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4 years ago

What is the solution to the system of equations represented by these two lines?

Mathematics

1 answer:

nikdorinn [45]4 years ago

5 0

Answer:

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the two lines.

The lines intersect at (3, 1 ) ← solution

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Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).

musickatia [10]

$\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0$

5 0

4 years ago

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Solve for the value of x 3x - 9 + 12 - 6x = -18

Daniel [21]

Answer:

x =7

Step-by-step explanation:

3x - 9 + 12 - 6x = -18

Combine like terms

-3x +3 = -18

Subtract 3 from each side

-3x +3 -3 = -18 -3

-3x = -21

Divide each side by-3

-3x /-3 = -21 /-3

x =7

8 0

3 years ago

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Consider the equation C = πd which shows the relationship between the diameter and circumference of a circle. What is the consta

lions [1.4K]

Answer:

Step-by-step explanation:

5 0

3 years ago

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2 4/5 x 1/3 = <br> 1 1/4 x 1/5 =

g100num [7]

Answer:

$\frac{14}{15}$
$\frac{1}{4}$

Step-by-step explanation:

Given the following equations:

$2\frac{4}{5} \times\frac{1}{3}$
$1\frac{1}{4} \times\frac{1}{5}$

In order to solve the following equations, we convert the mixed numbers into improper fractions and then solve by multiplying the numerators and the denominators by each other.

$2\frac{4}{5} \times\frac{1}{3}$
$2\frac{4}{5} =5\times2=10+4=\frac{14}{5}$
$\frac{14}{5} \times\frac{1}{3}$
$14\times1=14$
$5\times3=15$
$=\frac{14}{15}$

$1\frac{1}{4} \times\frac{1}{5}$
$1\frac{1}{4} =1\times4=4+1=\frac{5}{4}$
$\frac{5}{4} \times\frac{1}{5}$
$5\times1=5$
$4\times5=20$
$\frac{5}{20} \div5=\frac{1}{4}$
$=\frac{1}{4}$

Hope this helps.

6 0

2 years ago

Which statement about rational numbers is true?

Kamila [148]

Answer:

All fractions contain integers and rational numbers

have a nice day

4 0

3 years ago

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