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irinina [24]
3 years ago
11

What is the factored form of the expression?

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer: The answer is (d) (4x+7)(7x+8).


Step-by-step explanation: Given equation to be factored is

28x^2+81x+56.

The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.

x^2+(a+b)x+ab=(x+a)(x+b).

So, the given equation can be factorised using the above rule. The factorisation is as follows.

28x^2+81x+56\\\\=28x^2+49x+32x+56\\\\=7x(4x+7)+8(4x+7)\\\\=(4x+7)(7x+8).

Thus, the correct option is (d).





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Matilda recently took a statistics quiz in her math class. in one question, 45 of 900 visitors at a local craft show were survey
KonstantinChe [14]

Answer: See explanation

Step-by-step explanation:

a. what is Matilda's error?

The error by Maltida was that she mistakenly thought the population was the sample size. In this case, the 900 visitors aren't the sample but the population.

The population is referred Tina's the entire pool where the sample is picked by the researcher.

b. what is the actual sample

The actual sample is 45. The sample is the smaller version which can be gotten from the entire population. It is a subset from the population of 900 visitors. Therefore, based on the question, it is 45.

8 0
3 years ago
Find the slope of the line that passes through (10, 8) and (1, 9)?
sdas [7]

Answer:

The answer is

<h2>-  \frac{1}{9}</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(10, 8) and (1, 9)

The slope is

m =  \frac{9 - 8}{1 - 10}  =  \frac{1}{ - 9}  \\  =  -  \frac{1}{9}

We have the final answer as

-  \frac{1}{9}  \\

Hope this helps you

7 0
4 years ago
Read 2 more answers
Sixty is 30% of what number
UkoKoshka [18]
The answer is 200 :)))))))
5 0
3 years ago
1 + 1 - 1 = ?<br> For fun- <br> .........
coldgirl [10]

Answer:

1+1=2-1=1

Step-by-step explanation:

lol, this is the hardest question I've done today.

8 0
2 years ago
Read 2 more answers
pat needs 14 sticks of pepperoni to make 28 pizzas.How many sticks of pepperoni are needed to make 36 pizzas
Marizza181 [45]

Answer:

18 sticks of pepperoni

Step-by-step explanation:

In order to solve this problem, we have to find out how many pepperoni sticks are needed for just 1 pizza. If it takes 14 sticks to make 28 pizzas, that means it takes only half a stick to make a single pizza.

Now that we have this information, we can multiply 1/2 by 36 to find out how many sticks of pepperoni are needed to make 36 pizzas.

\frac{1}{2} * 36\\\\\frac{1}{2} * \frac{36}{1} \\ =\\\frac{36}{2} \\ =\\\frac{18}{1}

Therefore, it takes 18 sticks of pepperoni to make 36 pizzas. I hope this helps! Have a lovely day!! :)

7 0
2 years ago
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