Solve the system of equations by graphing

u=v
4u=2v-12

Answer:

as decimal

0.27083333333

Answer:

2 3/5 divided by 9 3/5 is 32

The value of a and b in the function  f(x) = √ x+2 and g(x) = ax + b , is a = 0 and b = 2  .

In the question ,

it is given that ,

the function f(x) = √(x+2) and the function g(x) = ax + b

also given that

fog(1) = 2

f(g(1)) = 2

f(a + b) = 2         .... because g(1) = a + b

√(a + b +2) = 2

Squaring both the sides

a + b + 2 = 4

a + b = 2      .......(1)

also given that

g(-1) = 2

a(-1) + b = 2

-a + b = 2         .....(2)

Adding equation (1) and (2) , we get

2b = 4

b = 2

Substituting b = 2 in the a + b = 2 , we get

a + 2 = 2

a = 2 - 2

a = 0

Therefore , The value of a and b in the function  f(x) = √ x+2 and g(x) = ax + b , is a = 0 and b = 2  .

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Answer: As x approaches infinity, f(x) approaches infinity.

As x approaches -infinity, f(x) also approaches - infinity.

Step-by-step explanation:

You can either graph this function on an online graphing (such as desmos. com) calculator to see the end behavior, or you can try inputting some numbers in. You could put in the number 1,2,3 and see that the graph will keep on increasing to positive infinity, and input the numbers -1,-2,-3 to see that the numbers will decrease to negative infinity.

Answer:

Only Julia's Question.

Step-by-step explanation:

Julia: 8÷[tex]\frac{1}{4}[/tex]

Tanveer: 8*1/4

The solution to this inequality in interval notation is {-∞, -3} and it goes to the left on the number line.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data such as integers, and variables in an equation based on any of the following inequality symbols:

From the information provided, we have the following inequality:

4.2y ≤ -12.6

Dividing both sides of the inequality by 4.2, we have the following:

y ≤ -12.6/4.2

y ≤ -3

In conclusion, a solution to this inequality is equal to {-∞, -3} as shown in the number line (graph) attached below.

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Answer: 24.5

Step-by-step explanation: 3.5 x 7 = 24.5

Answer: 24.5 ounces

Step-by-step explanation:

3.5 times 7 = 24.5 ounces

If you have trouble try

3.5 + 3.5 + 3.5 + 3.5 + 3.5 + 3.5 + 3.5

Answer: (y - 1) = 4(x + 8)

Step-by-step explanation:

The point-slope form is (y - y₁) = m(x - x₁), where:

So, the point-slope of this line would be (y - 1) = 4(x + 8).

Answer:

y + 4 = -(x - 8)

Step-by-step explanation:

The point-slope form equation is y - y1 = m(x - x1)

Since we're given m and since they use the 4 from (8, -4) as y - (-4) = y+4, we simply need to plug in 8 into the RHS of the equation and you can check the math.

If you substitute 8 and -4 for y and x, you have:

-4 + 4 = -1(8 - 8)

0 = -1 * 0

0 = 0

You'd get -2 on both sides if you used -6 and 10, but having an equal equation means our math is true/accurate.

Answer:

The asymptote indicates that as the number of weeks the farmer has had the cats increases, the population of mice approaches 0.

The y-intercept represents the number of mice the farmer had in the barn at the time he adopted the cats.

The line y = 0 is an asymptote of the graph.

The y-intercept is 800.

Step-by-step explanation:

Took the test

[tex]a=\frac{6}{5}[/tex].

[tex]a+\frac{4}{5} =\frac{1}{\frac{1}{2} }[/tex]

[tex]a+\frac{4}{5} =1*\frac{2}{1} \\ \\a+\frac{4}{5} =2[/tex]

[tex]a+\frac{4}{5}-\frac{4}{5} =2-\frac{4}{5}\\ \\a=\frac{2}{1}-\frac{4}{5}\\\\a=\frac{2*5}{1*5}-\frac{4}{5}\\ \\a=\frac{10}{5}-\frac{4}{5}\\ \\a=\frac{10-4}{5} \\ \\a=\frac{6}{5}[/tex]

[tex](\frac{6}{5} )+\frac{4}{5} =\frac{1}{\frac{1}{2} }\\ \\\frac{10}{5} =2\\ \\2=2[/tex]

[tex]a=\frac{6}{5}[/tex].

Answer:

2 + (-10) = 12

Step-by-step explanation:

The great answers. Thank you. I hope for help to you.

The length of the line is 10ft  

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse in familiar algebraic notation, a2 + b2 = c2

Given that A kite is flying 8 ft off the ground. Its line is pulled taut and casts a 6-ft shadow

We have to find a third side

By using Pythagoras' theorem. a^2+b^2=c^2

8^2+6^2=c^2

64 +36 = c^2

c^2= 100

c^2= 10

Therefore the length of the line is 10ft

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Answer:

chocolate- 2 dollars walnuts- 4

Step-by-step explanation:

2 x3=6. 14-6=8

8÷2=4

Refer to the attachment for your graph.

The number of ways the digits of the given number can be arranged would be = 5,040

Factorials are mathematical expressions that are used to show the number of ways a variable can be arranged in a data set.

The number of digits found in the number 7,550,000 = 7

The number of ways the digits can be arranged would be the factorials of 7 (7!) ;

= 7×6×5×4×3×2×1

= 5,040

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Since we are give the area, the length, and the width, we could put it in a formula.

