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2 years ago

Translate the phrase into an algebraic expression. The product of c and 3.

Mathematics

2 answers:

kvv77 [185]2 years ago

7 0

C+3 is the answer. Hope this helps

Alona [7]2 years ago

5 0

<u>Answer:</u>

The given phrase "The product of c and 3" can be converted into an algebraic equation as $c \times 3$

<u>Solution:</u>

We are asked to convert an alphabetical phrase into an algebraic expression.

The given phrase that we have to convert into an algebraic expression is product of c and 3.

Where c is a variable and 3 is constant.

And product is the mathematical operation between them.

Product also means multiplication.

Therefore the given phrase can be expressed as: $c \times 3$

where $\times$ represents product or multiplication

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Quadrilateral ABCD is inscribed in a circle.

3241004551 [841]

The meaning of a quadrilateral inscribed in a circle is that the angles on the opposite vertices are supplementary or in other words equals to 180 degrees.

In this exercise it is asked you to find the measure in degrees of angle A. First of all, you have to find the value of x. To do this you have to select two angles on this case angles A and C.

m<A+m<C=180 Substitute the values of angles A and C
2x+9+3x+1=180 Combine like terms
5x+10=180 Subtract in both sides by 10
5x=170 Divide in both sides by 5 to isolate x
x= 34

Now that the value of x is known, you can substitute it into the expression representing angle A.

m<A=2x+9
m<A=2(34)+9
m<A=77

The measure of angle A is 77 degrees.

3 0

3 years ago

The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 1 at x=−5.

satela [25.4K]

Answer:

P(x) = $-0.7(x-5)^{2}(x+5)$

Step-by-step explanation:

Root multiplicity of 2 means the root is repeated 2 times. Root multiplicity of 1 means root is repeated only once.

A polynomial of degree 3 means the largest exponent of x is 3.

Here, the polynomial P(x) has root 5 with multiplicity 2 and -5 with multiplicity 1.

So, P(x) = $a(x-5)^{2}(x+5)$

Where, $a$ is a constant.

Now, it's given that the y intercept is -87.5. Therefore, value of x at y intercept is 0.

We obtain $a$ by plugging in -87.5 for P(x) and 0 for x.

$-87.5=a(0-5)^{2}(0+5)$

$-87.5=a(25\times5)\\ a=-\frac{87.5}{125}=-0.7$

Therefore, the polynomial P(x) is given as:

$P(x) =-0.7(x-5)^{2}(x+5)$

3 0

3 years ago

What is the solution to the following system of equations?

sveticcg [70]

Y=x^2+10x+11
y=x^2+x-7
therefore,
x^2+10x+11=x^2+x-7
x^+10x+11-x^2-x+7=0
9x+18=0
x=-2
y=(-2)^2+10(-2)+11= -5

3 0

3 years ago

Write an equation y is 20% what is x

lisabon 2012 [21]

Answer:

x + .20 = 1

Step-by-step explanation:

The equation would be x + .20= 1, or 1.00, because if you turn 20% into a decimal, it becomes .20. The total you are trying to find is 1 whole, in which this case it would simply be one as there is no other information. The x is first as if you had the .20 first, you would have to divide each side by .20, which would make x = 5, and that would not make sense.

Finding X: To find, subtract on each side by .20 due to the fact you are adding and need to do the opposite, .20-.20 cancels out and 1.00-.20 is .80, so you are left with x=.80

4 0

2 years ago

Pat needs to paint an 8 ft x 36 ft rectangular wall. what is the area that she paints?

lora16 [44]

area = L x W

area = 8 x 36

area = 288 square feet

5 0

2 years ago