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MA_775_DIABLO [31]
3 years ago
12

Line M is represented by the following equation x - y = 8 which equation completes the system that is Satisfied by the solution

(18,10
Mathematics
1 answer:
oee [108]3 years ago
6 0

Line M is represented by the following equation x - y = 8. Therefore, it is the equation equation completes the system that is Satisfied by the solution (18,10.

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The sum of three numbers is 98 . The first number is 7 less than the second. The third number is 3 times the second. What are th
loris [4]

Answer:

14, 21, and 63

Step-by-step explanation:

we can set the three unknown numbers as x, y, and z

so

x + y + z =98

now we are given that the first (x)  is seven less than the second (y)

x = y - 7

the third number (z) is three times the second (y)

z = 3y

since we have an equation for z and x in terms of y, we can plug it into the first equation and solve for y.

(y-7) + y + (3y) =98

y - 7 + y + 3y =98

y + y + 3y =105

5y = 105

y=21

now that we know y, we can plug its value into either the second or the third equation to find x or z (I chose to find z first)

z = 3y

z = 3(21)

z = 63

now we can plug in y to find x

x = y - 7

x = 21 - 7

x = 14

so the three numbers should be 14, 21, and 63

7 0
3 years ago
14 2/3 divided by 3/4
pentagon [3]
I think the answer is 19.46
6 0
3 years ago
Let f(x) = (x − 3)−2. find all values of c in (1, 4) such that f(4) − f(1) = f '(c)(4 − 1). (enter your answers as a comma-separ
Verizon [17]

If the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Given function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1).

In this question we have to apply the mean value theorem, which says that given a secant line between points A and B, there is at least a point C that belongs to the curve and the derivative of that curve exists.

We begin by calculating f(2) and f(5):

f(2)=(2-3)^{-2}

f(2)=1

f(5)=(5-3)^{-2}

f(5)=1

And the slope of the function:

f^{1}(x)=f(5)-f(2)/(5-2)

f^{1}(c)=0

Now,

f^{1} (x)=-2*(x-3)^{-3}

=-2(x-3)^{-3}

=0

-2 is not equal to 0. So there is not any answer.

Hence if the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Learn more about derivatives at brainly.com/question/23819325

#SPJ4

7 0
2 years ago
Convert 0.656 to a fraction. A. 21⁄32 B. 22⁄30 C. 20⁄33 D. 23⁄12
OlgaM077 [116]
The answer is A. 21/32
5 0
4 years ago
Read 2 more answers
Luisa has 24 students in her class. 3/4 of the students speak spanish as well as english. How many students speak both spanish a
neonofarm [45]
Divide 24 by 4 because the denominator is 4..
24÷4=6
Multiply 6 by 3 because the numerator is 3.
6×3=18
<span>18/24 students speak both Spanish and English</span>
6 0
3 years ago
Read 2 more answers
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