Factorise fully the following:
a) 3x + 18
b) 2x - 14
c) 6x + 4
d) 9x - 15

Answer :10X

Step-by-step explanation:

Answer:

x = 10

12 logx= 12

12 x logx = 12

12 x log10 = 12

12 x 1 = 12

Answer:

g(x) = (x -39)^2 +74

Step-by-step explanation:

Given f(x)=x^2, after performing the following transformations: shift upward 74 units and shift 39 units to the right, the new function g(x) = (x -39)^2 +74

In mathematics, a transformation is a feature f, typically with a few geometrical underpinnings, that maps a fixed X to itself, i.e. f: X → X.

What are the 4 transformations in maths?

Learn more about transformations here https://brainly.com/question/4289712

#SPJ2

Answer:

y = [tex]-\frac{7}{8}[/tex]x + 4

Step-by-step explanation:

-32 = -7x - 8y

Slope-intercept: y=mx+b

First, we can add 8y on both sides so we can get u by itself.

8y - 32 = -7x

Now, we can add 32 to both sides.

8y = -7x + 32

Now, we divide 8 on both sides of the equation so we can get y by itself just like in the slope-intercept formula.

y = [tex]\frac{-7}{8}[/tex]x + [tex]\frac{32}{8}[/tex]

Lastly, we can simplify and you will have your answer.

y = [tex]-\frac{7}{8}[/tex]x + 4

Answer:

The price of one gallon of gasoline is $3.15

Step-by-step explanation:

If the lady buys 2.4 gallons of gasoline for a total of $7.56, then as the problem suggests, one can find the unknown price of gasoline per gallon (p) by solving the equation for the unknown "p":

2.4  p = 7.56

then divide both sides by 2.4 to isolate the unknown "" on one side of the equal sign:

p = 7.56/2.4

p = $3.15

so this is the price per gallon of gasoline.

Answer:

The missing side = 30 cm

Step-by-step explanation:

Pythagorean Theorem

a^2 + b^2 = c^2

40^2 + b^2 = 50^2

1600 + b^2 = 2500

-1600             -1600

b^2=900

square root of both sides

b=30 cm

Answer:

Yes, 51 is an outlier.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

8 o-clock

Step-by-step explanation:

Answer:

19657

Step-by-step explanation:

[tex]2\cdot 10^4 - 7^3=20000-343=19657[/tex]

Hope this helps!

Answer:

x =5

y = 35

Step-by-step explanation:

y = 7x

y = 3x+20

Since they both equal y, we can set them equal to each other

7x = 3x+20

Subtract 3x from each side

7x-3x = 3x+20-3x

4x= 20

Divide each side by 4

4x/4 =20/4

x = 5

Now find y

y = 7x

y = 7(5)

y = 35

Answer:

1:5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:

[tex]16 ^{1/2} * 2^{-3}[/tex]

Simplifying:

=> [tex]4 * \frac{1}{2^3}[/tex]

[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]

The answer is 1/2.

Answer:

2x + 3y ≤ 25

Completed question;

At local florists shop, yellow roses cost $2 and red roses cost $3. Steven wants to spend no more than $25 on a bouquet that includes both yellow and red roses. Let "x" represent the number of yellow roses and let "y" represent the number of red roses.

Represent the case with an equation.

Step-by-step explanation:

Given;

Cost of yellow roses = $2

Cost of red roses = $3

Maximum cost he can spend = $25

Let "x" represent the number of yellow roses

let "y" represent the number of red roses.

The total cost of yellow roses = 2 × x = 2x

The total cost of red roses = 3×y = 3y

Total = 2x + 3y

The equation for this case can be written as;

2x + 3y ≤ 25

Answer:

The Quantity of heat require is [tex]0.062kJ[/tex]

Step-by-step explanation:

This problem bothers on the topic of heat capacity.

Given data

mass of water m=  [tex]710 grams[/tex]

converting from grams to kg we have =[tex]\frac{710}{1000} = 0.71kg[/tex]

initial temperature T1= 4°C

final temperature T2= 25°C

heat capacity of water = [tex]4.184 J/g[/tex]

The expression for the quantity of heat required is given has

[tex]Q= mc(T2-T1)[/tex]

substituting our given data we have

[tex]Q= 0.71*4.184*(25-4)\\Q= 2.97*(21)\\Q= 62.38J\\[/tex]

In kilograms we have to divide by [tex]1000[/tex]

[tex]Q= \frac{62.38}{1000} = 0.062kJ[/tex]

Answer:

h(x) is the NEGATIVE of g(x)

Step-by-step explanation:

Where are the statements?  Please share them next time.

h(x) is the NEGATIVE of g(x):  h(x) = -x^2 = -g(x)

Answer:

AB = 4.9 ft

Step-by-step explanation:

Here, we are to calculate the length of AB.

Firstly, please check the diagram of the triangle we have in the attachment.

From there we can see that what we are asked to calculate is the length of the hypotenuse(AB) while what we have is the length of the opposite and the angle.

Mathematically, when we have the opposite and the hypotenuse, the trigonometric ratio that links both is the sine

sine = opposite/hypotenuse

Sin 47 = 3.5/hypotenuse

hypotenuse = 3.5/sin 47

hypotenuse = 4.7856

To the nearest tenth of a foot AB = 4.8 ft

Answer:

Step-by-step explanation:

Velocity is the speed of an object in a definite direction. In mechanics, velocity is a vector quantity. It requires magnitude and direction to make any sense. Velocities are expressed per unit time.

