Which inequality matches the graph? X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Dotted line on graph has positive slope and runs through negative 3, negative 8 and 1, negative 2 and 9, 10. Above line is shaded. a −2x + 3y > 7 b 2x + 3y < 7 c −3x + 2y > 7 d 3x − 2y < 7

Answer:

x(7y)x(7y)

Step-by-step explanation:

The given expression: 7(xy)7(xy)

i.e. a product of 7 and xy.

The operation used here: Multiplication.

Commutative property of multiplication :-

a\times b=b\times aa×b=b×a for any numbers a and b.

Associative property of multiplication :-

a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.

Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]

=(x7)y=(x7)y [Commutative property of multiplication]

=x(7y)=x(7y) [Associative property of multiplication]

Answer:

Step-by-step explanation:

Given system:

Add up equations:

Find y:

Answer:

Solution given:

x+y=12......[1]

x-y=6........[2]

adding equation 1 and 2 we get

x+y+x-y=12+6

2x=18

x=18/2

x=9

substituting value of x in equation 1

9+y=12

y=12-9

y=3

x=9

y=3

Answer:

The answer is 1/2.

Step-by-step explanation:

1/6÷ 1/3

= 1/6 × 3/1

= 1/6 × 3/1

= 3/6

= 3/6 ÷ 3/3

= 1/2

Answer:

0.5

Step-by-step explanation:

1/6=0.16

1/3=0.3

divide them and it gives you 0.5

Answer:

5/8

Step-by-step explanation:

There are 5 people when 3 more join for a total of 8 people

5 candy bars divided by 8 people

Take the candy bars and divide by the people

5/8

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

Learn more about end behavior here:

https://brainly.com/question/28954897

#SPJ1

Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

The weight of 2 trapezoids combined is 32 oz

The weight of the trapezoids is solved by comparing the  weights to get the unit weight.

The weight of the rectangle is 96 oz and this is equal to 6 trapezoids

hence

6 trapezoids = 96 oz

1 trapezoid will be = 96 / 6 = 16

The 2 trapezoids is calculate by multiplication

= 2 * 16

= 32 oz

the weight of two trapezoids is 32 oz

Learn more about weight calculations at:

https://brainly.com/question/19177598
#SPJ1

Answer: 33/4

Step-by-step explanation:

The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

Read more about Fraction Problems at: https://brainly.com/question/24132459

#SPJ1

x=2

hope this helped

Answer:

\(\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}\)

Step-by-step explanation:

Given

\(\frac{x - 20}{ x^2 + x - 20}\)

Required

Decompose into partial fraction

Start by factorizing the denominator:

\(x^2 + x - 20 =x^2 + 5x -4x- 20\)

\(x^2 + x - 20 =x(x + 5)-4(x+5)\)

\(x^2 + x - 20 =(x-4)(x+5)\)

So, we have:

\(\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}\)

Take LCM

\(\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}\)

Cancel out the denominator

\(x - 20 = A(x+5)+B(x-4)}\)

Open brackets

\(x - 20 = Ax+5A+Bx-4B\)

Collect Like Terms

\(x - 20 = Ax+Bx+5A-4B\)

\(x - 20 = (A+B)x+5A-4B\)

By comparison;

\((A +B)x = x\) ==>\(A + B = 1\)

\(5A - 4B = 1\)

Make A the subject in \(A + B = 1\)

\(A = 1 - B\)

Substitute 1 - B for A in \(5A - 4B = 1\)

\(5(1-B) -4B = 1\)

\(5-5B -4B = 1\)

\(5-9B = 1\)

Collect Like Terms

\(-9B = 1 - 5\)

\(-9B = - 4\)

\(B = \frac{4}{9}\)

\(A = 1 - B\)

\(A = 1 - \frac{4}{9}\)

\(A = \frac{9-4}{9}\)

\(A = \frac{5}{9}\)

So:

\(\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}\)

\(\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}\)

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

Answer:

... b

Step-by-step explanation:

Answer:

Explanation:

Here, we want to get an expression that is similar to the given

We have to rewrite the given expression to achieve this

Mathematically, we know that:

Using this same rule, we have it that:

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

Step-by-step explanation:

The circumference of a circle is given by :

C=2πr, r is the radius of the circle

Also, 2r = D, diameter of the circle

⇒ C = πD

If the diameter of a circle is multiplied by 10, it means,

C = π(10)

⇒ C = 10π

Hence, if the diameter of a circle is multiplied by 10, then its circumference becomes 10π.

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

For more such questions on principal visit:

https://brainly.com/question/25720319

#SPJ8

Answer:

The Pythagorean Theorem describes the relationship among the three sides of a right triangle

\(a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18\)--> not a right triangle

Answer: k = 76 degrees

Step-by-step explanation:

A linear pair of angles are always supplementary. (They sum to 180)

If the pair of angles are k and 104, they have to add up to equal 180.

180-104= 76

K has to equal 76 degrees

Answer:

B. 76

Step-by-step explanation:

I just took the quiz and got it right

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

Learn more about emails at:

https://brainly.com/question/20731943

#SPJ1

A. The percentage of the survey respondents that do not like both hamburgers and burritos is 26.34%.

B. The marginal relative frequency of all customers who like hamburgers is 53.66%.

C. Using the conditional relative frequencies of the data point, the strongest association of its two factors shows liking hamburgers and not liking burritos is the case.

