Find g(3), given that g is a linear function with g(1)=-2 and g(4)=8

Answer:

Option 2, y=-3/2x-4

Step-by-step explanation:

Solve with the point-slope formula: y-y1=m(x-x1). The line is perpendicular, meaning the slope of the new equation will be the oppposite reciprocal of the original slope.

First, we need to rewrite the original equation into standard form.

2x-3y=13

-3y=13-2x

y=-13/3+2/3x

From this, we can see that the slope here is 2/3. Since the line we're looking for is perpendicular, the opposite reciprocal of that slope is -3/2.

Now, we can plug in the coordinates we have into the formula (-6, 5), along with our slope (-3/2).

y-(5)=-3/2(x+6)

y-5=-3/2x-9

y=-3/2x-4

And to check, we can just plug the coordinates into our new equation:

Check:

(5)=-3/2(-6)-4

5=9-4

5=5

Answer: B on edg

Step-by-step explanation:

trust me

Answer:

25.50

Step-by-step explanation:

I took the test

Answer:

The answer (25.50) is correct.

Step-by-step explanation:

Use the diagram to subtract the amount of money to the artist from the artwork price.

Answer:

Improper way: 27/4

Mixed number: 6 3/4

Step-by-step explanation:

To make it easier, put a 1 under the 9. So you get 9/1.

It should look like this:  9/1 x 3/4

Then simply multiply 9 and 3 then 1 and 4.

You get 27/4!

Answer:

9/8

Step-by-step explanation: Done the problem before in my math class.

Answer:

9/8

Step-by-step explanation:

Candance ate 3/4

Serving is 2/3

Divide: 3/4 divided by 2/3

To divide fractions you multiply the inverse.

3/4 x 3/2 = 9/8  

Hope this helps :)

Look : angle 1 + angle 3 = 180°

because it is a straight line.

Thus ;

[tex]5x + 35 + 4x + 10 = 180[/tex]

Simplification

[tex]9x + 45 = 180[/tex]

Subtract sides 45

[tex]9 x = 180 - 45[/tex]

[tex]9x = 135[/tex]

Divided sides 9

[tex] \frac{9}{9}x = \frac{135}{9} \\ [/tex]

[tex]x = 15[/tex]

So x = 15°

_________________________________

angle 1 = 5x + 35°

angle 1 = 5 ( 15 ) + 35°

angle 1 = 75° + 35°

angle 1 = 110°

_________________________________

angle 1 + angle 2 = 180°

110° + angle 2 = 180°

Subtract sides 110°

angle 2 = 180° - 110°

angle 2 = 70°

_________________________________

And we're done...♥️♥️♥️♥️♥️

Answer: 4 hours

Step-by-step explanation:

21+2x=29

29-21=8/2=4 2x/2

Answer:180 minus 79 is 101

Step-by-step explanation:

Answer:10¢ per year

Step-by-step explanation:every year that pass the bananas price rose by 10¢

Answer:

the answer is 24

Step-by-step explanation:

36 times 2x is 24

90+36=126

180-126=54

54/2=27

x = 27

Hope you enjoy it! :)

Answer:

reflection/////////

Answer:

i don't know if you can make it to the thor or long or short and I can do it again soon and piece you up a little more about the finale of the final.

Answer:

-89

Step-by-step explanation:

Answer:

n=−2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(n−5)=−21

Step 1: Simplify both sides of the equation.

3(n−5)=−21

(3)(n)+(3)(−5)=−21(Distribute)

3n+−15=−21

3n−15=−21

Step 2: Add 15 to both sides.

3n−15+15=−21+15

3n=−6

Step 3: Divide both sides by 3.

Answer: n= -2

Step-by-step explanation:

3(n−5)=−21

Divide both sides by 3.

n−5=  

3

−21

​  

Divide −21 by 3 to get −7.

n−5=−7

Add 5 to both sides.

n=−7+5

Add −7 and 5 to get −2.

n=−2

Answer:

see below

Step-by-step explanation:

Pair 1 is a rotation since we turn figure A into figure B

Pair 2 is a reflection since we flip figure A into figure B over a horizontal line

Pair 3 is a translation since we slide figure A into figure B by moving it down

Answer:

x=7

Step-by-step explanation:

x-8=-1, x-8+8=-1+8,-1+8=7

Answer:

x<7

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

14x+10y

Step-by-step explanation:

(2x-5y)(7x-2y)

(2x*7x)(-5y*-2y)

Answer:

I'm guessing 0.9

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

A dime is 1/10 fraction of a dollar.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator. Any number can be expressed as fractions.

