Find x.... Figure is not drawn to scale.

Answer:

17/3 or 5 and 2/3

Step-by-step explanation:

All you have to do to find a reciprocal of a fraction is swap the numerator and denominator. If it is a whole number, then that number will be under 1.

Answer:

1) Slope; -10

Y-intercept; (0,60)

Equation; y=−10x+60

2) Slope;-1/2

Y-intercept; (0,0)

Equation; y=−1/2x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

Answer:

1.)

slope: -10

y-intercept: 60

equation: [tex]y=-10x+60[/tex]

2.)

slope: [tex]-\frac{1}{2}[/tex]

y-intercept: 0 (the line passes through the origin)

equation: [tex]y=-\frac{1}{2} x[/tex]

Explanation:

To find your slope you can use the equation [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex], plugging in the designated numbers from two ordered pairs you select from the chart.

Your y-intercept is the value found at y whenever x is equal to 0.

For your equation, you simply place your slope in front of x and add on your y-intercept.

Answer:

Scale = ¼

Step-by-step explanation:

See attachment for complete question.

In the attached, we have.

Width = 4 units. ----- Orange

Width = 16 units ------- Black

Required

Determine the scale of dilation

The scale of dilation can be calculated as:

Scale = Width(orange)/Width (black)

Scale = 4/16

Scale = ¼

Hence, the scale of dilation is ¼

Answer:

a =

✔ 310

b =

✔ 250

c =

✔ 60

d =

✔ 60/250

e =

✔ 24%

Step-by-step explanation:

Answer:

[tex]A = 34\frac{1}{3}[/tex]

[tex]B = 72\frac{2}{3}[/tex]

[tex]C = 73[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]B = 4 + 2A[/tex]

[tex]C = 3A - 30[/tex]

Required

Solve for A, B and C

Since the shape is a triangle,

[tex]A + B +C = 180[/tex]

Substitute [tex]B = 4 + 2A[/tex] and [tex]C = 3A - 30[/tex] in [tex]A + B +C = 180[/tex]

[tex]A + 4 + 2A + 3A - 30 = 180[/tex]

Collect Like Terms

[tex]A + 2A + 3A = 180 + 30 - 4[/tex]

[tex]6A = 206[/tex]

Solve for A

[tex]A = 206/6[/tex]

[tex]A = 34\frac{1}{3}[/tex]

Substitute [tex]A = 34\frac{1}{3}[/tex] in [tex]B = 4 + 2A[/tex]

[tex]B = 4 + 2 * 34\frac{1}{3}[/tex]

[tex]B = 4 + 2 * \frac{103}{3}[/tex]

[tex]B = 4 + \frac{206}{3}[/tex]

[tex]B = \frac{12 + 206}{3}[/tex]

[tex]B = \frac{218}{3}[/tex]

[tex]B = 72\frac{2}{3}[/tex]

Substitute [tex]A = 34\frac{1}{3}[/tex] in [tex]C = 3A - 30[/tex]

[tex]C = 3 * 34\frac{1}{3} - 30[/tex]

[tex]C = 3 * \frac{103}{3} - 30[/tex]

[tex]C = 103 - 30[/tex]

[tex]C = 73[/tex]

Answer:

4x^2+19x-47

Step-by-step explanation:

(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)

=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35

=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)

= 4x^2+19x-47

Hope this helps!

The given expression after simplifying 4x^2+19x-47.

We have given the following expression

[tex](4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)[/tex]

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

[tex]=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35[/tex]

[tex]=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)[/tex]

[tex]= 4x^2+19x-47[/tex]

The given expression after simplifying 4x^2+19x-47.