The completion of the table for the data analysis is as follows:

                          Likes Hamburgers   Does not like Hamburgers    Total

Likes burritos                    29                                41                           70

Does not like burritos       81                                54                         135

Total                                  110                               95                        205

A. The percentage of the survey respondents that do not like both hamburgers and burritos is 26.34% (54/205 x 100).

B. The marginal relative frequency of all customers who like hamburgers is 53.66% (205 - 95)/205 X 100.

C. The conditional relative frequencies:

Likes of hamburgers = 53.66% (110/205 x 100)

Dislikes of hamburgers = 46.34% (95/205 x 100)

Likes of burritos = 34.15% (70/205 x 100)

Dislikes of burritos = 65.85% (135/205 x 100).

Thus, we can conclude that based on the conditional relative frequencies more customers of the food truck like hamburgers (53.66%) compared to those who like burritos (34.15%).

Learn more about relative frequencies at https://brainly.com/question/26645503

#SPJ1

Answer:

5q + 9

Step-by-step explanation:

Combine like terms to simplify the expression.

Have a blessed day!

Answer:

7q+9

Step-by-step explanation:

6q+4+q+5

6q+q+4+5

=7q+9

Answer:

Step-by-step explanation:

Part A:

Mount Everest Great Himalayas of southern Asia 8,849.87 meters

In scientific notation

8.84987 * 10 ^3

Rounding to the nearest whole number

9 * 10 ^3

Mount Olympus Mytikas, Greece 2,919.07 meters

In scientific notation

2.91907 * 10 ^3

Rounding to the nearest whole number

3 * 10 ^3

Taking Everest and diving by Olympus

9 * 10 ^3÷3 * 10 ^3 = 9/3 *  10 ^ (3-3) = 3

3 times

Part B:

Mount Everest Great Himalayas of southern Asia 8,849.87 meters

In scientific notation

8.84987 * 10 ^3

Mount Olympus Mytikas, Greece 2,919.07 meters

In scientific notation

2.91907 * 10 ^3

Taking Everest and diving by Olympus

8.84987 * 10 ^3÷2.91907 * 10 ^3

8.84987/2.91907  * 10^(3-3) = 3.031742987

Part C:

The estimate is reasonable.  The estimate of 3 is very close to the value of 3.031742987   Therefore, we can conclude that the estimates for the heights were accurate.

Answer:

A) ≈3

B) ≈3

C) See below.

Step-by-step explanation:

Mount Everest is 8,849.87 meters tall.

Mount Olympus is 2,919.07 meters tall.

Part A:

Let's round each of the heights.

Mount Everest is 8,849.87 meters or approximately (I'm going to round to the nearest hundred) 8,800 meters.

Mount Olympus is 2,919.07 or approximately 2,900 meters.

Now, let's convert these numbers to scientific notation.

In order to convert a number to scientific notation, you would move the decimal to the left. Depending on how many spaces you move, you would then multiply the new number by 10 to the power of n.

Also, the new number must be between 1 and 10.

Mount Olympus is approximately 2,900.00 meters. To get a number between 1 and 10, we move the decimal place to the left three times. So:

\(O=2.91907\times 10^3\)

Since we moved three times, we multiply by 10 to the third:

\(O=2.9\times 10^3\)

Similarly for Mount Everest, it is approximately 8,800 meters. We are again going to move the decimal point to the left three times. So:

\(E=8.8\times 10^3\)

To find how many times Everest is taller than Olympus, divide the two, with Everest in the numerator:

\(\frac{8.8\times 10^3}{2.9\times 10^3}\)

The 10 cubed will cancel. So:

\(=\frac{8.8}{2.9}\)

Divide. Use a calculator:

\(\approx3\)

So, Everest is approximately three times as tall as Olympus.

Part B)

Now, do the same instead this time, we won't round.

Olympus:

\(O=2,919.07\)

Move decimal three times to the left:

\(O=2.91907\times 10^3\)

Same for Everest:

\(E=8,849.87\\E=8.84987\times 10^3\)

Again, divide them:

\(\frac{8.84987\times 10^3}{2.91907\times 10^3}\)

Time 10 cubed cancel. Use a calculator:

\(=\frac{8.84987}{2.91907}\approx3.031742987\approx3\)

Again, this is approximately 3.

Part C:

Yes, we can. The estimate we got (when rounding to the nearest hundred) is extremely close to the value we acquired when we didn't round (3.0317). Therefore, we can conclude that our estimate in Part A is reasonable.

Answer:

  see attached for a sketch

  area = 5 1/3 square units

Step-by-step explanation:

You want the area under the square root curve, above y=0, from x=0 to x=4.

The area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...

  dA = (√x)dx

  A = ∫(√x)dx

The power rule can be used for the integration:

  \(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)

The area of the region is 5 1/3 square units.

__

Additional comment

You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.

This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.

#95141404393

The amount that Karsten's estate should pay his younger daughter each month over 20 years so that the accumulated present value will be equal to $50,000 is $358.22.

The monthly payments out of the present value of $50,000 can be computed using an online finance calculator.

The periodic payment represents the equal amount that can be paid to the daughter monthly so that it equals the PV of $50,000 of the estate share.

N (# of periods) = 240

I/Y (Interest per year) = 6%

PV (Present Value) = $50,000

FV (Future Value) = $0

Results:

Monthly Payment = $358.22

Sum of all periodic payments = $85,971.73 ($358.22 x 2400

Total Interest = $35,971.73

Thus, Karsten's younger daughter can be paid $358.22 to equal the accumulated present value of $50,000.

Learn more about periodic payments at https://brainly.com/question/13098072 and https://brainly.com/question/13031679

#SPJ1

Answer:

68% rode the bus; 32% walked home

Step-by-step explanation:

Answer:

A) m∠A ≅ m∠C, m∠B ≅ m∠D

Step-by-step explanation:

If both pairs of opposite angles are congruent, then the figure is a parallelogram.