Given g(x) = 4x−8, find g(1/2).

Answer:

$74.74

Step-by-step explanation:

$49.99 + $0.99 (25) =

$74.74

Answer:

x = -4

Step-by-step explanation:

2(x-8)=x+5x

Combine like terms

2(x-8) = 6x

Divide by 2

2(x-8)/2 = 6x/2

x-8 = 3x

Subtract x from each side

x-8-x = 3x-x

-8 = 2x

Divide by 2

-8/2 = 2x/2

-4 =x

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{15 \: ft}}}}[/tex]

Step-by-step explanation:

[tex] \text{Given} : [/tex]

[tex] \rm{Area \: of \: a \: rectangular \: garden \: = 105 \: {ft}^{2} }[/tex]

[tex] \rm{Width\: of \: a \: rectangular \: garden \: = \: 7 \: ft}[/tex]

[tex] \underline{ \rm{Finding \: the \: length \: of \: a \: rectangular \: garden}} : [/tex]

[tex] \boxed{ \rm{Area \: of \: a \: rectangle \: = \: Length \: \times \: Width}}[/tex]

[tex] \rm{➳ \: 105 = 7 \: Length}[/tex]

[tex] \rm{➳ \: 7 \: Length \: = 105}[/tex]

[tex] \rm{➳ \: \frac{7 \:Length}{7} = \frac{105}{7} }[/tex]

[tex] ➳ \boxed{ \rm{ \: Length \: = \: 15 \: ft}}[/tex]

[tex] \text{The \: Length \: of \: a \: rectangular \: garden \: is \boxed{ \rm15 \: ft}}.[/tex]

[tex] \text{Hope \: I\: helped!}[/tex]

[tex] \rm{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

x is greater than negative 4, and less than or equal to 5

Step-by-step explanation:

Answer: X is greater than negative 4 and less than 5

Step-by-step explanation: The line is from -4 to 5, the unfilled dot on top of -4 means the number can't be 4, it must be greater and the filled in dot on 5 means it is equal to or less than 5.

Answer:

Option (K)

Step-by-step explanation:

From the figure attached,

Coordinates of the point T(x, y),

x-coordinate shows the distance (ST) of point T horizontally from origin and y-coordinate show the vertical distance (OS) of point T from the origin.

If OS = ST, x and y coordinates should be same in measure.

For the point (k, 5),

OS = 5 and ST = k

Since, OS = ST,

Therefore, k = 5

Option (K) will be the correct option.

Answer:

yes, because it is an even number

Step-by-step explanation:

Answer:

So the square of 48 is not perfect square

Step-by-step explanation:

Equation Given:

6⁴×6³

Step by step explanation:

Step 1:

[tex] {6}^{4} \times {6}^{3} [/tex]

Step 2:

[tex] = 1296 \times 216[/tex]

Step 3:

[tex] = 279936✓[/tex]

Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

[tex]{6}^{4} \times {6}^{3} [/tex]

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex] {6}^{4} \times {6}^{3}\\

=>{6}^{(4 + 3)} \\

=>{6}^{7}\\

=>6×6×6×6×6×6×6\\

=>36×36×36×6\\

=>279936\ is\ answer..[/tex]

Answer:

1.18

Step-by-step explanation:

Given the Magnitude of an earth quake model :

M = log(x/c)

x = measured amplitude ; c = reference amplitude

Amplitude of seismic wave in first earthquake = 15 amplitude of seismic wave in second

Let amplitude of seismic wave in first earthquake = x1

amplitude of seismic wave in second earthquake = x2

x1 = 15 * x2 = 15x2

Hence ;

1st earthquake magnitude :

M1 = log(a/c)

2nd earthquake magnitude :

M2 = log(15a/c)

M1 - M2

Log(x1/c) - log(x2/c)

Using the quotient rule

Log(x1) - log(c) - [log(x2) - log(c)]

Log(x1) - log(c) - log(x2) + log(c)

Log(x1) - log(x2)

Substituting x1 = 15x2

Log(x1) = log(15x2)

Seperating using product rule:

Log(x1) = log(15*x2) = log(15) + log(x2)

Hence,

log(15) + log(x2) - log(x2)

Log(15) - 0

= 1.1760

= 1.18 (nearest hundredth)

Answer: c = 3

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Subtract 4 from both sides.

-17 - 4 = -7c

Step 2: Simplify -17 - 4 to -21.

-21 = 7c

Step 3: Divide both sides by -7.

[tex]\frac{-21}{-7}[/tex] = c

Step 4: Two negatives make a positive.

[tex]\frac{21}{7}[/tex] = c

Step 5: Simplify [tex]\frac{21}{7}[/tex] to 3.

3 = c

Step 6: Switch sides.

c = 3

~I hope I helped you! :)~

Answer:

y = x/2 + 4

Step-by-step explanation:

When you are trying to find the line which is parallel to the first line, remember that the second line would have the SAME GRADIENT as the first line.

