solve the system using substitution. show all work

Answer:

[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

Step-by-step explanation:

Complete the square

[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]

The correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

What is the definition of a linear equation?

It is described as a relationship between two variables that results in a straight line if the graph of the linear equation is plotted.

When just one variable is involved in a linear equation, the equation is referred to as a linear equation in one variable.

The four graph are attached in the attachment.

Hence,the correct answer to match the graph is 1 ⇒C, 2⇒ D 4 ⇒B 3⇒ A respectively.

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Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.

The period of a function is given by the distance between it's repetitions.

In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.

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Answer:

Y=3

Step-by-step explanation:

please mark brainliest

Answer:

Y = 3

If you need me to explain it step by step lmk.

Answer:

(0, -3, 2)

(0, -3, 0)

(-4, 0, 2)

Corner where 2 or more edges meet.

If the length of the diagonals are equal, then the vertices of a rhombus will form a square. Formula used: We will use the formula of distance between two points which is given

[tex]\[d = \sqrt {{{({x_2} - {x_1})}^2} + {{({y_2} - {y_1})}^2}} \], where \[({x_1},{y_1})\] and \[({x_2},{y_2})\][/tex]

be the two points.

The number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

Mixed numbers are the number which are used to write the whole number and the fraction number combined. As the whole number and fraction number are expressed together, thus these numbers are called mixed numbers.

Jeff is making a fruit salad. He has 1 1/3 cups blackberries. In the fractional number,

[tex]\text{Blackberries}=1\dfrac{1}{3}\\\text{Blackberries}=\dfrac{3+1}{3}\\\text{Blackberries}=\dfrac{4}{3}[/tex]

Jeff has 2 1/2 cups of strawberries. In the fractional number,

[tex]\text{strawberries}=2\dfrac{1}{2}\\\text{strawberries}=\dfrac{4+1}{2}\\\text{strawberries}=\dfrac{5}{2}[/tex]

Thus, the number of cups of blackberries does he have for every 1 cup of strawberries,

[tex]r=\dfrac{\dfrac{4}{3}}{\dfrac{5}{2}}\\r=\dfrac{4\times2}{3\times5}\\r=\dfrac{8}{15}[/tex]

Hence, the number of cups of blackberries Jeff has for every 1 cup of strawberries is 8/15 while making a fruit salad.

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The square root of 3415 is 58.438001334748

Answer:

A. OEO, EOE, EEE, EEO, OOE, OEE

A (probability). [tex]\frac{3}{4}[/tex]

B. OEO, EOE

B (probability). [tex]\frac{1}{4}[/tex]

C. EOE, EEE, OOE, OEE

C (probability). [tex]\frac{1}{2}[/tex]

hope this helps:)

Answer:

A. OEO, EOE, EEE, EEO,  ------- (probability).  3/4

B. OEO, EOE ------(probability). 1/4

C- EOE   --------------(probability). 1/4 aswell

Step-by-step explanation:

Sorry it took so long

I hope this helps C:

Answer:

the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.

and the 1/2 of this in the group Is 9

In triangle ABC, If A is located at (-1,2), A' will be located at (-3, 6)

To answer the question, we need to know what dilation is

Dilation is a form of transformation in which the size of an object is increased or decreased by a factor.

For any object with coordinates (x,y) dilated by a factor k, the new coordinates of the dilated object is (kx, ky).

Given that triangle ABC is going to be dilated by a scale factor of 3 and A is located at (-1, 2).

Since

The new coordinates of A' = (kx, ky)

= (3 × -1, 3 × 2)

= (-3, 6)

So, A' will be located at (-3, 6)

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Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{^{a^{n} } }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{x^{9} }{x^2}[/tex] = [tex]x^{(9-2)}[/tex] = [tex]x^{7}[/tex]

The expression (x⁹)/(x²)  in single exponent is x⁷.

To write the expression (x⁹)/(x²) using a single exponent

we can apply the exponent rule for division, which states that when dividing two exponential expressions with the same base, we subtract the exponents:

[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]

(x⁹)/(x²)

= x⁹⁻²

= x⁷

Therefore, the expression (x⁹)/(x²)  can be simplified to x⁷.

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The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.

x-intercept is the point of a function that goes through the x-axis. Quadratic functions have at most two x-intercepts and linear functions have always one x-intercept.

In both expressions those intercepts are found by solving expression for x when y is equal to zero. In this question we must determine the smallest x-intercept value from one of the two polynomic functions:

a) f(x) = 3 · x - 9

3 · x - 9 = 0

x = 3

b) f(x) = x²

x² = 0

x = 0

The quadratic function f(x) = x² has the smallest x-intercept value in comparison with the linear function f(x) = 3 · x - 9, which is located at x = 0.

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Bisect each angle of the triangle using a compass then where the lines the have been bisected meet up, from there, put the the compass and then your pencil tip on the perimeter of the triangle and draw a circle

7y - (4y - 14) = 23

---Distribute the negative sign into the terms in the parentheses

7y - 4y + 14 = 23

---Combine like terms

3y + 14 = 23

---Subtract 14 from both sides

3y = 9

---Divide both sides by 3

y = 3

Answer: y = 3

Answer Choice: A, 3

Hope this helps!

