The graph of linear function k passes through the points (-3, 0) and (1, 8). Which statement must be true?
A. The x-Intercept of the graph of k is 8.

B. The slope of the graph of k is 2.

C. The graph of k passes through (-1, -8).

D. The zero of k is 3.

Fr someone help me

Answers

Answer 1

Answer:

B. The slope of the graph of k is 2.

Step-by-step explanation:

Find the equation of the line.

The slope is:

m = (8 - 0)/(1 + 3) = 2

The y-intercept is:

0 = -3*2 + bb = 6

The line is:

y = 2x + 6Now lets look at the answer options

A. The x-Intercept of the graph of k is 8.

The x- intercept is -3, False

B. The slope of the graph of k is 2.

m = 2, True

C. The graph of k passes through (-1, -8).

-8 = 2(-1) + 6-8 = 4, False

D. The zero of k is 3.

x = 0 ⇒ y = 0+ 6 = 6,  False
Answer 2

The slope of the graph of k is 2.

The correct statement is B.

Given that the graph of linear function k passes through the points (-3, 0) and (1, 8).

We need to check which option is correct.

To determine the correct statement, let's first find the equation of the linear function k using the given points (-3, 0) and (1, 8).

The slope of a linear function is given by:

slope = (change in y) / (change in x)

Using the points (-3, 0) and (1, 8):

slope = (8 - 0) / (1 - (-3))

slope = 8 / 4

slope = 2

So, the slope of the graph of k is 2.

Now we can write the equation of the linear function using the slope-intercept form: y = mx + b, where m is the slope, and b is the y-intercept.

Using the point (1, 8):

8 = 2 × 1 + b

8 = 2 + b

b = 8 - 2

b = 6

Now, the equation of the linear function k is:

y = 2x + 6

Now, let's evaluate the given statements:

A. The x-Intercept of the graph of k is 8.

To find the x-intercept, we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The x-intercept is -3, not 8. So statement A is false.

B. The slope of the graph of k is 2.

We already found earlier that the slope of k is 2. So statement B is true.

C. The graph of k passes through (-1, -8).

Let's check if (-1, -8) satisfies the equation of k:

-8 = 2 × (-1) + 6

-8 = -2 + 6

-8 = 4

The equation is not satisfied, so statement C is false.

D. The zero of k is 3.

To find the zero of k (the x-value where y = 0), we set y = 0 and solve for x:

0 = 2x + 6

2x = -6

x = -3

The zero of k is -3, not 3. So statement D is false.

In conclusion:

Statement A is false.

Statement B is true.

Statement C is false.

Statement D is false.

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Related Questions

If Mac were to get 76 apples from her friends and then get 3 more from the store, and then find two absolutely fine apples in the sewers, then go for a walk and find 7500 apples in someone's car, how many healthy apples would she find? Bet you can't solve it ;)

Answers

Answer:

3?

Step-by-step explanation:

Answer:

None because the apples are all poisoned.

Step-by-step explanation:

Given that
6
x

5
y
=
14

Find
x
when
y
=
2

Answers

Answer:

x = 4

Step-by-step explanation:

If we plug y in, the equation becomes

6x - 5(2) = 14

6x - 10 =14

6x = 24

x = 4

Which equations are in standard form? Check all that apply
y = 2x + 5
2x + 3y = -6
o 4x+3y = 12
Oy=x-9
=
Olx 3 = 6
0 *x+3 = 6
2 3
O x-y = 5
5x + 3y = 1

Answers

Answer:

2x + 3y = -6

4x + 3y = 12

x - y = 5

5x × 3y = 1

Step-by-step explanation:

Standard form formula ➡ Ax + By = C

Hope this helped :)

I’m confused someone please help!

Answers

Answer:

it would be 4 days

frequency is the number of days in this problem

the number of questions is on the bottom part and the days are on the left part

What is 12x40
What is 90x8,000
What is 7x9

Answers

Answer:

12 x 40 = 480

90 x 8,000 = 720,000

7 x 9 = 63

[tex]Hey! :)[/tex]

[tex]QUESTION:[/tex]

What is 12x40??

[tex]ANSWER:[/tex]

[tex]480[/tex]

[tex]QUESTION:\\90*8,000\\ANSWER:\\720,000\\QUESTION:\\7*9\\ANSWER:\\63[/tex]

[tex]^C^O^M^M^E^N^T^S^:[/tex]

Hope it helps! Brainliest?

[tex]^a^n^s^w^e^r^e^d:\\\\^*GraceRosalia^*[/tex]

3+3+3+34+5+6+7+7+[tex]2+2[/tex]

Answers

Answer:

72

Step-by-step explanation:

Hope it helped brainiest plz

can someone help me understand how to find a slope?
the following question:
find the slope of 8,10 and 2,17

Answers

Answer:

-7/6

Step-by-step explanation:

I have plotted 8,10 and 2,17 on a grid and connected them with a line to help visualize the slope of the line we are trying to find.

