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2 years ago

How do you factor 5x^2 = 10x

2 answers:

8 0

$5x^2 = 10x$

$5x^2-10x=10x-10x$

$5x^2-10x=0$

Use quadratic formula

$\quad x_{1,\:2}=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=5,\:b=-10,\:c=0:\quad x_{1,\:2}=\dfrac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:5\cdot \:0}}{2\cdot \:5}$

$x=\dfrac{-\left(-10\right)+\sqrt{\left(-10\right)^2-4\cdot \:5\cdot \:0}}{2\cdot \:5}:\quad 2$

$x=\dfrac{-\left(-10\right)-\sqrt{\left(-10\right)^2-4\cdot \:5\cdot \:0}}{2\cdot \:5}:\quad 0$

$x=2,\:x=0$

alexandr1967 [171]2 years ago

4 0

To begin factoring, set the equation equal to zero - subtract 10x from each side:

5x² = 10x
5x² - 10x = 0

Next, see if you can pull out a GCF, --greatest common factor-- from both terms. You can pull out 5x:

5x² - 10x = 0
5x(x - 2) = 0

The most you can factor the expression is 5x(x - 2) = 0.

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Answer:

the least cookies someone can buy from one person is 6

Step-by-step explanation:

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3 years ago

Help. Solving Multi Step Ratio Problems!

Romashka-Z-Leto [24]

Answer:

Part 1) $30\ coupons$

Part 2) $12\ sandwiches$

Part 3) $60\ push-ups$

Part 4) $96\ minutes$

Part 5) $\$95$

Part 6) $1\frac{7}{8}\ cups\ of\ pretzel$

Step-by-step explanation:

Part 1) we know that

At the Green House of Salad , you get a $1 coupon for every 3 salads you buy

Using proportion

Find out the number of salads you could buy to get $10 in coupons

$\frac{1}{3}=\frac{10}{x} \\\\x=3(10)\\\\x=30\ coupons$

Part 2) we know that

Kim orders catering for $35

She spend $5 on a large order of potato salad and the rest on turkey sandwiches

Each sandwich is $2.50

How many sandwiches does Kim buy?

step 1

Find out how many Kim spent on turkey sandwiches

Subtract $5 from $35

35-5=$30

step 2

Using proportion, find out the number of sandwiches

$\frac{1}{2.50}=\frac{x}{30}\\\\x=30/2.50\\\\x= 12\ sandwiches$

Part 3) we know that

Molly does 10 push-ups at the same time as Liza does 15 push-ups

Using proportion

Find out how many push-ups Liza does when Molly does 40 push-ups

$\frac{10}{15}=\frac{40}{x}\\\\x=15(40)/10\\\\x=60\ push-ups$

Part 4) we know that

A shark swim at a speed of 25 miles per hour

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How long in minutes, does the shark swim before resting?

Using proportion

Find out how long in minutes the shark swim 40 miles

Remember that

$1\ h=60\ min$

$\frac{25}{60}\ \frac{miles}{minutes}=\frac{40}{x}\ \frac{miles}{minutes}\\\\x=60(40)/25\\\\x=96\ minutes$

Part 5) we know that

For every bar of soap that Aly sells, she earns $5

For every mug that Janet sells, she earns twice as much as Aly

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How much money did they make altogether?

step 1

Find out the amount earned by Aly

using proportion

$\frac{1}{5}=\frac{5}{x}\\\\x=5(5)\\\\x=\$25$

step 2

Find out the amount earned by Janet

Remember that

For every mug that Janet sells, she earns twice as much as Aly

For every mug that Janet sells, she earns 2($5)=$10

using proportion

$\frac{1}{10}=\frac{7}{x}\\\\x=10(7)\\\\x=\$70$

step 3

Adds the amount earned by Aly plus the amount earned by Janet

$25+70=\$95$

Part 6) we know that

Ted is making trail mix for a party

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That means

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using proportion

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Convert to mixed number

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6 0

3 years ago

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Bogdan [553]

Answer:

See attached pictures.

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The cosine function always starts and ends at the y=A.

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2 years ago

The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). Write the quadratic function in general f

ddd [48]

Answer:

$f(x)=x^2+3x+2$

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

$f(x)=ax^2+bx+c$

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

$2=a(0)^2+b(0)+c$

$c=2$

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substitute

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$0=a-b+2$ ----> $a=b-2$ ----> equation A

(-2,0)

For x=-2, y=0

substitute

$0=a(-2)^2+b(-2)+2$

$0=4a-2b+2$ ----> equation B

we have the system

$a=b-2$ ----> equation A

$0=4a-2b+2$ ----> equation B

substitute equation A in equation B

$0=4(b-2)-2b+2$

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$0=4b-8-2b+2$

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$b=3$

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$a=3-2=1$

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7 0

2 years ago

Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?

klemol [59]

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then you cross multiply 60 and 100, and 75 and x, so you get
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8 0

2 years ago

Read 2 more answers