Joseph compared the graphs of two functions. The first function wasf(x)=−2x+6. The second function fits the values in the table: x 2 5 8 11 y 2 -4 -10 -16 What is the distance between the y-intercepts of the two functions?

Answer:

B.[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]m=\frac{3}{2}\\n=\frac{1}{2\\} \\\frac{1}{2} (m-\frac{2}{3} n)=\frac{1}{2} (\frac{3}{2} -\frac{2}{3} .\frac{1}{2} )\\=\frac{7}{12}[/tex]

So B is the correct answer.

Expression is a combination of operators, variables and numbers.. The value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

Expression is a combination of operators, variables and numbers.

The given expression is one by two  times of m minus two by three times n.

1/2 (m-2/3n)

where m and n are two variables with values m equal to three by two 3/2 and n equal to one by two.

1/2 (3/2-2/3(1/2))

Firstly we solve the value in parenthesis.

1/2 (3/2-1/3)

LCM of two, three is six

1/2 ((9-2)/6)

Subtract nine and two we get seven

1/2 (7/6)

Now one by two times of seven by six

7/12

So value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

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Answer:

9

Step-by-step explanation:

I've attached a picture, and I hope it's clear and understandable.

Answer: k=9

Step-by-step explanation:

Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.

The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,

2k/3 = 6

2k = 18

k = 9

Answer:

7

Step-by-step explanation:

if v=2 and w=5 you add 5 and 2 and get 7

Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km

Consumption rate = 8L for 100 km

Km per Litre :

8L = 100km

1 L = m

8m = 100

m = (100 ÷ 8)

= 12.5 kilometer per Litre

Number of kilometers for 42 L

12.5 km = 1 L

m = 42 L

Cross multiply

m = 12.5 × 42

m = 525 km

The difference in the distance = 525 - 360 = 165 km

Therefore, the gas can go for a further 165 km

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Answer: no

Step-by-step explanation: no

Answer:

A: (-7, -4)

B: (-3, 8)

Step-by-step explanation:

Ordered pairs are (x,y).

Count the lines and see:

A is 7 to the left and 4 down so (-7, -4)

B is 3 to the left and 8 up so (-3, 8)

REMEMBER X IS ALWAYS FIRST!!

Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)

Hope that helps!

Answer:

=8

Step-by-step explanation: becuase this inst high school this is like third grade

Answer:

45, 30, & 105

Step-by-step explanation:

<B=<D by alt. interior <s

180-150=30, so <C=30, <C=<A by alt interior <s

30+45=75

180-75=105

Answer:

First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.

2y = - 6x + 8

y = (-6x/2) + 8/2

y = - 3x + 4

The current slope is -3 or -3/1

The negative reciprocal is 1/3

Answer: A

0.16

Step-by-step explanation:

just took it

Answer:

Step-by-step explanation:

17. ≈ 1.41 + 5 = 6.41

18. ≈ 1.73 × 2.24 = 3.8752

19. ≈ 3.14 × 25 = 78.5

20. ≈ 2.24 × 2.24 = 5.0176

21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72

22. I’m sorry. I don’t know.

please give me a brainliest answer

Step-by-step explanation:

5⁴×5² = 5⁶

10⁶/10³ = 10³

so, we have 5⁶/10³ = 15.625

and in scientific notation we have to write the first digit (which is not 0) in front of the decimal point, and the following digits of the number as pairings after the decimal point, and then indicate a multiplication with a power of 10 to tell us the right position of the decimal point in the plain number.

so, 15.625 as plain number is

1.5625 × 10¹ in scientific notation.

therefore option 1 is correct.

Let the sons age = x

The dads age would be 3x ( 3 times the sons age)

X + 3x = 48

Simplify:

4x = 48

Divide both sides by 4

X = 12

The sons age is 12

Step-by-step explanation:

The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.

Answer:

m<2 = 94°

Step-by-step explanation:

just have to subtract 132-39=94

Answer:

Step-by-step explanation:

6) y = 2x² +  6x - 80

1) y = 2*x² + 2*3x - 2*40

  y = 2 [ x² + 3x - 40]

2) Sum = 3

Product = -40

Factors = (-5) ; 8   {-5 +8 = 3  ; (-5)*8 = -40}

y = 2 [ x² + 8x - 5x - 40]

      = 2 [ x(x + 8) -  5(x + 8) ]

      = 2 [ (x +8) (x - 5)]

y = 2(x +8)(x -5)

b) y = 0

2(x + 8)(X - 5) = 0

x + 8 = 0 ;  x - 5 = 0

x = -8 ;             x = 5

(-8) ; 5  are the zeros.

Answer:

In triangle ABC, centroid D is on the median line segment AM.

Step-by-step explanation:

If AB=13cm,BC =13cm and AC=10cm, calculate: the height BM of the triangle. In triangle ABC, centroid D is on the median line segment AM.

hope i helped

The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.

New position :

Let the number of overtime hours required weekly = t

Hence,

(14.90 × 40) + 22.35t = 820

596 + 22.35t = 820

22.35t = 820 - 596

22.35t = 224

t = 224 / 22.35

t = 10

Therefore, he'll need 10 hours of overtime.

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Answer:

Yes

Step-by-step explanation:

This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.

Answer:ok

Step-by-step explanation:

ez ez ez ez

Answer: B. (4t - 3)(t - 6)

Step-by-step explanation:

(4t - 3)(t - 6)

= 4t^2 - 24t - 3t + 18

= 4t^2 - 27t + 18

Answer:

B

Step-by-step explanation:

Sum = -27

Product = 18*4 = 72

Factors = (-24) ; (-3)     {(-24)*(-3)=72 & (-24) + (-3) = -27}

4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)

                    = 4t(t -6) - 3(t - 6)

                    = (t - 6)(4t - 3)

Answer:

$25

Step-by-step explanation:

500*0.05=25

Answer:

$25 because 100 is half of 500

Answer:

7

Step-by-step explanation:

it is a 16 digit credit card number. Therefore, start from the first digit and double alternating digits. Add them and the non doubled digits. should be divisible by 10. For double digits, they are added to make single digit.

9+3+8+3+9+4+7+5+6+1+5+3+4+3+3+x = 73+x

final number should be divisible by 10.

x=7

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

Given that a group wants to visit a water park over the summer, and tickets cost $ 10 for each child and $ 15 for each adult, and the group has a total of $ 90 to spend on tickets to the water park, to determine how many people from each group went to the park, the following calculation should be made:

10X + 15Y = 90

Thus, there are different correct options:

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

credit to: francocanacari

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

Answer:

f(m) = -9

Step-by-step explanation:

We replace m with 5 in the function.

f(m) = 1 - 4(m/2) becomes f(5) = 1 - 4(5/2)

then we solve the numbers in the parenthesis first

= 1 - 4 (5/2)

= 1 - 4 (2.5)

= 1 - 10

= -9