the graph of a linear function f passes through the point (-1,9) and has a slope of -3. what is the zero of f?
answer choices:
-6
4
2
-2

Answers

Answer 1

Answer:

Answer: x=2 (third option)

Step-by-step explanation:

Equation of a line

Being m is the slope and (h,k) is a point through which the line passes, the point-slope form of the equation of a line is:

y - k = m ( x - h )

We have the function f passes through the point (-1,9) and has a slope of m=-3. The point-slope equation of the line is:

y - 9 = -3 ( x - (-1) )

Operating:

y - 9 = -3 ( x + 1 )

y - 9 = -3x - 3

Adding 9:

y = -3x + 6

To calculate the zero of the function we set y=0 and solve for x:

-3x + 6 = 0

Subtracting 6:

-3x = - 6

Dividing by -3

x = - 6 / ( - 3 )

x = 2

Answer: x=2 (third option)


Related Questions

another writing equations point and slope.
through (-5,3) slope -3/10

Answers

Answer:

m = 7/2

Step-by-step explanation:

Which is correctly written in standard form of y=-6/7x+12

Answers

Answer:

6x + 7y +84

Step-by-step explanation:

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation in standard form is given as,

ax + by + c = 0

Where -a/b is the slope of the line and c/b is the y-intercept of the line.

The linear equation in slope-intercept form is given below.

y = -(6/7)x + 12

Convert the equation into a standard form. Then we have

y = -(6/7)x + 12

y = (-6x + 84) / 7

7y = - 6x + 84

6x + 7y - 84 = 0

The linear equation y = -(6/7) x + 12 in the standard form will be 6x + 7y - 84 = 0.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Charlie has a $50 gift card to Smoothie World. He purchased the same smoothie 8 times and has $14 left on it. What was the price of each smoothie?

Answers

Answer:

Each smoothie was $4.5.

Step-by-step explanation:

We know that he has $50 to use, and after he used it he had $14 left. That means he used $36.

If you divide 36 by 8, you get 4.5

Hope this helped! :D


The price of each smoothie was 4.5

50-14=36
36/8=4.5

find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.​

Answers

Answer:

√3, and -√3

Step-by-step explanation:

to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x

x²-3=0 add 3 to both sides to isolate x

x² = 3 squareroot both sides

√x²= √3

x= ±√3 are the two zeros

PLEASE ANSWER ILL GIVE BRANLIEST

Answers

Answer:

angle A is congruent to angle R

Step-by-step explanation:

when it gets rotated counterclockwise around point X that is how the triangles end up matching up

Answer:

The answer is 1. ∠A ≅ ∠R

Step-by-step explaation:

Looking at the triangles when they're in their alphabetical order, ΔABC and ΔRST, since they are congruent, that means that if you were to pick an angle in one triangle, it would be equal to the angle in the same place of the other triangle. So if we were to take the first letter from ΔABC it'd be A, and the first letter in ΔRST is R, so that means angles ∠A and ∠R should be congruent.

i need help! ASAP!:(

Answers

Answer:

18(40/360) + 9( 140/360) -3(90/360) -7(90/360)

=2 + 3.5 - 0.75 - 1.75

= $3

What is the slope-intercept form equation of the line that passes through (2, 4) and (4, 10)? (5 points) a y = −3x − 2 b y = −3x + 2 c y = 3x + 2 d y = 3x − 2

Answers

Answer:

d

Step-by-step explanation:


The measure of angle D is 47 degrees and the measure of angle C is 57 degrees. What is the
measure of angle A?


47
57
76
104

Answers

Answer:

D. 104º

Step-by-step explanation:

So the inside of a triangle is equal to 180º and we already know two of the angles.

D = 47º

C = 57º

47 + 57 = 104

To solve angles A and B, we know that a straight line is 180º and we can figure out the angle of B because now all we have to do is subtract 104 from 180.

180 - 104 = 76, B = 76º

Because we know that a straight line is 180º and we already have the measure of angle B, all we have to do now is subtract 76 from 180.

180 - 76 = 104º

What is the percent of change from 4,000 to 5,000?

Answers

Answer:25 percent increase or raise from 4000 is 5000Step-by-step explanation:

(5000 - 4000)/4000 x 100 = (1000/4000) x 100 = 25%

hope this help! ^^

HELPPPP.

Suppose a bird is 500 feet above the ground. It descends at a steady rate. After 10 seconds, it is 250 feet above the ground.
a) Write an equation that gives the height of the bird as a function of time. Be sure to define your variables!
b) After how many seconds will the bird land on the ground?​

Answers

Answer:

500-10x=250

x=how much the bird descended in a second

the bird will land on the ground in another 10 seconds.

Step-by-step explanation:

the bird will land on the ground in 10 seconds since it descended 250 ft in 10 seconds so that is 25 ft per second. then do 250/25 and you get 10. that is how you know the bird will land on the ground in 10 seconds.

