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3 years ago

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x+?

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

6 0

Answer:

its option D

Step-by-step explanation:

I took the test on edg.

Brut [27]3 years ago

4 0

Answer:

g(x) = -9(x + 1)2 - 7

Step-by-step explanation:

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Please help me with both questions!!!!

Naya [18.7K]

Answer:

Step-by-step explanation:

16.

points are (0,-3),(2,1),(4,-3)

eq. of line through (0,-3) and (2,1) is

y+3=\frac{1+3}{2-0}(x-0)

or y+3=2x

2x-y=3

as the line is dotted so either < or >.

consider 2x-y>3

put x=0,y=0

0>3

which is not possible .

(0,0) does not satisfy the inequality

Hence shaded region is the required region.

now eq of line through (2,1)and (4,-3) is

y-1=\frac{-3-1}{4-2}(x-2)

y-1=-2(x-2)

y-1=-2x+4

2x+y=5

it is also a dotted line so either < or >

consider 2x+y<5

put x=0,y=0

0<5

which is true.

so (0,0) satisfy this inequality.

so the two inequalities are

2x-y>3

and 2x+y<5

17.

consider the points (0,4),(2,3),(4,4)

eq. of line through (0,4) and (2,3) is

y-4=\frac{3-4}{2-0}(x-0)

y-4=-1/2(x)

2y-8=-x

or x+2y=8

as the line is solid

so either≤ or ≥

consider x+2y≥8

put x=0,y=0

0≥8

which is impossible.

(0,0) does not satisfy the graph.

which is true as graph lies above the line.

again eq. of line through (2,3) and (4,4) is

y-3=\frac{4-3}{4-2}(x-2)

y-3=1/2(x-2)

2y-6=x-2

x-2y=-4

consider x-2y≤-4

put x=0, y=0

0≤-4

which is impossible.

so (0,0) does not satisfy the graph.

so inequality is true as shaded portion is above and left of the line.

so two inequalities are

x+2y≥ 8

and x-2y≤-4

5 0

4 years ago

Căn 84 bình phương trừ 37 bình phương chia 47

BlackZzzverrR [31]

Answer:

$\sqrt{84^{2} } -37^{2} /47$ =257 9/47

Step-by-step explanation:

3 0

3 years ago

At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which wo

ivolga24 [154]

The answer is decreased. the statement "the temperature decreased by 7 degrees indicates that a negative interger should be used

6 0

4 years ago

Read 2 more answers

One stack has 6 cups, and its height is 15 cm. The other one has 12 cups, and its height is 23 cm. How many cups are needed for

Ronch [10]

Answer:

Given

Number of stacks = 2

Stack 1 = 6 cups; h1 = 15cm

Stack 2 = 12 cups; h2 = 23cm

Let's first find the average:

With an average of 4/3, to obtain the number of cups needed to obtain a height of 50m, we have:

50 / (4/3)

= 50 * 3/4

= 150/4

= 37.5

From the answer, we can see that the number of cups is not really proportional to the height of the stack, because the average of stack one and stack 2 are different.

Step-by-step explanation:

7 0

3 years ago

Plz help i need this answer to pass

zysi [14]

Answer:

The equation in slope-intercept form of required line is: $\mathbf{y=\frac{2}{3}(x)-6}$

Step-by-step explanation:

We need to write equation in slope-intercept form to represent the line on the graph.

The general equation in slope-intercept form is: $y=mx+b$

Where m is slope and b is y-intercept

Finding slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}\\$

Looking at he graph we have

$x_1=3, y_1=-4, x_2=6, y_2=-2$

Putting values in formula and finding slope:

$Slope=\frac{-2-(-4)}{6-3}\\\\Slope=\frac{-2+4}{3}\\Slope=\frac{2}{3}$

So, we get slope m = 2/3

Using slope m=2/3 and point (3,-4) we can find y-intercept

$y=mx+b\\\\-4=\frac{2}{3}( 3)+b\\-4=2+b\\b=-4-2\\b=-6$

So, y-intercept b = -6

The equation of line having m=2/3 and b=-6 will be:

$y=mx+b\\y=\frac{2}{3}(x)-6$

The equation in slope-intercept form of required line is: $\mathbf{y=\frac{2}{3}(x)-6}$

7 0

3 years ago