All categories

3 years ago

ASAP h(t)=-5t^2+5t+10 Please help me find roots and roots equation

Mathematics

1 answer:

Alex3 years ago

8 0

Answer:

t = -1, 2

Step-by-step explanation:

Step 1: Define

h(t) = -5t² + 5t + 10

Step 2: Factor

h(t) = -5(t² - t - 2)

h(t) = -5(t - 2)(t + 1)

Step 3: Find roots

0 = -5(t - 2)(t + 1)

0 = (t - 2)(t + 1)

t - 2 = 0

t = 2

t + 1 = 0

t = -1

You might be interested in

I need help with this please. :)

jek_recluse [69]

9514 1404 393

Answer:

2x
2
128x +640

Step-by-step explanation:

$\displaystyle\frac{8x^2-4x}{4x-2}=\frac{4x(2x-1)}{2(2x-1)}=\boxed{2x}$

$\displaystyle\frac{8x-4}{x+3}-\frac{12x-20}{2x+6}=\frac{8x-4}{x+3}-\frac{4(3x-5)}{2(x+3)}=\frac{8x-4-2(3x-5)}{x+3}\\\\=\frac{8x-4-6x+10}{x+3}=\frac{2x+6}{x+3}=\frac{2(x+3)}{x+3}=\boxed{2}$

$\displaystyle\frac{(2x+10)^7}{(x+5)^6}=\frac{(2(x+5))^7}{(x+5)^6}=2^7(x+5)^{7-6}=128(x+5)\\\\=\boxed{128x+640}$

5 0

3 years ago

25=35x <br> What does x equal?

jeka57 [31]

Answer:

$\frac{25}{35}$ , which simplifies into $\frac{5}{7}$

Step-by-step explanation:

You divide both sides by 35 and get $\frac{25}{35}$

5 0

2 years ago

The longest side of a triangle is 5 inches longer than the shortest side. The medium side is 2 inches longer than the shortest s

Rom4ik [11]

If we refer to the longest side as x and the shortest side as y and the medium side as z then we come up with this formation:

x+y+z= 22

y is shorter than x by 5 inches so y= x-5

z is longer than y by 2 inches therefore z= x-5 +2

therefore:
x+(x-5)+(x-5+2)=22
x+x-5+x-5+2=22
3x-8=22
3x= 22-8
3x=14
x=
$\frac{14}{3}$

replace x in y and z in previous formations

5 0

4 years ago

i kind of know its C need 2nd opinion A tire manufacturer took a random sample of 50 tires and found that 3 were defective. In a

den301095 [7]

It's kind of not C.

Solve this proportion for 'x':

3/50 = x/2400

Hint: Cross-multiply the proportion, then do what you need to do.

6 0

3 years ago

26. A(-4, -1), B(-4, 6), C(2,6), D(2, -4)

Fudgin [204]

Answer:

I NEEEEEEEED TO SEEEE GRAPHHHHHHHHHHHH

Step-by-step explanation:

5 0

2 years ago