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

Find y, at and tu I need help please help

Answers

Answer:

there is no picture... but i will try my best to help you if you post picture in another question

i can’t see the picture, i wish i could help :(

y=100-(1.25)
is it exponential growth or decay ?
what’s the initial value ?
what is the rate of growth or rate of decay ?

Answers

Answer:

You should probably double check the problem. The equation you have is just 100-1.25

please help i don't understand this

Answers

Answer:

Sorry.........................

Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned} A. B. ​ ​ 4 x ​ +1 x+4 ​ =−3 =−12 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Rewrite one side (or both) using the distributive property (Choice B) B Rewrite one side (or both) by combining like terms (Choice C) C Multiply/divide only one side by a non-zero constant (Choice D) D Multiply/divide both sides by the same non-zero constant 2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Answers

The given equations are as follows

[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]

(1) First, multiply both sides of equation A by 4, we have

[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]

[tex]\Rightarrow x+4=-12[/tex]

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

PLS HELP I GET EXTRA CREDIT AND EXPLAIN IN FULL DETAIL!!!!!


You have $18 to buy peppers. Peppers cost $1.50 each. Write and solve an inequality that represents the numbers of peppers you can buy.

Answers

the inequality would be 18>1.5x

this basically means $18 is greater than or equal to 1.5x, where x is the number of peppers you buy at $1.50 for each pepper. So you can buy any amount of peppers from 0 to 12. If you want to make the inequality better it would be 18>1.5x>0 because you can't buy less than 0 peppers

PLZ HELP NOW!! In a group of 75 fourth graders, 21% do not like Skittles. How many students like Skittles? AND PLEASE SHOW WORK LOL

Answers

Answer:

[see below]

Step-by-step explanation:

In a group of 75 fourth graders, 21% do not like Skittles.

This means that 79% of people do like Skittles.

75 * .79 = 59.25 ≈ 59

59 students should like skittles.

Hope this helps.

factorise the following:
[tex]{3x}^{2} + 5x - 12[/tex]

Answers

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form

find the circumcenter

Answers

Answer: (0, -2)

Step-by-step explanation:

At the grocery store, a big bag of candy costs $13.50 for a 5
pound bag. How much does it cost per pound?

Answers

Answer:

$2.70 Per Pound

Step-by-step explanation:

$13.50:5=$2,7 so it costs $2,7 per pound

Find the slope of the line determined by each pair of points: (-1,3), (-6,-4)

Answers

Answer:

[tex]m=\frac{7}{5}[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-1, 3)

Point (-6, -4)

Step 2: Find slope m

Substitute:                  [tex]m=\frac{-4-3}{-6-(-1)}[/tex]Simplify:                      [tex]m=\frac{-4-3}{-6+1}[/tex]Subtract/Add:             [tex]m=\frac{-7}{-5}[/tex]Simplify:                      [tex]m=\frac{7}{5}[/tex]

HELP MEEEEEEEE PMEASE
In order!!!

Answers

Step-by-step explanation:

The value of all the angles in a triangle add up to 180.

So to find x do 180-(66+52)

The angle opposite of x is the same value as x

X+E or X+Z are both equal to 180.

Brianna wants to use a pontoon boat on Saturday at the lake. She has exactly
$200 to spend on the boat rental. The rental is $30 an hour plus a $80 deposit.
How many hours can she rent the pontoon boat for? Create and solve an
equation for this situation.

Answers

Answer:

Step-by-step explanation:

She has 200

80 deposit - 200= 120 left to spend

80+30h=200

If she has 120 left to spend at 30 hr, she could have the boat for 4 hrs

80+30h=200 subtract 80 from both sides

30h=120 divide by the 30

h=4

what is proportional to 35/80​

Answers

Answer:

nhi pta... pdhai dhang se kiya kro

Jessica added the two distances in the table to get a sum
of 26.95 miles.
Jessica's Running Journal
Week 1
11.9 miles
Week 2
15.05 miles
Explain the steps you use to determine if Jessica's
answer is reasonable.
LOTS OF POINTS HELP ASAP

Answers

Yes her answer is reasonable 11.9 + 15.05 = 26.95

Answer:

Round to the nearest whole number and then add the numbers. The estimate should be close in value to the actual sum.

Step-by-step explanation:

solve for b and simplify -17=-3/2b

Answers

Answer:

b = 34/3

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-17 = -3/2b

Step 2: Solve for b

Rewrite:                                       -3/2b = -17Divide both sides by -3/2:          b = 34/3

Step 3: Check

Plug in b to verify it's a solution.

