Don't forget! If you multiply or divide by a negative number, you must
flip the inequality symbol!

I need help with these 2 and ignite the 5 and 6 it’s the question number

Answer:

[tex]16x^{2}+44x+61[/tex]

Step-by-step explanation:

g(f(x)) means that you substitute f(x) as x in g(x)

[tex]2(2x+7)^{2}-(6)(2x+7)+5[/tex]

expand

(2x+7)(2x+7)=

4x^2+28x+49

(2)(2x+7)(2x+7)=16x^2+56x+98

16x^2+56x+98-12x-42+5

16x^2+44x+61

Answer:

1. The two decimals are 1.06 and 1.28. 2. The numbers 1.06 and 1.28 are both between 1 and 2.

Answer:

5x^2+10x+6

Step-by-step explanation:

dude its just 3 rooms. yes

Answer:

3 rooms

Step-by-step explanation:

For 1 1/4 rolls of electric wire = 1 room

For 3 3/4 rolls of electric wire = 3 3/4 ÷ 1 1/4

                                                 = 15/4 ÷ 5/4

                                                 = 15/4 x 4/5

                                                 = 15/5

                                                 = 3 rooms

Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

Step-by-step explanation:

sketch the mother function of |x| then go 3 steps to the right horizontally and that's it

Answer:

3

Step-by-step explanation:

base = 4-1

= 3

height = 3-1

= 2

Area = 1/2 (b)(h)

= 1/2 (3)(2)

= 3

therefore the answer is 3 square unit

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

Answer:

12/25 = 48/100 = .48 = 48%

Step-by-step explanation:

Answer:

The third side is 3.6

Step-by-step explanation:

Incomplete question;

The parameter from the complete question can be summarized as follows:

[tex]Side\ 1 =2[/tex]

[tex]Side\ 2 =3[/tex]

Required

Determine the third side (hypotenuse)

Let the third side be x;

So:

[tex]x^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]x^2 = 2^2 + 3^2[/tex]

[tex]x^2 = 4 + 9[/tex]

[tex]x^2 = 13[/tex]

Take square roots of both sides

[tex]x = 3.6[/tex]

Answer:

Alice - £124.62

Bernice - £290.77

Carol - £184.62

Step-by-step explanation:

Let the amount of money Alice has be a. This way, the sentence "The ratio of Alice’s money to Bernice’s money is 3:7." can be translated into a proportion:

Alice's money / Bernice's money = 3 / 7

We can substitute Alice's money with a, and cross multiply and solve for Bernice's money:

a / Bernice's money = 3 / 7

7a = 3(Bernice's money)

Bernice's money = 7/3 a

Now, we can represent Carol's money in terms of Alice's money, she has 60 more, or a + 60. We can create can equation to represent the total:

Alice's money + Bernice's money + Carol's money = total

We can plug in what we have and solve for a:

a + 7/3 a + a + 60 = 600

13/3 a = 540

a = 124.62

This means Alice has £124.62

Bernice has 7/3 a amount of money, so we can substitute the value of a to get Bernice has 7/3 (124.62), or £290.77

We can do the same for Carol who has 60 more, 124.62 + 60 is £184.62

Answer with Step-by-step explanation:

We are given that

[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]

x=-1

Using property of limit

[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]

=[tex](1+3-10)(3+5+4)[/tex]

=[tex](-6)(12)[/tex]

=[tex]-72[/tex]

[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]

[tex]g(-1)=(-6)(12)=-72[/tex]

[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]

Hence, the function is continuous at x=-1

Answer:

Step-by-step explanation:

Put in the 3 and 4 so it is the square root of 3^4 - -6^2

The square root of 3^4 + 6^2

The square root of 3^4 is 3^2 so

9 + 6^2

=> 9 + 36

=> 45

45 in numerals is XLV

Answer:

1152\pi\

Step-by-step explanation:

Answer:

18x

Step-by-step explanation:

If f(x) is 5x which can also be expressed 5(x)

Then r(x) is a number then x

f is the fifth digit in the alphabet

So fx is 5x

r is the 18 th letter so

18x

Answer:

8 : 27

Step-by-step explanation:

The ratio of the volumes is the ratio of the scale factor cubed

2^3 : 3^3

8 : 27

Answer:

8 : 27

Step-by-step explanation:

Given 2 similar cylinders with height ratio = a : b , then

ratio of volumes = a³ : b³

Here height ratio = 2 : 3

ratio of volumes = 2³ : 3³ = 8 : 27

Answer:

cos A =1.0

sin B=0.02

tan C=9.1

Answer:

Option(B) & Option(C)

Step-by-step explanation:

Right angled triangle (One angle is 90 degree)

Isosceles(Two sides of triangle are equal)

Answer:

(12 + 6) / (3 + 3) =  18 / 6 = 3

your answer is : (12 + 6) / (3 + 3)

Answer:

A

Step-by-step explanation:

A) 18/6 = 3

B) 12+5 = 17

C) (18 / 3) + 3 = 9

D) 12 +(6/6) = 13

Answer:

x-9.3 = 86.7

Step-by-step explanation:

Answer:

A weak positive correlation

Step-by-step explanation:

The table of values of the women's age to shoe size is presented as follows;

Women's Age and Shoe Size

[tex]\begin{array}{ccc} Age&&Shoe \, size\\18&&7\\30&&10\\52&&6\\64&&9\end{array}[/tex]

We get;

The correlation coefficient, r, is given as follows;

[tex]r = \dfrac{\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )}{\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}}[/tex]

From MS Excel, we have;

[tex]\sum \left(x_i - \overline x \right ) \cdot \left(y_i - \overline y \right )[/tex] = 2

[tex]\sqrt{ \sum \left(x_i - \overline x \right )^2 \cdot \sum \left(y_i - \overline y \right )^2}[/tex] = √13,000 = 10·√130

∴ r = 2/(10·√130) ≈ 0.01754

Therefore, given that the calculated correlation coefficient, r is positive and less than 0.2 (weak), we have

The correlation is a weak and positive.

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

Answer:

multiply the bottom equation by 6

Step-by-step explanation:

everything can be found in the picture

Answer:

w = - (7/2) z

Step-by-step explanation:

5w + 9z = 2z + 3w

Subtract 3w from both sides

2w + 9z = 2z

Subtract 9z from both sides

2w = -7z

Divide both sides by 2

w = - (7/2) z

There are 6 numbers on the cube.

The probability of getting a 3 would be 1 out of 6, 1/6

The probability of getting heads on a coin toss is 1/2

The probability of getting both a 3 and a head = 1/6 x 1/2 = 1/12

Answer: 1/12

Answer:

distance = 68 pie x

Step-by-step explanation:

Hope this helps

Answer:

g = 7

Step-by-step explanation:

3g - 4 = 17

+ 4 + 4

3g = 21

÷3 ÷3

g = 7

Answer:

g=7

Step-by-step explanation:

First add 17+4=21 to find out how much 3g needs to equal. 3g needs to get to 21. Next, do 21/3=7. g=7

Hope this helps!

Answer:

21600

Step-by-step explanation:

20000*1.2*.9=21600

Answer:

37.5% of the programs are targeted at adults

Step-by-step explanation:

The following figure shows the given four column table for the target audience of television programming

[tex]\begin{array}{lllc}&Television \ Programming \\& Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583& \approx 0.417&1.0\end{array}[/tex]

From the table, we have that the best description of the value 0.375 in the table is that the percentage of television program targeted at adults is 37.5%

Answer:

The answer is a “Given that the program was targeted at adults, there is a 37.5% chance that it was recorded”

Step-by-step explanation:

i did the test