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STatiana [176]
2 years ago
6

Which of the following is a polynomial function in factored from with zeros at 0, -3, and 4?​

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
6 0

The answer would be: f(x) = x(x + 3)(x – 4)

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-2b+2(b+3)=-3(-b+2)-b<br><br>Solve for b
maks197457 [2]

I believe that “b” would equal 6

4 0
3 years ago
The length of the top of a table is 3 m greater than the width. The area is 70 m^2. Find the dimensions of the table.
Keith_Richards [23]

Let's call the width x. Since the length is three more than the width, it is x+3.


The area (which we know to be 70) is given by the multiplication of width and length:


x(x+3) = 70 \iff x^2+3x = 70 \iff x^2+3x-70 = 0


To solve this equation, you can use the usual quadratic formula: given an equation ax^2+bx+c=0, the two solutions are


x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2a}


which in your case becomes


x_{1,2} = \frac{-3\pm\sqrt{9+280}}{2}  = \frac{-3\pm 17}{2}


So, two solutions are


\frac{-3-17}{20} = -10,\qquad \frac{-3+17}{2} = 7


Since we can't accept a negative length, we only accept the second solution.


So, the dimensions are 7 and 10

5 0
4 years ago
Read 2 more answers
Mr. Umeh’s vehicle has a fuel capacity of 19.5 gallons. Mr. Umeh needs to fill his car with 16 gallons of gas. If the current ga
IceJOKER [234]

Answer:

32.80

Step-by-step explanation:

2.05x16=32.80

8 0
3 years ago
Read 2 more answers
the food bill for meal at a restaurant is $12. THe sales tax is 6.5%, and you leave 15% tip. Wat is the total cost of the meal?
jeka57 [31]

Answer:

Step-by-step explanation:

12*6.5%=0.72

12+15%=13.8

0.72+13.8=14.52

6 0
2 years ago
Darren bought some paint. He used 2 1/4 gallons painting his living room. After that, he had 3 5/6 gallons left. How much paint
Otrada [13]

Answer: 6\frac{1}{12}\ gallons

Step-by-step explanation:

We can make the conversion from mixed numbers to improper fractions:

  • Multiply the whole number part by the denominator of the fraction.
  • Add the numerator of the fraction and the product obtained (This sum will be the new numerator).
  • The denominator is the same.

Then:

2\frac{1}{4}=\frac{(2*4)+1}{4}=\frac{9}{4}\\\\3\frac{5}{6}=\frac{(6*3)+5}{6}=\frac{23}{6}

We need to add the fractions in order to calculate the amount of paint Darren bought. Since the denominators are differente, we must find the Least Common Denominator (LCD):

4=2*2=2^2\\\\6=2*3\\\\\\LCD=2^2*3=12

Then:

\frac{9}{4}+\frac{23}{6}=\frac{27+46}{12}=\frac{73}{12}\ gallons

To convert this improper fraction to a mixed number:

  • When you divide 73 by 12 you get a quotient of 6. This will be the whole number.
  • The remainder obtained is 1. This will be the numerator of the fraction.
  • The denominator does not change.

Then:

\frac{73}{12}\ gallons=6\frac{1}{12}\ gallons

7 0
3 years ago
Read 2 more answers
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