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JulijaS [17]
3 years ago
15

Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

  A:  The x-intercept of k(x) is half the x-intercept of h(x)

Step-by-step explanation:

Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.

Hence answer choices B, C, and D can be eliminated.

The x-intercepts are found by setting y=0 and solving for x:

  h(x) = 0 = -2x +4   ⇒   x = 4/2 = 2

  k(x) = 0 = 4x -4   ⇒   x = 4/4 = 1

The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A

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What is the axis of symmetry of a parabola if its x-intercepts are -3 and 5?
ollegr [7]

Answer:

The axis of symmetry will be at 1

Step-by-step explanation:

The middle of -3 and 5 will be the axis :)

-3, -2, -1, 0, 1, 2, 3, 4, 5

-2, -1, 0, 1, 2, 3, 4

-1, 0, 1, 2, 3

0, 1, 2

1

3 0
3 years ago
What’s an equation that passes through the ordered pair (3,7)and has a slope of -4
natita [175]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

According to the statement data we have:

m = -4\\(x, y) :( 3,7)

Then, the equation is of the form:

y = -4x + b

We substitute the given point and find "b":

7 = -4 (3) + b\\7 = -12 + b\\7 + 12 = b\\b = 19

Finally, the equation is of the form:

y = -4x + 19

Answer:

y = -4x + 19

6 0
3 years ago
Which expression is equivalent to (xy)z?<br>o (x+y)+z<br>O2z(xy)<br>O x(y+z)​
____ [38]

Answer:

the first one

Step-by-step explanation:

7 0
3 years ago
mrs. roberts makes 'regular' and 'low sugar' jam. she sells both kinds of jam in 340-grams jar.A Jar Of her Low sugar Jam Contai
Vinvika [58]

Answer:

Percentage of sugar in low sugar jam is

340÷100= 3.4

Divide 3.4 from 102.

102/3.4 =30

Therefore there is 30% of sugar in her low sugar jam

3 0
3 years ago
I need help with this i cant get it whats 7|x|=42 is it -6 or just 6
alexdok [17]
7x =42
x=42÷7=6
not -6
8 0
3 years ago
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