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3 years ago

Factor completely

Mathematics

2 answers:

svet-max [94.6K]3 years ago

8 0

Answer:

B.) 2(5x-4)(x+1)

Step-by-step explanation:

10x^2+2x-8

= 2(5x^2 + x - 4)

= 2(5x^2 + 5x - 4x - 4)

= 2[5x(x + 1) - 4(x + 1)]

= 2(5x-4)(x+1)

Vera_Pavlovna [14]3 years ago

5 0

Answer:

B.) 2(5x - 4)(x + 1).

Step-by-step explanation:

10x^2+2x-8

First divide by the common factor 2:

= 2(5x^2 + x - 4)

Now we factor the expression in the parentheses using the 'ac' method.

5 * -4 = -20 so to get the + x in the middle we need 5x - 4x:

= 2 ( 5x^2 + 5x - 4x - 4)

= 2[ 5x(x + 1) - 4(x + 1)]

= 2(5x - 4)(x + 1) (answer).

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lana [24]

Answer:

486 mm

Step-by-step explanation:

solve each side on it's own first

First 2 rectangles: 288 mm all together

2 rectangle: 144 mm

Triangles: 54 mm

Then add rectangles and triangles:

288 mm + 144 mm + 54 mm = 486 mm

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3 years ago

90 divided by 12 is equal to ?

Gelneren [198K]

90/12 = 7.5

Hope I helped!

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3 years ago

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Lady_Fox [76]

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3 years ago

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Each sister in the Johnson family owns one of these fish tanks. Each tank is shaped like a rectangular prism. They want to combi

Vilka [71]

Answer:

B.)536 $cm^{3}$

Step-by-step explanation:

Find the volume of all the fish tanks.

Green fish tank...

4 x 9 x 6 = 216

Brownish fish tank...

4 x 4 x 8 = 128

Orange Fish tank...

6 x 4 x 8 = 192

Since we are COMBINING the fish tanks, we add the volumes.

216 + 128 + 192 = 536

536 $cm^{3}$

Hope this helped! Please mark as brainlies! Thanks!

7 0

3 years ago

You want to buy a $35,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly paymen

VikaD [51]

$\bigstar\boxed{\large\bf\purple{\leadsto \$3150}}$

__________________________________________

$\large\sf{\underline{Given:}}$

➠ Principal = $ 35000
➠ Rate of interest = 3%
➠ Time = 3 yrs (36 months)

$\large\sf{\underline{Therefore:}}$

‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{Simple\: interest = \left(\dfrac{P\times R\times T}{100}\right)}$

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow \left(\dfrac{35000\times 3\times 3}{100}\right)}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow \cancel{\dfrac{315000}{100}}}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\sf{\longrightarrow 3150}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

$\large\sf{\underline{Your\: monthly\: payments\:will\:be\:\$3150}}$ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

6 0

3 years ago