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3 years ago

Simplify the expression (x+5)(-7)

Mathematics

2 answers:

Serggg [28]3 years ago

5 0

$(x+5)(-7)$
Distributhing -7 through parantheses
$x*(-7)+5(-7)$
$-7x-35$
The answer is: $-7x-35$

mezya [45]3 years ago

4 0

(x+5)(-7) = -7(x+5) = -7x - 35

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H+p=4(k−7) for k please answer

dmitriy555 [2]

Answer:

(28 + h + p)/4 = k

Step-by-step explanation:

Step 1: Write equation

h + p = 4(k - 7)

Step 2: Solve for k

Distribute 4: h + p = 4k - 28

Add 28 to both sides: 28 + h + p = 4k

Divide both sides by 4: (28 + h + p)/4 = k

3 0

3 years ago

A die is rolled. What is the probability that the number is a factor of 6 or more than 2? Does this scenario represent mutually

goblinko [34]

Factors of 6 are : 1,2,3 and 6.

Let us find probability of getting the number that is a factor of 6.

$P(\text{ The number is a factor of 6})=\frac{4}{6} =\frac{2}{3}$

Now let us find probability of getting a number more than 2 (3,4,5,6).

$P(\text{ The number is a greater than 2})=\frac{4}{6} =\frac{2}{3}$

We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula $P(\text{X or Y})=P(X)+P(Y)-P(\text{X and Y})$ .

$P(\text{ The number is a factor of 6 and greater than 2})=\frac{2}{6} =\frac{1}{3}$

Now we will find probability of getting the number is a factor of 6 or more than 2 using above formula.

$P(\text{ The number is a factor of 6 or greater than 2})=\frac{2}{3} +\frac{2}{3}-\frac{1}{3}$

$P(\text{ The number is a factor of 6 or greater than 2})= \frac{4}{3}-\frac{1}{3}=\frac{3}{3}=1$

Therefore, our probability will be 1 and this scenario represents mutually inclusive events.

6 0

3 years ago

Given the graph y = f(x), explain and contrast the effect of the constant c on the graphs y = f(cx) and y = cf(x).

Igoryamba

Given the graph y = f(x)

The graph y = f(cx), where c is a constant is refered to as horizontal stretch/compression

A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression is the squeezing of the graph towards the y-axis. A compression is a stretch by a factor less than 1.

If | c | < 1 (a fraction between 0 and 1), then the graph is stretched horizontally by a factor of c units.
If | c | > 1, then the graph is compressed horizontally by a factor of c units.

For values of c that are negative, then the horizontal compression or horizontal stretching of the graph is followed by a reflection across the y-axis.

The graph y = cf(x), where c is a constant is referred to as a vertical stretching/compression.

A vertical streching is the stretching of the graph away from the x-axis. A vertical compression is the squeezing of the graph towards the x-axis. A compression is a stretch by a factor less than 1.

If | c | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of c units.
If | c | > 1, then the graph is stretched vertically by a factor of c units.

For values of c that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.

3 0

2 years ago

Tolong dibantu ya! no 12 sampai 15

SSSSS [86.1K]

What is this language?

3 0

3 years ago

Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C