To learn more about the expression visit:

https://brainly.com/question/723406

#SPJ2

Answer:

169

Step-by-step explanation:

9 + 10 × 2 × 8

9 + ( 10 × 2 × 8)

9 + (20×8)

9 + 160

169

Answer:

2, 4, 6, 8, 10, 12, 14

Step-by-step explanation:

8+8=16

6+10=16

4+12=16

2+14=16

Answer:

3.75

Step-by-step explanation:

you can search this up going like 75% of 15 and it will give the answer before you hit enter

Answer:

12

Step-by-step explanation:

[tex]5(x - 3) + 11 = 4(x + 2) \\or \: 5x - 15 + 11 = 4x + 8 \\ or \: x = 12[/tex]

Answer:

C. [tex]x^2y[/tex]

Step-by-step explanation:

Given the expression [tex](x^4y^2)^{\frac{1}{2} }\\[/tex]

Using the law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](x^4y^2)^{\frac{1}{2} }\\\\= (x^4)^{\frac{1}{2}} (y^2)^{\frac{1}{2} }\\= x^{4*1/2}y^{2*1/2}\\= x^{2}y[/tex]

Hence the correct answer is [tex]x^2y[/tex]

Answer:

2 & 5

Step-by-step explanation:

Answer:

It's 1 and 4

Step-by-step explanation:

Because the arrow is going to the left so that means x is less than -4 and those equations show that

Answer:

See Explanation

Step-by-step explanation:

[tex] \sec \: x - cos \: x = \sin \: x \tan \: x \\ \\ LHS = \sec \: x - cos \: x \\ \\ = \frac{1}{ \cos x} - cos \: x \\ \\ = \frac{1 - { \cos x}^{2} }{ \cos x} \\ \\ = \frac{ { \sin x}^{2} }{ \cos x} \\ \\ = \frac{ \sin \: x \times \sin x}{ \cos x} \\ \\ = \sin x \: tan x \\ \\ = RHS \\ \\ thus \: proved \\ [/tex]

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

Answer:

ok

Step-by-step explanation:

Answer:

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

Answer:

Expectation is equal to 4.75

Variance is equal to 3.02

Step-by-step explanation:

Consider the attached image.

Let [tex]x_i[/tex] denotes each of the outcome.

Expectation [tex]=E(X)[/tex] = ∑[tex]x_if(x_i)[/tex]

[tex]=1(\frac{1}{12}) +2(\frac{1}{12}) +3(\frac{1}{12}) +4(\frac{1}{12}) +5(\frac{1}{12}) +6(\frac{7}{12})[/tex]

[tex]=\frac{1}{12}+\frac{2}{12}+\frac{3}{12}+\frac{4}{12}+\frac{5}{12}+\frac{42}{12}\\\\=\frac{57}{12}\\\\=4.75[/tex]

[tex]E(X^2)=[/tex] ∑ [tex]x_i^2f(x_i)[/tex]

[tex]=1^2(\frac{1}{12}) +2^2(\frac{1}{12}) +3^2(\frac{1}{12}) +4^2(\frac{1}{12}) +5^2(\frac{1}{12}) +6^2(\frac{7}{12})[/tex]

[tex]=(\frac{1}{12}) +4(\frac{1}{12}) +9(\frac{1}{12}) +16(\frac{1}{12}) +25(\frac{1}{12}) +36(\frac{7}{12})\\\\=\frac{307}{12}[/tex]

Variance  [tex]=E(X^2)-[E(X)]^2[/tex]

[tex]=(\frac{307}{12})-(\frac{57}{12})^2\\\\ =\frac{307}{12}-\frac{3249}{144}\\\\ =\frac{3684-3249}{144}\\\\ =\frac{435}{144}\\\\ =3.02[/tex]

Answer:

i think a,c,e

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Answer:

690 km will take it.for good condition

Step-by-step explanation:

mark me BRAINLIEST

Step-by-step explanation:

y+6 = (1/3)(x -9)

y+6 = x/3 - 9/3

y=x/3 -3 -6

y = x/3 -9

Answer:

Step-by-step explanation:

Slope-intercept form : y=mx+b

[tex]y+1 = 4(x - 1)[/tex]

Expand :

[tex]4(x-1) =4x -4\\\\y+1 =4x-4[/tex]

Collect like terms and simplify

[tex]y=4x -4-1\\\\y=4x -5[/tex]

false false false false false

Answer:

no the first on is true and the last one is false

Step-by-step explanation:

Answer:

C. 60

Step-by-step explanation:

They all have a multiple f 60.

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

400*.25=100

400-100=300

Hope this helps!!

Answer:

[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x = \frac{1}{3} ( x - 1)\\\\ \\\frac{4}{3}x - \frac{4}{3} - \frac{2}{3} = \frac{4}{3} ( x - 1)\\\\( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3}) = -\frac{1}{3} ( x + 2)\\\\(\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} ) = \frac{1}{3} ( 4x - 1 )[/tex]

Step-by-step explanation:

Simplify each equation by combining like terms, and then factoring

[tex]\frac{2}{3} x + \frac{1}{3} - \frac{1}{3} x[/tex]

= [tex]\frac{1}{3} x + \frac{1}{3}[/tex]

= [tex]\frac{1}{3}[/tex] ( x + 1)

[tex]\frac{4}{3}x - \frac{4}{3} - \frac{2}{3}[/tex]

= [tex]\frac{4}{3}x - \frac{6}{3}[/tex]

= [tex]\frac{4}{3}[/tex] ( x - 1 )

[tex]\ ( \frac{1}{3} x + \frac{2}{3} ) + ( -\frac{2}{3}x - \frac{4}{3})[/tex]

=[tex]-\frac{1}{3}x - \frac{2}{3}[/tex]

=[tex]- \frac{1}{3} x[/tex] ( x + 2)

[tex]\ (\frac{2}{3}x + \frac{1}{3} ) + (\frac{2}{3} x - \frac{2}{3} )[/tex]

= [tex]\ \frac{4}{3}x - \frac{1}{3}[/tex]

= [tex]\(\frac{1}{3}[/tex] ( 4x - 1)

Answer:

Step-by-step explanation:

[tex]1)\frac{2}{3}x + \frac{1}{3}-\frac{1}{3}x = \frac{2}{3}x-\frac{1}{3}x +\frac{1}{3}\\\\\\=\frac{(2-1)}{3}x+\frac{1}{3}\\\\\\=\frac{1}{3}x+\frac{1}{3}\\\\\\=\frac{1}{3}(x+1)[/tex]

[tex]2) \frac{4}{3}x-\frac{2}{3}-\frac{2}{3}=\frac{4}{3}x + \frac{(-2-2)}{3}\\\\\\[/tex]

                    [tex]=\frac{4}{3}x -\frac{4}{3}\\\\\\=\frac{4}{3}(x-1)[/tex]

[tex]3) (\frac{1}{3}x+\frac{2}{3})+(\frac{-2}{3}x-\frac{4}{3})=\frac{1}{3}x-\frac{2}{3}x+\frac{2}{3}-\frac{4}{3}[/tex]

                                     [tex]= \frac{-1}{3}x-\frac{2}{3}\\\\\\=\frac{-1}{3}(x+2)\\[/tex]

4) [tex](\frac{2}{3}x +\frac{1}{3})+(\frac{2}{3}x-\frac{2}{3})=\frac{2}{3}x+\frac{2}{3}x+\frac{1}{3}-\frac{2}{3}[/tex]

                                    [tex]=\frac{4}{3}x-\frac{1}{3}\\\\\\=\frac{1}{3}(4x-1)[/tex]

Answer:

x = 5 + 5y/4

Step-by-step explanation:

I think its like this: 4x - 5y = 20

Add 5y to both sides: 4x = 20 + 5y

Divide both sides by 4: x = 20/4 + 5y/4

Simplify: x = 5 + 5y/4

I'm pretty sure it is like this

Hope this helps!

Answer:

Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg

Step-by-step explanation:

22.5 is 1/3 of 67.5

so compliment is 67.5.

Supplement is just adding another angle so I chose 7.

I did 22.5 x 7 = 157.5

Another example would be:

Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)

Hope this helps :)

Answer:  see below

Step-by-step explanation:

I'm not sure exactly what you are asking for but here is what the box plot tells you:

Minimum is 17 items.

Q1 (Lower Quartile) is 22 items. So, 25% of the customers bought 22 items.

Q2 (Median) is 32 items. So, 50% of the customers bought 32 items.

Q3 (Upper Quartile) is 35 items, So, 75% of the customers bought 35 items.

Maximum is 62 items.

The data is "heavier" on the right so it is skewed left.

Range is 62 - 17 = 45

IQR (Interquartile range) is Q3 - Q1 = 35 - 22 = 13