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3 years ago

Solve the system of linear equations using Elimination

Mathematics

2 answers:

fgiga [73]3 years ago

8 0

Answer:

x=2

y = 6

This is the answer for above equation

kakasveta [241]3 years ago

6 0

Alright so after solving it the answer would be x=2 and y= 6

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A = √7 + √c and b = √63 + √d where c and d are positive integers.

mrs_skeptik [129]

Answer:

$\displaystyle a:b=\frac{1}{3}$

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

$a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]$

$b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]$

$\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]$

From [3]:

$9c=d$

Replacing into [2]:

$b=\sqrt{63}+\sqrt{9c}$

We can express 63=9*7:

$b=\sqrt{9*7}+\sqrt{9c}$

Taking the square root of 9:

$b=3\sqrt{7}+3\sqrt{c}$

Factoring:

$b=3(\sqrt{7}+\sqrt{c})$

Find the ration a:b:

$\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}$

Simplifying:

$\boxed{a:b=\frac{1}{3}}$

3 0

3 years ago

Otis plans to make 3 batches of sidewalk chalk How much plaster of paris does he need

den301095 [7]

Answer:

$4\frac{1}{2}$ cups plaster of paris.

Step-by-step explanation:

Given:

for one batch of sidewalk chalk = $1\frac{1}{2}$ cup plaster of paris.

Number of bathes = 3

We need to find quantity of plaster of paris.

Solution:

For making 1 batch of sidewalk chalk = $1\frac{1}{2}$ cup plaster of paris.

For making 3 batches of sidewalk chalk = $3\times 1\frac{1}{2}$ cup plaster of paris.

$= 3\times \frac{2\times 1+1}{2}$

$= 3\times \frac{2+1}{2}$

$= 3\times \frac{3}{2}$

$= \frac{3\times 3}{2}$

$= \frac{9}{2}$

$=4\frac{1}{2}$

Therefore, he needed $4\frac{1}{2}$ cups plaster of paris.

5 0

3 years ago

Given the function h(x), determine the functions which correctly decompose h(x) into component functions f(x) and g(x) so that h

nataly862011 [7]

$\text{Hi there! :)}$

$\large\boxed{g(x) = 7x + 2\text{ , } f(x) = \sqrt{x} - 10}$

$\text{h(x) = f(g(x)), so determine what g(x) was substituted into f(x):}\\\\\text{Given the equation } h(x) = \sqrt{7x +2}- 10:\\\\\text{In the part of the equation with a variable, we see that "7x + 2" is in a square root:}$

$\text{Therefore, we can say that g(x) = 7x + 2:}\\\\\text{If h(x) = f(7x + 2), then f(x) must be:}\\\\f(x) = \sqrt{x} - 10$

$\text{The respective functions would be:}\\\\g(x) = 7x + 2\\\\f(x) = \sqrt{x} - 10$

7 0

2 years ago

Two boys are throwing a baseball back and forth. The ball is 4 ft above the ground when it leaves one child’s hand with an upwar

AleksandrR [38]

The answer to this question is A, 12. Hope this helps.

3 0

3 years ago

Read 2 more answers

Explain how you would get the answer please

kompoz [17]

To find the intersection points, you take x^2 - 4x + 9 = -2x + 17

This gives x^2 - 2x - 8 = 0,

which factorises to (x - 4)(x + 2) = 0, giving the solutions x = 4 or x = -2

From the graph, we can see that x is positive, meaning x = 4, so a = 4.

Substituting x = 4 into y = -2x + 17, we get y = -2(4) + 17 = 9, so b = 9.

a + b = 4 + 9 = 13. The answer is B.

3 0

3 years ago