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gogolik [260]
2 years ago
6

Write and equation in which the quadratic expression 2x^2 -2x -12 equals 0. Show the expression in factored form and explain wha

t your solutions mean for the equation. Show your work.
a) Take out the GCF
b) Factor the rest of the equation
c) Find the solutions of the equation

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0
2x^2 - 2x - 12 = 0

a) The GCF is 2x

2(x^2 - x - 6) = 0

What multiplies to negative six and adds to negative 1?
Negative 3 and positive 2.

2(x-3)(x+2) = 0

Solutions:

3, -2
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13=10+3 so
13-7=3+10-7=3+3=6
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What numbers add to 21 but equal 472
Anastaziya [24]
Hey there,

All we have to do is 472-21=451

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8 0
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Read 2 more answers
Carolina y su mamá compraron tres tortas de sabores diferentes para la reunión con sus amigos del colegio. De la torta de naranj
Karo-lina-s [1.5K]

Answer: 2 1/5 partes  de torta

Step-by-step explanation:

Para contestar esta pregunta debemos sumar cada parte de torta:

0.7+9/12+6/8 =

Convertimos las fracciones en decimales, para tener todos los valores expresados de la misma forma. Dividiendo:

9/12=0.75

6/8=0.75

Sumamos :

0.7+0.75+0.75 = 2.2 partes = 2 1/5 partes

En conclusión, Carolina y sus amigos comieron 2 1/5 partes de torta.

5 0
3 years ago
phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year
Lelechka [254]

<u>Answer: </u>

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

<u>Solution:</u>

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0
3 years ago
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