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3 years ago

Factor each completely. 10a² - 9a + 2

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

a= $\frac{2}{5}$ or $\frac{1}{2}$

Step-by-step explanation:

Equate the equation to zero

$10a^{2}$ -9a+2=0

$10a^{2}$ -5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2 OR 2a=1

a= $\frac{2}{5}$ OR a= $\frac{1}{2}$

a= $\frac{2}{5}$ or $\frac{1}{2}$

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Solve 2x+y=3 x+y=5 in substitution method

Nastasia [14]

2x+y=3
- x+y=5
---------------
x=-2

2(-2)+y=3
y=7

-2+y=5
y=7

(-2,7)

4 0

3 years ago

Beau's recipe for granola bars calls for 3 1/2 cups of oatmeal. He only has a 1/6 cup scoop. How many scoops of oatmeal will he

Drupady [299]

There will be $\boxed{\bf 21}$ scoops of oatmeal to complete the recipe.

Further explanation:

Given that Beau’s recipe of granola bars contains $3\frac{1}{2}$ cups of oatmeal.

Beau’s has only $\frac{1}{6}$ cup scoop.

Our aim is to find the number of scoops of oatmeal Beau’s needed to complete the recipe for granola bars.

Total cups of oatmeal are $3\frac{1}{2}$ .

First we have to convert the total cups of oat meal to proper fraction.

$\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}$

There is only $\frac{1}{6}$ cup scoop.

Since there are $\frac{7}{2}$ cups of oatmeal and $\frac{1}{6}$ cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:

$\begin{aligned}\text{Number of scoops required}&=\dfrac{\frac{7}{2}}{\frac{1}{6}}\\&=\dfrac{7}{2}\cdot 6\\&=7\cdot 3\\&=21\end{aligned}$

The total number of scoops is obtained in whole number; therefore, this is our final answer.

Therefore, $\boxed{\bf 21}$ scoops of oatmeal are needed by Beau’s to complete the recipe of granola bars.

Learn more:

1. Learn more about simplified form brainly.com/question/1602237

2. Learn more about equations brainly.com/question/1473992

3. Learn more about fractions brainly.com/question/1648978

4. Learn more about composite function brainly.com/question/2723982

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: Beau’s, recipe, granola, bars, cups, oatmeal, scoop, 3 1/2 ,1/6 cup scoop, complete, cups of oatmeal, fractions, whole number.

7 0

3 years ago

Read 2 more answers

The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod

maria [59]

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)

So answer C is the right answer.

7 0

3 years ago

John is throwing a dart at a dartboard. There are 4 rings that surround the bull's-eye ring,

barxatty [35]

1/19 because the rings would be 1,3,4,5,6 respectively and then u add it up

3 0

2 years ago

I will give you the brainliest if you answer asap please

IRINA_888 [86]

Answer:

168

Step-by-step explanation:

You just need to triple the answer to get 168.

8 0

3 years ago

Factor each completely. 10a² - 9a + 2 ​

Factor each completely. 10a² - 9a + 2