Nita needs at least $85 to buy a skateboard. She already has $61 Which graph best represents all the possible dollar amounts that it can save to buy a
Skateboard?

Step-by-step explanation:

the curves intersect at approcx=0.46

Answer:

Step-by-step explanation:

The given function is

[tex]log(6x+10)=log_{\frac{1}{2} }x[/tex]

If we graph this function, the result is like the image attached. There you can observe that the intersection point is at (0.464, 1.107).

If we round this points to the nearest hundred, they would be

x = 0.46 and y = 1.11.

Therefore, the right answer is

a. the curves intersect at approx. x=0.46

Answer:

False

Step-by-step explanation:

If both lines are linear, they can only have 0, 1 or infinite solutions. If one was a quadratic function, they would intercept twice.

Answer:

5/6

Step-by-step explanation:

The ratio is:

45 / 54

Or, reduced:

5 / 6

The ratio of boys to girls in the senior class of the school is 45:54.

The question is asking to find the ratio of boys to girls in a senior class. Since the class has 45 boys and 54 girls, the ratio is typically written in the simplest form as 'boys: girls'. The given figures are in simplest form because they do not have a common factor other than 1. Therefore, the ratio of boys to girls in the senior class is 45:54.

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Answer:

the answer is C.5

Step-by-step explanation:

Answer:

139 and 59, respectively

Step-by-step explanation:

By definition, supplementary means that the angles all add up to equal 180 degrees.  Therefore, 180 - 41 = 139.

By definition, complementary means that the angles all add up to equal 90 degrees.  Therefore, 90 - 31 = 59.

Slope equation: y2-y1/x2-x1

7-9/-12-(-10)

-2/-2 = 1

Answer:

Slope = 1

Step-by-step explanation:

(y2 - y1) ÷ (x2 - x1) = (7 - 9) ÷ (-12 - [-10]) = -2 ÷ (-2) = 1

20.00 + 4.00 + 00.50 + 00.08

To write expanded from take each number from left to right and turn all the numbers that are after it into zeros (if there is a decimal then turn the numbers  before it into zeros as well)

2 has 4 numbers after it so it gets 4 zeros: 20.00

4  has 2 numbers after it so it gets 2 zeros: 4.00

5 is a decimal that has two numbers before it and one after, so before the decimal there are two zeros, then after the decimal comes the five, then there is one number after the 5 so one zero after the five.

8 is a decimal that has three numbers before it , so before the decimal there are two zeros, then after the decimal is a number that becomes zero then the 8

Hopefully that made sense to you and was helpful! Let me know!

Answer:

The solutions are

[tex]x=-8\\x=-1[/tex]

Step-by-step explanation:

We must solve the equation:

[tex]x^2+9x+8=0[/tex]

To solve the equation we can use the factoring method.

To factor the expression, look for two numbers that when you add them, get the result 9 and when multiply them, get the result 8.

You can verify that the numbers that meet this requirement are: 8 and 1.

Then the polynomial factors are:

[tex](x + 8) (x + 1)[/tex]

So

[tex]x^2+9x+8=(x + 8) (x + 1) = 0[/tex]

Then

[tex]x+8= 0[/tex]   or  [tex]x+1 =0[/tex]

[tex]x=-8[/tex] or  [tex]x= -1[/tex]

Answer:

x = -1 or x = -8

Step-by-step explanation:

It is given the function

x² + 9x + 8 = 0

To find the solution of given function

x² + 9x + 8 = 0

By using splitting method we can write,

x² + x + 8x + 8 = 0

x(x + 1) + 8 (x + 1) = 0

(x + 1)(x + 8) = 0

x+ 1 = 0   or x + 8 = 0

x = -1 or x = -8

The answer is B.

For an expression to be a polynomial term, any variables in the expression must have whole number powers.

-3/x isn’t a polynomial term because the variable is in the denominator.

Answer:

D

Step-by-step explanation:

it only consists of one term.

