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Alex
3 years ago
5

Find the product. Simplify your answer. (2s–2)(4s+3)

Mathematics
1 answer:
vova2212 [387]3 years ago
5 0

Use FOIL: <em>(a + b)(c + d) = ac + ad + bc + bd</em>

(2s - 2)(4s + 3)

= (2s)(4s) + (2s)(3) + (-2)(4s) + (-2)(3)

= 8s² + 6s - 8s - 6

<h3>= 8s² - 2s - 6</h3>
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Emily and Andy each go to a hardware store to buy wire.The table shows the relationship between the cost and the length of wire.
Lady_Fox [76]

Answer:

So, Emily will spend,  11.52 unit on wire

and, Andy will spend  18.72 unit on wire.

Step-by-step explanation:

Cost of wire is = \frac {4.80}{120}

                       =  \frac {5.40}{135}

                       = \frac {6.00}{150}

                       = \frac {7.00}{175}  

                        = 0.04 unit/inch

We know that,

 12 inch = 1 foot    and

  1 yard = 3 foot    [Note that unit of a quantity always denoted singular].

So, Emily will spend,

  24 \times 12 \times 0.04 unit

 = 11.52 unit on wire

and, Andy will spend,

  13 \times 3 \times 12 \times 0.04 unit

 = 18.72 unit on wire.

5 0
4 years ago
Evaluate. Write in standard form.
Feliz [49]

Answer:

-i

Step-by-step explanation:

(-i)^0 = 1

(-i)^1 = -i

(-i)^2 = -1

(-i)^3 = -i

(-i)^4 = 1

(-i)^5 = -i

etc.

From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.

213 = 4 * 53 + 1

213 is 1 more than a multiple of 4.

(-i)^213 = (-i)^1 = -i

7 0
3 years ago
5.)<br> A.) 1/ csc 36°<br> B.) csc 36°<br> C.) 1/ tan 36°<br> D.) cos 36°<br> E.) tan 36°
erastovalidia [21]

Answer:

B.) csc \ 36\°

Step-by-step explanation:

Given:

\frac{1}{sin\ 36\°}

We need to rewrite the given expression as single trigonometric function.

Now According to reciprocal Identities given:

sin\theta =\frac{1}{csc\theta}

Also Given;

csc\theta = \frac{1}{sin\theta}

Sow when sin\ 36\°= \frac{1}{csc\ 36\°}

and when \frac{1}{sin\ 36\°}= csc\ 36\°

Hence the Single trigonometric function is  \frac{1}{sin36\°}= csc\ 36\°.

6 0
3 years ago
Dilate the vector (-3,5) by a factor of 3
kherson [118]
The answer is ( -9 , 15)
4 0
3 years ago
Dr. Wong has a table of data in her veterinary office that shows the average lifespans and weights of several popular dog breeds
belka [17]

Answer:

1. The heavier the dogs are, the shorter lifespan they have.

2. The lifespan of a bloodhound is on average 10 years long

3. Number 2

Step-by-step explanation:

#1 explination: Since its obvious that the graph angles downwards as it goes towards the left, and because as you go to the left you get heavier dogs, put 2 and 2 together and you get my answer.

#2 explination: We see 3 dots around 90 pounds, one that lives 11 years, and 2 that live 10 years. Since we need to be accurate, we need to find the average of 10, 11, and 10. (10+10+11)/3=10.33. Now we round to 10, so 10 is our answer.

#3 explination: Since there is a bloodhound that lives to be 14, we have two answers, 2 or 3. 1 doesn't work since if Alfonso doesn't have good estimation, the first two questions wouldn't matter *the more you know*. Since we see no unusual pattern between any of the three dots I mentioned earlier, Dani must of forgotten her dog's age (probably because of that dog years thing.)

4 0
3 years ago
Read 2 more answers
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