Simplify -4(2x - 3) + 7 x – 1.​

Answer:

30 m³

Step-by-step explanation:

2 m x 3 m x 5 m= 30 m³

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

9.

h(x)=-x-1

let y =-x-1

interchanging role of x & y

x=-y-1

y=-x-1

h-¹(x)=-x-1

again

f(x)=(2-3x)/2

let

y=(2-3x)/2

interchanging role of x & y

x=(2-3y)/2

2x-2=-3y

y=(2-2x)/3

f-¹(x)=(2-2x)/3

Given function are not inverse of each other.

10.

f(x)=-x+3

let y=-x+3

interchanging role of x & y

x=-y+3

y=3-x

f-¹(x)=-x+3

equal to g(x)=-x+3

Given function are inverse of each other.

Answer:

Step-by-step explanation:

Call h(x) = y (It's easier to see).

y = -x - 1

The first step is always to interchange x and y

y = -x - 1

-x = y - 1

Solve for y

-x + 1 = y

If I understand the question, these two (f(x) and h(x)) are not inverses.

10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.

y = x + 3      

g = x + 3

x = y + 3

x - 3 = y

D) (0,4)

Correct on Edge 2021

The correct option is 4. (0,4)

Given inequalities are [tex]y\geq \frac{1}{2} x^{2} +4[/tex] and [tex]y< \sqrt{x+2}+6[/tex] .

Taking first inequality,

[tex]y\geq \frac{1}{2} x^{2} +4[/tex]

Or, [tex]y=\frac{1}{2} x^{2} +4[/tex]

now checking which option satisfy the above equation.

Taking option 1.(–2, 6)

on putting x= - 2 and y=6, we get

[tex]6= \frac{1}{2} (-2)^2+4[/tex]

[tex]6=6[/tex]

Hence option 1 (–2, 6) satisfy the equation.

Similarly checking for option 2 and 3 we find that these options totally not follow inequality, so option 3 and option 2 must not be the solution of given inequality.

Now option 4 (0, 4).

Putting x=0 and y = 4, we get

[tex]4=0+4\\4=4[/tex]

Hence option 4 also satisfy the first inequality.

Now we have two option to choose our final answer option 1 and option 4.

since option 4 lies in the shaded region so option 4 will be correct option.

Hence the correct option is 4. (0,4)

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Answer:

                            61

Step-by-step explanation:

Answer:

yards feet centimeters

Answer:

"0.0125" is the right solution.

Step-by-step explanation:

The given values are:

Random sample,

n = 90

Claims,

p = 20%

or,

  = 0.20

By using normal approximation, we get

⇒  [tex]\mu = np[/tex]

On substituting the values, we get

⇒      [tex]=90\times 0.20[/tex]

⇒      [tex]=18[/tex]

Now,

The standard deviation will be:

⇒  [tex]\sigma=\sqrt{np(1-p)}[/tex]

On putting the above given values, we get

⇒      [tex]=\sqrt{90\times 0.20\times (1-0.20)}[/tex]

⇒      [tex]=\sqrt{18\times 0.8}[/tex]

⇒      [tex]=\sqrt{14.4}[/tex]

⇒      [tex]=3.7947[/tex]

hence,

By using the continuity correction or the z-table, we get

⇒  [tex]P(x < 10) = P(x < 9.5)[/tex]

⇒  [tex]P(x < 10) = P(\frac{x-\mu}{\sigma} -\frac{9.5-18}{3.7947} )[/tex]

⇒  [tex]P(x < 10) = P(Z < -2.24)[/tex]

From table,

⇒  [tex]P(x < 10) = 0.0125[/tex]

Answer:

8yd×10yd=80yd

80yd÷2=40yd²

Step-by-step explanation:

Hope it helps :)

Answer:

Hello There!!

Step-by-step explanation:

You multiply the reciprocal which is 4 by 3 and that is 12.

