find the root of 6x^2+13×+6=0 using graphical method of quadratic equation​

Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓

15=3/8x (let x be the number)

Multiply by 8 on both sides to get rid of the fraction :

15*8=3x

120=3x

divide by 40 on both sides ↓

40=x

hope helpful ~

[tex]❖\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \: \dfrac{32 {a}^{8} {b}^{6} - 12 {a}^{5} b {}^{4} {c}^{2} }{4a {}^{3}b {}^{3} }[/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{ \cancel{4 {a}^{3} b {}^{3} }(8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}) }{ \cancel{4a {}^{3}b {}^{3}} }[/tex]

[tex]\qquad \tt \dashrightarrow \: 8{a}^{5} {b}^{3} - 3{a}^{2} b {}^{} {c}^{2}[/tex]

Answer:

-_-

Step-by-step explanation:

[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} - {12a}^{5} {b}^{4} {c}^{2} }{ {4a}^{3} {b}^{3} } }[/tex]

[tex] \displaystyle{ \frac{32 {a}^{8} {b}^{6} }{ {4a}^{3} {b}^{3} } - \frac{12 {a}^{5} {b}^{4} {c}^{2} }{4 {a}^{3} {b}^{3} } }[/tex]

[tex] \displaystyle{ 8 {a}^{5} {b}^{3} - 3 {a}^{2} {c}^{2} }[/tex]

We will see that we can write the function I(x) as:

I(x) = x + 1/2.

We know that I(x) is a vertical dilation of scale factor 1/2 of P(x), where:

P(x) = 2x + 1.

The vertical dilation will be written as:

I(x) = (1/2)*P(x).

If we replace P(x) by the actual function, we will get:

I(x) = (1/2)*(2x + 1) = x + 1/2.

Then we can conclude that the function I(x) is:

I(x) = x + 1/2.

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Answer:

I(x)=x+1

i got it right on a quiz

Answer:

(d) 1 / 2^8

this is the answer

both equations answers are kind of same, so (d) is the answer for your question

if this helped you please brainliest?

Answer:

A

Step-by-step explanation:

using the rule of exponents

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

[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A

135in.^2

Step-by-step explanation:

split into 2 shapes :

Triangle

A=bxh/2

= 5 x 6/2

= 15

Rectangle

A=bxh

= 20x6

= 120

120+15=135in.^2

Hope this helps!

Answer:

139

Step-by-step explanation:

14+14+28+33+33+17 = 139

Answer: 150 feet

Step-by-step explanation:

bottom blank = top sides added

bottom blank = 14 + 33 = 47

missing right piece is left side and right side subtracted

missing right piece = 28 - 17 = 11

add all sides

28 + 14 + 11 + 33 + 17 +47 = 150

150 feet = perimeter

Answer:

Answer:

d--22→ 28

d→ 50

Step-by-step explanation:

Let d dollars be the initial amount in your bank account.

We have been given that you spent $22, so the amount left after spending $22 will be: .

We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.

We can represent this information in an equation as:

Therefore, the inequality represents the initial amount of money you had.

Now let us solve for d by adding 22 to both sides of our inequality.

Therefore, initially you had at least $50.

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

brain less

Answer:

8 is between 2 and 3 but closer to 3

80 is between 8 and 9 but closer to 9

140 is between 11 and 12 but closer to 12

88 is between 9 and 10 but closer to 9

250 is between 15 and 16 but closer to 16

Step-by-step explanation:

Hope this helps :)

Answer:

x = 3, y = -2

Step-by-step explanation:

Solving the bottom equation for y, we have y = 4 - 2x. Substitute that into the top equation, and solve for x.

4x - 3(4 -2x) = 18

4x - 12 + 6x = 18

10x - 12 = 18

10x = 30

x = 3

From this, we have y = 4 - 2(3) = 4 - 6 = -2

Answer:

The answer would be (2,3) or you can find the answer in desmos

Step-by-step explanation:

You can input the coordinates in Desmos graphing calculator for the graph

Answer:

= -0.5

Step-by-step explanation:

Slope:

(y2-y1/x2-x1)

Plug in:

(0,1), (-2,2)

2-1/-2-0

-1/2

= -0.5

Answer:

y = 2x - 4

Step-by-step explanation:

y = ax + b

a = slope

b = y-int

so, in y = 2x - 4

a = slope = 2

b = y-int = -4

It's C promise me it's C.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The general strategy for solving the equation in form of :

[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{a} = b[/tex]

is to multiply both sides by a, because if we multiply both sides by a, then a on left side get cancel out and we get the value of x in terms of a and b.

so, correct choice is C. multiply both sides by a

Best way is multiply with a

By which x gets isolated

Let's check how?

Answer:

512.

Step-by-step explanation:

First there is 111, 222  ......   888.

There are 8 of these.

Then there are the number of ways you can arrange numbers when 2 of them are the same

= 8P3/2

= 168

Finally if all numbers are different the number of ways

= 8P3 = 336

Answer is 8 + 168 + 336

= 512.

Answer:

P= 2(3W + 7) + 2(W) = 110.

                         P= 6W + 14 + 2W = 110.

                           = 8W + 14 = 110.

                           = 8W = 110 - 14 = 96

                                 W = 96/8 = 12- inches.

