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3 years ago

Cantaloupes are four for $ 9, how many can you buy for $25? which proportion is properly set up?

Mathematics

1 answer:

Lemur [1.5K]3 years ago

7 0

Answer:

you can buy 2 two cantaloupes.

you'll have $7.00

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Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

Sindrei [870]

The first one! hope it helps

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3 years ago

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A hat's original price was $50. It is on sale for 40%0ff. How much does it cost?

yKpoI14uk [10]

Answer:

Step-by-step explanation:

40/100 x 50= 20

50-20=30

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2 years ago

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Use the factor theorem to determine wheatger the first polynomial is a factor of the second polynomial x-3;2x^2-4x+30

ahrayia [7]

Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial x-3;2x^2-4x+30

x−3,2x^2−4x+30

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3 years ago

Find f^-1(x) and it’s domain.

Mrac [35]

Answer: A

Step-by-step explanation:

Letting $f(y)=x$ ,

$x=\sqrt{y}-5\\\\x+5=\sqrt{y}\\\\y=(x+5)^{2}$

Also, the domain of an inverse is the same as the range of the original function, so the range is $x \geq 0$

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2 years ago

Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k

valkas [14]

Answer:

$\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as $proj_ab = \dfrac{b.a}{||a||^2} * a$

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||² = 130

$proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\$

<em>Hence the projection of b unto a is expressed as </em> $\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\$ <em></em>

7 0

3 years ago