if f(x)=2x^2+3 and g(x)=x2-7,find (f-g)(x)
A.x^2-4
B.3x^2-4
C.3x^2-10
D.x^2+10

the slope is 0 over 1 and the y-intercept is 3

B. The equation of this line is x = 3.

E. This graph is not a function because the value x = 3 is assigned to more than one y-value.

To solve this problem we will directly use the formula:

[tex]h=\frac{1}{2}gt^2[/tex]..........Equation 1

where symbols have their usual meanings.

Here g=32.2 ft/s^2 and h=108 feet

Therefore, from Equation 1 we will get:

[tex]t=\sqrt{\frac{2h}{g}}[/tex]....Equation 2

Plugging in the values in Equation 2 we get:

[tex]t=\sqrt{\frac{2\times 108}{32.2}}\approx 2.59[/tex] seconds.

Therefore, the amount of time it would have taken the rock to fall is 2.59 seconds.

Total cost

17.95 + 27.50 + 94.20 + 12.30 + 12.30 = 164.25

tax

164.25 * 5% = 8.21

164.25 * 1.5% = 2.47

164.25 * 2% = 3.28

sum of the tax

8.21 + 2.47 +3.28 =

13.96

your answer is C

Final answer:

To find the total tax on Edward Taylor's purchases, sum the cost of all items ($164.25), multiply by the combined tax rate of 8.5% to get the total tax in dollars ($13.96125), and round to the nearest cent, resulting in $13.96. So, option C is correct.

Explanation:

To determine the total amount of tax on Edward Taylor's purchases, we need to sum up the cost of all items purchased and then calculate the combined sales tax. Edward bought two shirts for $17.95 and $27.50, a jacket for $94.20, and two ties at $12.30 each. Here are the steps taken:

Calculate the sum of the purchases: $(17.95 + 27.50 + 94.20 + 12.30 + 12.30) = $164.25.

Combine the tax rates: (state tax at 5% + county tax at 1.5% + city tax at 2%) = 8.5% total.

Convert the tax rate to a decimal: 8.5% = 0.085.

Multiply the total cost of purchases by the tax rate: $164.25 * 0.085 = $13.96125.

Round the tax to the nearest cent: $13.96.

Therefore, the total amount of tax on his purchases is $13.96. So, option C is correct.

The median is 8 I beliwve because of the 12

x + 8y = 0

x - intercept when y = 0:

x + 8(0) = 0

x + 0 = 0

x = 0

y - intercept when x = 0:

0 + 8y = 0

8y = 0    |:8

y = 0

Answer:

The x-intercept is 0

The y-intercept is 0

OK first change 3 3/4 to an improper fraction and that will give you  15/4. so you got that part right.  Next, change the division sign to multiplication. then flip the 1/2 to 2/1.  Then multiply 15 times 2 and that will give you 30. Then multiply 4 times 1 and that will give you 4. then you will have an answer of  30/4. Finally, since you a have a big number over a small number you divide 30 by 4 and that will give you 7 1/2. So it turns out that your little cheat sheet is wrong because when you check your answer you should go on Math-way to check it. Also, a little background about me is that I am in 8th grade and I am taking algebra 1 too.

a line through the point (0, 6 )

to find a point on the line, choose any value of x , substitute into the equation and solve for y

x = 0 : 0 + 4y = 24 ( divide both sides by 4 )

y = [tex]\frac{24}{4}[/tex] = 6

hence line goes through (0, 6 )

The correct graph that represents the equation 2x + 4y = 24 is option A, which shows a line through the points (0, 6) and (12, 0).

The equation 2x + 4y = 24 can be rearranged to y = -0.5x + 6. This means that the equation represents a linear function with a slope of -0.5 and a y-intercept of 6.

Option A, which shows a line through the points (0, 6) and (12, 0), is the correct graph since it satisfies the equation. The slope is -0.5 and the y-intercept is 6.

https://brainly.com/question/14240165

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Just subtract 98.26 from 156.75. It equals $58.49.

you can use subtraction by doing 156.75 minus 98.26 when you do that the amount he still needs is 58.49

-44 should be your answer. If you were solving for absolute value and the 28 was positive you would have about 12.

Answer:

TRUE

Step-by-step explanation:

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h

                                            =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal

Hence, the statement that:The lateral surface area of cone A is equal to the lateral surface area of cylinder B. is:

True

X=5

Add all the Xs together, then get it alone and there’s your anwser

Hope it helps ❤️

[tex]-10x+2=-8x-8[/tex]                  Combine Like Terms

[tex]-2x+2=-8[/tex]                       Add [tex]-8x[/tex] on both sides

[tex]-2x=-10[/tex]                            Subtract [tex]2[/tex] on both side

[tex]x=5[/tex]                       Divide [tex]-2[/tex] to [tex]-10[/tex]

*(Answer)*= [tex]x=5[/tex]

10x = -80

Note the equal sign. What you do to one side, you do to the other.