Now solve for (L) by L = 3W + 7 = 3(12) + 7 = 36 + 7 = 43- inches

7=43 inches if this help.can u mark me brainliest

The width of the rectangle is 12 inches and the length is 43 inches.

The perimeter is defined as the sum of all the sides of the figure. It is given that the length of a rectangle is eight more than triple the width and the perimeter is 168 inches.

The length and the width are calculated as:-

P= 2(3W + 7) + 2(W) = 110.

6W + 14 + 2W = 110.

8W + 14 = 110.

8W = 110 - 14 = 96

W = 96/8 = 12 inches.

Now solve for (L) by

L = 3W + 7 = 3(12) + 7

L = 36 + 7 = 43 inches

Hence, the width is 12 inches and the length is 43 inches.

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Answer:

4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Step-by-step explanation:

The information that we know is...

- Michael purchased four pairs of socks.

-  After utilizing a $2 off coupon, he spent $7.16.

We're expected to figure out what formula we should apply to get the standard price of a pair of socks so...

We start by writing 4p.

4 represents a pair of socks, and p represents the normal price of socks.

4p - 2

Then subtract 2 since he utilized a $2 off coupon.

4p - 2 = 7.16

Lastly, add = 7.16 because he paid in total $7.16.

So, 4p - 2=7.16 is a formula that can be used to determine the standard price of a pair of socks.

Hope this helps! :D

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

Answer:

8995{c-(-12)4} valva a 2 b 5 c -7

1&5<y x=(2,0)

The correct option C which is true for the given form of the sine curve f(x) = –2sin(x) – 3.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

The general form of the sine curve is given as

f(x) = –2sin(x) – 3

A.

Since this curve's A is -2, its amplitude is 2 and its range is from -2 to 2. but since the D value is -3, it shifts vertically 3 units down making the range from -1 to -5. Choice A is not true.

B.

This graph is the graph of shifted 3 units down since D is negative. This choice isn't true.

C.

Because of the (minus) sign in front of the function, the function is reflected on the x-axis, but the amplitude doesn't change. Since A value is 2, the amplitude is 2. This is true.

D.

The period depends on the B value. Here, the B value is 1, so the period is normal as the parent function of a sine curve, which is, not. So this is not correct.

Therefore, C is the correct answer.

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Answer: C. The amplitude of the function is 2.

Step-by-step explanation:

Answer:

165 cm³

Step-by-step explanation:

330 cm³ × 1/2 = 165 cm³

Answer:

Zahra cannot make a triangle with these angle measures.

Step-by-step explanation:

[tex]\stackrel{R}{(\stackrel{x_1}{8}~,~\stackrel{y_1}{-8})}\qquad \stackrel{S}{(\stackrel{x_2}{4}~,~\stackrel{y_2}{7})}~\hfill \stackrel{\textit{component form}}{(x_2-x_1~~,~~y_2-y_1)} \\\\[-0.35em] ~\dotfill\\\\ (4-8~~,~~7-(-8))\implies (-4~~,~~7+8)\implies \stackrel{\textit{component form}}{(\underset{a}{-4}~~,~~\underset{b}{15})} \\\\\\ ||RS||=\sqrt{a^2+b^2}\implies ||RS||=\sqrt{(-4)^2+15^2}\implies ||RS||=\sqrt{241}[/tex]

Answer:

Step-by-step explanation:

The student used the commutative property of addtion on the right hand side, which is correct because reordering the addends doesn't affect the value of the expression.

The student used additive commutative property for the first step.

According to this property, when two numbers or integers are added, the sum remains the same even if we change the order of numbers/integers. This property is also applicable in the case of multiplication. It can be represented as; a + b = b + a.

The student used a + b = b + a

3a + b = 2 + 7 - 5a = 2 - 5a + 7

Because add two numbers, exchange the position of the addend, and sum of them remain same.

This is a additive commutative property.

Hence, the student used additive commutative property for the first step.

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Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

-4x - 4y = -2 <== add 4x to both sides

+4x         +4x

-4y = 4x - 2 <== divide both sides by -4

/-4      /-4

y = -x + 1/2

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

Answer:

Parallel line:

-1

Perpendicular line:

1

Step-by-step explanation:

Let's simplify first!

-4x-4y=-2

-4x=-2+4y

4y=-4x+2

y=-x+0.5

For a parallel line, the slope should be the same

Therefore...

Slope=1

For a perpendicular line, the slope should be the negative reciprocal of the original.

Therefore...

Slope=-(-[tex]\frac{1}{1}[/tex])

=1

Hope this helps! :D

Answer:

100.5309649149

Step-by-step explanation:

circumference = 2π(r)

Since you already have the radius of the circle, you would have to multiply the radius by 2 to get the diameter which is the full width of the circle . Then, multiply the result by π, or 3.14 and then round how you are asked to.

Answer:

10/20 or 1/2 it is 50% chance that she pass and 50% that she fail

Step-by-step explanation:

The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.

The probability of guessing correctly on any individual question is 0.5 (50%).

If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.

The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:

[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]

For k = 10 (minimum number of correct answers to pass):

[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]

P(X = 10) = 0.176197052

So, the probability is 0.176 or about 17.6%.

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Answer:

A+B=C

Step-by-step explanation:

[tex]a + b {15}^{2} [/tex]

Answer:

It's 59

Step-by-step explanation:

There congruent so they would equal the same amount.