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Talja [164]
3 years ago
6

Question 3 has got me lost, need help much appreciated

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

E. a = 2

Step-by-step explanation:

View Image

The question is asking for what the value of a is for the given polynomial.

They gave you a factor to that polynomial, (x+a), and told you that a can be any real number beside 0.

You might remember that when you factor an equation, all you're doing is finding for what value of x will give you an answer of 0.

This is what you're doing now but in reverse. You're given x+a as a factor, so you know that x=-a will make the function equal 0.

So plug x=-a into the function and solve for a. You'd find that you get a=0 and a=2; however, the question stated that a≠0, so the only answer left is a=2.

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Darcy harvest 8 3/4 acres of corn every 5/6 of an hour. How many acres per hour?
otez555 [7]

Answer:

The answer is 10\frac{1}{2}\ per\ hour.

Step-by-step explanation:

Given:

Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.

Now, to find the acres per hour it takes to harvest.

Darcy harvest = 8\frac{3}{4}=\frac{35}{4}\ acres.

The time he took to harvest = \frac{5}{6}\ hour.

So, to get the acres per hour we put formula:

Distance = \frac{35}{4}\ acres.

Time=\frac{5}{6}\ hour.

Speed=\frac{distance}{time}

Speed=\frac{\frac{35}{4}}{\frac{5}{6}}

Speed=\frac{35}{4}\times \frac{6}{5}

Speed=\frac{210}{20}

Speed=\frac{21}{2}

Speed=10\frac{1}{2}\ per\ hour.

Therefore, the answer is 10\frac{1}{2}\ per\ hour.

3 0
3 years ago
Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie , how many cups of pineapple juice
chubhunter [2.5K]

we know that

Francine uses 2/3 cup of pineapple juice for every 1/3 cup of orange juice to make a smoothie

so

by proportion

Find the number of cups of pineapple for one cup of orange juice

\frac{(2/3)}{(1/3)} \frac{cups\ pineapple}{cups\ orange} =\frac{x}{1} \frac{cups\ pineapple}{cups\ orange}\\ \\x*(1/3)=(2/3) \\ \\x=2\ cups\ pineapple

therefore

<u>the answer is</u>

2\ cups\ pineapple\ juice

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3 years ago
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Area of a rectangle is length * width

9.5*6=57
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2 years ago
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Carly is constructing the inscribed circle for △MNP . She has already used her compass and straightedge to complete the part of
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Place the point of the compass on point J and draw an arc in the interior of the triangle.
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3 years ago
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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
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