Check the picture below.

so we have 3 rectangles and 1 semicircle.

let's recall that the area of a circle = A = πr², so then the area of a semi-circle is πr²/2.

let's get the area of all figures, sum them up, and that's the area of the composite.

[tex]\bf \stackrel{\textit{top rectangle}}{(2\cdot 5)}+\stackrel{\textit{middle rectangle}}{(4\cdot 11)}+\stackrel{\textit{bottom rectangle}}{(9\cdot 2)}+\stackrel{\textit{semicircle}}{\cfrac{25\pi }{2}} \\\\\\ 10+44+18+12.5\pi \implies 72+12.5\pi \qquad \approx\qquad 111.27[/tex]

Answer:

[tex]\large\boxed{a=\dfrac{58}{25},\ b=0}[/tex]

Step-by-step explanation:

[tex]\dfrac{3\sqrt3+\sqrt2}{3\sqrt3-\sqrt2}+\dfrac{3\sqrt3-\sqrt2}{3\sqrt3+\sqrt2}\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\dfrac{(3\sqrt3+\sqrt2)(3\sqrt3+\sqrt2)}{(3\sqrt3-\sqrt2)(3\sqrt3+\sqrt2)}+\dfrac{(3\sqrt3-\sqrt2)(3\sqrt3-\sqrt2)}{(3\sqrt3+\sqrt2)(3\sqrt3-\sqrt2)}\\\\=\dfrac{(3\sqrt3+\sqrt2)^2}{(3\sqrt3)^2-(\sqrt2)^2}+\dfrac{(3\sqrt3-\sqrt2)^2}{(3\sqrt3)^2-(\sqrt2)^2}\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2[/tex]

[tex]=\dfrac{(3\sqrt3)^2+2(3\sqrt3)(\sqrt2)+(\sqrt2)^2}{3^2(\sqrt3)^2-2}+\dfrac{(3\sqrt3)^2-2(3\sqrt3)(\sqrt2)+(\sqrt2)^2}{3^2(\sqrt3)^2-2}\\\\=\dfrac{3^2(\sqrt3)^2+6\sqrt6+2}{9\cdot3-2}+\dfrac{3^2(\sqrt3)^2-6\sqrt6+2}{9\cdot3-2}\\\\=\dfrac{9\cdot3+6\sqrt6+2}{27-2}+\dfrac{9\cdot3-6\sqrt6+2}{27-2}\\\\=\dfrac{27+6\sqrt6+2}{25}+\dfrac{27-6\sqrt6+2}{25}\\\\=\dfrac{29+6\sqrt6}{25}+\dfrac{29-6\sqrt6}{25}\\\\=\dfrac{29+6\sqrt6+29-6\sqrt6}{25}\\\\=\dfrac{58}{25}[/tex]

Answer:

40

Step-by-step explanation:

The range is the difference between the largest value and the smallest value in the data set.

minimum value = 21 and maximum value = 61

range = 61 - 21 = 40

Answer: Range of the data set would be 40.

Step-by-step explanation:

Since we have given the data set as follows:

21,23,28,28,52,54,56,56,57,60,61,61.

We need to find the range of the data set.

As we know the formula for "Range":

Range = Highest number - Lowest number

Range = 61-21

Range = 40

Hence, range of the data set would be 40.

Answer:

x=13

Step-by-step explanation:

x+2x=3x

-6+9+-19=-16

3x-16=23

+16     +16

3x=39

divide by 3 on both sides.

x=13

Answer: Hope this helps, and hopefully this is what you needed!

1 7/16 = 23/16

11 5/9 = 104/9

30 5/9 = 275/9

10 10/13 = 140/13

24 3/5 = 123/5

129 1/2 = 259/2

Step-by-step explanation:

Answer:

A. 0.7

Explanation:

B is irrational

I have no idea was c and d so that leads to A because it’s terminated

Answer:0.7

Step-by-step explanation:

A pex quiz

Answer:

centre = (2, 4)

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² - 4x - 8y - 5 = 0

Rearrange the x/y terms together and add 5 to both sides

x² - 4x + y² - 8y = 5

Use the method of completing the square on both the x/y terms

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16

(x - 2)² + (y - 4)² = 25 ← in standard form

with centre (2, 4) and r = [tex]\sqrt{25}[/tex] = 5

Answer:

Mean: 7.1, median: 7, mode: 4

Step-by-step explanation:

The mean, also known as the average, is equal to the sum of all the numbers divided by how many numbers there are.

