Which type of motion is this an example of?

150 m/sec

1.acceleration
2.velocity
3.speed

Answer:

She likely need to consider additional investment options for her retirement goal.

Step-by-step explanation:

Nick my luts

Answer:

1234567890

Step-by-step explanation:

Answer:

1234567890

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Vertex of function f(x)

From inspection of the graph, the vertex of f(x) is (2, 1)

Vertex of function g(x)

Given:  [tex]g(x)=2x^2-8x+1[/tex]

Standard form of a parabola is [tex]y=ax^2+bx+c[/tex]

Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)

To convert from standard to vertex form, complete the square.

Set the equation to zero:

[tex]\implies 2x^2-8x+1=0[/tex]

Add 7 to both sides:

[tex]\implies 2x^2-8x+8=7[/tex]

Factor out common term 2 on left side:

[tex]\implies 2(x^2-4x+4)=7[/tex]

Factor expression inside brackets:

[tex]\implies 2(x-2)^2=7[/tex]

Subtract 7 from both sides:

[tex]\implies 2(x-2)^2-7=0[/tex]

Therefore:

[tex]g(x)=2(x-2)^2-7[/tex]

So the vertex of g(x) is (2, -7)

Solution

y-value of the vertex of f(x) = 1

y-value of the vertex of g(x) = -7

y-value of vertex of f(x) subtracted from the y-value of the vertex of g(x):

-7 - 1 = -8

Answer:

6 weeks

Step-by-step explanation:

Let x represent the weeks

[tex]25=10+ (10x-7.5x = 2.5)[/tex]

[tex]25-10=2.5x = 15[/tex]

[tex]\frac{15}{2.5}=x \\(150/25)\\x=6[/tex]

Carol and Cathy will have same saved amount after 6 weeks.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

It is given that Carol started with $25 and saved per week an amount of $7.50 whereas Cathy started with $10 and saved per week amount of $10.

Let's assume that after x no. of weeks they will have same saved amount.

So , we can write an algebraic expression which is :

25 + (7.5 × x) = 10 + (10 × x)

Now , reordering the like terms we get :

10x - 7.5 x = 25 - 10

Simplifying this we get :

2.5 x = 15

or

x = 15 ÷2.5

or

x = 6 weeks

Therefore , Carol and Cathy will have same saved amount after 6 weeks.

Learn more about algebraic expressions here :

brainly.com/question/27882730

#SPJ5

Answer:

Notebooks= 8.75

computer bags=74.95

Amount with tax = Approximately 89.559

Answer:

74

Step-by-step explanation:

Answer:   answer is 19 !!

Step-by-step explanation:

Answer:

x=2.5

Step-by-step explanation:

5x<12          1. /5 on both sides

x= 2.5    

Answer:

x<2.4

Step-by-step explanation:

5x < 12

x < 12/5

x < 2.4

On the number line, draw an arrow going towards left from 2.4, with an open circle at 2.4

Answer:

You have 12 quarters and 30 dimes.

Step-by-step explanation:

If you have an equation that says 10d+25q= 600 cents (d meaning dime and q meaning quarter) and have another equation that says d+w=42, then you could use those two equations to solve the problem.

Hope this helps a little bit. It is a little hard to explain but let me know if you need some more help.

Answer:

Three arithmetic means between -16 and 4 are : 20 , 10 and  [tex]\frac{20}{3}[/tex]

Step-by-step explanation:

we have to find out three arithmetic means between -16 and 4

-16 , ____  , ____ , ____ 4

so , lets take the mean like this ,

-16 ,  -16+d , -16+2d ,-16+3d , 4

First mean -: -16 +d = 4

                   d= 4+16

                   d = 20

second mean -: -16 +2d = 4

                            2d=  4+16 = 20

                             d= [tex]\frac{20}{2}[/tex]

                             d= 10

third mean -: -16+3d = 4

                         3d = 20

                          d=[tex]\frac{20}{3}[/tex]

Therefore , all the three arithmetic means between -16 ad 4 are 10 , 20 and  [tex]\frac{20}{3}[/tex] .

