help please my tutor is being annoying and she finally left she said i have to finish before she comes back

Answer:

Step-by-step explanation:

(x-4)*x=21

x can be either 7 or -3

Answer: 6r^3 - 15r

Step-by-step explanation:

(3r) (2r^2 - 5)

Distribute.

6r^3 - 15r

Hope this helped.

Answer: D

Step-by-step explanation:

Hope it helps

Answer:

x=-3.5

Step-by-step explanation:

14/-4 = -3.5

Answer:

If you're asking how -4x could equal 14, here's how:

Substitute -3.4 for x, so -4x-3.5, which would equal 14.

Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

a=8 b=3/2

Step-by-step explanation:

so here a is the initial value which 8

then we can plug in 2 for x and 18 for f(x) to find b

f(x)=8*b^x

18=8*b^2

18/8=b^2

9/4=b^2

b^2=(3/2)^2

b=3/2

Given an ellipse with following parameters

The general formula of an ellipse is given as

The coordinate of the center is (h, k )

The vertices on x-axis is at (b, 0) and (-b , 0)

The vertices on y-axis is at (0, a) and (0, -a)

We can deduce from the parameters provided that

Thus the ellipse equation can be calculated as

Hence, the ellipse equation is

Answer:

23

Step-by-step explanation:

31+23=54

\(54-x=31\)

Simplify:

\(-x+54=31\)

Subtract 54 from both sides:

\(-x+54-54=31-54\)

\(-x=-23\)

Divide both sides by -1:

\(\dfrac{-x}{-1} =\dfrac{-23}{-1}\)

\(=\fbox{x = 23}\)

Answer: In point C.

Step-by-step explanation:

Plane ADB is the plane that contains the points A, D and B.

If you look in the image, you can see that point C also does belong to this plane.

Line EC is the line that connects the points E and C.

Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.

Answer:

Step-by-step explanation:

Since 1.2 is positive whereas all other are negative. So, the order will be:

1.2 > -1.6 > - 1.7 > -1.71

Therefore,

-8/5 = -1.6 …............ Number 3

-1.7 …............ Number 2

-30/-25 = 6/5 = 1.2 …............ Number 4

-1.71 .................. Number 1

Since 1.2 is positive whereas all other are negative.

So, the order will be:

1.2 > -1.6 > - 1.7 > -1.71

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Answer: 9x - 5y + z

Step-by-step explanation:

Problem N 4

we have the function

Interval (-2,2)

using a graphing tool

Local minimum value at (1,-1)

Local maximum value at (0.37,-0.65)

Intervals (-1.37,0.37) U (1, infinite)

Intervals (-infinite, -1.37) U (0.37,1)

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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Answer:

2/11

Reasoning, there are 36 possible (and equally likely) combinations that we can obtain from two dice. Of these 11 (1,5 2,5 3,5 4,5 5,5 6,5 5,6 5,4 5,3 5,2 5,1) would allow us to ‘know’ that “one dice (not necessarily the first) has shown a 5”. Of these 11 possibilities only two also contain a 4. So the probability is 2/11

Step-by-step explanation: have a good day

Answer:

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Step-by-step explanation:

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The amount Beth would be able to withdraw quarterly from her inheritance over the next 20 years is Quarterly Payments ≈ $11,124.53

The given parameters in the question;

Present value of inheritance, PV = $500,000

The number of years of withdrawal, n = 20 years

Interest rate, i = 6.4%

The required parameter;

The amount Beth would be able to withdraw quarterly over the next 20 years to draw the account down to zero, given a quarterly interest rate of 6.4%

Method

The required parameter is given by the payment formula

The question is related with annuity given that withdrawals will be made quarterly

The question seeks to find how much she can withdraw so as to exhaust the balance in 20 years

The amount she can withdraw quarterly is given by the payment formula as follows;

\(\mathbf{PMT = PV \times \dfrac{i}{1 - \left(1 + i\right)^{-n}}}\)

Where;

PMT = The amount of quarterly payments

PV = The present value of the investment = $500,000

i = The interest rate = 6.4%

n = The number of years = 20 years

Therefore, we get;

\(\mathbf{PMT = 500,000 \times \dfrac{\dfrac{0.064}{4} }{1 - \left(1 + \dfrac{0.064}{4} \right)^{-4 \times 20}} \approx 11,124.53}\)

The amount she can withdraw quarterly for the next 20 years ≈ $11,124.53

Quarterly payment, PMT = $11,124.53

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The number of pennies weighing as much s earth is  193 × 10²⁴

Index forms are described as described as those forms that are used to represent numbers that are too large or small in more proper ways.

Other names for index forms are scientific notation and standard forms.

Ratio is described as the comparison of numbers or variables on the basis of their size.

It shows how many times one number contains another.

From the information given, we have that;

The earth weighs = 5. 972 × 10 ²⁴ kilograms

The penny weighs = 3.1 × 10 ⁻³ kilograms

Divide the values

= 5. 972 × 10 ²⁴/3.1 × 10 ⁻³

= 1.93 × 10 ²⁶

= 193 × 10²⁴

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Answer:

frfe

Step-by-step explanation:

Answer:

NOOPPPPEEEE

Step-by-step explanation:

Answer:

x+y = -6

Step-by-step explanation:

Equation of the line is (y-y1) = m (x-x1)

(x1,y1) = (1,-7) and m= -1

(y-(-7)) = (-1) (x-1)

y+7 = -x+1

x+y = 1-7

x+y = -6

The Expanded form of 3×1=3 is 3

The Expanded form of 250 is 200+50+0

Expanded form is nothing more than a method for rewriting a number such that the digit values are included. A place value exists for each number. It calculates that digit's value based on where it is in the number. As we move from left to right in a number, a digit's value rises. In comparison to the digits on the right, the ones on the left have a lower place value. The position of the number is used to calculate each number's value. We can comprehend the place value notations if we read them from right to left.

250=200(hundreds place)+50(tens place)+0(ones place)

Therefore, the Expanded form of 250 is 200+50+0.

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Answer:

6

Step-by-step explanation:

the constant is the y-intercept

Answer:

Step-by-step explanation:

75 = 3 x 25 = 3 x 5²

32 = 2 x 16 = 2 x 4²

68 = 4 x 17 = 2² x 17

So

the largest perfect square number that is a factor of 75 is 25

the largest perfect square number that is a factor of 32 is 16

the largest perfect square number that is a factor of 68 is 4

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

option 3

Step-by-step explanation:

hope it helps!!!!!

Answer:

Each line is 1/8 as you can see the fouth line is 4/8 in both x and y

P is 5 lines to the left and 3 lines.

If each line is 1/8:

In the x: -5/8

In the yy: 3/8

P=(-5/8,3//8)