The graph shows two lines, A and B.

A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 5, 0. Another straight line labeled B joins the ordered pair 0, 2 with the ordered pair 6, 6.
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)

Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answer:

x² - 22x + y² + 18y + 58 = 0

Step-by-step explanation:

Using the equation of a circle :

(x - h)² + (y - k)² = r²

Solving :

Substitute 11, -9, 12 in place of h, k and r respectively.

Answer:

the line represents the average slope in which the dots line up. in other words, it shows where most of the options/solutions are on the plot

Step-by-step explanation:

nice pfp

f(g(x))

The smallest no for the domain is -63 as square root of a negative no not possible.

For -63

Answer:

x = -7

Step-by-step explanation:

[tex]\begin{aligned}f \circ g=f[g(x)] & = \sqrt{9(x+7)}\\& = \sqrt{9}\sqrt{x+7}\\ & = 3\sqrt{x+7}\end{aligned}[/tex]

Domain = input values (x-values)

As we cannot square root a negative number, the domain is:

x ≥ -7  →  [-7, ∞)

Therefore, the smallest number that is in the domain of  [tex]f \circ g[/tex]  is -7

Answer:

i dont now..............................

Step-by-step explanation:

This is why because

Answer:

x = ± 2

Step-by-step explanation:

10 - 3x² = - 2 ( subtract 10 from both sides )

- 3x² = - 12 ( divide both sides by - 3 )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

then x = - 2, x = 2

Answer:

x=2,-2

Step-by-step explanation:

10-3[tex]x^2\\[/tex]=-2

Can also be written as 12=3[tex]x^2[/tex]

[tex](12=3x^2)/3[/tex]

[tex]4=x^2\\\sqrt{4} =+-\sqrt{x^2} \\[/tex]

2=+-x or x=2,-2

x=2,-2

Answer: x ≥ -3

Step-by-step explanation:

Since the circle is "shaded" and it points to the right of -3. It will be read as greater than or equal to negative three.

Answer: Heyaa! ~

Your Answer would be.. =4

Step-by-step explanation:

Hopefully this helps you ! ^^

Answer:

linear equation is the equation having degree 1 like ax+by=c so option B is correct ..

y+7=5x will be treated as the linear function.  Thus, option B is correct.

Any formula with one or two variables and no exponents is said to be linear. On the coordinate plane, this property depicts a straight line. In order to maintain the same function's linear illness, extra variables in a function must be constant.

y+7=5x

This equation can be written in a proper form:

y=5x-7

As this equation does not have any power therefore this will be treated as a linear function.

Therefore, option B is correct.

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The ratio of Nathan's nickels to dimes to quarters is 4 : 4 : 17.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

The ratio = 8 : 8 : 34 = 4 : 4 : 17

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Answer:

A ≈ 391.1 feet

formula to find the area of an octagon is shown below

[tex]area = 2(1 + \sqrt{2} )a { }^{2} [/tex]

Answer:

Step-by-step explanation:

5x - 4(2x - 5) = -10

5x - 8x + 20 = -10

-3x = -30

x = 10

y = 2(10) - 5 = 20 - 5 = 15

(10, 15)

Answer:

9x7=63

Step-by-step explanation:

just use a calculator for multiplication

The product of 9 and 7 is 63. In other words, the result of multiplying 9 and 7 is 63.

To find the result of multiplying 9 and 7, by follow a step-by-step process.

First, start by writing the multiplication expression as 9 multiplied by 7.

Next, multiply the digit in the ones place of the first number (9) with the digit in the ones place of the second number (7).

In this case, 9 multiplied by 7 equals 63.

Then, move to the tens place of the second number (7) and multiply it with the digit in the ones place of the first number (9).

Since there is no digit in the tens place of the first number, skip this step.

Finally, add the products obtained from the previous steps.

In this case, there is only one product, which is 63.

Therefore, the result of multiplying 9 and 7 is 63.

Multiplication is a fundamental arithmetic operation used to determine the total value when a number is repeated a certain number of times. In this case, multiplying 9 by 7 represents adding nine 7s together.

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Answer:the answer is 352

Step-by-step explanation: mike can find the sum by adding the two numbers 145+237=352 to make it simpler you can start by adding the hundreds then the tens and then the ones.

Answer:

Step-by-step explanation:

Step 1 is to collect the information in a table format.  The attached Table1 summarizes what we know in columns 1 - 3. Columns 4 - 6 show the data we're about to calculate, so ignore them for the moment.

.I use A for the price of one apple and C for the price of 1 chocolate bar.  We know how many of each are purchased by both Mary and Bill, and the total each paid.  

The last column (6) shows the price for each, which comes from the derivation presented below.

We can set the information in columns 1 - 3 into equations:

Mary:  3A+1C = 2.70   [This states that Mary bought 3 apples at a price of A for each apple, and 1 chocolate bar at a price of C per bar.]

