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3 years ago

Use the substitution method to solve the system of equations. Please help me get this question right

Mathematics

1 answer:

vaieri [72.5K]3 years ago

7 0

Answer: B (2,1)

You know what y is (x-1) so you substitute that for y in the other equation.

3x+ ((4)(x-1))=10

3x+4x-4=10

7x=14

x=2

Then put x=2 into y=x-1

y=2-1

y=1

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Suppose that the function f is defined. , for all real numbers, as follows.

aivan3 [116]

Answer: The values of......

$f(-5)=\frac{9}{4}\\ \\ f(-2)= -1\\ \\ f(4)=0$

Step-by-step explanation:

Given function is: $\left \{ {{f(x)= \frac{1}{4}x^2 -4, if x\neq -2} \atop {=-1, if x=-2}} \right.$

For $f(-5),$ the value of $x$ is -5, which is not equal to -2.

So, $f(-5)= \frac{1}{4}(-5)^2 -4 = \frac{1}{4}(25)-4 =\frac{25}{4}-4=\frac{25-16}{4}=\frac{9}{4}$

For $f(-2),$ the value of $x$ is -2.

So, $f(-2)= -1$

For $f(4),$ the value of $x$ is 4, which is not equal to -2.

So, $f(4)=\frac{1}{4}(4)^2 -4 =\frac{1}{4}(16)-4 =4-4=0$

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3 years ago

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2 years ago

In a translation, the y-coordinates of the pre-image increase by 8. What was the translation?

Mice21 [21]

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3 years ago

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Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points

vladimir2022 [97]

Answer: Ned received 86 Points overall on the test and Ned lost 24 points overall on his test.

Step-by-step explanation: Ned got 19 questions correct and 6 questions incorrect. He as well got 10 bonus points for answering a bonus question correctly. We know each of the questions on the test (excluding the bonus question) is worth 4 points.

If Ned got 19 questions correct that means 19 x 4 = he received 76 points.

If Ned got 6 questions incorrect that means 6 x 4 = he lost 24 points.

If Ned got 1 question correct that is worth 10 points, that means he got an additional 10 points to his score.

We can add the amount of points Ned scored to the amount of bonus points he earned; 76 + 10 = 86 points total on his test.

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2 years ago

Eloise has a piece of string that she cuts into smaller pieces. This line plot shows the lengths of the pieces. Matthew has a pi

Marina86 [1]

Answer:

15 1/3

Step-by-step explanation:

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3 years ago