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3 years ago

Find the smallest zero for the function h(x)=4x^2-8x-60.

1 answer:

8 0

H(x) = 4x² - 8x - 60
0 = 4x² - 8x - 60
  0 = 4(x²) - 4(2x) - 4(15)
  0 = 4(x² - 2x - 15)
4 4
0 = x² - 2x - 15
0 = x² - 5x + 3x - 15
0 = x(x) - x(5) + 3(x) - 3(5)
0 = x(x - 5) + 3(x - 5)
0 = (x + 3)(x - 5)
0 = x + 3 or 0 = x - 5
- 3 - 3 + 5 + 5
3 = x    or    5 = x

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An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a

Luda [366]

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ $9 = 36\% \text{of}{\text{total number of dogs and Cat}$

$9 = \frac{36}{100} \times x$

By cross multiply we get;

$900 = 36 x$

Divide both sides by 36 we get;

$25 = x$

Therefore, total number of dogs and cat population in animal shelter are 25

5 0

3 years ago

Plz help these r the last of my points

IRINA_888 [86]

w=61, the equation is w=(456-a-b-c)/2, so the work would look like 456-132-94-108=122/2=61

3 0

3 years ago

Read 2 more answers

A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (

denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

x = 1800 - 800

x = 1000mL

Therefore,

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

4 0

3 years ago

Zoe shows her work in finding the solution to 9 – 7x = 7 – 4(2x 3). which choice describes the error in her solution?

FinnZ [79.3K]

I'll assume the above equation is: 9 - 7x = 7 - 4(2x+3)

* do distributive multiplication
9 - 7x = 7 - 8x - 12

*move like terms
-7x + 8x = 7 - 12 - 9

* solve for x
x = 7 - 21
x = -14

To check, substitute x by its value -14

9 - 7x = 7 - 4(2x+3)
9 - 7(-14) = 7 -4[2(-14) + 3]
9 + 98 = 7 - 4(-28 +3)
107 = 7 - 4(-25)
107 = 7 + 100
107 = 107

5 0

3 years ago

We call a number peachy if every digit in the number is either a 3 or next to a $3.$ For example, the numbers 333, 83, 303 and 3

Kobotan [32]

Answer:

Step-by-step explanation:

33-1

3r-9

r3-8

r means random digit

9+8+1=19

7 0

4 years ago