Answer:

A. The solution is y = 3.

Step-by-step explanation:

Given

Distribute the value to the terms in parentheses.

Simplify like terms and subtract 14 from each side.

Divide by 3 on each side.

A. The solution is y = 3.

Answer:

5x - 8y =17

y+5 =3x

Answer | (3,4)

Step-by-step explanation:

I used a calculator

Answer:

[tex]x-8y=-24[/tex]

Step-by-step explanation:

Standard form of a linear equation:  [tex]Ax+By=C[/tex]

(where A, B and C are integers, and A shouldn't be negative)

Given equation:

[tex]y=\dfrac{1}{8}x+3[/tex]

Multiply both sides by 8:

[tex]\implies 8 \cdot y=8 \cdot \dfrac{1}{8}x+8 \cdot 3[/tex]

[tex]\implies 8y=x+24[/tex]

Subtract 8y from both sides:

[tex]\implies 8y-8y=x+24-8y[/tex]

[tex]\implies 0=x+24-8y[/tex]

Subtract 24 from both sides:

[tex]\implies 0-24=x+24-8y-24[/tex]

[tex]\implies -24=x-8y[/tex]

In standard form:

[tex]\implies x-8y=-24[/tex]

Answer:

[tex]\sf slope: \boxed{\bf \frac{1}{3} }[/tex]

Explanation:

[tex]\sf slope :\dfrac{y_2-y_1}{x_2-x_1} =\dfrac{rise}{run} \ \ \ \ where \ (x_1, \ y_1) ,(x_2, \ y_2) \ are \ points[/tex]

Find slope:

[tex]\rightarrow \sf \dfrac{x_2-x_1}{y_2-y_1}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{3-5}{-4-2}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{1}{3}[/tex]

Answer: -1/3

Step-by-step explanation:

The equation to find the slope of a line is [tex]\frac{y2 - y1}{x2-x1}[/tex]. Y1 is 5, Y2 is 3, X1 is 2, and X2 is -4. Plug these numbers in to get the equation [tex]\frac{5-3}{(-4)-2}[/tex]. 5-3 = 2. (-4)-2 = -6. This gives a slope of 2/-6, which can be reduced by dividing the numerator and denominator by 2 to get a final slope of -1/3.

Answer:

7

Step-by-step explanation:

The median is 7, if you place all the numbers in order then start crossing off the smallest and then largest number, you would be left with the number in the middle which is 7.

Answer:

7

Step-by-step explanation:

3, 3, 5, 7, 8, 9, 11

7 is in the middle.

Answer:

A) in Step 2

Step-by-step explanation:

Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.

answer = 70

top triangle

1/2 times 5 times 5 = 12.5

12.5 times 2 = 25

bottom

14 - 5 = 9

1/2 times 5 × 9 = 22.5

22.5 times 2 = 45

45 + 25 = 70

The area of the kite is [tex]70in^2[/tex]

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Given;

[tex]10_{14}=140[/tex] ÷ [tex]2=70[/tex]

[tex]70_2=140[/tex]

Therfore, the area of the kite is [tex]70in^2[/tex]

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Answer:

Mostly millimeter

Step-by-step explanation:

Length has several unit like m,cm, mm, feet, miles, inches, km etc

we measure the length in units which is more understandable or readable. like thickness of mobile is around 3mm to 1cm or we can even measure in inches like .5inch but if we measure it in meter or feet it will be difficult to understand, read and write similarly the unit of length most suitable for measuring the height of a backyard tree is meter or feet because the length of tree is around 10 feet to 25 feet or 2meter to 6meter if we measure the length in cm or mm or in inches then it will be difficult to understand, read and write.

Answer:

C. x = -1

Step-by-step explanation:

Here :

log 4 (x² + 1) = log 4 (-2x)

Then :

x² + 1 = -2x

x² + 2x + 1 = 0

(x + 1)² = 0

x + 1 = 0

x = -1

Based on the information above, the main argument of this paper is that violent video games should be banned for teenagers because they have negative effects on their behavior.

The excerpts focus on two main arguments which are:

According to the above, the claims and arguments would be as follows:

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The value of the constant of variation is 3. The correct option is the third option- 3

From the question, we are to determine the constant of variation.

Let the constant of variation be k

From the give information,

A quantity h varies directly with w and inversely with p

That is,

[tex]h \propto \frac{w}{p}[/tex]

Introducing the constant of variation, k, we get

[tex]h = k\frac{w}{p}[/tex]

Also, from the give information,

w = 4

p = 6

h = 2

Putting the parameters into the relation, we get

[tex]2 = k \times \frac{4}{6}[/tex]

[tex]6\times 2 = 4k[/tex]

[tex]k = \frac{6\times 2}{4}[/tex]

k = 3

Hence, the value of the constant of variation is 3. The correct option is the third option- 3

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Answer:

Answer is 3

Step-by-step explanation:

~Hope this helps!

Answer:

2106 m

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

32 - 5v = 3v + 8

Subtract V from both sides

So . .

= 32 -8v = 8

Now . .

Subtract 32 from both sides

Now divide to get your answer!

-24 / -8 = 3

Answer:

[tex]a = \frac{7b}{5} -11[/tex]