Divide 10 from both sides

10x/10 = -80/10

x = -80/10

x = -8

-8 is your answer for x

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

~Rise Above the Ordinary, Senpai

answer: x = -8

work:

you're working to solve for x.

this means you want to isolate x, and get it alone.

to do so, divide both sides by 10 to get rid of the 10.

once you divide both sides by 10, x is on its own, and you have the solution to your equation, x = -8!

to check your work you can plug the value for x into the original equation and solve.

10(-8) = -80

-80 = -80

so we can verify this is in fact correct.

i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

Think of a cube with side lengths of 10.

The volume of the cube will be L*W*H = 10*10*10 = 1000

This volume of 1000 is what we consider a perfect cube.

Answer: yes

10*10*10=[tex]10^{3}[/tex]

10*10*10=1,000

1,000 is a perfect cube, because 10^3 is 1,000.

I hope this helps :)

zm= a+b/a, for a

Switch sides to have a on left side

a+b/a=zm

Now multiply both sides by a

A+b= zm(a)

A+b= ama

Now subtract azm both sides

A+b-azm=0

Subtract b both sides

A-azm= -b

Factor out a from ask

A(1 -zm)= -b

Divide each term by 1 - zm to get

A= - b/1-zm

Answer:

Option D is the correct answer.

Explanation:

 The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function.

We need to find f(x)

Checking each options.

a) f(x) = [tex]2^x[/tex]

    For (0,1)

              f(0) = [tex]2^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=2[/tex], given that f(1) = 5, so option A is wrong.

b) f(x) = [tex]3^x[/tex]

   For (0,1)

              f(0) = [tex]3^0=1[/tex]

    For (1,5)

              f(1) =  [tex]2^1=3[/tex], given that f(1) = 5, so option B is wrong.

c) f(x) = [tex]4^x[/tex]

   For (0,1)

              f(0) = [tex]4^0=1[/tex]

    For (1,5)

              f(1) =  [tex]4^1=4[/tex], given that f(1) = 5, so option C is wrong.

d) f(x) = [tex]5^x[/tex]

   For (0,1)

              f(0) = [tex]5^0=1[/tex]

    For (1,5)

              f(1) =  [tex]5^1=5[/tex]

   For (2,25)

               f(2) =  [tex]5^2=25[/tex]

  For (3,125)

               f(3) =  [tex]5^3=125[/tex]

 So all values are satisfied Option D is the correct answer.

1a. 6y - 2y = 4y

1b. 6 - 7b + 7b + 3 + b

= 6 + 3 + b

= 9 + b

2a. 10a - 2 + 3 - a

= (10a - a) + (-2 + 3)

= 9a + 1

2b. m · 7 · m · m · m · m · 9

= (7 · 9) · (m · m · m · m · m)

[tex]=63m^{5}[/tex]

3a.  3 + 8(5a + 10)

= 3 + 40a + 80

= 40a + 83

3b.  6v - 8v + 4 + 6v

= (6v - 8v + 6v) + 4

= 4v + 4

4a.  s · 1 · s · 3

= (1 · 3) · (s · s)

[tex]= 3s^{2}[/tex]

4b.  6k - 6k

= 0

5a.  [tex]10y^{4} (y^{2} )[/tex]

= [tex]=10y^{6}[/tex]

5b.  10x + 7 - 5x

= (10x - 5x) + 7

= 5x + 7

6a.  1v - v + 7 + 9v

= (1v - v + 9v) + 7

= 9v + 7

6b.  6z - 5 + 5 - 6z

= (6z - 6z) + (-5 + 5)

= 0 + 0 = 0

7a.  9w + 5w

= 14w

7b. s · 2s · s · s · s · s

= 2 · (s · s · s · s · s · s)

[tex]= 2s^{6}[/tex]

hello again

17-1/49 is your correct answer thank you and have a great day please mark me as brainliest if can

Answer:

Expression which represents “seventeen more than one-fourth y” is:

[tex]\dfrac{1}{4}y+17[/tex]

Step-by-step explanation:

We have to find a expression which represents

“seventeen more than one-fourth y”

one-fourth y= [tex]\dfrac{1}{4}y[/tex]

So, seventeen more than one-fourth y= [tex]\dfrac{1}{4}y+17[/tex]

Hence, expression which represents “seventeen more than one-fourth y” is:

[tex]\dfrac{1}{4}y+17[/tex]

The formula of a midpoint:

[tex]\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have

[tex]A(-2,\ 5),\ B(3,\ -3)[/tex]

Substitute:

[tex]\dfrac{-2+3}{2}=\dfrac{1}{2}=0.5\\\\\dfrac{5+(-3)}{2}=\dfrac{2}{2}=1[/tex]

Answer: (0.5, 1).

Answer:

The midpoint of AB is (0.5,1).

Step-by-step explanation:

From the given graph it is clear that the vertices of the triangle ABC are A(-2,5), B(3,-3) and C(-4,-1).

If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We need to find the midpoint of AB.

