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2 years ago

Write the equation for function g(x)

Mathematics

1 answer:

iragen [17]2 years ago

5 0

Answer:

g(x) = (x + 2)^2 + 1

Step-by-step explanation:

From the graph/image that you have provided said translated shift of

f(x) -> g(x)

f(x) = x^2 , g(x) = a(x -h)^2 +k

h is shift right/left

k is shift up/down.

It appears that the shift is left 2 and up 1.

h = -2 and k = 1

g(x) = (x - (-2))^2 +1

g(x) = (x + 2)^2 + 1

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Rachel runs 3.2 miles each weekday and 1.5 miles each day of the weekend how many miles will she have run in six weeks

elena-14-01-66 [18.8K]

3.2 x 5 + 1.5 x 2 = 19

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3 years ago

How to solve this problem

nevsk [136]

Let C be the center of the circle. The measure of arc VSU is $2+114x$ , so the measure of the minor arc VU is $360-(2+114x)=358-114x$ . The central angle VCU also has measure $358-114x$ .

Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so

$m\angle VCU+2m\angle CUV=180$

$\implies m\angle CUV=\dfrac{180-(358-114x)}2=57x-89$

UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so

$(57x-89)+(31x+3)=90$

$\implies88x=176$

$\implies x=2$

So finally,

$m\widehat{VSU}=2+114\cdot2=230$

degrees.

6 0

3 years ago

If y varies directly with x, write an equation for the direct variation. Then find each value.

Viktor [21]

1)
y = kx
-12 = k(9)
k = -4/3

y = (-4/3)(-4)
y = 16/3

2)
y = kx
8 = 20k
k = 2/5

y = (2/5)(10)
y = 4

3)
y= kx
-6 = k(-14)
k = 3/7

-4 = (3/7)x
-4(7/3) = x
x = -28/3

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3 years ago

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mina [271]

Answer:

0.550

Step-by-step explanation:

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3 years ago

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laila [671]

Answer:

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b) in

Step-by-step explanation:

The detailed explanation is attached below

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3 years ago