G(x)= -x^2 + 9 find: g(-4)

Answer:

[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]

Step-by-step explanation:

So we want to find an equation of a line passing through (-8,2) with a slope of 4/3.

To do so, we can use the point-slope form. This is:

[tex]y-y_1=m(x-x_1)[/tex]

So, substitute (-8,2) for x₁ and y₁, and let m be 4/3:

[tex]y-2=\frac{4}{3}(x+8)[/tex]

Distribute the right:

[tex]y-2=\frac{4}{3}x+\frac{32}{3}[/tex]

Add 2 to both sides. Note that 2 can be written as 6/3. Thus:

[tex]y=\frac{4}{3}x+\frac{32}{3}+\frac{6}{3}[/tex]

Simplify:

[tex]y=\frac{4}{3}x+\frac{38}{3}[/tex]

And this is our equation :)

Answer:

They are some side interior angles. Angle A measures 55 degrees.

Step-by-step explanation:

Angle A is accuse so it can’t be 90 or more, so that narrows you’re options down by two. From there it’s fairly easy to distinguish.

Answer:

c

Step-by-step explanation:

Given

sinN = [tex]\frac{a}{b}[/tex] ( multiply both sides by b ) , then

a = bsinN → (a)

And

sinM = [tex]\frac{a}{y}[/tex] ( multiply both sides by y ), then

a = ysinM → (b)

Thus a is both (a) and (b)

Answer:

EZ

Step-by-step explanation:

EZ

Answer:

Hey there!

5760/480000=x/600000

Solving for x, we get the answer is $7200.

Let me know if this helps :)

Answer:

$7200

Step-by-step explanation:

We can start by finding out the tax rate by dividing the property tax by assessed value.

$5760/$480,000 = 0.012

From this, we learn the tax rate is 1.2%

Now, we can multiply the assessed value of $600,000 by the tax rate.

$600,000*0.012 = $7200

The property tax on a house with the assessed value of $600,000 is $7200.

Answer:

33 x 15.80

521.40 x 50= 26,070

B 26,070

Hope this helps! （づ￣3￣）づ╭❤～

Answer:

Zero

Step-by-step explanation:

Zero

Answer

To fill in the blank, it would be zero

Step-by-step explanation:

Answer:

3xy+6x+3y+6

Step-by-step explanation:

You just need to combine like terms.

5x and x are like terms so you can add them to 6x.

2 and 4 are like terms so you can add them to 6

Answer:

x = 0

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2*x+8/6-(1/3*(x+4))=0

Simplify 1/3

Equation at the end of step  1 :

(2x +  8/6) -  (1/3 * (x + 4))  = 0  

STEP  2 :

Equation at the end of step 2

 (2x + 8/6) -  (x+4)/3  = 0  

STEP  3 :  

Simplify 4/3

Equation at the end of step  3 :

(2x + 4/3) -  (x+4)/3  = 0  

STEP  4 :

Rewriting the whole as an Equivalent Fraction

Adding a fraction to a whole

Rewrite the whole as a fraction using  3  as the denominator :

2x =  2x/1  =  2x*3/3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2x * 3 + 4/3  =  6x+4/3

Equation at the end of step  4 :

(6x+4)/3 -  (x+4)/3  = 0  

STEP  5 :  Pulling out like terms

Pull out like factors :

6x + 4  =   2*(3x + 2)  

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2*(3x+2)-((x+4))/3  =  5x/3

Equation at the end of step  5 :

5x/3 = 0  

STEP  6:  When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now, to get rid of the denominator, multiply both sides of the equation by the denominator.

Here's how:

5x/3*3 = 0*3

Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

5x  = 0

Solving a Single Variable Equation:

Solve  :    5x = 0  

Divide both sides of the equation by 5:

x = 0

Answer:

Question Answer

I am a number whose prime factors are all the prime numbers between 6 and 15 no factor is repeated what number am i? 1001

The number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

We have:

I am a number whose prime factors are all of the prime numbers between 6 and 15.

The prime number between 6 and 15:

As we know, the prime number is the number that is divisible by 1 and itself.

Prime number = {7, 11, 13}

= 7×11×13

= 1001

Thus, the number is 1001 if a number whose prime factors are all of the prime numbers between 6 and 15.

