Find the sum. A. 4x2 – x – 5 B. 10x2 + 7x – 5 C. –10x2 + 7x + 11 D. 4x2 + x – 11

Answer:

The original number is 19

Step-by-step explanation:

Let the original number be x

The above expression is written as

3x - 17 = 40

3x = 40 + 17

3x = 57

Divide both sides by 3

3x / 3 = 57/3

x = 19

Hope this helps you.

Answer:

im not sure either the triple is time with three or power of three

if times three:

3x–17=40

19

if power of three:

x³–17=40

x=

[tex] \sqrt[3]{57} [/tex]

Answer:

  f(x) = –x^2 – 12x – 36

Step-by-step explanation:

The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...

  f(x) = (x+6)^2 = x^2 +12x +36

Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...

  f(x) = -x^2 -12x -36

It's D.

I have to have at least 20 characters.

Answer:  B) contain the points E and F

Step-by-step explanation:

Dilation of 2 means to multiply both the x- and y-coordinates by 2

see image below

The only option that is true that E'F' contains points E and F

Answer:

  contains the points E and F

Step-by-step explanation:

The center of dilation is an invariant point. It doesn't move, regardless of the dilation factor.

Likewise, any line through the center of dilation will not move. It is not rotated or translated by dilation--it simply is stretched (or compressed) along its length. It is still an infinite line, and it still goes through all of the points it went through before dilation.

The line through the center of dilation that contains points E and F, after dilation, ...

  contains the points E and F.

Answer:

given,

selling price (sp)=rs 5 ×30

=rs 150

now, gain %=20%

cost price (cp)=

[tex] \frac{sp \times 100}{100 + gain\%} [/tex]

[tex] = \frac{150 \times 100}{100 + 20} [/tex]

therefore cp= rs125

now,

again in 2nd case

sp= rs 27×5

therefore sp=rs 135

and cp= rs125

now, sp>cp so,

[tex]gain\% = \frac{sp - cp}{cp} \times 100\%[/tex]

or, gain=

[tex] = \frac{135 - 125}{125} \times 100\%[/tex]

therefore gain %= 8%.... is answer

hope it helps..

Answer:

[tex] c = 77.6 [/tex]

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c} [/tex]

[tex] c\sin 75^\circ = 150 \sin 30^\circ [/tex]

[tex] c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ} [/tex]

[tex] c = 77.6 [/tex]

You are correct. Good job!

Answer:

Parallel!

Step-by-step explanation:

If you put these points on a graph and connect the dots to be two lines, they are perfectly side to side :)

Answer:

R= sqrt 445

Y = 19

Step-by-step explanation:

Radius is the square root of 445

Find y

So, First step is to substitute what you have

-9^2 + y^2 = 445

 81 + y^2 = 445

-81               -81

y^2 =364

Y is about 19

Let me know if I'm incorrect

Hope this helps :)

The sides of the regular hexagon ABCDEF can be posed as a. If so, the area of ABCDEF should be 6 times the are of the interior angle in the hexagon, considering there are 6 equilateral triangle that can fit in this regular hexagon,

Area =  6( a * a * sin 60 ) / 2,

Area = ( About ) 2.6 sq units

Now applying cosine for triangle ABC -

AC^2 = AB^2 + BC^2 – ( 2*AB*BC*cos 120 ),

a^2 + a^2 – ( 2a^2 * ( - 0.5 ) ) = a^2 + a^2+a^2 =3a^2,

AC = a√3

The area of ABC should thus be the following -

( a√3 * a√3 * sin 60 )/2 = 1.299038106 sq units

As you can see, the area of ABC is half the area of ABCDEF, thus the ratio of the area of ABC to ABCDEF is 1 : 2

Answer:

3.5 units

Step-by-step explanation:

Answer:

C. 2,589.25

Step-by-step explanation:

Salary=$3500

Less:

Federal income withheld

15% of $3500

=15/100×$3500

=$525

Social security tax of 6.2%

6.2% of $3500

=6.2/100 × $3500

=$217

Medicare tax of 1.45%

1.45% of $3500

1.45/100 × $3500

=$50.75

Health insurance premium=$48

Savings plan of 2%

2% of $3500

=2/100 × $3500

=$70

Total less:= $525 + $217 + $50.75 + $48 + $70

Eric's net pay =$3500 - $910.75

=$2,589.25

Answer:

c

Step-by-step explanation:

Answer:

log (3)           log (x)  

---------    +      ---------

    2                     2

Step-by-step explanation:

a. distribute to get → log (3)           log (x)  

                                  ---------    +      ---------

                                     2                     2

Hope this helped! :)

log√(3x) can be written in the expanded form as [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

We know that,

√a can be written as (a) ^(1/2).

Similarly,

log√(3x) = log (3x)^(1/2)

Now, we have a rule for logarithms that, log aᵇ = b log a.

So,

log√(3x) = log (3x)^(1/2)

              = [tex]\frac{1}{2}[/tex] log (3x)

Using the multiplication rule of logarithms, log (ab) = log (a) + log(b),

              = [tex]\frac{1}{2}[/tex] [log (3) + log (x)]

Hence the expanded form is [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

Learn more about Logarithms here :

https://brainly.com/question/29291192

#SPJ2

Answer:

Step-by-step explanation:

in x²+y²+2gx+2fy+c=0

center=(-g,-f)

radius=√((-g)²+(-f)²-c)

if center is not changed ,then c will change .

Here only coefficients of  E will change.

Answer:

44

Step-by-step explanation:

11×4

hope it helped!

Answer:

[tex] {1000}^{m} \div {100}^{n} \\ \\ {10}^{3m} \div {10}^{2n} [/tex]

Since they have the same base and are dividing we subtract the exponents

That's

[tex] {10}^{3m - 2n} [/tex]

So

Hope this helps you

Answer:

[tex]\boxed{ z = 3m-2n}[/tex]

Step-by-step explanation:

=> [tex]1000^m / 100^n[/tex]

=> [tex](10)^{3m} / (10)^{2n}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> [tex]10 ^{3m-2n}[/tex]

Comparing it with [tex]10^z[/tex], we get

=> z = 3m-2n

Answer:

14.0008 grams of 27% and 7.9992 grams of 52%

Step-by-step explanation:

We know that in the end we want 22 grams of 36.09% copper, meaning in the end we want 36.09% of the 22 grams to be copper. This means we can multiply 36.09% by 22 to see how much copper we want in the end.

To find out how much of each alloy to use, we can multiply the percentage of copper in the alloy be a variable x, which will be how much of that alloy we use. For the other alloy, we can multiply the percentage by (22-x) grams as we know in the end we want 22 grams and if x+y=22, than y would equal 22-x, and in this case this simplifies it to only use a single variable.

Now finally, making the equation we get 27x+52(22-x)=36.09(22). We can solve this and get 27x+1144-52x=793.98, then combine like terms and get -25x+1144=793.98. Next you have to subtract 1144 from both sides to get -25x=-350.02. Dividing both sides by -25 we get x=14.0008. This is how many grams of 27% copper was used. Now we can subtract this from 22 to get how much 52% copper was used, and we get 22-14.0008=7.9992 grams of 52% copper.

Answer

The additive inverse is

-x/-y

That is equal to x/y

hope this may help you