Answer:

can u help me then i will help u:/

Step-by-step explanation:

Answer:

y=10x+35

so for 4 yoga classes, it is $75

so for 8 yoga classes, it is $115

so for 12 yoga classes, it is $155

Step-by-step explanation:

So 35 is only a one-time payment and it is over so we just add 35, but $10 is the rate of change depending on how much yoga class you have been into so the equation will be y=10x+35

Explanation for 4 yoga classes: y=10(4)+35 which is 75

Explanation for 8 yoga classes: y=10(8)+35 which is 115

Explanation for 12 yoga classes: y=10(12)+35 which is 155

Hope this helps!

Answer:

RT = 8

Step-by-step explanation:

The given parameters for the triangle are;

The vertices of the given triangle = RSQ

The point on the perpendicular bisector = Pont S and T

The length of the line segment RT = x

The length of the line segment TQ = 8

The length of the line segment QS = 10

The length of the line segment RS = 10

Given that I is a perpendicular bisector that passes through the vertex S, we have;

The line I bisects the segment RQ at point T into equal segments TQ and TR

Therefore, TQ ≅ TR and we have TQ = TR = 8

TR = 8

TR = RT (reflexive property)

Therefore; RT = 8.

Answer:

RS = 12

Step-by-step explanation:

if your question is asking for RS

Answer:

5×5×5=5³

Step-by-step explanation:

Answer:

A power, or exponent, represents how many times the term, in this case 5, is multiplied by itself. So multiply 5 by itself until you get 125. Then write your answer as 5ˣ where x is the number of times you multiplied 5 by itself.

Hopefully this helped. Please don't use this platform as a way to get free homework answers. You don't learn anything that way.

The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

Given that,

Evan earned $26 for 4 hours of babysitting.

If total earnings y for babysitting x hours then,

y = (26/4)x ⇒ y = 6.5x will be the equation.

The unit rate of the function is y/x = $6.5/hour.

Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".

For more information about the graph of a function

brainly.com/question/27757761

#SPJ2

Step-by-step explanation:

[tex]a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123[/tex]

[tex]a\cdot10^{-n}[/tex] - move the decimal point n place to the left

[tex]a\cdot10^n[/tex] - move the decimal point n place to the right

Examples:

[tex]1.2\cdot10^5=1\underbrace{20000}_{5\to}=120,000\\\\1.2\cdot10^{-5}=0\underbrace{.00001}_{\leftarrow5}2=0.000012[/tex]

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus

4 parts = 4 × £60 = £240 ← Alvin's share

5 parts = 5 × £60 = £300 ← Simon's share

[tex]\frac{1}{2}[/tex] × £240 = £120

[tex]\frac{1}{10}[/tex] × £300 = £30

Theo receives £120 + £30 = £150 , which as a fraction is

[tex]\frac{150}{540}[/tex] ( divide numerator/ denominator by 30 )

= [tex]\frac{5}{18}[/tex] ← in simplest form

Slope can be calculated using the formula: m= [tex]\frac{y2 - y1}{x2 - x1}[/tex]

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m =[tex]\frac{4 - (-2)}{(-9)-3}[/tex]

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

Answer:

m = slope = -2

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2[/tex]

Hope this helped! :)

Step-by-step explanation:

a)2^8=256

2^5*2^x=2^8

5+x=8

x=8-5

x=3

b)(1/3)^6

(1/3)^2*(1/3)^x=(1/3)^6

2+x=6

x=6-2

x=4

therefore the value of x in a is 3

and the value of x in b is 4

hope it helps u...pls mark it as the brainliest answer..

a) The value of x is 3

b) The value of x is 5

Given the expression [tex]2^5\cdot 2^x = 256[/tex]

Using the law of indices, the equation becomes;

[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]

Hence the value of x is 3

b)

[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]

Hence the value of x is 5

Learn more on indices here: https://brainly.com/question/10339517

Answer:

8 chairs

Step-by-step explanation:

5 quarts= 40/8 quarts

1 chair= 5/8 quarts

40/8-5/8x=0

(-40/8)/(-5/8)=x

8 chairs

Answer:

Well if Your asking for burgers the question makes no sense but if your asking how many cows it takes to make 1 billion burgers it would be 833,333 or round it 833,334

Answer: The answer would be 2/11

Step-by-step explanation: Mark answered 54 questions correctly, so Mark missed 12 which gives you 12/66. Then that simplifies to 2/11

Answer:

-34

Step-by-step explanation:

Answer:

The measure of the indicated angles is 62°.

Reason: vertical angles

Answer:

67% or 0.67

Step-by-step explanation:

Given that:

P(1 child under age 21) = 55%

P(2 children under age 21) = 22%

P(3 children under age 21) = 15%

P(4 children under age 21) = 5%

P(5 or more children under age 21) = 3%

If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

P(1 or 3 children under age 21):

Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;

P(1 child under age 21) + P(3 children under age 21)

= 55% + 15%

= 67% = 0.67

Answer:

I think it might be C im not sure tho

Answer: It's slope is zero

Step-by-step explanation:

Answer:

the slope is zero

Step-by-step explanation:

it is going straight