Learn more about the number here:

brainly.com/question/17429689

#SPJ2

Answer:

BC=11

Step-by-step explanation:

we need to find BC

and we  know that

AB= x+2

AC=13

BC=2x+11

A, B and C are collinear

that means that

AB+BC=AC

x+2+2x+11=13

3x+13=13

3x=0

x=0

so BC=2(0)+11

BC=11

Answer: 11, 56, 168

Step-by-step explanation: order of operations:

1+10=11.

3+11=14. 14x4=56.

3x56=168

Answer a=3f+g/b+x

Step-by-step explanation:

Let's solve for a.

a(x+b)=g+3f

Step 1: Factor out variable a.

a(b+x)=3f+g

Step 2: Divide both sides by b+x.

a(b+x)/b+x=3f+g/b+x

a=3f+g/b+x

The correct answer is Josh has 240 points and his brother has 180 points

Explanation:

The ratio 4:3 means for every four points Josh has, his brother has three points. Now, to find how many points each boy has if there are 420 points, follow this process:

1. Use the ratio to write the equivalent fraction

4 : 3 = [tex]\frac{4}{3}[/tex]

2.  Find the total number of parts

4 + 3  = 7

3. Divide the total number into the parts

420 ÷ 7 = 60 (each of the part is equivalent to 60)

4. Multiply the value of each part by each section of the ratio

4 × 60 = 240 - This represents the number of points Josh has if there are 420 points

3 × 60 = 180 - This represents the points Josh's brother has

This means Josh has 240 points and his brother has 180 points

Answer:

Josh has 240 points and his brother has 180 points\

I hope this helps. Have a nice day :D

Answer:

2/6 or 1/3

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

You can try the answer choices to see which one works. Since the amount repaid is greater than the amount borrowed, you can be pretty sure that the multiplier of x will not be 4/5 (a value less than 1).

You can see right away that

 y = 5/4x

does not work for x=100, because it gives y=(5/4)(100) = 125, and the table value is 135. Note that 135 is 10 more than 125, so we expect that ...

  y = 5/4x +10

will be correct. Trying that function on the other table values shows it fits exactly:

  5/4(200) +10 = 250 +10 = 260

  5/4(500) +10 = 625 +10 = 635

  5/4(800) +10 = 1000 +10 = 1010

_____

You can also use the table values to create the relation equation. One possible method uses the 2-point form of the equation for a line:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (260 -135)/(200 -100)(x -100) +135

  y = 125/100(x -100) +135 . . . . simplify a bit

  y = 5/4x -125 +135 . . . . . . . . . simplify more

  y = 5/4x +10 . . . . . . . . . . . . . . simpler yet; matches 3rd choice

Answer:

Step-by-step explanation:

(A).

No' of siblings           Frequency           Rel. frequency     Cumm. frequency

0                                     51                          0.2429                       51

1                                      37                          0.1762                        51 + 37 = 88

2                                     34                          0.1619                        122

3                                     41                         [tex]\frac{41}{169}=0.2426[/tex]                163

4                                     47                           0.2238                     210

(B).

Percent of people having exactly one sibling = [tex]\frac{\text{Frequency}}{\text{Total frequency}}\times 100[/tex]

                                                                           = [tex]\frac{37}{210}\times 100[/tex]

                                                                           = 17.62%

Answer:

y = 2

Step-by-step explanation:

This equation can be solved three steps, classifying it as a multi-step equation.

To solve, you need to get the constants on one side and the variables on the other and then isolate the variable. These steps are illustrated below.

3y + 2 = 2y + 4 Subtract 2y from both sides of the equation.

y + 2 = 4 Subtract 2 from both sides of the equation.

y = 2

Answer:

22 square feet

Step-by-step explanation:

Area of shaded region = Area of square - Area of circle. The diameter of the circle is also the length of the side of the square as the circumference of the circle is on the circumference of the square.

Area of circle = 3.14 × r × r

r = 10 ÷ 2

= 5

Area of circle = 3.14 × 5 × 5

= 78.5

Area of square = length × length

Area of square = 10 × 10

= 100

Area of shaded region = Square - Circle

= 100 - 78.5

= 21.5

= 22 (to the nearest square foot)

I hope this helps :)

Answer: 250 words in 5 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]6x-10=-8+3x\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\6x-10+10=-8+3x+10\\\\\mathrm{Simplify}\\6x=3x+2\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\6x-3x=3x+2-3x\\\\Simplify\\3x=2\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{2}{3}\\\\Simplify\\x=\frac{2}{3}[/tex]

Answer:

x = 2/3

Step-by-step explanation:

This equation can be solved by using conventional algebraic techniques.

