If ƒ( x )= 2 x 2 + 3, then ƒ( x - 1)= 2 x 2 + 4 x + 5.

True or False

a. 21, b. 26, c. 18, d. 28

Answer:  The required answers are :

(a) 21,   (b) 26,   (c) 18   and   (d) 37.

Step-by-step explanation:  We are given to solve the following problems with parentheses solved first.

(a). The given problem is

[tex]4+(5+12).[/tex]

We have

[tex]4+(5+12)=4+17=21.[/tex]

(b) The given problem is

[tex](3+6)+17.[/tex]

We have

[tex](3+6)+17=9+17=26.[/tex]

(c) The given problem is

[tex]4+(5+12).[/tex]

We have

[tex](3+4)+(5+6)=7+11=18.[/tex]

(d) The given problem is

[tex]9+(11+7)+10.[/tex]

We have

[tex]9+(11+7)+10=9+18+10=9+28=37.[/tex]  

Thus, the required answers are :

(a) 21,   (b) 26,   (c) 18   and   (d) 37.

Hey there!!

Given equation :

... 4x +3(x+2) = 5(2x-3)

Using the distributive property :

... 4x + 3(x) + 3 (2) = 5(2x) + 5(-3)

... 4x + 3x + 6 = 10x - 15

Combining the like terms :

... 7x + 6 = 10x - 15

Subtracting 7x on both sides :

... 6 = 3x - 15

Adding 15 on both sides :

... 21 = 3x

Dividing by 3 on both sides :

... x = 7

This is the solved equation. The first step we have done to solve the equation was using the distributive property.

Hope my answer helps!

Answer:

If you buy the paint set and the 6 canvases its B if you just buy the cancases itd D

Step-by-step explanation:

Answer:

Total Amount Spent = $162.00

Step-by-step explanation:

Given

Items: Watercolor paints and Canvases

Cost of watercolor paint = $15

Cost of each canvases= $24.50

Quantity of Watercolor paint = 1

Quantity of each canvases = 6

Required

Total Amount Spent

To get the total amount spent, we first calculate the amount spent on each item.

Amount Spent on Watercolor

Cost of watercolor paint = $15

Quantity of Watercolor paint = 1

Amount = Cost * Quantity

Amount = $15 * 1

Amount = $15

Amount Spent on canvases

Cost of each canvases = $24.50

Quantity of canvases = 6

Amount = Cost * Quantity

Amount = $24.50 * 6

Amount = $147.00

Total Amount Spent = Amount Spent on Water Color + Amount Spent on Canvases

Total Amount Spent = $15 + $147.00

Total Amount Spent = $162.00

Hello  AskMeBosh

Since we know that there are 3 friends, and 63.90 dollars would be sent, we would divide by 3

63.90/3

= 21.3

Their check for each will be 21.3 dollars

:)

The split of the dinner each has to spend 21.30.

Thus, each person has to pay 21.30.

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-5(-1.2) = 6

Hope this helps you

-AaronWiseIsBae

After paying for the flat rate, she has 10-3.25=6.75 left.

With 6.75 she can go for 6.75/0.75 = 9 miles

Note: solving by reasoning is often faster than mechanically forming an equation.

Final answer:

To find the maximum number of miles Ashley can travel with $10, subtract the flat rate of $3.25 from $10, leaving $6.75, which is then divided by the per mile rate of $0.75 to result in 9 miles.

Explanation:

To calculate the maximum number of miles Ashley can travel with $10 using the cab service that charges a flat rate plus a per mile fee, you first subtract the flat rate from the total amount Ashley has. Then, divide the remaining amount by the per mile charge to find the number of miles she can afford.

Step-by-step Calculation

Subtract the flat rate ($3.25) from Ashley's total amount ($10): $10 - $3.25 = $6.75.

The coordinates of the fourth vertex of the rectangular blanket, given the vertices (-2.6, -3.4), (-2.6, 1.3), and (1.6, 1.3), are (1.6, -3.4).

From the given coordinates of the three vertices of the rectangle, we can find that the width of the rectangle is calculated from the difference in the x-coordinates of (-2.6, 1.3) and (1.6, 1.3), which is 4.2 units (1.6 - (-2.6)). Similarly, the length of the rectangle is calculated from the difference in the y-coordinates of (-2.6, -3.4) and (-2.6, 1.3), which is 4.7 units (1.3 - (-3.4)).

To find the fourth vertex, we take the x-coordinate of the bottom left vertex (-2.6, -3.4) and add the width (4.2) to get 1.6. We then take the y-coordinate of the bottom left vertex (-2.6, -3.4) and keep it the same for the fourth vertex. So the coordinates of the fourth vertex are (1.6, -3.4).

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Answer:

D. The total amount of sales

Step-by-step explanation:

We have been given that a jewelry sales person earns a base salary of $200 a week plus 25% of all of her sales over $300.

This situation has been represented using the expression 200 + .25( x - 300)

Here 200 is the base salary. 0.25 corresponds to 25%. The factor (x-300) corresponds to the amount of sales over 300 dollars. This implies that x represents the total sales.

Therefore, x represents the total amount of sales. Hence, option (D) is the correct answer.

our lines of symmetry is made limited by the presence of the pentagon. If we slice the pentagon into two, the only line of symmetry we could create would be the line intersecting O and the median of LM. Other lines would not create a symmetrical half.

Therefore the line of reflection is only 1.

questioned answered by

(jacemorris04)

6.B Im not sure about this one

7. D

Answer:

3) C)

7) D)

Explanation for question 2)

Step 1:

4^3 = 64

4^4 = 256

4^9 = 262144

Step 2:

64 * 256 = 16,384

16,384/262,144 = 0.0625

Step 3:

0.0625 as a fraction, 1/16

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

Now, we see there is no option as, 1/16

But, however there is 1/4^2 = 1/16

Because, 4^2 = 16

Therefore, 1/16

Explanation for answer 7)

It's pretty simple, your just looking for an answer that also combines like terms.

Hope this helps :-)

P.S: Sorry I took so long

bisector cuts it into two equal sections.  

2x + y = 14 + y

      2x = 14        subtracted y from both sides

        x  = 7         divided both sides by 2

Answer: 7

Answer:

Miranda has to put $13,661 in the bank.

Step-by-step explanation:

Miranda wants to give her 14-years old daughter $20,000 when she turns 18

Miranda has 4 years to make $20,000

Rate of interest = 10% per year

Let initial deposit be $x

Final amount (A) = $20,000

Time (t) = 4 years

Rate (r) = 0.10

Formula:

[tex]A=P(1+r)^n[/tex]

Substitute the values into formula

[tex]20000\geq x(1+0.1)^4[/tex]

Now we solve for x

[tex]x\geq \dfrac{20000}{1.1^4}=13660.27\approx 13661[/tex]

Hence, Miranda has to put $13,661 in the bank.

Answer:

6 per hour

Step-by-step explanation:you would divide 15 by 2 and 1/2

Part A:

The number of plants Nestor will pot in 1 hour is:

                     6 plants.

Part B:

The number of plants that he will be able to pot in 3 1/2 hour is:

                        21 plants.

Part A:

It is given that:

Nestor takes 2 1/2 hours to pot 15 plants.

i.e.

It takes him 5/2 hours to pot 15 plants.

Hence, In 1 hour he will pot:

[tex]\dfrac{15}{\dfrac{5}{2}}\ \text{plants}\\\\=\dfrac{15\times 2}{5}\ \text{plants}\\\\=6\ \text{plants}[/tex]

Part B:

Also, if he continues to work at the same rate then the number of plants he will pot in 3 1/2 hour is:

( We know that:

[tex]3\dfrac{1}{2}=\dfrac{3\times 2+1}{2}\\\\i.e.\\\\3\dfrac{1}{2}=\dfrac{7}{2}\ \text{hour}[/tex] )

Hence, the number of plants that will be potted in 7/2 hours is:

[tex]=6\times \dfrac{7}{2}\\\\=21\ \text{plants}[/tex]

Matt could do one of the following arrangements;

2 rows of 8 CDs

4 rows of 4 CDs

       8 x 2 = 16

      4 x 4 = 16

Hence,

Therefore, the number of ways can he arrange the CDs so they are in equal rows is 2 ways

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10% of 113.03 is 11.30300

just subtract that from 113.03

which is 101.727 or round it up to 101.73

The slope is the change in Y over the change in X

Using the 2 points shown on the line (-4,3) and (3,1)

The change in Y is 1-3 = -2

The change in X is 3 - (-4) = 3+4 = 7

The slope = -2/7

The answer is B.

Is there more to this question? The only math question I can think of that would go with this is for us to tell what a half dozen is equal to. If that is the case, the answer is 6.

3.2=-3.2

2.3=-2.3

1.5=-1.5

5.1=-5.1

x< 0.7 if i'm correct

THE ANSWER IS Angle of rotation is changed if an image is moved about a central point.

If we divide 55 (the total amount of money he made) by 5 (price to walk one small dog), we get 11. Meaning that the maximum amount of small dogs he could possibly walk and receive that amount of money is 11. However, he only walked 8 dogs. Therefore Ryan would have needed to walk a specific amount of large dogs in order to earn 55 dollars in total.

After doing some process of elimination, I reached this conclusion:

3 small dogs = $15

5 large dogs = $40

The combination of the two would equal $55.

Therefore, the answer would be 3 small dogs.

.98 is the greatest because it is closest to 1 out of the decimals

The amount that will be financed: $9500

The total amount of the monthly payments: $10,800

The amount of the finance charge: $1,300

Remember that the down payment is the initial amount you paid to reduce the amount you finance.

Given that, the amount that Jim will finance will be the price of the bath in cash minus the down payment:

Amount that will be financed = $12,000 - $2,500 = $9500

Next, to find the total amount of the monthly payments, we just need to multiply the monthly payment by the total number of monthly payments:

Total amount of the monthly payments = $450.00*24 = $10,800

Finally, to find the financial amount, we just need to subtract the financed amount from the total amount of the monthly payments:

Amount of the finance charge = $10,800 - $9500 = $1,300

Let ABC be the triangle where A is at (0, a), B is at (0, 0) and C is at (a, 0).

Note that BA = BC = a, as ABC is isosceles.

Also, ∠B = 90°

After a dilation with a scale factor of 1.8 with the origin as the center of dilation, length BA will be increased to 1.8 times and will become B'A'.

So, point A will be moved to (0, 1.8a).

Similarly, point C will be moved to (1.8a, 0).

Now, slope of A'C' = [tex]\frac{0-1.8a}{1.8a-0}[/tex]

= - 1.

Hence, the dilation preserves the slope of the hypotenuse.

Answer:

-1

Step-by-step explanation:

Answer:

The answer is mean or  median both are 4

Step-by-step explanation:the answer is the  D

The measure of central tendency that is most appropriate for this situation is (d) either the mean or median; both are 4

The dataset is given as:

6,2, 5,3, 4

Calculate the mean using:

Mean = Sum/Count

So, we have:

Mean = (6 + 2 +5 + 3 + 4)/5

Evaluate

Mean = 4

Sort the data elements

2, 3, 4, 5, 6

The middle element is 4.

So, we have:

Median = 4

Hence, the measure of central tendency is most appropriate for this situation is (d) either the mean or median; both are 4

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Answer:

The images of PQR are P'=(8 , -6) , Q' = (8,6) and R' = (14 , -6)

Step-by-step explanation:

From the given graph:

the coordinates of PQR i.e,    

P= (4, -3) , Q= (4,3) , R= (7,-3)

Given: the scale factor of 2 and center of dilation at origin i.e (0,0)

The mapping rule for the  dilation applied to the triangle as shown below:

[tex](x, y) \rightarrow ( kx, ky)[/tex] where k represents the scale factor i.e, k=2 or we can write it as ;

[tex](x, y) \rightarrow (2x, 2y)[/tex]

For P = (4, -3)

The image P' = [tex](2\cdot 4 , 2\cdot (-3))[/tex]

⇒ P'= [tex](8, -6)[/tex]

Similarly for Q = (4, 3) and R = (7 , -3)

the image of Q' = [tex](2\cdot 4 , 2\cdot (3)) = (8 , 6)[/tex]

The image of R' = [tex](2\cdot 7 , 2\cdot (-3)) = (14 , -6)[/tex]

Now, plot the graph of PQR as shown in the attachment:

The images of the vertices of PQR are P' (8, -6), Q' (8, 6), and R' (14, -6).

A graph that shows triangle PQR and the image triangle P'Q'R is shown in the picture below.

In Mathematics and Geometry, a dilation is a type of transformation which typically changes the size (dimensions) of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image (triangle PQR) by applying a scale factor of 2 that is centered at the origin (0, 0) in order to produce the coordinates of its image as follows:

Vertices P (4, -3) → (4 × 2, -3 × 2) = P' (8, -6).

Vertices Q (4, 3) → (4 × 2, 3 × 2) = Q' (8, 6).

Vertices R (7, -3) → (7 × 2, -3 × 2) = R' (14, -6).

In concluson, we can logically deduce that the dilation is an enlargement because the size of the pre-image is smaller than the image.

Hello!

[tex]\frac{n}{6}=5.5[/tex]

First you had to multiply by 6 from both sides.

[tex]\frac{6n}{6}=5.5*6[/tex]

Then you simplify by the answer is correct.

[tex]n=33[/tex]

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Answer:40 degrees

Step-by-step explanation:

Step 1. Factor out common terms in the first two terms, then in the last two terms.

2x^2(x - 5) -5(x - 5)

Step 2. Factor out the common term x - 5

(x - 5)(2x^2 - 5)