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3 years ago

There are 75 envelopes in a package. How many envelopes are there in 7 packages?

2 answers:

5 0

Answer= D

1package 7 packages
____________=____________
75 envelopes x envelopes

1x=525
divide both sides by 1
x=525 envelopes

antiseptic1488 [7]3 years ago

3 0

75x7= 525 So, there are 525 envelopes.

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The graph shows the function f(x) = 2* What is the value of xwhen f(x) = 8?

soldi70 [24.7K]

Answer:

x=3

Step-by-step explanation:

f(x) = 2^x

Let f(x) =8

8 = 2^x

Rewriting 8 as 2^3

2^3 = 2^x

The bases are the same so the exponents are the same

3=x

3 0

3 years ago

Read 2 more answers

Solve 7x - 2(x + 1) = 6x + 14 A) -12 B) 12 C) -16 D) 16

anzhelika [568]

7x - 2(x + 1) = 6x + 14
7x - 2x - 2 = 6x + 14
5x - 2 = 6x + 14
6x - 5x = -2 - 14
x = -16

answer
C) -16

3 0

3 years ago

What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

Naddik [55]

ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

C is the correct answer.

6 0

4 years ago

Read 2 more answers

Solve the quadratic equation by completing the square.x^2-14x+46=0First choose the appropriate form and fill in the blanks with

Kaylis [27]

x² - 14x + 46 = 0

subtract 46 from both-side

x² - 14x = -46

Add the square of the half of the co-efficient of x

x² - 14x + (-7)² = -46 + 7²

(x-7)² = -46 + 49

(x-7)² =3

Take the square root of both-side

x-7 = ±√3

x-7= ±1.732

Add 7 to both-side of the equation.

x= 7 ± 1.732

Eithe x= 7 + 1.732 or x= 7 - 1.732

x=8.732 or x=5.268

Therefore x = 8.732 , 5.268

7 0

1 year ago

When mrs. myles gave a test, the scores were normally distributed with a mean of 72 and a standard deviation of 8. this means th

irina [24]

The empirical rule states that in a normal distribution,
68% of data is within 1 std deviation of the mean
95% of data is within 2 std deviation of the mean
99.7% of data is within 3 std deviation of the mean

In this case 95% of the cases would be within two std deviations of the mean
mean - 8 and mean + 8
72 - 8 = 64 and 72 + 8 = 80

then 95% of the scores are between 64% and 80% on the test.

5 0

3 years ago