Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x) + 1.

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted down 1 unit.
B.
The graph of h is the graph of g vertically shifted up 1 unit.
C.
The graph of h is the graph of g horizontally shifted right 1 unit.
D.
The graph of h is the graph of g horizontally shifted left 1 unit.

Answer:

A

Step-by-step explanation:

hope this helps

-2x - 8 > 14

add 8 to 14 and get 22

-2x > 22

then divide 22 by -2 and get x < -11

The solution is Option D.

The sum of the arithmetic sequence is 5,490

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic progression be represented as S

Now , the number of terms n = 60

Let the first term be a₁ = 3n , when n = 1

a₁ = 3

Now , the second term a₂ = 3n , when n = 2

a₂ = 6

So , the common difference of the arithmetic sequence d = second term - first term

d = 6 - 3

d = 3

Now , the sum of the first n terms of the sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

S₆₀ = ( 60/2 ) [ 2 ( 3 ) + ( 60 - 1 ) ( 3 ) ]

On simplifying the equation , we get

S₆₀ = 30 [ 6 + 59 ( 3 ) ]

S₆₀ = 30 [ 6 + 177 ]

S₆₀ = 30 ( 183 )

S₆₀ = 5490

Therefore , the value of S is 5,490

Hence , the sum of the arithmetic sequence is 5,490

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

#SPJ2

Answer:

A.20 ft

Step-by-step explanation:

the shadow is double the height of the object.

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9

Answer:

84 bird feeders can be filled

Step-by-step explanation:

Considering there is 14 bags, all you'd have to do is see how many bird feeders can be filled... and to do that, just multiply 14 x 6, because it every bag fills up 6 feeders.  14 x6 =84 bird feeders can be filled.

Answer:

100 times

Step-by-step explanation:

you have a 3/6 chance of rolling less than 4 once

so you multiply 3/6 times 200- you get 600/6

you simplify 600/6 to 100

100 times is the answer.

Have a fantasical day.

Answer: B.) 19.6 feet.

Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.

Label: AC=6 ft,  m<A=73° and <C is a right angle.

Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.

Step-by-step explanation:

IM NOT A BOT I SWEAR.

THIS WEBSITE HELPS https://www.calculatorsoup.com/calculators/math/mixednumbers.php

Answer:

Option 3 - This data set has no outliers.

Step-by-step explanation:

Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}  

To find : Which statement is true about this data set?

Solution :

The statements is all about outlier.

So, we find the outlier of the data.

Step 1- Arranging the data from lowest to highest,

{65,66,66,67,68,70,71,72,78,78,80}  

Step 2 - Find the median of the data  

As the data is odd numbers so the median is  th term.

term.

6th term is 70 ⇒ Median =70

Step 3 - To find Upper quartile and lower quartile  

Lower quartile data set is the median of the upper terms from median

{65,66,66,67,68}

Median of the set is 66

∴    

Upper quartile data set is the median of the lower terms from median

{71,72,78,78,80}

Median of the set is 78  

∴    

Step 4 - To find the interquartile range.

Step 5 - To find the fences for the data set.  

The formula to find range is  

Substitute the values, we get

The range in which data lies is [48,96]

We have seen that all the data lie inside the range.

Therefore, This data set has no outliers.

Hence, Option 3 is correct.

pls give me brainlist

Answer:

Step-by-step explanation:

The general form for a geometric sequence is:

a

n

=

a

1

⋅

r

n

−

1

With this, you can write a system of equations:

a

2

=

a

1

⋅

r

2

−

1

a

5

=

a

1

⋅

r

5

−

1

2

=

a

1

⋅

r

1

0.25

=

a

1

⋅

r

4

r

4

r

1

=

0.25

2

r

3

=

0.125

r

=

0.5

Now, find the first term.

a

2

=

a

1

⋅

0.5

1

2

=

a

1

⋅

0.5

a

1

=

4

Using the formula stated above, we get:

a

n

=

4

⋅

0.5

n

−

1

Answer:

D. 180 mm

Step-by-step explanation:

At the bottom of the shape, we can see the base is 60mm. The next side(left or right) is shown as 20mm. The next side right before the missing piece is 20mm. The width of the missing piece is 10mm. The length of the missing piece is 20mm because:

20 + 20 = 40

60mm - 40mm = 20mm

60mm + 20mm + 20mm + 10mm + 20mm + 10mm + 20mm + 20mm

180 mm

Answer:

c+2<1

Step-by-step explanation:

Since c is located slightly less than -1, and -1+2 = 1; then adding 2 to c would make it slightly less than 1.

Answer:

36.1

Step-by-step explanation:

53.9 + 36.1 = 90

Answer:

22

Step-by-step explanation:

First write an expression to represent the situation.

$1,300,000 ≤ $475,000 + $37,500a

This expression works because the least amount of money that can make to remain profitable is 1,300,000. They already have 475,000 of that and every a (number of ads sold) is $37,500

Using this equation, solve for a.

1300000 ≤ 475000 + 37500a

First, subtract 475000 from both sides.

825000 ≤ 37500a

Then divide both sides of the equation by 37500 to isolate a.

22 ≤ a

22 is less than or equal to a. So they must sell at least 22 ads to remain profitable.

Answer:

I would need the picture please

Step-by-step explanation:

Thank you! Let me know when you've added the question!

You can just give me the height and base.

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.

So, by AAS criteria it would be congruent.

---------------------------

hope it helps...

have a great day!!

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

hope it helps you...

Answer:

The first answer choice is correct

Step-by-step explanation:

Answer:

P

Step-by-step explanation:

The least absolute value is what number is closest to zero.

Answer:

5x2 + 20x + 32 = 0 - 16977324

Step-by-step explanation:

Answer: 3/5 or 60% chance of not drawing red

Step-by-step explanation:

12 red

13 green

5 blue

30 total

30 - 12 = 18

so 18/30 or 3/5

Answer:

1-m< +m<2 =180°

2-congruent

3-supplementary

4-m<1 + m<3 = 180°

5-m<2 + m<3 = 180°

Answer:

$14

Step-by-step explanation:

The total amount, C charged by an electrician for h hours of work is ;

C= 7h+125

If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:

From the equation :

C= 7h+125

The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.

For 2 more hours of work :

Additional amount = 7h ; h = 2

7h = 7 * 2 = 14

Hence, Mrs Sanchez pays $14 more.

Answer:

4x - 3 = 37

+3         +3

4x = 40

Divide by 4 on both sides:

X = 10

Step-by-step explanation:

x=10

.......................

Answer:

so the 2 questions i see are surveys so... you have to answer them with truth on your own self

Step-by-step explanation:

Answer:

hi i am the person that you are talking to with all the comments give him brainliest

Step-by-step explanation:

Option B is correct, the values of p and q in expression are -3 and 4.\

The given expression is x²+x-12.

This is expressed as (x+p)(x+q)

We have to find the values of p and q.

x²+x-12

Let us factorize the expression:

x²+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

When we compare this with (x+p)(x+q) we get:

p=-3 and q=4

Hence, the values of p and q in expression are -3 and 4.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ7