Solving systems of linear equations by substitution y= 2x-1 y = 3x +2

Answer:

a = 1

b = 2

k = -2

Step-by-step explanation:

Given:

[tex]\displaystyle \large{y=k(x-a)^2(x-b)}[/tex]

First, find the a-value and b-value by observing the graph. Notice that once the graph hits x = 1, it just goes up or concave up - that indicates to be the double roots of function. Therefore:

Our a-value is 1

Second, find the b-value. Another x-intercept beside double roots x = 1 is x = 2 as shown in the graph. Therefore:

Our b-value is 2

Third, find the k-value. Right now we have the equation:

[tex]\displaystyle \large{y=k(x-1)^2(x-2)}[/tex]

To find the k-value, simply find a point’s value (x,y) to substitute. According to the graph, you can try substitute (0,4) in:

[tex]\displaystyle \large{4=k(0-1)^2(0-2)}\\\displaystyle \large{4=k(-1)^2(-2)}\\\displaystyle \large{4=k(1)(-2)}\\\displaystyle \large{4=-2k}\\\displaystyle \large{k=-2}[/tex]

Therefore, the value of k is -2

Answer:

see explanation↓

Step-by-step explanation:

We are given the following equation of a line:

[tex]2x-4y=-20[/tex]

To determine the x-intercept we must set "y = 0":

[tex]2x-4(0)=-20[/tex]

[tex]2x=-20[/tex]

Now, we divide both sides by 2:

[tex]x=-\frac{20}{2}=-10[/tex]

Therefore, the "x" intercept is -10.

To determine the y-intercept we set "x = 0":

[tex]2(0)-4y=-20[/tex]

[tex]-4y=-20[/tex]

Now, we divide both sides by -4:

[tex]y=\frac{-20}{-4}=5[/tex]

Therefore the y-intercept is 5.

[tex]\sf Distance \ between \ points\sf : \ \ \ d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Option C

Let's look up at an example

Distance:-

Answer: 12

Step-by-step explanation:

     A straight line has a measurement of 180° so these two angles added together will equal 180°.

     (10x - 20)° + (6x + 8)° = 180°

     10x° + 6x° + 8° - 20° = 180°

     16x° -12° = 180°

     16x° = 192°

     x = 12

Supplementary angles

Using the normal distribution, it is found that there is a 0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 63.5, \sigma = 2.9[/tex].

The probability that a randomly selected 10th grade boy exceeds 70 in is one subtracted by the p-value of Z when X = 70, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 63.5}{2.9}[/tex]

Z = 2.24

Z = 2.24 has a p-value of 0.9875.

1 - 0.9875 = 0.0125.

0.0125 = 1.25% probability that a randomly selected 10th grade boy exceeds 70 in.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

Sin 21 = p/b

0.358 = 5.5 / x

x = 5.5 / 0.358

therefore , x = 6.97

Step-by-step explanation:

Use sin formula

which is perpendicular/ base

just put the value

Answer:

12 cm²

Step-by-step explanation:

Area of triangle: bh/2 = (2)(3)/2 = 3

Area of square: bh = (2)(3) = 6

Total area of the shape = 2 triangles + 1 square

Total area = 2(3) + 6 = 12 cm²

I hope this helps!

Answer:

12

Step-by-step explanation:

You can find the area of the shape 2 different ways.

I'll show you both ways.

First Way: find the area of each individual shape that makes it up then add them together

We can find the area by finding the area of the rectangle and then the two triangles and then adding the two multiples together

Area of a rectangle = length × width

Length = 3 and width = 2

So area = 3 × 2 = 6

Now to find the area of the triangles

Area of a triangle = 1/2bh

Where b = base length and h = height

The base length is 2 and the height is 3

So area = 1/2 × 2 × 3 = 3

There are two triangles and they both have the same dimensions

So the area of both triangles = 2 × 3 = 6

Finally we add the areas together to get the total area

Total Area = 6 + 6 = 12cm²

Second way : Use the area of a trapezoid formula:

The shape shown is a trapezoid so we could also use the area of a trapezoid formula.

Formula : [tex]A=\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

The base lengths appear to be 2 and 6 and the height is 3

So a = 2 , b = 6 and h = 3

Which means [tex]A=\frac{2+6}{2} 3[/tex]

Simplify addition

[tex]A=\frac{8}{2} 3[/tex]

simplify division

A = (4)3

Then multiply
A = 12cm²

Answer:

False, it would actually be 106 beads. If this was a multiplication problem, that would also be false, because 6 times 100 is 600, not 350.

But let's attempt to make this statement true.

First/Last step: Find the missing beads.

The missing beads are 144.

Why?

Because you must add 144 to reach 250, there is no other way but to multiply. In this case, because the key word is, "In all" we are adding.

Answer: 47/90

Step-by-step explanation:

3/10+2/9=47/90 somehow ig

Answer: 75 degrees

Step-by-step explanation:

Answer:

[tex]< \frac{40}{49} , \frac{9}{49} >[/tex]

Step-by-step explanation:

Answer:

B. 12 ÷ 13

Explanation:

Answer:

Taking like terms ( i.e. terms with same variables ) to left side and constant terms ( i.e. simple numbers ) to right side . .

Answer:

x = 9

Step-by-step explanation:

#1) Simplify each side.

#2) Bring x terms to the left side and numbers to the other side.

#3) Divide both sides by 4.

Answer:

[tex] {6}^{3 } [/tex]

Step-by-step explanation:

[tex] {6}^{5 - 2 } \\ {6}^{3} [/tex]

Answer:

Step-by-step explanation:

Number of students in electronics, 1/4 of the total

Number of students in architecture, 1/6 of the total

The difference is

Answer:

The answer is 86000

Step-by-step explanation:

This is because if she gets 4000 each yhear then that 4000 times 6 which is 24000. then you add that to the 62000 she initially got and you get youre answer, 86000.

Answer:

7AM was 8PM for a few days but 3the 3only 3and 3and 3and 3was is a little too much to me because I am not a fan of the cold and cold 4th

Answer:

  (d)  Three pizzas are shared equally among zero people, and you want to know how much each person gets.

Step-by-step explanation:

You want to know which pizza sharing problem has no solution for the amount each person gets:

The amount of pizza each person gets is found by dividing the number of pizzas by the number of people:

The problem of dividing 3 pizzas among 0 people has no solution.

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[tex](2x - 1) (x + 3) - (x + 1) (2x - 3) \\\\=(2x^2+6x -x -3)-(2x^2-3x +2x -3)\\\\=(2x^2 +5x -3)-(2x^2-x -3)\\\\=2x^2+5x -3 -2x^2+x+3\\\\=6x[/tex]

Answer:

x > -2.

Step-by-step explanation:

Starts at x = -2 then carries on without bounds.

Answer:

x > –2

Step-by-step explanation:

The answer above is correct.

Answer:

145 degrees.

Step-by-step explanation:

It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35

Answer:

x=3 and y=4

Step-by-step explanation:

x+y=7;x+2y=11

Step: Solvex+y=7for x:

x+y=7

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxinx+2y=11:

x+2y=11

−y+7+2y=11

y+7=11(Simplify both sides of the equation)

y+7+−7=11+−7(Add -7 to both sides)

y=4

Step: Substitute4foryinx=−y+7:

x=−y+7

x=−4+7

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=4

Answer:

Step-by-step explanation:

This is a parabola shaped like a U.

The minimum value is at (-2, -3).

Find the zeroes:

(x + 2)^2 = 3

Find the zeroes:

x + 2 = +/- √3

x = +/-√3 - 2

x = -0.27, -3.73.

So the graph cuts the x axis at (-0.27, 0)  and (-3.73, 0)

when x = -4 , f(x) = 1 and when x = 1,  f(x) =  6.

So you can now draw the curve through these 5 points and it will be shaped like a U, symetrical about the line x = -2

Answer:

UV = 10

Step-by-step explanation:

VX is a perpendicular bisector of the base UW , then Δ UVW is isosceles with the 2 legs being congruent , that is

UV = VW = 10

Answer:

5.0344

Step-by-step explanation:

tan=opposite

      adjacent

Since you're trying to find the adjacent side to the angle 50, use tan.

So tan 50º= 6/x

Swap x and tan 50º , which puts tan 50º under the 6.

Use your calculator to find the approximate value of tan 50º (rounded to 4 decimals)

Then divide!

Step-by-step explanation:

[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]

Answer:

65

Step-by-step explanation:

Answer:

75 physiology Textbook was sold and 150 sociology textbook was sold

Step-by-step explanation:

Let x represent textbook

2x + x = 225

⇒3x = 225

⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]

⇒x = 75

75 textbooks for physiology

To find How many textbook for sociology

Multiply 2 by the amount of physiology

⇒2 × 75

⇒150 sociology textbook