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Dmitry [639]
3 years ago
12

What is the value of x in the solution to the system of linear equations? {y=3x+2 y=x-4 a –7 b –3 c 1 d 5

Mathematics
2 answers:
lyudmila [28]3 years ago
5 0

Since y must equal both 3x+2 and x-4, we deduce that 3x+2 and x-4 must equal each other. So, we have

3x+2=x-4 \iff 2x+2=-4 \iff 2x=-6 \iff x=-3

rodikova [14]3 years ago
5 0

Answer:

b. -3

Step-by-step explanation:

the system is:

y=3x+2\\y=x-4

to find the value of x, we need to eliminate the y variable.

We can eliminate the 'y'  by substracting the equations:

y=3x+2\\-(y=x-4)\\-----------\\y=3x+2\\-y=-x+4\\------------\\y-y=3x-x+2+4

which is simplified to:

0=2x+6

and clearing for x:

2x=-6\\x=-6/2\\x=-3

which is option b.

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Question 6(Multiple Choice Worth 1 points)
Dafna11 [192]

Answer:

O The value of f(2) is smaller than the value of f(1).

Step-by-step explanation:

First, let's solve for both. When the problem says f(1) or f(2), this just means that the x value is equal to that. So:
f(1) = -5(1)^2 + 2(1) + 9 = 6
f(2) = -5(2)^2 + 2(2) + 9 = -7
Since f(1) = 6 and f(2) = -7, we know that f(1) is greater than f(2). Therefore, the value of f(2) is smaller than the value of f(1)

3 0
2 years ago
A survey was done to determine the effect of students changing answers while taking a​ multiple-choice test on which there is on
Umnica [9.8K]

Answer:

6% of the changes were from incorrect to​ incorrect

Step-by-step explanation:

The sum of the percentages must be 100%.

We have these following percentages

65​% of the changes were from incorrect answers to correct

29​% were from correct to incorrect

P% were from incorrect to incorrect

So

65 + 29 + P = 100

P = 100 - 94

P = 6

6% of the changes were from incorrect to​ incorrect

7 0
3 years ago
The exponential function y= a(b)^x passes through the points (3,25) and (8,10). Which of the following is closest to the value o
Yuki888 [10]

If the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

The given exponential equation is:

y=ab^x

The function passes through the points (3, 25) and (8, 10)

Substitute x = 3 and y = 25 into the function y=ab^x

25=ab^3............................(1)

Substitute x = 8 and y = 10 into the function y=ab^x

10=ab^8.............................(2)

Divide equation (2) by equation (1)

\frac{10}{25}=\frac{ab^8}{ab^3}  \\\\0.4=b^5\\\\b=0.4^\frac{1}{5} \\\\b=0.4^{0.2}\\\\b=0.833

Therefore, if the exponential function y=ab^x passes through the points (3,25) and (8,10), the value of b is 0.833

Learn more on exponential functions here: brainly.com/question/12940982

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3 years ago
2. John has written too many checks
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127.98 money he need
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3 years ago
Kevin randomly selects 1 card from a standard deck of 52 cards. What is the probability that the card Kevin selects is a king or
ki77a [65]
<span>A, 13/52 of the cards are hearts, + three more kings (king of hearts has already gone) = 16/52. divide 16 and 52 by 4 = 4/13.</span>
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3 years ago
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