Bill:      1A + 4C = 6.40  [In the same fashion, this summarizes how Bill parted with his $6.40]

---

Now let's rearrange either equation to solve for C.  I'll use Mary's equation:

3A+1C = 2.70

1C = 2.70 - 3A

This tells us that the price of 1 chocolate bar is $2.70 minus the cost of 3 apples.  Interesting, but we need the price of a chocolate bar to determine an exact amount.

----

Now take Bill's equation and substitute the value we just derived for the price of a chocolate bar C = (2.70-3A).

1A + 4C = 6.40

1A + 4(2.70 - 3A) = 6.40

1A + 10.80 - 12A = 6.40

-11A = -4.40

A = 0.40    This is the price for 1 apple.  This is the value in the last column (6) of attached Table1.

---

Now we can use the value of $0.40 in either equation to find the price of a chocolate bar.  I'll use the rearranged equation we developed for Mary:

1C = 2.70 - 3A

1C = 2.70 - 3(0.40)   [A = 0.40 from the above work]

1C = 2.70 - 1.20

1C = 1.50

The price of 1 chocolate bar is $1.50.  Pricey, and bad for health.  But very tasty.

Columns 4 and 5 are the total costs for the apples and bars bought by each, and their sums add up to the amounts we were given at the start of the problem.  So our prices must be correct.

The number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways

Permutation are related to arrangement and combination has to do with selection.

If there are 12 teams, each representing a different country and the possible awards are gold, silver, and bronze medals, the number of ways they can be selected is given as:

12P3 = 12!/(12-3)!

12P3 = 12!/9!

12P3 = 12 * 11 * 10

12P3 = 1320 ways

Hence the number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways

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The LCM stands for the least common multiple. The least of the possible number of choir members at the rehearsal is 59.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Given the configurations of choir members at the rehearsal, which are,

Now, it takes the LCM of 12, 15, and 20, then the LCM will be 60, But since None of these configurations worked because for each, the last row had 1 person less than the other rows. The number of members was 1 less than the LCM.

Hence, the least of the possible number of choir members at the rehearsal is 59.

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Answer:

A

Step-by-step explanation:

You have to use intercept theorem, also known as Thales's theorem to slove

The option (D) the graph crosses the x-axis at the point (2, 0) is correct because the graph crosses x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The correct question is in the picture please refer to the attached picture.

We have a function:

f(x) = x⁴ - 5x³ - 4x² + 20x

By using factorization method:

[tex]\rm f(x) =x\left(x^3-5x^2-4x+20\right)[/tex]

[tex]\rm f(x) =x\left(x-5\right)\left(x+2\right)\left(x-2\right)[/tex]

By using zero product rule:

x = 0

x = 5

x = -2

x = 2

The graph crosses the x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0)

Thus, the option (D) the graph crosses the x-axis at the point (2, 0) is correct because the graph crosses the x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0).

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Answer: Edmentum/plato.

Step-by-step explanation:

Answer:

The new dimensions are 6 ft and 4 ft.

Step-by-step explanation:

Let x = side of original square.

The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are

x + 3 and x + 1

The area of the rectangle is length × width.

area = (x + 3)(x + 1)

area = x² + 4x + 3

The area is 24 ft².

x² + 4x + 3 = 24

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0

x + 7 = 0 or x - 3 = 0

x = -7 or x = 3

x + 3 = 3 + 3 = 6

x + 1 = 3 + 1 = 4

The new dimensions are 6 ft and 4 ft.

Answer:

The y-intercept is 4.

Step-by-step explanation:

The point lies on the coordinate (0,4) meaning it is the y intercept. Hope this helps! :)

Answer:

-1.25 or -10/8

Step-by-step explanation:

the additive inverse of a number is the number that would make it zero when added

ex. the inverse of 5 is -5 because 5+(-5)=0

so the inverse of -5/8 is 5/8 because -5/8+5/8=0. The question said to subtract the additive inverse.

-5/8-(5/8)=

-5/8-5/8=

-10/8 or -1.25

Answer:

answer would be.. B= 11 miles

Answer:

43.96 feet

Step-by-step explanation:

The formula for the circumference of a pool is π*diameter or 2*π*radius.

Therefore, since the diameter is 14, 14*3.14= 43.96

The time taken by the jet will be equal to 6.58 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The time taken by the jet will be calculated as:-

Average speed = 525 - 150 = 375 miles per hour.

The time is taken to cover the distance of 2468 miles will be:-

Time = 2468 / 375 = 6.58 hours.

Therefore time taken by the jet will be equal to 6.58 hours.

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Answer:

The answer is 22 if it it has 30 degree and 60 degree for other angles

The answer is [tex]11\sqrt{2}[/tex] if it is a 45-45-90 case

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{5}{20}[/tex]

Step-by-step explanation:

    We will put the number of wanted outcomes over the number of possible outcomes.

[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possibly outcomes}} =\frac{\text{red marbles}}{\text{number of all marbles in the bowl}}=\frac{5}{5+7+8} =\frac{5}{20}[/tex]

Answer:

the answer is 5 got it right on quiz

Answer:  E

Reason:

The tip of the right whisker is the max value. This is assuming there aren't any large outliers.