept form?
Answers
(3-0)/(0+5)
3/5 slope
y intercept of 3
y=3/5x+3
You flip a coin 5 times. in how many ways could u obtain at least one tail
Answers
- Flip 1 can either be heads or tails
- Flip 2 can either be heads or tails
So our possible outcomes are HH, HT, TH, and TT. There are two possible second flips for each of the possible first flips, or 2 x 2 = 4 total combinations of flips. Notice that only one of those combinations has zero tails - the combination with all heads.
If we were to flip a coin 5 times, we'd have two possible fifth flips for each of the two possible fourth flips for each of the two possible third flips for... it gets pretty hairy to describe in words, but I've attached a diagram so you can see how quickly it grows out of control. There are 2 x 2 x 2 x 2 x 2 or [tex]2^5=32[/tex] possible combinations of heads and tails! But, in fact, we don't even need to sort through these 32 combinations to answer our question. Every combination will contain at least one tail, except one: the combination which contains all heads (HHHHH). Which means the rest of the 31 must contain at least one tail.
This fact will stay the same regardless of the number of coin flips you make: the number of ways that contain at least one tail will always be the total number of combinations minus one (the case where all of the flips are heads).
Rochelle is riding a bicycle whose wheels are 26 inches in diameter
Answers
If an asset declines in value from $5000 to $3500 over nine years, what is the mean annual growth rate in the asset's value over these nine years? Round your answer to two decimal places.
Answers
Mean annual growth rate in the asset’s value over the nine years is -3.8856%.
Given that an asset declines in value from $5000 to 3500 over the nine years.
To determine the mean growth rate over some period of time, compute the geometric mean of the growth factors. A growth factor less than one indicate negative growth.
The formula for the geometric mean over n periods is given by
[tex]y_n =\sqrt[n]{ {y_1 \times y_2 \times y_3 \times ......\times y_n}}[/tex]
Suppose an asset declined over nine years.
[tex]3500 = 5000\times({y_1 \times y_2\times y_3 \times ..\times y_9})[/tex]
[tex]{y_1 \times y_2\times y_3 \times ..\times y_9} = 3500/5000\\\ y_1 \times y_2\times y_3 \times ..\times y_9} = 0.7[/tex]
Then, the mean annual growth factor over these nine years is,
[tex]y_9 = \sqrt[9]{0.7}[/tex]
= 0.961144
Compute the mean annual growth rate in the asset’s value.
= (0.961144 - 1) 100%
= -3.8856%
Therefore, the mean annual growth rate in the asset’s value is -3.8856%.
Know more about geometric mean,
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To find the mean annual growth rate of an asset declining from $5000 to $3500 over 9 years, you calculate the growth rate 'r' using the formula P(t) = P0 * e^(rt). The result is about -5.13%, indicating a depreciation in the asset's value.
Explanation:To calculate the mean annual growth rate for an asset that declines in value, we can use the formula for the annual growth rate, which is P(t) = P0 * e(rt), where:
P(t) is the future value of the asset.P0 is the initial value of the asset.e is the base of the natural logarithm.r is the growth rate.t is the time in years.In this case, the value of the asset declines from $5000 to $3500 over 9 years. Therefore, we have:
P0 = $5000P(t) = $3500t = 9 yearsFirst, we need to solve for r in the equation:
3500 = 5000 * e(9r)
By dividing both sides by 5000 and taking the natural logarithm, we get:
ln(3500/5000) = ln(e(9r))
ln(0.7) = 9r
r = ln(0.7)/9
Substitute the value of ln(0.7) and divide by 9:
r = -0.0512932942
Since the result is negative, it indicates a decline, and the annual growth rate is about -5.13%, reflecting a decrease in value.
1) Divide using synthetic division, and write a summary statement in fraction form.
two x to the fifth minus x to the fourth plus three x squared minus x plus five divided by quantity x minus one
a. 2x4 + x3 + 4x2 + 3x + eight divided by quantity x minus one
b. 2x4 + x3 - x2 + 2x + 1 + six divided by quantity x minus one
c. 2x4 + x3 + x2 + 4x + 3 + eight divided by quantity x minus one
d. 2x4 - 3x3 + x + six divided by quantity x minus one
2) Divide f(x) by d(x), and write a summary statement in the form indicated.