4 + 8 + 11 + 6 + 4 + 5 + 9 + 10 + 10 + 4 = 71

10 numbers

71/10 = 7.1

The median is the number in the middle of the set.

4, 4, 4, 5, 6, 8, 9, 10 ,10 ,11

6 and 8 are in the middle, and the number between 6 and 8 is 7.

The mode of a set of numbers is the most common number. In this case, the number is 4 as it appears 3 times.

Answer:

Step-by-step explanation:

tan α=9÷(21/2)=18/21=6/7

α=arc tan(6/7)≈40.6°

It's the second one because each means one or single and a singular subject has a singular verb...

Answer:

Here you go! 8x+10-5x!

Just kidding. here you go. x=1.66

Step-by-step explanation:

you can simplifiy the x´s by making it 3x by subtracting. You can also subract 10 from both sides. That leaves you with 3x=5.

x=1.66

Answer:

[tex]\large\boxed{x=\dfrac{5}{3}=1\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]8x+10-5x=15\qquad\text{subtract 10 from both sides}\\\\8x+10-10-5x=15-10\qquad\text{combine like terms}\\\\3x=5\qquad\text{divide both sides by 3}\\\\x=\dfrac{5}{3}[/tex]

Answer:

25 ft

Step-by-step explanation:

a² + b² = c²

7² + 24² = c²

49 + 576 = c²

c² = 625

c = √625

c= 25

Answer:

D. 25 ft.

Step-by-step explanation:

To find the missing length of any right triangle, you can use the Pythagorean Theorem (A^2+B^2=C^2) to solve. A and B represent the legs (which we do have) and C represents the hypotenuse (which we are trying to find). Insert our known values into the theorem, and we will get 24^2+7^2=C^2. Now we just do the basic math for the numbers that we have (24^2 is 576; 7^2 is 49), and that added up would equal to 625. Now, since C is being squared on the other side, we now have to root both sides. On the side where C is, the radical and the square will cancel out each other, leaving us with just C. But, on the side where 625 is, it should root to 25. Since C is by itself now, the number on the other side (25) will be our answer. Therefore, the missing side is 25 feet long.

Which would mean that 540 people died or left the town.

I hope that this helps! :D

Answer:

The answer in the procedure

Step-by-step explanation:

we have

[tex]\pi=3.14[/tex]

[tex]r=1\ units[/tex]

[tex]h=2\ units[/tex]

case a) If the expression is

[tex]\pi r^{2} h[/tex]

then

substitute

[tex](3.14)(1)^{2} (2)=6.28\ units^{3}[/tex]

Round to the nearest whole number

[tex]6.28=6\ units^{3}[/tex]

case b) If the expression is

[tex](1/3)\pi r^{2} h[/tex]

then

substitute

[tex](1/3)(3.14)(1)^{2} (2)=2.09\ units^{3}[/tex]

Round to the nearest whole number

[tex]2.09=2\ units^{3}[/tex]

Answer:

2x² - 2x + 7

Step-by-step explanation:

Given

(8x² + 9) - (6x² + 2x + 2) ← distribute by - 1

= 8x² + 9 - 6x² - 2x - 2 ← collect like terms

= (8x² - 6x²) - 2x + (9 - 2)

= 2x² - 2x + 7

Answer:

2x² - 2x + 7

Step-by-step explanation:

Ape-x

Answer:

4153. Read the explanation please. There is no point in just reading the answer because the same type of problem can come up in the RSM homework or in a test and you will have no idea how to solve it.

Step-by-step explanation:

Form an equation with the information you know.

1. Moving the last digit, 3, to the first position is the same as doing (x-3)/10 +3000, where x is the original 4-digit number.