Another method: 1/4 ÷3 (use KFC) so it is keep 3,flip the fraction so it is 4/1 them change the sign ÷ into multiplication so it is 3×4/1=12. Therefore,the answer is 12.

hope this helps,have a great day!!

~Pinky~

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

The similar pentagons

Required

Find x

To do this, we make use of any equivalent ratios.

In this case, we use:

[tex]KL : QR = KJ : QP[/tex]

Replace each of the above with the side lengths

[tex]4 : 7.2 = 5 : x[/tex]

Express as fractions

[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]

Cross multiply

[tex]4 * x = 5 * 7.2[/tex]

[tex]4x = 36[/tex]

Divide by 4

[tex]x = 9[/tex]

Answer:

Grade's of most student = 80% (Approx.)

Step-by-step explanation:

Given range:

Range of quiz = 60% to 100%

Find;

Grade's of most student

Computation:

⇒ Grade's of most student = Average grade

⇒ Average mean = Sum of observation / number of observation

⇒ Grade's of most student = [60 + 100] / 2

⇒ Grade's of most student = 160 / 2

Grade's of most student = 80% (Approx.)

Answer:

51

Step-by-step explanation:

Answer:

[tex]x + y\le 3000[/tex]

Step-by-step explanation:

Given

[tex]x \to booth[/tex]

[tex]y \to brochures[/tex]

[tex]Total = 3000[/tex]

Required

The inequality for this scenario

The total spending will not exceed the amount they have to spend; So, the inequality is:

[tex]x + y\le 3000[/tex]

Answer:

x1=

104

329+

329

2

−10816

x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=

104

329−

329

2

−10816

The sum of a number and its inverse is 3 29/52. Find the number?

x+1/x=329/52

x+1/x-329/52=0

solve the fraction

(\frac{(52x^{2} +52-329x)}{52x} =0

52x

(52x

2

+52−329x)

=0

52x^{2} +52-329x=052x

2

+52−329x=0

52x^{2} -329x+52=052x

2

−329x+52=0

using the quadratic formular

(-b+-√b^2-4ac) / 2a(−b+−√b

2

−4ac)/2a

x=\frac{329+-\sqrt{(329)^{2} -4*52*52} }{2*52}x=

2∗52

329+−

(329)

2

−4∗52∗52

x1=\frac{329+\sqrt{329^{2}-10816 } }{104}x1=

104

329+

329

2

−10816

x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=

104

329−

329

2

−10816

Answer:

a. subtract 6 from both sides

Step-by-step explanation:

Given the algebraic expression;

-5c + 6 = 4

First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.

-6 - 5c + 6 = 4 - 6

-5c = -2

5c = 2

Dividing both sides by 5, we have;

c = 2/5

Answer:

300a + 450b ≤ 6000

Step-by-step explanation:

Given:

Cost of electric mower = $300

Cost of gas mower = $450

Total number of mower = 25

Cost of total mower is at least = $6,000

Find:

Number of each mower equation

Computation:

Number of electric mower = a

Number of gas mower = b

So,

Equations

a + b ≤ 25 ........ Equation 1

300a + 450b ≤ 6000 .......  Equation 1

Answer:

-1 5

Step-by-step explanation:

Answer:

220 miles

Step-by-step explanation:

85-30=55

55/.25=220

220 = miles

Answer:

Equation:

30 + 0.25x = 85

Work:

30 + 0.25x = 85

85 - 30 = 55

55 / 0.25 = 220

Final answer:

200 miles

Step-by-step explanation:

Hope this helped and have a nice day!!!

Answer: 44.064

Step-by-step explanation:

Answer:

44.064

thats the answer

Answer:

3,984,896 rounded to the nearest hundred is 3,984,900

Answer:

A. (5, 9)

Step-by-step explanation:

Answer:

The data value that appears the most.

Step-by-step explanation:

In the data set 1,1,1,2,2,3,4,4 one would be the mode, as it is the number that appears the most.