The answer can also be written as a decimal as shown below, but it is neater to use the fraction.

Solve for the value of y.

Answers

Answer:

y = 4(degrees)

Step-by-step explanation:

90-60 = 30

30 = 8y-2

32 = 8y

4 = y

lets check

32-2 = 30+60 = 90

correct :D

Hey I really need help with this

Answers

Answer:

2.7 cm

Step-by-step explanation:

subtract DC from EC

2.7cm

Subtract dc from ec

A polynomial function has a root of –6 with multiplicity 1, a root of –2 with multiplicity 3, a root of 0 with multiplicity 2, and a root of 4 with multiplicity 3. If the function has a positive leading coefficient and is of odd degree, which statement about the graph is true?

The graph of the function is positive on (–6, –2).
The graph of the function is negative on (negative infinity, 0).
The graph of the function is positive on (–2, 4).
The graph of the function is negative on (4, infinity).

Answers

Answer:

A. The graph of the function is positive on (–6, –2)

Step-by-step explanation:

The given function is an increasing function that intercepts the x- axis at -6, -2 and 4 and touches at 0.

It has minimum at negative infinity, maximum at positive infinity, local minimums between -2 and 0 and between 0 and 4, local maximum between -6 and -2.

Approximate shape is given in the attached.

Correct choice is the first one, the rest choices are all incorrect.

Help pls!
Given the expression -15 (10 2/3). Rewrite the expression using Distributive Property.​

Answers

Answer:

-160

Step-by-step explanation:

Hope this helps.

A solid sphere is cut into 3 equal wedges. The volume of each wedge is

V=nrSolve the formula for r.

O A. r= VA

B. r = 79V - 47

O c. r= 9V (47)

O D. r = = 1

Answers

It is b become more b

Please help, Giving brainliest! And please show work

Answers

Answer:

4

Step-by-step explanation:

order of operations PEMDAS

parentheses first

[tex](5 + 9) \times 5 \div 7 - 6[/tex]

[tex]14 \times 5 \div 7 - 6[/tex]

multiply

[tex]70 \div 7 - 6[/tex]

divide

[tex]10 - 6[/tex]

subtract

[tex]4[/tex]

Answer:

Your answer to this equation is 4.

Step-by-step explanation:

( 5 + 9 ) × 5 ÷ 7 - 6 =

( 14 ) × 5 ÷ 7 - 6 =

70 ÷ 7 - 6 =

10 - 6 =

4

What type of transformation is shown in the figure?

A) dilation
B) rotation
C) reflection
D) translation

Answers

Answer:

correct answer is b rotation

B im pretty sure, sorry if incorrect

What is 30474x484 and then that divided by 47

Answers

Answer:

313817.3617

Step-by-step explanation:

30474*484 = 14749416

14749416/47 = 313817.3617

Answer:

3687354

Step-by-step explanation:

30474x484 = 14749416

14749416 divided by 4 is 3687354

tell whether the following sequence is geometric or not. If geometric find r

hi can someone please answer my question i really need the complete step-by-step solution. thank you ❤️​

Answers

Answer:

this sequence is geometrical sequence

and it's formula is

[tex]y = a {r}^{n} \\ here \: a \: is \: first \: number \: is \: equal \: 1 \\ and \: the \: ratio \: is \: r \: is \: equal \: - 3 \\ y = 1 \times {( - 3)}^{n} [/tex]

Could a triangle have angle measures of 94°, 106°, and 11° EXPLAIN HOW YOU KNOW.​

Answers

Answer:

Nope

Step-by-step explanation:

All angles have to measure up to where adding up two of any angles will result in a number greater than or equal to the angle that was not added.

But here if we add up 94° and 11°, we end up with 105°.

Since 105° is lower than the angle not added, which is 106°, this triangle cannot exist.

find f^-1(x) where
f(x)=3x+2/x

Answers

Answer:

x = -3y + 2

-3y = x - 2

f^-1(x) = y = -(x-2)/3

Step-by-step explanation:

The inverse here is just straight line so it is a function

Please help I will mark brainliest!

Answers

Answer:

9.

[tex]x \geqslant - 14[/tex]

10. x<7

A 1 pound bag of sunflower seeds provides 96 grams of protein

Answers

Well what’s the question lol-

Bradley earned 15$ painting a fence for 2 hours and $30 for pressure washing the patio and deck for 4 hours. Did he earn the same amound per hour for both jobs?

