Tom bought $81 worth of milk. The price of a bottle of Brand A milk was $1.50 and of Brand B milk was $2.10. He bought 40 bottles of Brand A milk. How many bottles of Brand B milk did he buy? ​

Answer:

y = 3 for 0 <= x < 4

y = 5 for 4 <= x < 8

y = 7 for 8 <= x < 12

y = 9 for 12 <= x < 16

y = 11 for 16 <= x < 20

x represents the number of years of employment.

for example, when x = 4, the employee has been there a full 4 years and is entitled to an additional 2 dollars wage to make the total wage equal to 3 + 2 = 5.

your graph stops at x = 16 because that's the number of years being considered.

at x = 16, the wage will be 11 dollars.

the closed circle indicates the value of y is valid at that value of x.

an open circle indicates the value of y is not valid at that value of x.

for example, when x = 4, y = 3 is not valid anymore, but y = 5 is.

on the 16th year of employment, the employee is entitled to an additional 2 dollars wage and starts earning at a wage of 11 dollars.

at employment (x = 0), the employee starts earning a wage of 3 dollars.

at 4 years (x = 4), the employee starts earning a wage of 5 dollars.

at 8 years (x = 8), the employee starts earning a wage of 7 dollars.

at 12 years (x = 12), the employee starts earning a wage of 9 dollars.

at 16 years (x = 16), the employee starts earning a wage of 11 dollars.

x represents a full year of employment.

y represents the wage the employee is entitled to earn.

Answer:

y = -4x +7

Step-by-step explanation:

First, we need to find the slope of the first equation

8x + 2y = 4

Subtract both sides by 8x

8x + 2y = 4

-8x         -8x

2y = -8x + 4

Then divide both sides by 2 to isolate the variable, y

2y/2 = (-8x + 4)/2

y = -4x + 4

This means the slope is -4, so our other equation will need to have the slope of -4 to be parallel

y = -4x + ?

Wait, the equation also needs to be a line where it goes through (0,7)

Luckily, that just seems to be the y-intercept, so our work is cut out for us.

Here is our equation

y = -4x + 7

You can plug in the numbers to check

7 = -4(0) +7

7 = 0 + 7

7 = 7

Answer:

WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.

hope this helps!

Hello there!

Law of Exponent

[tex] \displaystyle \large{ {a}^{ \frac{m}{n}} = \sqrt[n]{ {a}^{m} } }[/tex]

The first problem asks us to write the cube root of 17 in exponential form. Refer the exponent's law above.

[tex] \displaystyle \large{ \sqrt[3]{17} = \sqrt[n]{ {a}^{m} } }[/tex]

Compare the terms.

Hence,

[tex] \displaystyle \large{ \sqrt[3]{17} = {17}^{ \frac{1}{3} } }[/tex]

The second problem asks us to write 13^{1/2} in radical form. Refer the law above.

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = {a}^{ \frac{m}{n} } }[/tex]

Compare the terms.

Hence,

[tex] \displaystyle \large{ {13}^{ \frac{1}{2} } = \sqrt{13} }[/tex]

Conclusion

Let me know if you have any questions!

Topic: Exponent / Fractional Exponent and n-th root /

Answer:

18

hope it helps

Step-by-step explanation:

A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.

Answer:

y²+y-56=0

56=8×7

8-7=1

(y+8)×(y-7)=0

y=7

or

y=-8

so its 7,-8

Answer:

y = -8, 7.

Step-by-step explanation:

y^2 +9y+2=8y+58

y^2 + 9y + 2 - 8y - 58 = 0

y^2 + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7.

90 degrees

pls give me brainliest

Answer:

x² + 10x - 24

Step-by-step explanation:

Given the roots are x = - 12 and x = 2 then the corresponding factors are

(x + 12) and (x - 2) and their product equals zero , that is

(x + 12)(x - 2) = 0 ← expand using FOIL

X² + 10X - 24 = 0

Answer:

r=-1

Step-by-step explanation:

6-r+3r=4

or, 6+2r=4

or, 2r=-2

or, r=-1

Answer:

Sorry I don't really understand your question, but 28-19 is 9 therefore 9 is more than 0

9 >0

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:

Answer:

17. Vertex R

18. line FG

19. line RS

20. no they aren't collinear but they are coplanar

21. yes they are collinear but they aren't coplanar

22. plane HEF, plane RPE and plane EPQ

Answer:

hope this helps you

have a great day

Answer:

(x - 4)³

Step-by-step explanation:

"The cube of x" would be x³.  The difference of a number and 4 would be x - 4.