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

Answer:

eeeee

Step-by-step explanation:

Problem 1

-----------------------

Explanation:

We have 5 males and 3 females, so there are 5+3 = 8 mice total. The probability of selecting a male is 5/8. After that male is chosen, there are 5-1 = 4 of them left out of 8-1 = 7 total. This subtraction happens because the first mouse selected is not replaced. The probability of picking another male is 4/7.

Multiplying these fractions leads to the answer

(5/8)*(4/7) = (5*4)/(8*7) = 20/56 = 5/14

Note: to reduce 20/56 into 5/14, you divide both parts by the GCF 4.

====================================================

Problem 2

-----------------------

Explanation:

The events "selecting two males" and "selecting at least one female" are complementary events. One or the other, but not both, must happen.

If we let

then we can say

P(A) + P(B) = 1

P(B) = 1 - P(A)

P(B) = 1 - (5/14)

P(B) = (14/14) - (5/14)

P(B) = (14-5)/14

P(B) = 9/14

Note how P(A) = 5/14 is the result from problem 1.

====================================================

Problem 3

-----------------------

Explanation:

The probability of selecting a male is 5/8. After the male is chosen, there are 8-1 = 7 mice left. The probability the second mouse is female is 3/7 since there are 3 female mice out of 7 left total.

We get this result after multiplying the values:  (5/8)*(3/7) = 15/56

Now consider that the first mouse is female. The probability of this is 3/8. The probability that the second mouse is male is 5/7.

The fractions multiply to (3/8)*(5/7) = 15/56. We get the same result as before due to the numerators swapping places, but not much else happens. So we have a sort of symmetry going on here.

The last step is to add the two results we got:

(15/56)+(15/56) = (15+15)/56 = 30/56 = 15/28

Or you could compute it like this

2*(15/56) = (2*15)/56  = 30/56 = 15/28

The '2' is to signify there are two ways to select exactly one male and exactly one female, where the order doesn't matter.

--------------------------

Here's another way we can get the answer.

The probability we get both males is 5/14 found back in problem 1.

The probability we get both females will follow the same idea as problem 1, and we would compute (3/8)*(2/7) = 6/56 = 3/28

Add those fractions:  (5/14) + (3/28) = (10/28) + (3/28) = 13/28

Now consider the events

Events C and D are complementary events.

We calculated that P(C) = 13/28, which means

P(D) = 1 - P(C)

P(D) = 1 - (13/28)

P(D) = (28/28) - (13/28)

P(D) = (28-13)/28

P(D) = 15/28

Answer:

Ellen is 8 Ft. and 5 In. away from Alice .

Step-by-step explanation:

By connecting the people like dots , you'd create a right triangle . The distance between Ellen and Alice would be the slant height .

To find the slant height , you could use the formula stated below .

Formula: A^2 + B^2 = C^2 .

A and B represent the distance between Porter between Ellen , as well as the distance between Porter and Alice . C represents the slant height , or how far Ellen is from Alice .

Substitute the variables with the given information and solve .

Substitution: 8^2 + 3^2 = 73 .

Simplify the final value by finding the square root of it .

√73 = 8.54400374532

As stated in the question , you should round the final value to the nearest tenth if necessary .

8.54400374532 ( Rounded ( Tenth ) = 8.5 Ft.

The rounded value would be 8.5 feet .

Answer:

Not true. Actually, 1 2/3 equals 5/3.

Answer:  No

Step-by-step explanation:

If we were to change 1 2/3 into an improper fraction, it would be 5/3.  This is expressed as 5:3, not 3:5.  These two ratios are not the same.  Therefore, Jill is not correct.

Hope this helped :)

10-2=8

So,Bob has 8 apples left

Answer:

8 apples

Step-by-step explanation:

10-2=8 apples

How many apples does Bob have ? Bob is left with 8 apples now.