[tex]Midpoint=(\frac{-2+3}{2},\frac{5+(-3)}{2})[/tex]

[tex]Midpoint=(\frac{1}{2},\frac{5-3}{2})[/tex]

On further simplification we get

[tex]Midpoint=(\frac{1}{2},\frac{2}{2})[/tex]

[tex]Midpoint=(0.5,1)[/tex]

Therefore the midpoint of AB is (0.5,1).

Answer:

The value of f(-3) is 1.

Step-by-step explanation:

Given expression,

[tex]f(a)=-2a^2-5a+4----------(1)[/tex]

For finding the value of f(-3),

Put a = - 3 in equation (1),

We get,

[tex]f(-3)=-2(-3)^2-5(-3)+4[/tex]

[tex]=-2(9)+15+4[/tex]

[tex]=-18+19[/tex]

[tex]=1[/tex]

Hence, the value of f(-3) is 1 for the given function.

Subtract.

1 - 3/8 = 5/8

Answer:

$28 per pair is not a good estimate.

Step-by-step explanation:

Let x represent cost of each pair with tax.

We have been given that a case of 24 pairs of the same kind of sport shoes cost a little more than $800.

The cost of 24 pairs would be [tex]24x[/tex].

[tex]24x>800[/tex]

[tex]\frac{24x}{24}>\frac{800}{24}[/tex]

[tex]x>33.33[/tex]

Since the cost of each pair is greater than $33.33, therefore, $28 is not a good estimate.

the answer is 300 because 55+45=100   and 100*3 is 300

What is triple the sum of 45 and 55

First, add 45 and 55

45 + 55 = 100

Next, triple the sum. Multiply 3 with the number gotten

3(100) = 300

300 is your answer

hope this helps

~Rise Above the Ordinary

The factored form of [tex]\(18x^2 - 2\)[/tex] is [tex]\({2(3x - 1)(3x + 1)}\)[/tex].

To factor the expression [tex]\(18x^2 - 2\)[/tex] completely, we first notice that [tex](18x^2\))[/tex] and [tex]\(2\)[/tex] share a common factor of [tex]\(2\)[/tex]. We can factor out this common factor to simplify the expression:

[tex]\[18x^2 - 2 = 2(9x^2 - 1)\][/tex]

Now, we recognize that [tex]\(9x^2 - 1\)[/tex] is a difference of squares. It can be factored as [tex]\((3x)^2 - 1^2\)[/tex], which follows the pattern [tex]\((a^2 - b^2) = (a - b)(a + b)\)[/tex].

So, applying this pattern, we have:

[tex]\[9x^2 - 1 = (3x)^2 - 1^2 = (3x - 1)(3x + 1)\][/tex]

Therefore, the expression \(18x^2 - 2\) factors completely as:

[tex]\[18x^2 - 2 = 2(9x^2 - 1) = 2(3x - 1)(3x + 1)\][/tex]

Answer:

B) Isosceles

Step-by-step explanation:

The given triangle has vertices at A(-1,2), B(4,2) and C(3,-1).

We must first determine the length of the sides of the triangle, before we can classify it.

We apply the distance formula to find length of the sides.

[tex]|AB|=\sqrt{(4--1)^2+(2-2)^2}[/tex]

[tex]\Rightarrow |AB|=\sqrt{(4+1)^2+(2-2)^2}[/tex]

[tex]\Rightarrow |AB|=\sqrt{5^2+(0)^2}[/tex]

[tex]\Rightarrow |AB|=\sqrt{25}[/tex]

[tex]\Rightarrow |AB|=5 units[/tex].

The length of side BC

[tex]|BC|=\sqrt{(3-4)^2+(-1-2)^2}[/tex]

[tex]\Rightarrow |BC|=\sqrt{(-1)^2+(-3)^2}[/tex]

[tex]\Rightarrow |BC|=\sqrt{1+9}[/tex]

[tex]\Rightarrow |BC|=\sqrt{10}[/tex]

The length of side AC

[tex]|AC|=\sqrt{(3--1)^2+(-1-2)^2}[/tex]

We simplify to obtain;

[tex]|AC|=\sqrt{(3+1)^2+(-3)^2}[/tex]

[tex]\Rightarrow |AC|=\sqrt{(4)^2+(-3)^2}[/tex]

[tex]|AC|=\sqrt{16+9}[/tex]

[tex]|AC|=\sqrt{25}[/tex]

[tex]|AC|=5\:units[/tex]

Since [tex]|AC|=5\:units=|AB|[/tex], the given triangle is an isosceles triangle.

The correct answer is

Answer:

B) isosceles

Step-by-step explanation:

The two equations are vertical angles, which mean they are equal.

Set each equation to equal each other and solve for x.

3x-3 = 6(x-10)

Simplify the right side:

3x-3 = 6x-60

Subtract 3x from each side:

-3 = 3x - 60

Add 60 to each side:

57 = 3x

Divide both sides by 3:

x = 57 / 3

x = 19

i think the answer might be 3

The answer is  3. Have a great day!