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3 years ago

You have worked these hours during the week: 4.5, 8.75, 9.5, 10, and 4.25 hours. How many hours did you work?

Mathematics

2 answers:

d1i1m1o1n [39]3 years ago

7 0

Simply add the hours worked together to find the total, so 4.5+8.75+9.5+10+4.25= your answer.

Westkost [7]3 years ago

5 0

If you know how many hours you have worked during the week, you can find the total amount of hours worked per week by adding all hours altogether.

You have worked 4.5, 8.75, 9.5, 10, and 4.25 hours during the week. Then

4.5 + 8.75 + 9.5 + 10 + 4.25 = 37 hours.

Answer: you worked 37 hours

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Can someone help me with this?

IgorC [24]

The correct answer is C

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7 0

3 years ago

Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind

Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

8 0

3 years ago

Consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)

zhenek [66]

ANSWER

The vertical asymptotes are

$\Rightarrow x=2\:or\:x=-1$

EXPLANATION

We have

$f(x)=\frac{x^2+4}{4x^2-4x-8}$

For vertical asymptotes we set the denominator to zero and solve the quadratic equation;

$4x^2-4x-8=0$

$\Rightarrow x^2-x-2=0$

We split the middle term to obtain,

$x^2+x-2x-2=0$

$\Rightarrow x(x+1)-2(x+1)=0$

$\Rightarrow (x-2)(x+1)=0$

$\Rightarrow x=2\:or\:x=-1$

Therefore the vertical asymptotes are

$x=2\:or\:x=-1$

3 0

3 years ago

Read 2 more answers

Which two expressions are equal?

guapka [62]

Answer: C and d my guy becuz u have to calculate all and see answers moomoo

4 0

3 years ago

Which properties of equality justify steps b and d?

7nadin3 [17]

C. Subtraction Property of Equality; Multiplication Property of Equality

For the first one, you are subtracting 7 from both sides (step b), to help isolate the y

since you are both subtracting, and "both sides" (meaning there is a equal sign) it is Subtraction Property of Equality.

For the second one, you are multiplying 2 from both sides (step d), to help isolate the y

since you are multiplying, and "both sides" (meaning there is a equal sign), it is Multiplication Property of Equality

hope this helps

4 0

3 years ago

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