Answer:

a) [tex]h(t)=500-25t[/tex]

b) [tex]t=20[/tex]

Step-by-step explanation:

a)

Let [tex]h[/tex] = height above ground

Let [tex]t[/tex] = time

Because the bird descended down to 250 feet in 10 seconds with a steady rate, that means it descends 25 feet per second.

∴   [tex]h(t) = 500-25t[/tex]

b)

To find the time it takes until the bird reaches the ground, [tex]h[/tex] must equal [tex]0[/tex]:

[tex]0=500-25t[/tex]

[tex]25t=500[/tex]

[tex]t=20[/tex]

∴ It takes 20 seconds for the bird to reach the ground.

i don’t know how to do this

Answers

Answer:

A2: 55

A1: 99-55+x:180

X:26

Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!

Answers

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

help if you cannn please

Answers

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.

The density of a certain material is such that it weighs 8 pounds for every 8.5 cups of
volume. Express this density in ounces per fluid ounce. Round your answer to the
nearest hundredth.

Answers

You will have to go step by step

Answer:

1.88

Step-by-step explanation:

If AB ≅ DE , BC = EF, and ∠ACB ≅ ∠DFE, then ΔABC ≅ ΔDEF.

WILL MARK BRAINLIEST
PLZ ASAP

Answers

Answer: The statement is true.

Explanation: AB is approximately equal to DE. BC is equal to EF and angle ACB is approximately equal to angle DEF, therefore triangle ABC is approximately equal to triangle DEF.

Hope this helps :)

Answer:

Cannot be determined

Step-by-step explanation:

It can't be determined because AB=DE, BC=EF, and <ACB=<DFE not <DEF which makes the rule SSA which doesn't prove congruency.

PLEASE HELP WILL MARK BRAINLIEST FOR GOOD AND CORRECT ANSWERS :)

===================================================================

Try to solve the following quadratic equations using the factoring method. If it doesn't work, use the quadratic formula. Sketch the parabola.






1) y = x^2 + 3x + 1














2) y = x^2 + 4x - 8












3) y= x^2 - 5x - 12

Answers

Answer:

Step-by-step explanation:

1) x² + 3x + 1 = 0

a = 1    b = 3     c = 1

=> Δ = b² - 4ac = 9 - 4.1.1 = 5 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{-3+\sqrt{5} }{4}[/tex]

or  x = [tex]\frac{-3-\sqrt{5} }{4}[/tex]

2) x² + 4x - 8 = 0

a = 1    b' = 2    c = -8

Δ' = b'² - ac = 4 - 1.(-8) = 12 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{-2+\sqrt{12} }{1}=-2+\sqrt{12}[/tex]

or x = [tex]-2-\sqrt{12}[/tex]

3) x² - 5x -12 = 0

a = 1       b = -5    c = -12

Δ = b² - 4ac = 25 - 4.1.(-12) = 25 + 48 = 73 > 0

so the quadratic equation have 2 solutions

=> x = [tex]\frac{5+\sqrt{73} }{2}[/tex]

or x = [tex]\frac{5-\sqrt{73} }{2}[/tex]

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in ½ hour?

Answers

Answer:

6.75 miles

Step-by-step explanation:

First, you need to find the unit rate by dividing 27/2. This equals 13.5. Then, multiply this by 1/2 to get 6.75 miles.

Math problem.................................................................. Nah fam you ain't gonna answer it correctly also show work :)

Answers

Answer:

Ok

Step-by-step explanation:

which equation represents the graphed function?
• y=4x - 2
• y=-4x-2
•y= 1/4x-2
•y=-1/4x-2

Answers

y=1/4-2 is the correct answer. you go up one and over four. the y-intercept is -2

Answer:

y= 1/4x-2

Step-by-step explanation:

Let's use the two points we have to find the equation.

y = mx + b

-2 = m(0) + b

So b = -2

-1 = 4m - 2

4m = 1

m = 1/4

If z = −6 + 8i, what is the value of |z|?
2sqrt7
10
28
100

Answers

Answer:

10

Step-by-step explanation:

correct on edg

Answer:

10

Step-by-step explanation:

edge

which three lengths could be the lengths of the sides of a triangles

Answers

Answer:

it’s D

Step-by-step explanation:

A) 6 cm, 23 cm, 11 cm

B) 10 cm, 15 cm, 24 cm

C) 22 cm, 6 cm, 6 cm

D) 15 cm, 9 cm, 24 cm

Over which interval does g have a negative average rate of change? Please answer ASAP!

Answers

Answer:

b

Step-by-step explanation:

when x is -2, y is 7

when x is -1, y is 5

we can see y is decreasing and it continues to decrease until x is 3

The average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

A function g(x) is shown in the table.

