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IceJOKER [234]
3 years ago
8

HELP PLEASE!!! WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(a)

0 < 5 ⇒ f(0) = x + 4 = 0 + 4 = 4

f(0) = 4

(b)

5 ≤ 6 < 7 ⇒ f(6) = 8


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Use linear combination <br><br> 4x-9y=1<br> -2x+3y=-1
kirill [66]

Answer:

  (x, y) = (1, 1/3)

Step-by-step explanation:

The x-coefficient in the first equation is -2 times that in the second equation, so adding twice the second equation to the first will eliminate x:

  (4x -9y) +2(-2x +3y) = (1) +2(-1)

  -3y = -1 . . . . simplify

  y = 1/3 . . . . . divide by -3

The y-coefficient in the first equation is -3 times the y-coefficient in the second equation, so adding 3 times the second equation to the first will eliminate y:

  (4x -9y) +3(-2x +3y) = (1) +3(-1)

  -2x = -2 . . . . . . simplify

  x = 1 . . . . . . . . . divide by -3

The solution is (x, y) = (1, 1/3).

8 0
4 years ago
If 12 times a number is 40 more than 2 times the number, what is the number?
lyudmila [28]

Answer:

480

Step-by-step explanation:

6 0
4 years ago
Mrs. Becker loves Starbucks coffee. Today, while waiting to place her order for her non-fat white chocolate mocha without toppin
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7 0
3 years ago
Read 2 more answers
which function has real zeros at x = −10 and x = −6? f(x) = x2 16x 60 f(x) = x2 − 16x 60 f(x) = x2 4x 60 f(x) = x2 − 4x 60
LiRa [457]

Answer:

Option A is correct

The function x^2+16x+60 has real zeroes at x =-10 and x =-6

Explanation:

Given: The real zeroes or roots are x = -10, and x = -6

To find the quadratic function of degree 2.

x^2- (\alpha+\beta)x + \alpha\beta =0 where α,β are real roots.   ....[1]

Here, α= -10  and β= -6

Sum of the roots:

α+β =  -10+(-6) = -10-6 = -16

Product of the roots:

αβ = (-10)(-6)= 60

Substitute these value in equation [1] we have;

x^2-(-16)x+60 = x^2+16x+60

Therefore, the quadratic function for the real roots at x =-10 and x =-6 ;

x^2+16x+60

8 0
3 years ago
Read 2 more answers
At what x value does the function given below have a hole?<br><br> f(x)=x+3/x2−9
S_A_V [24]

Answer:

hole at x=-3

Step-by-step explanation:

The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)

The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.

So anyways we have (x+3)/(x^2-9)

= (x+3)/((x-3)(x+3))

Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.

4 0
3 years ago
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