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4 years ago

30% of the track team will compete in the Spring Meet. If 24 students

Mathematics

1 answer:

Fudgin [204]4 years ago

5 0

The answer is 7 people

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Has a slope of -2/5 and goes through (-10,-1)

Aleonysh [2.5K]

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

7 0

3 years ago

Let g(x) = |x + 1|, solve the equation g(x) = 2x + 4

hammer [34]

Answer:

Step-by-step explanation:

g(x)= -x-1 or g(x) = x+1

if g(x) = -x-1

-x-1=2x+4

-x=2x+5

-x/2=x+5

-x/2 -x=5

-x/2-2x/2=5

-x-2x=5

-3x=5

x=5/-3

if g(x) = x+1

x+1=2x+4

x=2x+3

x/2=x+3

x/2-x=3

x/2-2x/2=3

x-2x=3

-x=3

x=3

5 0

3 years ago

So what if i had a box of 8 crayons how much would one crayon cost basically the unit rate.

Llana [10]

Yeah pretty much twenty-one

6 0

4 years ago

A car travelling at a constant speed travels 30 km in 25 minutes.

muminat

Answer:

162km

Step-by-step explanation:

dis=30km

time=5/12hr

speed =(dis÷time)

30÷5/12

30×12/5=72km/h

sp=72km/h

time=21/4hr

dis= sp×time

72×9/4=162km

8 0

3 years ago

Let f(x) = 11x + 2x^2 and g (x) = -7x - 3x^2 + 4 . Find (f + g) (x) and (f - g) (x) . Then evaluate f + g and f - g for x = 2

Firdavs [7]

Composite functions are functions derived from combining other functions

The values of the composite functions are $(f + g)(2) = -3$ and $(f - g)(2) = 41$

<h3>How to determine the composite functions</h3>

The single functions are given as:

$f(x) =11 + 2x^2$

$g(x) = -7x - 3x^2 + 4$

To calculate (f + g)(x), we make use of

$(f + g)(x) = f(x) + g(x)$

So, we have:

$(f + g)(x) = 11 + 2x^2 - 7x - 3x^2 + 4$

Collect the like terms

$(f + g)(x) = 2x^2- 3x^2 - 7x + 4+11$

Evaluate

$(f + g)(x) = - x^2 - 7x + 15$

Substitute 2 for x

$(f + g)(2) = - 2^2 - 7(2) + 15$

$(f + g)(2) = -3$

To calculate (f - g)(x), we make use of

$(f + g)(x) = f(x) - g(x)$

So, we have:

$(f - g)(x) = 11 + 2x^2 + 7x + 3x^2 - 4$

Collect the like terms

$(f - g)(x) = 2x^2 + 3x^2+ 7x - 4 + 11$

Evaluate

$(f - g)(x) = 5x^2+ 7x +7$

Substitute 2 for x

$(f - g)(2) = 5 * 2^2+ 7* 2 +7$

$(f - g)(2) = 41$

Hence, the values of the composite functions are $(f + g)(2) = -3$ and $(f - g)(2) = 41$

Read more about composite functions at:

brainly.com/question/10687170

4 0

2 years ago

Read 2 more answers