Question in picture solve

Answer:

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Step-by-step explanation:

The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.

So,

Number of values = n = 7

Now,

[tex]Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..[/tex]

Rounding off to two decimal places

Mean income = £27928.57

Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:

[tex]Sum = 195500-79000 = 116500[/tex]

The mean without Deva's income is:

[tex]Mean = \frac{116500}{6} = 19416.6666..[/tex]

Rounding off to 2 DP

Mean = £19416.67

Hence,

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Answer:

.909 (ROUNDED)

Step-by-step explanation:

In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.

1914-174=1740

1740 was the amount they got last year

Now you want to find the percent difference between the two.

1740/1914=.909090 (Repeats)

So the percent increase would be

.909090

.101010

Answer:

14!

Step-by-step explanation:

3(2m-3)=5(m+1)

Step 1: 6m-9 = 5m + 5

Step 2 : Add 9 to -9 and 5

6m= 5m+14

Step 3: Subtract 5m from 6 and 14

Simplify!

m=14

Answer:

223

Step-by-step explanation:

hope it helps!!!!......

Answer:

223

Step-by-step explanation:

892 ÷ 4 = 223

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Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

Answer: n2+7n+15−5=5−5

n2+7n+10=0

Step 2: Factor left side of equation.

(n+2)(n+5)=0

Step 3: Set factors equal to 0.

n+2=0 or n+5=0

n=−2 or n=−5

Answer:

n=−2 or n=−5

Step-by-step explanation: hope that helps

b. the graph of f(x) is a horizontal stretch of the graph of the parent function.

The True statement is

The graph of f(x) is a horizontal stretch of the graph of the parent function.

In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).

We have,

f(x) = -2/3 |x+4| - 6

So, -2/3 |x+4| - 6 = 0

-2/3 |x+4| = 6

|x+4| = -9

so, the vertex is not (-4, 6).

Here the -6 in the function shows the horizontal stretch.

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Answer:

19.93

Step-by-step explanation:

If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.

Answer:

56

Step-by-step explanation:

Given that:

Number of girls = 3

Number of boys = 4

Each student makes 8 paper airplanes.

To find:

The total number of airplanes = ?

Solution:

There can be two ways to find the total number of airplanes.

Method 1:

Keep on adding the number of airplanes for each student.

There are a total of 3+4 = 7 number of students.

First student makes = 8 airplanes

Second student makes = 8 airplanes

Third student makes = 8 airplanes

Fourth student makes = 8 airplanes

Fifth student makes = 8 airplanes

Sixth student makes = 8 airplanes

Seventh student makes = 8 airplanes

Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56

Method 2:

Simply multiply number of airplanes each student makes with the number of students.

i.e. 8 [tex]\times[/tex] 7 = 56

Answer:

3x+14

Step-by-step explanation:

remove parenthses

6x+8-3x+6

3x+14

Answer:

3x+14

Step-by-step explanation:

2(3x+4)-3(x-2)

6x+8-3x+6

3x+14

Answer:

10

Step-by-step explanation:

each taco is 1.50$ 15$ divided by 1.50$ is 10

Answer:

He can buy 10 tacos with $15.

Step-by-step explanation:

You can do a cross multiplication process. Think in this way:

If he buys 4 tacos for $6, then how many tacos can he get in $15? When you do the cross multiplication process, you'll find that he can get 10 tacos with $15.

Answer:

scalene acute

Step-by-step explanation:

all side are different and all angles are acute

Answer:

The answer is scalene acute

Answer:

lesser x = -2/5

greater x = 5

Step-by-step explanation:

Answer:

-2/5 and 5

Step-by-step explanation:

i got khan

Answer:

it would take the adverage of 10 weeks for her to lose 5 pounds did that help?

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Distance: 8.6 miles; Bearing: 44.7 degrees East of North.

The distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.

When the three sides of a triangle is known, then to find any angle, the law of cosine is used.

It can be given as,

[tex]c^2=a^2+b^2-2ab\cos C\\a^2=c^2+b^2-2ab\cos A\\b^2=a^2+c^2-2ab\cos B[/tex]

Here, a,b and c are the sides of the triangle and A,B and C are the angles of the triangle.

A ship leaves port on a bearing of 20.2 degrees East of North and travels 6.5 miles. The ship then turns due East and travels 3.8 miles.

This problem is shown in the image. The distance of ship from initial point is,

[tex]c=\sqrt{6.5^2+3.8^2-{2\times6.5\times3.8\times\cos (110.2)}}\\c\approx8.6\rm\; miles[/tex]

The measure of the angle x is,

[tex]\angle x=\cos^{-1}\dfrac{8.6^2+3.8^2-6.5^2}{2\times8.6\times3.8}\\\angle x=44.7^o[/tex]

Hence, the distance of the ship which leaves port on a bearing of 20.2 degrees East of North is 8.6 miles and its bearing is 44.7 degrees East of North.

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Answer:

Step-by-step explanation: 12r-6+1= 12r-5

-8+12r+3= 12r-5

A and B

Answer:

4/1x plus 2

Step-by-step explanation:

Answer:

I need some numbers to do this problem

Step-by-step explanation:

Answer:

Depends on the height of the ball and I don’t see that

Step-by-step explanation:

Answer:

4.1, 4.14, 4 1/5, 17/4, 4.41

x will equal 30...set them equal to each other and solve from there

Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

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Answer:

4 months and 13 stamps

Step-by-step explanation:

Use a char, add two stamps each month for Joy and subtract 3 for Ronald.

Answer:

0.50+0.35x

Step-by-step explanation:

Answer:

0.5+0.35m

Step-by-step explanation:

The solution of the equation by the quadratic formula are, {±2/3, ±i}

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

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Answer:

x=3y-4

Step-by-step explanation:

3x+8=x+6y

so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.

2x+8=6y

now we want x alone on one side so we subtract 8 on both sides.

2x=6y-8

divide by 2

x=3y-4

Answer:

x = 3y - 4

Step-by-step explanation:

Given

3x + 8 = x + 6y ( subtract x from both sides )

2x + 8 = 6y ( subtract 8 from both sides )

2x = 6y - 8 ( divide all terms by 2 )

x = 3y - 4

Answer:

C. 6 + 0.2x

Step-by-step explanation:

6 + 1/5 x = 6 + 0.2x

Answer:

c

Step-by-step explanation:

even tho you called my question thicc..

Step-by-step explanation: The first thing you're going to probably

try to do here is to factor out a greatest common factor.

The problem is, there is no factor that is in common

to all three of these terms so you may think it's unfactorable.

However, this trinomial is in a special form.

We have an x squared term, an x term, and a constant term.

When a trinomial is in this form, it can be

factored as the product of two binomials.

So start by setting up two sets of parentheses.

Inside each set, we will have the two terms that compose each binomial.

So we have (    )(    ).

The first term is a factor of the x² term, x · x.

For the second term, we need factors of 12 that add to -7.

Since the middle term is negative, we use the negative factors of 12.

Notice that -4 and -3 add to -7 and multiply to be 12.

So our answer is (x - 4)(x - 3).