The SI unit of time is the second.

Now, suppose we need the velocity in feet per second. A simple calculation will help:

feet per second = miles per hour × 1.466667 [ in other words, one mile per hour equals 1.466667 feet per second]

For a space capsule moving at 80 miles per hour, the velocity is given by

                          = 100 × 1.466667

                          = 146.67 ft/s [feet per second]

Answer:

-$180

After 3 withdrawals of $60:

-60 × 3 --- 60 less dollars every one of 3 withdrawals

-180 --- simplify

-$180

hope this helps and brainliest?

Answer:

Formas de elegir cualquier 2 calcetines de 24 calcetines a 24C2

Formas de elegir 2 calcetines NEGROS de 12 calcetines NEGROS 12C2

Probabilidad de recoger 2 calcetines NEGROS (P1) 12C2 / 24C2 a 66/276

Probabilidad de recoger 2 calcetines BLANCOS (P2) 12C2 / 24C2 a 66/276

Probabilidad de elegir los 2 calcetines del mismo color: P1+P2 a 66/276 + 66/276 a 11/23.

esto le dará una pista

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

You find the common denominator by the LCM , which in this case is 50.

incase you did not understand LCM , am here to help.

Answer:

1. x= -1/2

3. a= 11

5.y= -14

7.x= 8

9.n=4

Answer:

[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]

Step-by-step explanation:

We have the following dataset given:

0.4,0.2,0.4,0.6

In order to calculate the MAD we need to calculate the sample mean first with this formula:

[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

Replacing we got:

[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]

Answer:

0.1

Step-by-step explanation:

Khan Academy

Answer:

45 gallons

Step-by-step explanation:

You have to do 3x (lemonade)+5x (soda)=120

8x=120

x=15

now multiply the 15 with the 3 which will get you to 45

i really hope this helped!!

Answer:

[tex] log_{2}(9x) - log_{2}(3) = 3 \\ 3 = log_{2}(8) or log_{2}( {2}^{3} ) \\ log_{2}( \frac{9x}{3} ) = log_{2}(8) \\ \frac{9x}{3} = 8 \\ 9x = 8 \times 3 \\ 9x = 24 \\ x = \frac{24}{9} \\ x = \frac{8}{3} \\ x = 2 \times \frac{2}{3} [/tex]

Answer:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3 : x = \frac{8}{3}[/tex]

Decimal:

[tex]x = 2.66666...[/tex]

Step-by-step explanation:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3[/tex]

Add [tex]log _2\left(3)[/tex] to both sides:

[tex]\log _2\left(9x\right)-\log _2\left(3\right)+\log _2\left(3\right)=3+\log _2\left(3\right)[/tex]

Simplify:

[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)[/tex]

Use the logarithmic definition: If [tex]\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex]

[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)\quad \Rightarrow \quad \:9x=2^{3+\log _2\left(3\right)}[/tex]

[tex]9x=2^{3+\log _2\left(3\right)}[/tex]

Expand [tex]2^{3+\log _2\left(3\right)} : 24[/tex]

[tex]9x=24[/tex]

Solve: [tex]9x=24 : x = \frac{8}{3}[/tex]

[tex]x = \frac{8}{3}[/tex]

Verify solutions: [tex]x = \frac{8}{3}[/tex]  : True

The solution is:

[tex]x=\frac{8}{3}[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

x = -10

Step-by-step explanation:

First you have to isolate x

then you have to add 3 on the other side.

so yeahh!!

Answer:

B. double-blind

Step-by-step explanation:

Answer:

AB

Step-by-step explanation:

Answer:

The area of trapezoid is 36 [tex]m^2[/tex].

Step-by-step explanation:

To find the area of a trapezoid, you need this formula:

[tex]A = \frac{(a+b)}{2} \times h[/tex]

[tex]a =[/tex] long base

[tex]b =[/tex]short base

[tex]h =[/tex] altitude (height)

-Use the following measures of trapezoid for the formula:

[tex]A = \frac{(8+4)}{2} \times 6[/tex]

-Then, you solve the formula:

[tex]A = \frac{(8+4)}{2} \times 6[/tex]

[tex]A = \frac{12}{2} \times 6[/tex]

[tex]A = 6 \times 6[/tex]

[tex]A = 36[/tex]

So, therefore, the area of a trapezoid is 36 [tex]m^2[/tex].

Answer:

first one right

Step-by-step explanation:

Answer: 8.4 m²

Step-by-step explanation:

[tex]\text{The Area of a sector}=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\=\pi(4)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\=\dfrac{16\pi}{6}\\\\\\= \dfrac{8}{3}\pi\\\\\\= \large\boxed{8.4}[/tex]

Answer:

(B)

Step-by-step explanation:

If you count, there'd be 16 blue chairs.

Therefore, B

Answer:

The answer is b

Step-by-step explanation:

When there is only 2 squares it wil be 2(4) (for 2 squares) and then 2(2) for the single square lw

So adding in another square will make it 2(6)+2(2)

=16 chairs

Answer:

18.85 feet

Step-by-step explanation:

C = 2 x 3.14 x 6/2

Answer:

C≈18.84

Step-by-step explanation:

Formula is 2πr

D = 6 ft

Radius is D/2 = 3

2π3 = 18.84955592153875943077586029967701730518301639625063492584