Answer answer answer

Answer: y=5x+100

Step-by-step explanation:

the y intercept is the 100$ invested into the account, and the rate of change is 5

We will see that the system of equations has infinite solutions, each of the form:

y = (3/2)*(x + 1)

Here we have the system:

3x - 2y = -3

-9x + 6y = 9

Notice that if we add 3 times the first equation to the second one, we get zero.

3*(3x - 2y) + -9x + 6y  = 3*(-3) + 9

9x - 6y - 9x + 6y = -9 + 9

0 = 0

This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:

3x - 2y = -3

2y = 3 + 3x

y = (3/2)*(x + 1)

If you want to learn more about systems of equations, you can read:

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Answer:

IQR = 5

Step-by-step explanation:

the IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box plot , that is

Q₃ = 51

Q₁ is the value at the left side of the box plot , that is

Q₁ = 46

then

IQR = Q₃ - Q₁ = 51 - 46 = 5

Answer:

y≥-1

Step-by-step explanation:

First you have to find out whether the inequality has x or y. You can first look at the x coordinate -1. This means that x will always be equal to -1. If you look at the graph than you can see that x is only equal to -1 at one place. So now you know that y is in the inequality. To tell whether this graph is greater than or less than you can look at the line and see whether the shaded section is to the positive side or the negative side. You can see that the shaded area goes in the positive direction so you know that it is greater than.

Answer:

11.61895003862225

Step-by-step explanation:

Answer:

The answer is 10d + 15.

Step-by-step explanation:

Simplify the expression. Calculators are helpful for problems such as these...

Answer:

8

Step-by-step explanation:

32/4 = 8

8 = 1/4(32)

Answer:

8

Step-by-step explanation:

Since there is 32 students and 3/4 of them have brown hair right. We can change the 3/4 fraction to a similar fraction to help. We can bump it up. As it is similar to 6/8 and 12/16 and 24/32

So 24/32 would have brown hair leaving 8 with blonde

Answer:

125.44 = v

Step-by-step explanation:

14 = [tex]\frac{v}{17.92}[/tex] + 7

7 = [tex]\frac{v}{17.92}[/tex]

7(17.92) = v

125.44 = v

Hope this helps!

Answer:

[tex]v = 125.44[/tex]

Step-by-step explanation:

Answer:

the answer is 2500

Step-by-step explanation:

10 ^3 =1000

next you multiply 1000 x 2.5 = 2500

Answer:

0.64

Step-by-step explanation:

...........................

Answer:

0.64

Step-by-step explanation:

3.20 divided by 5 is 0.64.

Answer:

1. true 2. false 3. false 4. true 5. false 6. false or true

Step-by-step explanation:

you're welcome

Answer:

129

Step-by-step explanation:

so they are basically the same angles but on different planes.  Set them equal to each other.

14x+17=19x-23  solve for x

40=5x isolate x by dividing by 5

x=8

check

14(8)+17=19(8)-23

129=129

Answer:

see below

Step-by-step explanation:

7x-12=30

7x=30-+12

x=42/7

x=6

5x-18=77

5x=77+18

x=95/5

x=19

8x+12=36

8x=36-12

x=24/8

x=3

x+45=72

x=72-45

x=27

x+27=82

x=82-27

x=55

x-13=66

x=66+13

x=79

Answer: y = -1.3

Step-by-step explanation:

Answer:

57.5p

Step-by-step explanation:

$2.30 / 4 = 57.5p

Answer:

2nd option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then

y = - 5x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = - 25 + c ⇒ c = - 4 + 25 = 21

y = - 5x + 21 ← equation of perpendicular line

Answer:

DC = 39

Step-by-step explanation:

From inspection of the diagram:

The tangent of a circle is always perpendicular to the radius, therefore:

DE ⊥ EA and CA ⊥ EA

As ∠DEB and ∠BAC are both 90°, then DE is parallel to CA.

Therefore, ∠DBE and ∠ABC are vertically opposite angles, and are therefore equal.

As triangles ΔBED and ΔBAC have two pairs of corresponding congruent angles, the triangles are similar.