Substitute:                    -17 = -3/2(34/3)Multiply:                        -17 = -17

Write the absolute value equation given the transformations
shifts right 5 units
shifts up 2 units
is reflected
is stretched by 0.5

Answers

Answer:

y = - 0.5 | x - 5 | + 2

Step-by-step explanation:

g(x) = |x|

[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |

[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2

А ____________ is a comparison of two quantities by division.

A. Unit Rate
B. Rate
C. Ratio​

Answers

Answer:

Rate

Step-by-step explanation:

When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .


For f(x) = -5x +9, find f'(15)

Answers

f(x) =-5x+9
f(x) =-5(15)+9
f(x) =- 75+9
f(x)=-66
your answer is -66 :)

Painter A charges $70 to start a job and $80 per hour he/she is there. Painter B charges $100 per hour. Write an inequality that would determine how many hours would the job take for Painter A to be less expensive and solve.

Answers

Let the number of hours be x.

70 + 80x < 100x

20x > 70

x > 3.5

What is the constant of variation, k, for the table?

Answers

k = -2/3

Explanation:

Skylar has a smart phone data plan that costs $50 per month that includes 7 GB of data, but will charge an extra $30 per GB over the included amount. How much would Skylar have to pay in a month where she used 5 GB over the limit? How much would Skylar have to pay in a month where she used went over by

Answers

i have concluded the answer is a
it would be 200 if she used 5 over the limit. 30 x 5 = 150 150+50=200

help me please and thank you​

Answers

the answer is x^9 also use photmath they explain why and give the the answer for equations like this

Please answer ASAAP! ILL GIVE BRAINLIEST

Answers

Answer:

If you use 30 instead of 15, that means that  your sum will double

Step-by-step explanation: 30 is double 15

Please help it's four am and I really hate math

Answers

Answer:

A

Step-by-step explanation:

number books = n

2xn / 15

Rob can lift less than 135 pounds at the weight room. There is already 48 pounds of weights on the bar. Write an inequality that shows the additional weight that Rob can add, w, without being over his maximum.

Answers

Answer:

[tex]x + 46 < 135[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Weight = 48lb[/tex]

He can lift less than 135 implies that, his maximum is:

[tex]Total < 135[/tex]

Required

Determine the additional weight

Let the additional weight be x

Such that

[tex]Total = x + Initial\ Weight[/tex]

[tex]Total = x + 46[/tex]

Substitute x + 46 for Total in [tex]Total < 135[/tex]

[tex]x + 46 < 135[/tex]

Hence, the inequality that describes the scenario is: [tex]x + 46 < 135[/tex]

Plz help, im struggling >:|

Write using algebra.
Jimmy ran m miles in t minutes. What was his speed?

Answers

Answer:

150

Step-by-step explanation:

r150 naka cdi lang HAHAHAHAHAHA

Answer:

Lets say S is speed

S= m/ t

m/t would give us his speed in miles per minute.

CHOOSE THE CORRECT CORRESPONDENCE.

TS <>

A. Side RU
B. Side TU
C. Side RT

Answers

Answer:

i believe its B side Tu

Step-by-step explanation:

I believe it’s C, but please correct me if I’m wrong!

guys please help/ no answers from google!
it's for tomorrow

Answers

Answer:

Length --> x

Width --> y

Perimeter of a rectangle --> 2x + 2y

The length is always 4 cm more than double the width

x - 4 = 2y

y = (x-4)/2

x = 2y + 4

a. The polynomial equation to give the perimeter --> 2(2y+4) + 2((x-4)/2)

b. x - 4 = 2·6 --> x - 4 = 12 --> x = 16

  Perimeter --> 2·16 + 2·6 = 44 cm







it’s algebra can u helpppp lolsss

Answers

6z- 6
Just do the distributive property
I know it’s confusing at first but don’t worry! I’m sure you’ll do great!
Hope this helps!

Answer:

6z - 6

Step-by-step explanation:

When you expand you are removing brackets. This means you multiply the outer number by the ones inside thus:

2(3z-3)

2 times 3z is 6z .

2 times 3 is 6.

So the answer is 6z - 6.

HOPE THIS HELPED

What is the value of k?

Answers

Answer:

k =5

Step-by-step explanation:

triangle =180

180-115=65

65-10-5=50

50/ (4+6)= 5

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