f(x) = x4 - 4x3 + 2x2 - 4x + 1; d(x) = x2 + 1
a. f(x) = (x2 + 1)( x2 + 4x + 1)
b. f(x) = (x2 + 1)( x2 - 4x + 1) + 12x + 3
c. f(x) = (x2 + 1)( x2 + 4x + 1) + 12x + 3
d. f(x) = (x2 + 1)( x2 - 4x + 1)
3) Find the remainder when f(x) is divided by (x - k).
f(x) = 3x3 - 4x2 - 3x + 14; k= 3
a. 50
b. 68
c. -12
d. 112
4) Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f.
k = -1; f(x) = 4x3 - 2x2 + 2x + 4; Lower bound?
a. yes
b. no
5) Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.
f(x) = -2x4 + 4x3 + 3x2 + 18
Answers
Refer to the first picture below
The synthetic division works by writing the coefficient only of the polynomials in question in order of the degree of the polynomials.
Our polynomial expression is given: 2x⁵ - x⁴ + 3x² - x + 5
The coefficient in order are 2, -1, 3, 0, -1, 5
The value '0' in the list is for the polynomial x²
Then divide these coefficients by 1 ⇒ you get this value by x - 1 = 0, x = 1
The rest of the step is explained in the picture.
We have an answer [tex]2x^+x^3+x^2+4x+3+ \frac{8}{x+1} [/tex] ⇒ The last term in fraction form is the remainder
Answer: Option C
----------------------------------------------------------------------------------------------------------------
Question 2
We can use the usual way of Algebraic division as shown in picture 2 below
We have no remainder, so the answer to the question is given in the form of factors ⇒ (x² + 1)(x² - 4x + 1)
Answer: Option D
-----------------------------------------------------------------------------------------------------------------
Question 3
We are given the remainder to be k = 3 when we divide f(x) by (x - k)
So, f(3) = 3(3)³ - 4(3)² - 3(3) + 14 = 50
Answer: Option A
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Question 4
k is upper bound when f(x) is divided by (x - k) where k > 0 using the synthetic division and the answer gives all positive numbers
k is lower bound when f(x) is divided by (x - k) where k < 0 using the synthetic division and the answer gives an alternating sign
Refer to picture 3 below, the values of the answer have alternating signs (+) then (-) then (+) then (-) again. This means k = -1 is a lower bound
Answer: YES
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Question 5
Focus on the coefficient of the leading term which is -2x⁴ and the last term, 18.
Factors of -2 is 1, -1, 2, -2 ⇒ Let's call this group as 'p'
Factors of 18 is 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 ⇒ This is group 'q'
Possible values for p ÷ q are
1, -1, 0.5, -0.5, 2, -2, 1.5, -1.5, 6, -6, 3, -3, 9, -9, 4.5, -4.5, 18, -18 ⇒ These are the list for possible roots.
What is the inverse to this statement? Statement : If you feel hungry then you eat.
A. if you don't eat, then you don't feel good
B. if you feel hungry,then you don't eat.
C. If you eat, then you feel hungry
D. If you don't feel hungry, then you don't eat.
Answers
Answer:
D.Because if you feel hungry then you'll eat, but if your not hungry then you won't want to eat. Hope I helped!
Step-by-step explanation:
Which is the range and interquartile range for the data represented by the box-and-whisker plot?
Answers
the interquartile range (IQR) will be the difference of Q3 and Q1.....Q3 is the end of the box and Q1 is the beginning of the box....so ur IQR is gonna be 35 - 21 = 14
1. ABCD is a trapezoid with midsegment EF. If AB = 12 and CD = 24, what is the length of EF?
2. ABCD is a trapezoid with midsegment EF. If AB = 21 and CD = 35, what is the length of EF?
3. ABCD is a trapezoid with midsegment EF. If AB = 7 and EF = 9, what is the length of CD?
4. ABCD is a trapezoid with midsegment EF. If CD = 32 and EF = 22, what is the length of AB?
5. The length of the midsegment of a trapezoid is the _____ of the length of the two bases.
PLEASE HELP ME, SERIOUS ANSWERS ONLY PLEASE
Answers
1.12+24=36 36/2=18
2. 21 + 35 = 56 56/2 = 28
3. (7 + EF)/2 = 9
multiply by 2
7 + EF = 18
subtract 7
EF = 11
4. (AB + 32)/2 = 22
Multiply by 2
AB + 32 = 44
Subract 32
AB = 12
5. Average
Answer:
5
Step-by-step explanation:
V(t)=t2−3t what is the meaning of the quantity v(4) ?