Therefore, "the cube of the difference of a number and 4" would be

(x - 4)³

Answer:

5130

Step-by-step explanation:

You just multiply 513 by 10 to get 5130.

You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.

Answer:

Step-by-step explanation:

1 2/4

Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.

That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.

Hope this helps and if possible brainliest please?

Answer:0.46

Step-by-step explanation:

Step-by-step explanation:

3.1.

your question

75x-25=5x+125

collect like terms

70x=150

Divide both side by the coefficient of x

70x/70=150/70

70 ti cancel 70 on x side to leave x alone

:. x=150/70 or 2.14

3.2.

6×(3x-2)=7×(x+3)

multiply by the bracket

18x-12=7x+21

collect like terms

18x+7x=21+12

25x=33

divide by the coefficient of x

25x/25=33/25

x=33/25 or 1.32

3.3.

10/x-3=8

cross multiply(know that 8 is /1)

x‐3×8=10×1

8x-24=10

8x=10+24

8x=34

divide both sides by coefficient of x

8x/8=34/8

8x=34/8 or 4.25

3.4.

x+7=5x-13

collect like terms

7+13=5x-x

20=4x

divide both sides by the coefficient of x

20/4=4x/4

5=x

:.x=5

3.5.

20x+4=4x-46

collect like terms

20x-4x=-46-4

16x=-52

divide both sides by the coefficient of x

16x/16=-52/16

:.x=52/16 or 3.25

Answer:

Assuming this is the full problem.

3x^2-8x+4

Step-by-step explanation:

1. ∠A and ∠B are complementary

2. ∠A + ∠B = 90° and ∠B + ∠C = 90°

3. ∠A = 90° - ∠B

4. ∠C = 90° - ∠B

5. ∠A ≅ ∠C

Answer:

B

Step-by-step explanation:

Using the rules of logarithms

log x + log y = log (xy)

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

Given

[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then

[tex]log_{4}[/tex] x(x + 3) = 1

x(x + 3) = [tex]4^{1}[/tex] = 4

x² + 3x = 4 ( subtract 4 from both sides )

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

However, x > 0 , thus x = 1

Step-by-step explanation:

f(x) = |x-7| + 3

when x is equal to 4, then

f(4) = |4-7| + 3

=-3+3

=0

Answer:

[tex]\boxed {\boxed {\sf f(4)= 6}}[/tex]

Step-by-step explanation:

We are asked to find f(4) for a function. We are finding the output or y-value when the input or x-value is 4.

[tex]f(x)= |x-7| +3[/tex]

Substitute 4 for x in the function.

[tex]f(4) = |4-7| +3[/tex]

Solve inside the absolute value signs.

[tex]f(4)= |-3|+3[/tex]

The absolute value of a number is its distance from 0 on a number line.  It is always the positive version of a number, so the absolute value of -3 is 3.

[tex]f(4)= 3+3[/tex]

Add.

[tex]f(4)= 6[/tex]

For the function f(x)= |x-7| +3, f(4) is equal to 6.

Answer:

Vertex is (-8, 4)  not one of the answers offered!

Step-by-step explanation:

Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

[tex]y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4[/tex]

Complete the square by squaring half the coefficient of x and adding it in the space.

[tex](\frac{16}{2})^2=64[/tex]

Add 64 in the space you made, then compensate for that at the end of the expression by subtracting  [tex]-\frac{1}{8}(64)=-8[/tex]

[tex]y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4[/tex]

The x-coordinate of the vertex is the opposite of +8, the number inside the parentheses.  The y-coordinate of the vertex is the number at the end of the expression.

V(-8, 4)

Answer:

30x + 21 is your best answer

Answer:13 over 30

13/30 or 0.433

Step-by-step explanation:

Answer:

There are 600 students in this school.

Step-by-step explanation:

Let p represent the total population of the school.

Then (1/3)p represents the number of students who like math.  Subtracting this (1/3)p from p gives an expression representing those who do not like math:  

p - (1/3)p = (2/3)p

400 students do not like math, so (2/3)p = 400.

Solve this for p by multiplying both sides by (3/2):

(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.

There are 600 students in this school.

Step-by-step explanation:

the answer is 6

please mark me brainliest

Answer:

[tex] \frac{6q}{q} \\ \frac{6 \times q}{q} \\ when \: q \: is \: divided \: by \: q \: then \: the \: remainder \: is \: 1 \\ 6 \times 1 \\ 6[/tex]