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2 years ago

3. Ivan has 15 yards of green felt and 12 yards of

Mathematics

2 answers:

lys-0071 [83]2 years ago

6 0

Answer: 5 yards of green felt and 4 yards of blue felt is used to make each quilt.

Step-by-step explanation:

As per given ,

Length of green felt used to make 3 quilts = 15 yards

Then , the length of green felt used to make 1 quilt = $\dfrac{15}{3}=5\text{ yards}$

Length of blue felt used to make 3 quilts = 12 yards

Then , the length of blue felt used to make 1 quilt = $\dfrac{12}{3}=4\text{ yards}$

Hence, 5 yards of green felt and 4 yards of blue felt is used to make each quilt.

dybincka [34]2 years ago

4 0

Answer:

three yards for blue felt and five yards for green

Step-by-step explanation:

divide each by three

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Complete Question

The complete question is shown on the first uploaded image

Answer:

$g(h(x)) = \sqrt[4]{x^2 + x +5} + 3$

$h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17$

$h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10$

Step-by-step explanation:

From the question we are told that

$h(x) = x^2 + x + 5$

and

$g(x) = \sqrt[4]{x} + 3$

Considering first question

Now we are told g(h(x))

i.e

$g(h(x)) = [x^2 + x + 5 ]^{\frac{1}{4} } + 3$

=> $g(h(x)) = \sqrt[4]{x^2 + x +5} + 3$

Considering second question

Now we are told h(g(x))

i.e

$h(g(x)) = [x^{\frac{1}{4} } + 3]^2 + x^{\frac{1}{4} } + 3 + 5$

=> $h(g(x)) = x^{\frac{1}{2} } + 6x^{\frac{1}{4} } + 9+ x^{\frac{1}{4}} + 8$

=> $h(g(x)) = x^{\frac{1}{2}} + 7x^{\frac{1}{4}} + 17$

=> $h(g(x)) = \sqrt{x} + 7\sqrt[4]{x} + 17$

Considering third question

$h(h(x))= [x^2 + x + 5]^2 + [x^2 + x + 5 ] + 5$

=> $h(h(x)) = [x^2 + x + 5 ]^2 + x^2 + x + 10$

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