Answers
The equation e=1200+11t represents your elevation e in feet for each minute t you hike from a trailhead. If you graphed this equation, what would the slope represent?
Answers
ASAP HELP FOR NUMBER 13!!
13a, b, c, and d!!
CORRECT ANSWERS PLS
THANK U GUYS SO MUCH!!!
Answers
Each column of the table represents an (x,y) pairing. The first column has x = 0 and y = 2 so (0,2) is one point on this line. Since x = 0 here, this means that we have the y intercept. The y intercept is 2. We'll use this later.
Another point on this line is (3,8) which is drawn from the second column.
Use the two points (0,2) and (3,8) to find the slope m
m = (y2-y1)/(x2-x1)
m = (8-2)/(3-0)
m = 6/3
m = 2
Since the slope is 2 and the y intercept is 2 (see above), this means m = 2 and b = 2
Plug those into y = mx+b and we get y = 2x+2
Answer: y = 2x+2
==============================================
Problem 13b
(0,20) is on the line as the first column shows. The y intercept is 20 since x = 0 here. So b = 20
Another point on this line is (3,8) as drawn from the second column
Slope:
m = (y2-y1)/(x2-x1)
m = (8-20)/(3-0)
m = -12/3
m = -4
Use the slope (m = -4) and the y intercept (b = 20) to get...
y = mx+b
y = -4x+b ... replace m with -4
y = -4x+20 ... replace b with 20
Answer: y = -4x+20
==============================================
Problem 13c
(2,5) and (4,8) are on the line. These two points are drawn from columns 1 and 2 respectively.
Slope
m = (y2-y1)/(x2-x1)
m = (8-5)/(4-2)
m = 3/2
m = 1.5
Note: the fraction 3/2 is equivalent to the decimal form 1.5
Use the slope m = 1.5 along with (x,y) = (2,5) to find the value of b
y = mx+b
y = 1.5x+b ... m is replaced with 1.5
5 = 1.5*2+b ... plug in (x,y) = (2,5)
5 = 3+b
5-3 = 3+b-3
2 = b
b = 2
So we can now update y = mx+b to y = 1.5x+2
Answer: y = 1.5x+2
Note: If your teacher wants a fraction instead of a decimal (for the slope), then you would write [tex]y = \frac{3}{2}x+2[/tex]
==============================================
Problem 13d
(0,20) is on the line. So the y intercept is 20, indicating that b = 20
(3,11) is also on the line
Again as done with 13a-13c, I'm only looking at the first two columns.
Slope
m = (y2-y1)/(x2-x1)
m = (11-20)/(3-0)
m = -9/3
m = -3
Therefore
y = mx+b
turns int
y = -3x+20
after replacing m and b with the values we found earlier
Answer: y = -3x+20
A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same? A) 60 miles B) 180 miles Eliminate C) 222 miles D) 300 miles
HURRY I NEED THE ANSWER.
Answers
Hope this helps girl!!
PLEASE ANSWER IMMEDIATELY
Given the function f(x) = x^2 - 9, classify the polynomial.
A. monomial
B. trinomial
C. binomial
Answers
Hope this helps!! Let me know if you have ANY questions
Binomial
What is the total amount of interest with 12,560 dollar stocks borrowed 2% simple interest for 4 years?
Answers
I=prt
I interest earned?
P principle 12560
R interest rate 0.02
T time 4 years
I=12,560×0.02×4
I=1,004.8
Hope it helps!
What is the opposite of -a
Answers
the opposite of a negative is a positive
so opposite of - a would be positive a
evaluate the expression 6+[(-24)÷6]/19
Answers
Therefore
6 + [(-24) ÷ 6] / 19
= 6 + [ -24/6 ] / 19 handle parentheses first
= 6 + (-4) /19
= 6 - 4/19 handle division
= 110/19
= 5 5/9
Answer:
[tex] \frac{110}{19} \,\, or \,\, 5 \, \frac{5}{19} \,\, or \,\, 5.79[/tex]
Gloria collected 28 fantail and comet goldfish. there were 4 fewer fantails than comets. how many comets did gloria have?
Answers
fantail (f)=comets (c)-4
comets=c
Fantails + comets =28
c-4 +c=28
2c-4=28
2c-4+4=28+4
2c=32
2/2c=32/2
c=16