Answer:

Sin theta= a/c

= 5/7.8

= 0.64

= 1

Step-by-step explanation:

Lets find the hypotenuse first by applying Pythagorean theorem.

a^2+b^2=c^2

(6)^2+(5)^2=c^2

36+25=c^2

61=c^2 (FIND SQUARE ROOT)

7.8=c

Sin theta= a/c

= 5/7.8

= 0.64

= 1

Cos theta= b/c

= 6/7.8

Tan theta= a/b

= 5/6

Answer:

letter C

Step-by-step explanation:

hope its help

Answer:

x=0

Step-by-step explanation:

2(4x+3)-12=3x-6

distribute

8x+6-12=3x-6

8x-6=3x-6

8x-3x=-6+6

5x=0

x=0

Answer:

Step-by-step explanation:

Two possible equations, depending on how you read the question.

1. Is there a shipping and handling per disc?

If so:

[tex]C = 13n + 1.95n[/tex]

2. Shipping and handling is only charged once?

If so:

[tex]C=13n+1.95[/tex]

Answer:

32 black grapes

Step-by-step explanation:

the 3 part of the ratio represents 24 green grapes , then

24 ÷ 3 = 8 ← value of 1 part of the ratio, then

black grapes = 4 × 8 = 32

Answer:

1/x^7*x^4 or 1/x*x*x*x*x*x*x*x*x*x*x

Step-by-step explanation:

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful  no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

Answer:

Step-by-step explanation:

3x^2 + 8x - 16 - SOMETHING = x^2 - 4

Re-arranging left and right:

SOMETHING = 3x^2 + 8x - 16 - x^2 + 4

= (3x^2 - x^2) + 8x - 16 + 4

= 2x^2 + 8x - 12

Answer:

Original expression:  [tex]3x^2+8x-16[/tex]

Let [tex]a[/tex] be the quantity Amir subtracted from the original expression.

Expression after subtraction: [tex]x^2-4[/tex]

[tex]\implies (3x^2+8x-16)-a=x^2-4[/tex]

Solve for [tex]a[/tex]:

[tex]\implies 3x^2+8x-16-a=x^2-4[/tex]

Add 4 to both sides:

[tex]\implies 3x^2+8x-12-a=x^2[/tex]

Subtract [tex]x^2[/tex] from both sides:

[tex]\implies 2x^2+8x-12-a=0[/tex]

Add [tex]a[/tex] to both sides:

[tex]\implies 2x^2+8x-12=a[/tex]

Therefore, Amir subtracted [tex]2x^2+8x-12[/tex] from the original expression.

Answer:

5xy/27

Step-by-step explanation:

The product of the two numbers x and y = xy

Five times the product of the two numbers x and y = 5xy

then,

divided by a third number 27 = 5xy/27

The expression will be : 5xy/27

Answer:

13

Step-by-step explanation:

2 hours = 4 inches

2/2 equals 1 hour

4/2 equals 2 inches

2 inches of snow per hour

6.5*2 is 13

you should expect 13 inches of snow in 6.5 hours

Answer:

Step-by-step explanation:

?

Answer:

   a = 0 makes the equation a linear equation, not quadratic

Step-by-step explanation:

A polynomial expression is quadratic if and only if its highest degree is 2. If the coefficient of the squared term is zero, then the polynomial does not contain a term of degree 2, so is not a quadratic. The coefficient of the squared term must be non-zero.

Answer:

y = -6/5x + 4

Step-by-step explanation:

Answer:

3.349

Step-by-step explanation:

Answer:

Step-by-step explanation:

i honesty dont know if so i would help

Answer:

the 2nd and last options

Step-by-step explanation:

Answer:

B and F

Step-by-step explanation: