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3 years ago

Sal pitched 15 games. If Sal pitched 3 out of 5 games his team played, how many games did his team play?

Mathematics

1 answer:

fiasKO [112]3 years ago

7 0

Answer:

As we know he pinched 15 games and he pitched 3/5, we can do a rule of three:

15 - 3/5

x 1

We out a 1 ad that's the total, 5//5

So now we know x = , = 25

He pitched 25 games

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PLZ HELP!!

ludmilkaskok [199]

9514 1404 393

Answer:

y = -3x^2 -9x +30

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...

f(x) = (x +5)(x -2)

At the point x=3, the value of this product is ...

f(3) = (3 +5)(3 -2) = (8)(1) = 8

In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...

y = -3(x +5)(x -2)

y = -3x^2 -9x +30 . . . . . standard form

3 0

3 years ago

A linear function has an x-intercept of 12 and a slope of 3/8. How does this

Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table: slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

Change in x and y between two points. I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y: (-3/8 - (-3/4)) = (-3/8 - (-6/8)) = 3/8

Change in x: (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12). The equation for the data table is y = (2/3)x + b, and we want to find b. Enter any of the data points for x and y and then solve for b. I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0

2 years ago

What is the average rate of change for h(t) between t=0 and t=2

nordsb [41]

Part a: Option D 18 feet per second

Part b: increasing

Solution:

Height $h(t)=-16 t^{2}+50 t+3$

Part a: To find the average rate of change for h(t) between t = 0 and t = 2.

Substitute t = 0 in h(t).

$h(0)=-16 (0)^{2}+50 (0)+3$

h(0) = 3

Substitute t = 2 in h(t).

$h(2)=-16 (2)^{2}+50 (2)+3$

h(2) = 39

Average rate of change formula:

$$=\frac{h(b)-h(a)}{b-a}$

Here, a = 0 and b = 2.

$$=\frac{h(2)-h(0)}{2-0}$

$$=\frac{39-3}{2}$

$$=\frac{36}{2}$

= 18

Average rate of change = 18 feet per second

Option D is the correct answer.

Part b:

This means height of the ball is increasing for 0 < x < 2.

6 0

3 years ago

Solve for x if 5^x=200

vampirchik [111]

Answer:

x ≈ 3.29

Step-by-step explanation:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x = $\frac{ln(200)}{ln(5)}$

Decimal Form:

x = 3.29202967 … ≈ 3.29 (Round to what the question asks, in this case, I rounded to 2 decimal places)

5 0

3 years ago

Read 2 more answers

The graph below plots the values of y for different values of x: (look at graph picture)

Dima020 [189]

Answer:

A: x and y have a strong, positive correlation

Step-by-step explanation:

Correlation coefficient measures the relation between two variable.

it signifies how the value of one variable will change when the change in other variable is made.

Its value ranges from 0 to 1

0 represent no relation
1 represent strong relation

thus, as value increases from 0 to 1 , correlation strength increases.

Correlation coefficient can be negative and positive

negative relation signifies that as value of one variable increases then the value of other will decrease and vice-versa
positive relation signifies that as value of one variable increases then the value of other will also increase and vice versa

Given, that correlation coefficient between x and y is 0.9

since there is no negative sign it means there is positive correlation

value is 0.9

as 0.9 is nearer to 1, it is clear that relation is strong.

based on above discussion

option A

x and y have a strong, positive correlation is correct answer

If we look at graph we can see that as x increases y also increases.

the rate of increase of value of y in response of x is also high.

Thus, graph also shows that there is strong positive correlation

5 0

3 years ago