We have to convert a dime into a fraction of a dollar.

Number of dimes in a dollar = 10

10 dimes = 1 dollar

1 dime = 1/10 dollar

So we can say that one dime is 1/10 of a dollar.

Hence 1/10 fraction of a dollar is 1 dime.

To learn more about Fractions, click on the link given below :

https://brainly.com/question/10708469

#SPJ2

Answer:

160-p=150

Step-by-step explanation:

160 now - needs to lose = 150 goal

Answer:

Complementary Angles

Step-by-step explanation:

Complementary angles are angles whos measures add up to 90 degrees! The angles in the picture can also be described as adjacent angles, because they share the same vertex.

So these angles are technically both complementary and adjacent, but they are more specifically, complementary.

I hope I was of assistance! #SpreadTheLove <3

Answer:

180

Step-by-step explanation:

subtract 45,000 (the money you already get) from 90,000 and you get 45,000. next divide 45,000 by 250 and get 180 (the amount of units you need to sell in order to make 90k total)

Answer:

Domain: [-2, 0, 2, 4]

Range: [3]

Step-by-step explanation:

The domain of the function are all values of x that are plotted on the horizontal axis (x-axis), while the range are the corresponding y-values plotted on the vertical axis (y-axis).

Therefore,

Domain of the function = [-2, 0, 2, 4]

Range of the function = [3] (only 1 possible value of y can be seen as plotted on the gray]

Answer:

256

Step-by-step explanation:

By using power of a power rule, the result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.

Exponents formulas refer to the formulas that help solve exponents. Exponent of a number is represented in the form: [tex]x^{n}[/tex], meaning x is multiplied by itself for n times. Here,

x is called the "base"

n is called the "exponent" or "power"

[tex]x^{n}[/tex] is read as "x to the power of n" (or) "x raised to n"

Power of a power rule :  [tex](a^{m} )^{n}=a^{mn}[/tex]

Given exponential expression

[tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex]

[tex](4^{3} )^{2}[/tex] is in the form of power of a power rule [tex](a^{m} )^{n}=a^{mn}[/tex]

= [tex]4^{6}[/tex] × [tex]\frac{1}{4^{2} }[/tex]

= [tex]4^{4}[/tex] × [tex]4^{2}[/tex] × [tex]\frac{1}{4^{2} }[/tex]

= [tex]4^{4}[/tex]

= 256

The result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.

Find out more information exponential formulas here

https://brainly.com/question/23418174

#SPJ3

Answer:

1

Step-by-step explanation:

Answer:

I(1/2;1)

Step-by-step explanation:

if the midpoint is I(x;y)

=> [tex]\left \{ {{y=\frac{5-3}{2}=1 } \atop {x=\frac{-1+2}{2}=\frac{1}{2} }} \right.[/tex]

=> I(1/2;1)

Answer:

36

Step-by-step explanation:

We have the summation:

[tex]\displaystyle{\sum_{i=1}^{9} 2i-6[/tex]

Essentially, we want to find the sum of (2i-6) from i=1 to i=9.

First, using summation properties, we can split this to:

[tex]=\displaystyle{\sum_{i=1}^{9} 2i+\displaystyle{\sum_{i=1}^{9} -6[/tex]

On the right, it will simply be -6 evaluated 9 times. We can also move the constant out from the left:

[tex]=\displaystyle{2\sum_{i=1}^{9} i+9(-6)[/tex]

For the summation on the left, this will simply be the sum (1+2+3+...+9). This yields 45. Therefore:

[tex]=2(45)+9(-6)[/tex]

Evaluate:

[tex]=90-54=36[/tex]

So, our final answer is 36.

Step-by-step explanation:

The figure is Similar.

Observation:-

Similar figures have similar sides. If we see carefully in smaller triangle, 3 has been added to each side and they are similar. We need to find y.

We have :-

5+3=8 as similar sides.

So, applying same algorithm,

[tex]y + 3 = 5[/tex]

[tex]y = 5 - 3[/tex]

[tex] \boxed{ \tt{y = 2 \ cm}}[/tex]

is the answer.

Hope it helps :)