2592=(16)(12)h

Multiply 16 x 12= 192

So now the formula is 2592= 192h

lastly, we divide 192 from 2592

h= 13.5 mm

1. An equation representing the number of days Amir has been reading and the number of pages he has read is y = 35x.

2. An equation representing the number of days Jesse has been reading and the number of pages she has read is y = 30 + 30x.

3. The system of equations from 1 and 2 is y = 35x and y = 30 + 30x.

4. At the end of Friday, after solving the equations, both Jesse and Amir read 210 pages each, with Jesse spending 7 days and Amir 6 days.

5. For Jesse and Amir, the equation solutions are y is 210 pages and x is 6 days.

6. After solving the equations, it will take Amir 6 days to catch up with Jesse and each person must have read 210 pages or a total of 420 pages.

A system of equations involves using more than one equation solved simultaneously.

Jesse's reading rate per day = 30 pages

Amir's reading rate per day = 35 pages

The number of pages read by Jesse, y = 30 + 30x

The number of pages read by Amir, y = 35x

Where x = the number of days they have been reading

y = 30 + 30x and y = 35x

35x  = 30 + 30x

35x - 30x = 30

5x = 30

x = 6 (30/5)

y = 30 + 30x

y = 30 + 30(6)

y = 210

y = 35x

y = 35(6)

y = 210

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Answer:

x> 2

Step-by-step explanation:

18< 9x  Divide both sides by 9

2<x  or x > 2  All the numbers greater than 2 is a solution.

Answer:

C

Step-by-step explanation:

4(n-5)<3(n+11)

4n-20<3n+33

4n-3n<33+20

n<53

n is not 53 but less than 53.

Answer:

slope is m=1

Step-by-step explanation:

Answer: 1

Step-by-step explanation: use the slope formula to find the slope m

The expression 2(3+4) can be expressed as 2×7

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

For example the factors of 8 are 1,2,4,8. i.e 1×8=8, 2×4= 8

considering the expression 2(3+4), the value is 2(7)= 14

Therefore the expression can be expressed as product of two factors (2 and 7) as 2×7.

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Answer:

Step-by-step explanation:

The maximum that the company can expect for returned items is C. $5972.65

How to calculate the value?

From the information, the average daily profit of an electronics store is $31,435 and the company estimates that 15% is lost each day to returns, with a margin of error of ±4%.

In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings. Simply said, you may determine the degree of unpredictability in data and research results using the margin of error.

The maximum the company can expect for returned items will be:

= (15% + 4%) × Profit

= 19% × $31,435

= 0.19 × $31,435

= $5972.65

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Withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

What do you mean by simple interest and compound interest?

Simple interest can be defined as the amount that is paid back using borrowed money over a period of time.

simple interest:

Simple interest can be defined as the principal of a loan or deposit that an individual puts into a bank account.

Compound interest:

Compound interest is interest that accrues on the principal and accrues interest.

Given:

Principal, P = $710000

Rate of interest, r = 8.25%

Time period, t = 20 years

withdrawal at the end of 20 years , A = [tex]P(1+r)^{t}[/tex]

A = [tex]710000(1+8.25/100)^{20}[/tex] = [tex]710000(1+0.0825)^{20}=710000(1.0825)^{20}[/tex]

Therefore, withdraw at the end of each of the next 20 years is [tex]710000(1.0825)^{20}[/tex]

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Hay un total de 2730 combinaciones posibles.

en carrera de 15 caballos si se consideran 3 posiciones

entonces número de combinaciones posibles = 15 * 14 * 13 = 2730 combinaciones posibles

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Answer:

p = 5.8

Step-by-step explanation:

12 = p + 6.2  Subtract 6.2 from both sides.  Ling subtracted 6.2 from the right, but added it to the left side.

5.8 = p

From the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

As given in the question,

For the given graph of a function,

Number of points represented on the graph are 5

Points are a, b, c, d, e

Point a, c, e are on the x-axis.

Relative extreme value representing the maximum and minimum value of the graphed function.

For the given graph,

Maximum value represented by point d.

Minimum value represented by point b.

Number of points representing relative extreme values are 2 ( b and d).

Therefore, from the given graph of the function, the number of points on the graph representing relative extreme value are two (b and d).

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The number of each type of stamp used is as follows:

Melinda needed to mail a package. She used .02 stamps and .10 stamps to mail the package. She used 15 stamps worth 0.78. The number of each type of stamp she used can be calculated as follows:

let

x = number of 0.02 stamp

y = number of 0.10 stamp

Using system of equation,

x + y = 15

0.02x + 0.10y = 0.78

multiply equation(ii) by 50

x + y = 15

x + 5y = 39

4y = 24

y = 24 / 4

y = 6

Hence,

x = 15 - 6

x = 9

Therefore, the number of 0.02 stamps is 9 and the number of 0.10 stamp is 6.

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The linear function f with  f(0) = 7 and f(3) = 1 is  y = -2x + 7

Linear equation can be represented in slope intercept form as follows:

y = mx + c

where

Therefore,

f(0) = 7 and f(3) = 1

Using linear equation

7 = m(0) + b

b = 7

1 = m(3) + 7

1 - 7 = 3m

-6 = 3m

m = - 6 / 3

m = -2

Therefore, the linear function is y = -2x + 7

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