Therefore:

[tex]\implies \sf \dfrac{DE}{CA}=\dfrac{EB}{BA}[/tex]

[tex]\implies \sf \dfrac{10}{5}=\dfrac{24}{BA}[/tex]

[tex]\implies \sf BA=12[/tex]

Using Pythagoras' Theorem for ΔBED to find DB:

[tex]\implies \sf DE^2+EB^2=DB^2[/tex]

[tex]\implies \sf 10^2+24^2=DB^2[/tex]

[tex]\implies \sf DB^2=676[/tex]

[tex]\implies \sf DB=\sqrt{676}[/tex]

[tex]\implies \sf DB=26[/tex]

Using Pythagoras' Theorem for ΔBAC to find BC:

[tex]\implies \sf CA^2+BA^2=BC^2[/tex]

[tex]\implies \sf 5^2+12^2=BC^2[/tex]

[tex]\implies \sf BC^2=169[/tex]

[tex]\implies \sf BC=\sqrt{169}[/tex]

[tex]\implies \sf BC=13[/tex]

Therefore, the distance between the center of the circles DC is:

[tex]\begin{aligned} \implies \sf DC & = \sf DB + BC\\& = \sf 26 + 13\\& = \sf 39\end{aligned}[/tex]

Use Pythagorean theorem

Now use proportion

Now

DC=DB+BC=26+13=39

Answer:

Step-by-step explanation:

Answer: 37.5

Explanation: find the surface area of one side, which is 2.5*2.5=6.25 then multiply that product by six, since there’s six sides in a square, and you’ll get 37.5

Answer:

Step-by-step explanation:

Given : the ratio of red marbles to blue marbles is 6 to 22

But ,we want to write the ratio in simplest form

therefore ,we have to divide both sides of the ratio by their greatest common factor GCF.

→ So Let’s find the GCF(6 , 22)

Since 6 = 2 × 3

         22 = 2 × 11

then ,GCF(6 , 22) = 2

Eventually ,the ratio 6 : 22 in its simplest form I suppose 3 : 11

Answer:

a=£231

b=£32.8

Step-by-step explanation:

get the percentage multiplied by the current price to get the increase then add the increaseto the current price

The answer is: (1, –1)

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2.25/.5

The sketch of the function on the set of axes is given below:

The zero of any real-, complex-, or generally vector-valued function f, is a member x of the domain of function such that f(x)=0 at x; x is the solution to the equation f(x) = 0.

As we have the zeros 2,-2,4,-4

The function can be:

[tex]f(x)=(x-2)(x+2)(x-4)(x+4)\\f(x)=(x^2-4)(x^2-16)\\f(x)=x^4-20x^2+64[/tex]

The sketch using a graphing calculator:

Learn more about Zeros:

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Answer:

Step-by-step explanation:

If an equation for example is x=5, the equation has one solution. If the equation is for example 4=4, there is an infinite amount of solutions. for your problem we would simplify the equation to get:

6x+9=3x+9

6x=3x

when dividing the x's to cancel eachother out we are left with 6=3. This means we have no solutions possible.

Answer:

in every way it's possible answer is 0!!

Step-by-step explanation:

method 1:

6x-3x=9-9

3x=0

x=0/3

x=0

method 2:

0=3x-6x+9-9

0=-3x

x=0

check

6*0+9=3*0+9

9=9

proved

Let's see

Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.

The fundraiser only have 3 prices for books which are $2, $5 and $10.

There were 6 more $5 books sold than $10 books sold.

Let

x = number of $10 book sold

Therefore,

number of  $5 books sold = x + 6

There are 8 more $2 book sold than $10 book sold. Therefore,

number of  $2 books sold = x + 8

A total of $250 was raised.

Therefore, the total amount sold forms the following equation:

10x + 5(x + 6) + 2(x + 8) = 250

10x + 5x + 30 + 2x + 16 = 250

17x = 250 - 30 - 16

17x  = 204

x = 204 / 17

x = 12

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The expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given binary functions are.

[tex]r(x) = 3x - 1[/tex]

[tex]s(x) = 2x +1[/tex]

The expression which has to be found out is,

[tex]\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{3(6)-1}{2(6)+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{18-1}{12+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{17}{13}\right)[/tex]

Thus, the expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

Learn more about the equivalent expression here;

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Answer:

I will do only 1 sum bru.h

In the 1st sum

the 1st no. can be in 9 ways

the 2nd no. can be in 10 ways

the 3rd no. can be in 10 ways

the 4th no. can be in 10 ways

total no. of ways = 9 × 10 × 10 × 10

= 90 × 100

= 9000 ways

2nd one..

the 1st letter can be written in 4 ways

the 2nd letter can be written in 4 ways

the 3rd letter can be written in 4 ways

the 4th letter can be written in 4 ways

Total no. of ways = 4 × 4 × 4 × 4

= 16 × 16

= 196 ways