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AVprozaik [17]
3 years ago
15

For the linear equation y=-10+5x the x intercept is ?

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

(2, 0)

Step-by-step explanation:

X intercept is when y = 0.

0 = -10 + 5x

5x = 10

x = 2

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-7.4r - 6.31 = 3.23 - 5.6r
nikdorinn [45]

Answer:

r=−5.3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−7.4r−6.31=3.23−5.6r

−7.4r+−6.31=3.23+−5.6r

−7.4r−6.31=−5.6r+3.23

Step 2: Add 5.6r to both sides.

−7.4r−6.31+5.6r=−5.6r+3.23+5.6r

−1.8r−6.31=3.23

Step 3: Add 6.31 to both sides.

−1.8r−6.31+6.31=3.23+6.31

−1.8r=9.54

Step 4: Divide both sides by -1.8.

−1.8r/−1.8=9.54/−1.8

r=−5.3

4 0
2 years ago
f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
A triangle has side lengths of 7 centimeters, 5 centimeters, and c centimeters.
storchak [24]
Sum of two sides always greater than the third side

If c is the smallest number, then

5 + c > 7
c > 2

If c is the largest number, then

5+7>c
12>c

Adding c>2 and 12>c, you get 12>c>2 for the answer
4 0
3 years ago
Read 2 more answers
Suppose you buy 2 marbles for $0.16 each. You pay for it with 4 quarters. How much change should you get back? Enter your answer
Afina-wow [57]

Answer: You should get 0.68 back

Step-by-step explanation: I just did a test and got 100%

7 0
3 years ago
Read 2 more answers
What is the interquartile range of this data? A.6 B.7 C.8 D.9
Butoxors [25]
Hello!

To find the interquartile range, subtract the value of the upper quartile from the value of the lower quartile. 

33 - 25 = 8

The interquartile range is 8. Hope I helped! :3
6 0
2 years ago
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