For the following quadratic equation, find the discriminant. –4x² + 24x – 152 = 0
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Answer:

Perpendicular

Step-by-step explanation:

perpindicular

Step-by-step explanation:

Perpindicular has multiple sides and has a 90 degree plane

Answer:

r = 2.5

Step-by-step explanation:

Consider the y- coordinates of the plotted points

1 , 2.5 , 6.25

The common ratio r is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{2.5}{1}[/tex] = [tex]\frac{6.25}{2.5}[/tex] = 2.5

Answer: y = 4x + 2

Step-by-step explanation:

A linear equation is usually in y= mx + b form, where m is the slope and b is the y-intercept.

In order to calculate the slope, we choose two-point from the graph. (-1 ,-2) and (0, 2).

slope = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

        = (2 - (-2)) / (0 - (-1))

        = (2 + 2) / (0 + 1)

        = 4 / 1

        = 4

y-intercept means the y value when x is 0, according to the graph, the y value when x at 0 was 2. So the y-intercept is 2.

Plug both slope and y-intercept in, we get the equation:

            y = 4x + 2

Answer: y = 4x + 2

Step-by-step explanation:

Answer:

4800$

Step-by-step explanation:

1 day = 600

7 years = 600 x 2 = 1200$

14 years = 1200 x 2 = 2400$

21 years = 2400 x 2 = 4800$

Answer: f 500 Ft./sec

Step-by-step explanation:

By evaluating the derivate of the distance in t = 10s, we will see that at t =  10s the distance is changing at a rate of 464.2 ft/s

We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.

The hypotenuse would be the distance between the radar and the rocket.

Then the distance function is:

[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]

Now we need to get the rate of change, this is given by:

[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]

Now we evaluate this in t = 10s to get:

[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]

If you want to learn more, you can read:

https://brainly.com/question/18904995

Answer:

The correct answer is 33.4516

Approximately it is 33.452

Answer:

y = -2x - 3

Step-by-step explanation:

Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2

y-intercept: 5 - (-2)(-4) = -3

Answer:

D

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 12 when x = 15

12 = 15k ( divide both sides by 15 )

0.8 = k

y = 0.8x ← equation of proportion

When y = 40 , then

40 = 0.8x ( divide both sides by 0.8 )

50 = x → D

Answer:The equation of that is y=kx

Substitute it in and you get

20=6k

Divide 6 on both sides

k=3 1/3

Then since it asks what is the value of y when x is 24 use k in the equation

y=3 1/3*24

so y=80 is the answer

Step-by-step explanation:

Answer:

3is the answer because t

s apply

Step-by-step explanation:

Answer:

Set an equation x+47+48= 136

solve for x

x+95=136

x= 40

so they need to score a 40

Answer:

37/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.

4625 ÷ 1251000 ÷ 125.

Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.

Answer:

5 i think

Step-by-step explanation:

The trapezoid's height (h) is 4 mm(millimeters).

Formula to calculate a trapezoid's height;

2 x Area ÷ by A(short base) + B(large base)

Answer:

x = 14

Step-by-step explanation:

Answer:

60% if this is an edge question

Answer: No

Step-by-step explanation:

you should know that 3/4 is the same as 0.75. -0.75 is smaller than -0.25 because when dealing with negative numbers, what would be the “smaller” number in positive negative integers is actually the larger number as it is closer to 0.

Answer:

-0.25 is greater than -0.75

Step-by-step explanation:

usually if they were positive 0.75 would be bigger but since there negative decimals, -0.25 is greater. By the way, -0.75 is -3/4.

Answer:

50°

Hope you could understand.

If you have any query, feel free to ask.

Answer:

C

Step-by-step explanation:

The answer is C because r =3 I got that because it says triples. a=5 it comes from when it says five files are infected. an=3an-1. an=5(3)n-1. Hope this helps!

Answer:

FE = 43.2

Step-by-step explanation:

FE/36 = 24/20

multply both sides by 36

FE = 24/20 * 36

FE = 43.2

Answer: B

Step-by-step explanation:

Multiply everything in the bracket by -2 and combine like terms

Answer:

It's B

Step-by-step explanation:

Answer:

112

Step-by-step explanation:

8 days when fitted into a half (1/2) gives you 16

7 times 16 gives the answer of 112 (people needed)

Answer:

112 people to do it in 1/2 of a day

Step-by-step explanation:

7 · 8 = 56

56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day

Answer:

3f=5

Step-by-step explanation:

f(x) = x+4

3f=4x

x<5

5<_x<7

7<_x<_10

Answer:

3 loops

Step-by-step explanation:

1.2x = 3.6 [Setting up an equation]

x = 3 [dividing both sides by 1.2]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

this is my attachment answer hope it's helpful to you

Answer:

No solution

Step-by-step explanation:

1.Simplify

3(x+5)-3 = 2(3x+1) -3x

3x+15-3=6x+2-3x

2.Simplify

3x+12=3x+2

3. Combine like terms

3x-3x+12-2=3x-3x+-2

10 does not equal 0

No solution

Answer:

[tex]\boxed{\boxed{\sf No\:Solution}}[/tex]

Step-by-step explanation:

[tex]\sf 3\left(x+5\right)-3=2\left(3x+1\right)-3x[/tex]

Expand: Apply distributive property:

[tex]\sf 3(x+5)-3[/tex]

[tex]\sf 2(3x+1)[/tex]

[tex]\sf 3x+12=3x+2[/tex]

Subtract 12 from both sides:

[tex]\sf 3x+12-12=3x+2-12[/tex]

[tex]\sf 3x=3x-10[/tex]

Subtract 3x from both sides:

[tex]\sf 3x-3x=3x-10-3x[/tex]

[tex]\sf 0=-10[/tex]

Sides are not equal, so therefore there is no Solution.

___________________________________________

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.

a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52

a1 = -52 1/2 = -105/2

an = -105/2 + (n-1)×2