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3 years ago

Solve for x: x + 5 = -34

Mathematics

2 answers:

deff fn [24]3 years ago

7 0

Answer:

x=-39

Step-by-step explanation:

Nutka1998 [239]3 years ago

3 0

Answer:

- 39

Step-by-step explanation:

-34 - 5 = - 39

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The Chang family is on their way home from a cross-country road trip. During the trip, the function D (t) = 3260 - 55t can be us

Lilit [14]

Answer:

See below.

Step-by-step explanation:

D(t) = 3260 - 55t

The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.

part a:

D(12) = 3260 55(12)

D(12) = 3260 - 660

D(12) = 2600

Interpretation: After 12 hours of driving home, they are 2600 miles from home.

part b:

D(t) = 2490

3260 - 55t = 2490

-55t = -770

t = 14

Interpretation: When they are 2490 miles from home, they have driven for 14 hours.

5 0

3 years ago

Evaluate the expression. Drag the answer into the box to match the expression.

Lelu [443]

$27.((3^{3})^{-1} = 27.(27)^{-1} = 27 .\frac{1}{27} = 1$

This is because $3^{3} = 3 x 3 x 3 = 9 x 3 = 27$

And $(27)^{-1} means \frac{1}{27}$

For this reason, $27. (27)^{-1} = 1$

Positive indices mean we have to multiply the same number twice or thrice based on the value of the index. On the other hand, negative indices mean we have to divide by the same number twice or thrice based on the value of the index.

5 0

3 years ago

Read 2 more answers

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$