how to Evaluate the expression, given functions f and g: f(x) = 3x - 2, g(x) = 7 – x^2. 3f(1)

List both the negative and positive factors of -30 and sum is 1

yanalaym [24]

Answer:

-5 and 6

Step-by-step explanation:

-5 * 6 = -30

-5 + 6 = 1

5 0

1 year ago

Consider this quadratic equation.

soldi70 [24.7K]

Answer:

-(-3) ± √(-3)^2 - 4(2)(-5) / 2(2) (the last choice).

Step-by-step explanation:

Im ignoring the 2^2 in the equation

The equation transforms to

2x^2 - 3x - 5 = 0 (standard form)

So x = -(-3) ± √(-3)^2 - 4(2)(-5) / 2(2)

3 0

1 year ago

Find the area of the shape shown below.

boyakko [2]

Answer:

24

Step-by-step explanation:

the area of the triangle is 4 x 2, which equals 8.

Then you calculate the area of the rectangle.

Area of Rectangle = L x W or (in this case) 8 x 4

8 x 4 = 32

Then you subtract the area of the triangle from the area of the rectangle

So, your equation would be 32 - 8 = 24

Therefore, the area of the shape is 24

8 0

2 years ago

Read 2 more answers

Quick I need help on this, please The screenshot below ( Will Mark As Brainlliest )

Vedmedyk [2.9K]

Answer:

Rate of change/slope: 35

Miles at 10 hours: 350

Step-by-step explanation:

We can find the rate of change or the slope by using the slope formula below:

m = (y2-y1)/(x2-x1) where m is the slope

To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)

m = (140-70)/(4-2)

m = 70/2

m = 35

The rate of change is 35 miles per hour

To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).

y = mx + b

70 = 35(2) + b

70 = 70 + b

b = 0

So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:

y = 35(10)

y = 350

The number of miles at 10 hours is 350 miles

3 0

2 years ago

. Consumer Awareness In 1986, the average cost of a new midsize four-door sedan was $9000. In 1991, the average cost was $12,000

eduard