We firstly want to make sure to get our constants on one side of the equation and then get our variables on the other.

6x - 10 = -8 + 3x Subtract 3x from both sides of the equation.

3x - 10 = -8 Add 10 to both sides of the equation.

3x = 2 Divide by 3 on both sides of the equation.

x = 2/3

Then, you can voluntarily check your answer.

6(2/3) - 10 = -8 + 3(2/3)

4 - 10 = -8 + 2

-6 = -6

Answer:

1. Number of boys in A is 52028.

2. Number of girls in B is 46510.

3. Town B has more number of girls.

Step-by-step explanation:

1. [tex]95364 - 43336 = 52028[/tex]

2. [tex]100005-53495=46510[/tex]

3. [tex]43336<46510[/tex] (A < B)

Answer:

  point G

Step-by-step explanation:

Find the referenced points on the diagram and notice the lines between them. The point at the intersection of those lines is what is wanted.

It is point G.

Answer:

x>0

Step-by-step explanation:

We want to solve for x in the inequality:

4^x > 1

ln(4^x)=xln(4) > ln(1)=0

x > 0/ln(4) =0

x>0

So for any value of x greater than 0, you will have 4^x be greater than 1.

Step-by-step explanation:

what concepts of functions can you associate with the picture

The concepts of functions that can be associated with the pictures are :

attached below is the missing diagram.

A concept is general idea about a Thing which can be represented in different forms. It can be visual or non-visual. therefore some of the concept of  function represented in the pictures includes ; money, Financial Accounts, savings.  e.t.c.

Hence from the pictures attached below the concepts that are represented in them includes ; Money, Account, Revenue and Savings.

learn more : https://brainly.com/question/1103669

Answer:

Step-by-step explanation:

[tex]\left(\dfrac{143}{4}-\dfrac38\right)+\left(\dfrac{207}{8}-\dfrac38\right)=\dfrac{286}{8}-\dfrac38+\dfrac{204}{8}=\dfrac{283}{8}+\dfrac{204}{8}=\dfrac{487}{8}[/tex]

Answer:

[tex]\lim_{x \to 5^{-}} f(x)= 54[/tex]

[tex]\lim_{x \to 5^{+}} f(x) = -17[/tex]

Step-by-step explanation:

+ means we are approaching from the right

- means we are approaching from the left

We are given that if x < 5, it is x² + 5x + 4

So to find [tex]\lim_{x \to 5^{-}} f(x)[/tex] we would plug in 5 into that piecewise function part:

5² + 5(5) + 4 = 54

We would be approaching y = 54 if we approach from the left.

We are given that x > 5, it is -4x + 3

So to find [tex]\lim_{x \to 5^{+}} f(x)[/tex] we would plug in 5 into that piecewise function part:

-4(5) + 3 = -17

We would approach y = -17 if we approached from the right.

Answer:

[tex]\lim_{x \to 5^-}f(x)=54\\\lim_{x \to 5^+}f(x)=-17[/tex]

Step-by-step explanation:

So, we have the function:

[tex]f(x)=x^2+5x+4,x<5\\f(x)=8,x=5\\f(x)=-4x+3,\text{ otherwise}[/tex]

And we want to show that this has a jump discontinuity.

As directed, calculate the limit at x=5 from the left and from the right. Thus:

[tex]\lim_{x \to 5^-}f(x)[/tex]

To calculate this, since we're coming from the left, x is less than 5. So, use the first equation:

[tex]\lim_{x \to 5^-}f(x)\\= \lim_{x \to 5^-}(x^2+5x+4)\\[/tex]

Use direct substitution:

[tex]=(5)^2+5(5)+4\\=25+25+4\\=54[/tex]

Thus, as the limit approaches f(5) from the left, the function approaches 54.

Now, calculate the limit at x=5 from the right. Since we're coming from the right, use the third equation:

[tex]\lim_{x \to 5^+}f(x)\\= \lim_{x \to 5^+}(-4x+3)[/tex]

Direct substitution:

[tex](-4(5)+3)\\=-20+3\\=-17[/tex]

Thus, as the limit approaches f(5) from the right, the function approaches -17.

As you can picture, there's a huge gap between y=54 and y=-17. The limits are not equal and both of the limits do exist. Thus, we have jump discontinuity.

Answer:

360

Step-by-step explanation:

.0 is less than .5 so round down

Answer:

360

Step-by-step explanation:

[tex]360.048 = 360[/tex]

0 to 4 = 0(round down)

5 to 9 =1 (round up)