As we know the average rate of change of a function can be given:

The average rate of change = change in y values/change in x values

For the interval [1, 5]

The average rate of change = (2-0)/(5-1) = 2/4 = 1/2

For the interval [-2, 3]

The average rate of change = (-5-7)/(3+2) = -12/5

For the interval [-5, 0]

The average rate of change = (3-0)/(0+5) = 3/5

For the interval [-4, -1]

The average rate of change = (5-2)/(-1+4) = 3/3 = 1

Thus, the average rate of change is -12/5 for the interval [-2, 3] which is the negative average rate of change option (B) is correct.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ5

Solve the inequality: 10x<2x+12

Answers

Answer:

10x<2x+12

-2x    -2x  

8x<12

--  --

8    8

x<1.5

Please helpp middle school math

suppose 4<a<7. find all the possible values of 15-2a​

Answers

9514 1404 393

Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

  4 < (15 -x)/2 < 7

  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

What fraction of an hour is 26 minutes give your answer in its simplest form

Answers

Answer:

13/30

Step-by-step explanation:

26 / 60 because there's 60 mins in an hour

and you can divide both the numerator and the denominator by 2 to get:

13/30, which is the simplest form.

WHAT IS THE ANSWER TO B HOW MANY MILES PLEASE

Answers

Answer:

There is nothing attached

Step-by-step explanation:

No question given. What is the problem?

Given the equation y = (1/4)x - 5, what is the zero? Only write the number please

Answers

Answer:

so the zero is (20,0) but just so you know you can go to desmos and it will answer all of your graphing questions.

Step-by-step explanation:

can you please give me brainliest? I would appreciate it soooo much! I just need one more!

(-2,8), (r, 4), m =-1/2

Answers

Answer:

[tex]r=6[/tex]

Step-by-step explanation:

Make an equation in point-slope form where:

the equation is [tex]y-y_{1}=m(x-x_{1})[/tex]m is the slopey1 and x1 are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]

Insert the known values:

[tex](-2_{x1},8_{y1})\\\\m=-\frac{1}{2} \\\\y-8=-\frac{1}{2} (x-(-2))\\\\y-8=-\frac{1}{2} (x+2)[/tex]

Use the distributive property:

[tex]-\frac{1}{2} (x+2)\\\\-\frac{1}{2}(x)-\frac{1}{2}(2)[/tex]

Simplify. Turn the 2 into a fraction by converting to the fraction [tex]\frac{2}{1}[/tex] , which is still equal to 2:

[tex]-\frac{1}{2}(2)\\\\-\frac{1}{2}*\frac{2}{1}[/tex]

Multiply across:

[tex]-\frac{1}{2}*\frac{2}{1} =-\frac{2}{2} =-1[/tex]

Re-insert into the equation:

[tex]y-8=-\frac{1}{2}x-1[/tex]

Solve for y. Add 8 to both sides (to isolate y using inverse operations):

[tex]y-8+8=-\frac{1}{2}x-1+8\\\\y=-\frac{1}{2}x+7[/tex]

Now insert the y value of the other point to find r (which will have the same value as x):

[tex](r_{x},4_{y})\\\\4=-\frac{1}{2}x+7[/tex]

Simplify the fraction by multiplying. Add 1 as the denominator for x:

[tex]-\frac{1}{2}*\frac{x}{1}[/tex]

Multiply across:

[tex]-\frac{1}{2}*\frac{x}{1}=-\frac{x}{2}[/tex]

Re-insert:

[tex]4=-\frac{x}{2} +7[/tex]

Subtract 7 from both sides (to isolate the variable using inverse operations):

[tex]4-7=-\frac{x}{2} +7-7\\\\-3=-\frac{x}{2}[/tex]

Multiply both sides by 2 (to undo the fraction using inverse operations):

[tex]2(-3)=2(-\frac{x}{2}) \\\\-6=-x[/tex]

Divide both sides by -1 (to make the variable positive, since two negatives make a positive):

[tex]\frac{-6}{-1} =\frac{-x}{-1} \\\\x=6[/tex]

Therefore, the value of r is 6.

:Done

Check all like terms to 5x
Ох
0 -30x
5y
O-X
0 40x
5xy

Answers

Answer:

0x, 0-30x, 0-x, 0 40x

Step-by-step explanation:

first correct answer will get brainliest
Write the equation in point-slope form for the line that passes through the given point and has the given slope. (1, 2), slope 3

Answers

Answer:

y-y1 = m(x-x1)

y - 2 = 3(x-1)

y=3x-3+2

y=3x-1

Step-by-step explanation:

first you type down point slope formula

then you plug in the information you have point (1,2) 1 is x1 and 2 is y1 m is 3 because m = slope

then you have to distribute the 3 to the x and the -1 and then isolate y

(how to isolate the y) you must do the opposite of -2 which is +2 whatever you do on one side you have to do to the other

then you combine like terms 3x is alone and -3 +2 equals -1

there is your answer hope that works.

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