Answers

Answer:

yes

Step-by-step explanation:

how do you solve the question solve for n 1/3 n = 6

Answers

Answer:

[tex]n = 18 \\ [/tex]

Step-by-step explanation:

[tex] \frac{1}{3} n = 6 \\ n = 6 \div \frac{1}{3} \\ n = 6 \times 3 \\ n = 18 \\ [/tex]

Find the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2.

Answers

The sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5

The nth term of a geometric sequence is given mathematically as;

T(n) = ar^n

where, a = first term of the geometric sequence.

r = common ratio of the sequence

and n = nth term of the sequence.

Therefore, the sum of the first 8 terms of the geometric sequence is;

S(8) = a + ar + ar² + ar³ + ar⁴ + ar⁵ + ar⁶ + ar⁷.

In essence;

since common ratio, r = 2

and first term, a = -2.5

Therefore, we have;

S(8) = -2.5(1 + 2 + 2² + 2³ + 2⁴ + 2⁵ + 2⁶ + 2⁷)

S(8) = -2.5(255)

S(8) = -637.5.

Therefore, the sum of the first eight terms of the geometric sequence whose first term is -2.5 and ratio is 2 is: -637.5

Read more:

https://brainly.com/question/22673892

Name:
Unit 1 Lesson 7 Practice
kylie
Hour:
1. A scale drawing of a school bus has a scale of Vainch to 5 feet. If the length
of the school bus is 4 va inches on the scale drawing, what is the actual
length of the school bus? Explain or show your reasoning.

Answers

Answer:

45 feet

Step-by-step explanation:

4 and 1/2 inches

1/2 =5 feet

put the mixed number into an improper fraction

9/2 *5 = 9*5 = 45 feet

11
W20
A ice cream cone cost $3 plus an additional $0.50 per scoop. James pald a total of $4.50, which equation below
models this situation.
4.50 + 0.50x = 3
0.50x + 3 = 4.50
0.50x = 7.50
3x + 0.50 = 4.50

Answers

Answer:

B: 0.50x + 3 = 4.50

Step-by-step explanation:

James needed an additional 3 scoops so the x would have to be on $0.50. the $3 is what the cone cost so it has to be with the scoop price. $4.50 is the total price of the ice cream so that would be on the other side of the equal sign, resulting in 0.50x + 3 = 4.50

Theres 152 ranch homes and 22 split level homes. How many homes altogether

Answers

Answer:

174 homes

Step-by-step explanation:

152+22

simplify to get your answer:

174

Please solve ASAP. Solving quadratic equations by factorising

Answers

Answer:

x = 1 , x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

2x² - 5x + 3 = 0

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 = 2 × 3 = 6 and sum = - 5

The factors are - 2 and - 3

Use these factors to split the x- term

2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )

2x(x - 1) - 3(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(2x - 3) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

I need the answer to A and B

Answers

Answer:A=2 B=1

Step-by-step explanation:

Solve 4a = 20
solve 3y + 9 = 24
solve y/3 - 5 = 4
solve 3=9 - 4k
solve 6w=4w=9
solve 3x + 8 = 2

please answer with an explanation
60 points given

Answers

Here's the solutions :

1. solve for a :

[tex]4a = 20[/tex]

[tex]a = \dfrac{20}{4} [/tex]

[tex]a = 5[/tex]

2. solve for y :

[tex]3y + 9 = 24[/tex]

[tex]3y = 24 - 9[/tex]

[tex]3y = 15[/tex]

[tex]y = \dfrac{15}{3} [/tex]

[tex]y = 5[/tex]

3. solve for y :

[tex] \dfrac{y}{3} - 5 = 4[/tex]

[tex] \dfrac{y}{3} = 5 + 4[/tex]

[tex] \dfrac{y}{3} = 9[/tex]

[tex]y = 9 \times 3[/tex]

[tex]y = 27[/tex]

4. solve for k :

[tex]3 = 9 - 4k[/tex]

[tex]3 - 9 = -4 k[/tex]

[tex] - 6 = - 4 k[/tex]

[tex]k = \dfrac{ - 6}{ - 4} [/tex]

[tex]k = \dfrac{3}{2} \: \: \: or \: \: 1.5[/tex]

5. there's something wrong with this question.

6. solve for x :

[tex]3x + 8 = 2[/tex]

[tex]3x = 2 - 8[/tex]

[tex]3x = - 6[/tex]

[tex]x = \dfrac{ - 6}{3} [/tex]

[tex]x = - 2[/tex]

i hope it helped...

√45 * √96
Please show your work on how you got the answer!

Answers

Answer:

45=6.7, 96=9.79

Step-by-step explanation:

because (6.7)6.7 =45 that’s how square root works… squared means two times a number

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