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3 years ago

Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?

Mathematics

1 answer:

djverab [1.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

One of the lines is going to have the y-intercept of -3

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Select the correct answer

Kaylis [27]

Answer:

B. 1.-1,-2

Step-by-step explanation:

$g(x) = x ^{3} + 2 {x}^{2} - x - 2$

Substitute g(x)=0

$0 = {x}^{3} + 2 {x}^{2} - x - 2$

Move the expression to the left

$0 - {x}^{3} - 2 {x}^{2} + x + 2 = 0$

Factor out -x^2 from the expression

$- {x}^{2} \times (x + 2) + x + 2 = 0$

Factor out (x+2) from the expression

$(x + 2) \times ({x}^{2} + 1) = 0$

When the product of the factor equals 0, at least one factor is 0

$x + 2 = 0$

$- {x}^{2}+ 1 > = 0$

Solve for x

$x = - 2 \\ x = - 1\\ x = 1$

4 0

3 years ago

What is the slope of the graph shown?

astra-53 [7]

Slope is going down so it’s gonna be y=6x+2

6 0

3 years ago

A golfer hits a ball from a starting elevation of 2 feet with a velocity of 70 feet per second down to a green with an elevation

ikadub [295]

Answer:

4.50 s

Step-by-step explanation:

The motion of the ball is represented by the following equation:

$h(t) = 2+70t-16t^2$ (1)

where

h(t) is the elevation at time t

2 ft is the initial elevation at t = 0

+70 ft/s is the initial vertical velocity

$-32 ft/s^2$ is the acceleration due to gravity

The green is located at an elevation of -7 feet, so the ball lands on the green when

h(t) = -7

Substituting into (1)

$-7=2+70t-16t^2$

And re-arranging we get

$16t^2-70t-9=0$

This is a second-order equation in the form

$at^2+bt+c=0$

which has solutions

$t_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (2)

Here we have:

a = 16

b = -70

c = -9

Substituting into (2) we find the solutions:

$t_{1,2}=\frac{70\pm \sqrt{(-70)^2-4(16)(-9)}}{2(16)}$

The two solutions are:

t = 4.50 s

t = -0.125 s

The second solution is negative, and since negative time has no physical meaning, the only correct solution is

t = 4.50 s

5 0

3 years ago

There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing supervisor; position 2 is the ni

Alex Ar [27]

Step-by-step explanation:

Applicants can be filled by equal numbers thus 5 applicants can cover per shift

5 0

3 years ago

How much interest is earned on a principle of $864.27 invested at an interest rate of 8% for 3 years? Round to the nearest cent

amid [387]

Answer:

the interest =20.74

whereas the total sum=8850(the sum is the nearest cent)

<h2>HOPE IT HELPS YOU</h2>

7 0

3 years ago