    Why it works: This expression works because first, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there. To remove the zero, you divide by 10. Finally, to put the 3 at the first position, you add 3000.

2. Since you know that the number will decrease by 738, you can do the second part of forming the equation. Make the expression equal to x - 738, like so --> (x-3)/10 + 3000 = x - 738

Solve the equation.

3. (x-3)/10 + 3000 = x-73

   (x-3)/10 = x - 3738

   x-3 = 10x - 37380

   x = 10x - 37377

   -9x = -37377

   x = 4153

Well, I've got to get back to my RSM homework. I hope this helped!

P.S.- The next time you have a question, email your RSM teacher (I'm assuming you go to RSM) because he/she is much more qualified then me (I'm only 12) and you don't really know if you can trust people giving you answers on Brainly.com.

ax - 5 = b

ax = b + 5

a = [tex]\frac{b+5}{x}[/tex]

Answer:

[tex]a=\frac{b+5}{x},x\ne0[/tex]

Step-by-step explanation:

The given equation is:

[tex]ax-5=b[/tex]

We want to solve this equation for a.

We add 5 to both sides of the equation to get:

[tex]ax=b+5[/tex]

We divide both sides by x to get:

[tex]a=\frac{b+5}{x},x\ne0[/tex]

We must restrict the domain because a is not defined for all values of x.

Answer:

Exponential function.

[tex]y = - 6( {3}^{x - 1} ) = - 2( {3}^{x} )[/tex]

As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

ANSWER

[tex]{f}^{ - 1} (x) = 7x - 2[/tex]

EXPLANATION

The given function is:

[tex]f(x) = \frac{x + 2}{7} [/tex]

Let

[tex]y = \frac{x + 2}{7} [/tex]

Interchange x and y.

[tex]x= \frac{y + 2}{7} [/tex]

Solve for y by first multiplying through by 7.

[tex]7x = y + 2[/tex]

Add -2 to both sides of the equation.

[tex]7x - 2 = y[/tex]

Or

[tex]y = 7x - 2[/tex]

Hence the inverse function is:

[tex]{f}^{ - 1} (x) = 7x - 2[/tex]

Answer:

p(x) = 7x - 2

Answer:

[tex]y=-1,869.5x+27,995[/tex]

Step-by-step explanation:

Let

x-----> the time in years

y----> value of Zachary’s car in dollars

[tex]A(0,27,995), B(10,9,300)[/tex]

step 1

Calculate the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{9,300-27,995}{10-0}=-1,869.50[/tex]

step 2

Find the equation of the line

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-1,869.50[/tex]

[tex]b=27,995[/tex]  -----> the y-intercept is the point A

substitute

[tex]y=-1,869.5x+27,995[/tex]

The linear equation to represent the value of Zachary's car after x years since its purchase is y = -1869.5x + 27995.

To write a linear equation to represent the value of Zachary's car after x years since its purchase, we need to determine the slope and y-intercept. The initial value of the car is $27,995, and after 10 years it depreciates to $9,300. The slope (m) can be calculated as (9300 - 27995) / (10 - 0) = -1869.5. The y-intercept (b) is the initial value, which is $27,995. Therefore, the linear equation that represents the value of Zachary's car is y = -1869.5x + 27995.

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Answer:

A

Step-by-step explanation:

The amount that David must have in the bank would be $783243.6

An annuity is a series of payments made at equal period of time.

We need to apply the formula for determining present annuity. It is expressed as

PV = R[1 - (1 + r)^- n]r

Where, PV represents the present value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n is the total number of payments made.

From the information given;

r = 1.5/100 = 0.015

n = 30 years

R = $32,635.15

Therefore,

PV = 32635.15[1 - (1 + 0.015)^- 30]/0.015

PV = 32635.15[1 - (1.015)^- 30]/0.015

PV = 32635.15[1 - 0.64]/0.015

PV = 32635.15[0.36]/0.015

PV = 32635.15 × 24

PV = $783243.6

Learn more about annuity;

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