if x represents a number, write an expression to represent a number which is 5 less than 3 times x

The answer is B i had this problem.

Answer: OPTION B

Step-by-step explanation:

Multiply both denominators to find the Least Common Denominator:

[tex]LCD=(3y-4)(y^2)[/tex]

Now, divide each original denominator by the LCD and multiply the result by each numerator. Then:

[tex]=\frac{(6y^2+2y)(y^2)-(9y-7)(3y-4)}{(3y-4)(y^2)}[/tex]

Applying Distributive property, you get:

[tex]=\frac{6y^4+2y^3-(27y^2-36y-21y+28)}{3y^3-4y^2}\\\\=\frac{6y^4+2y^3-27y^2+36y+21y-28}{3y^3-4y^2}[/tex]

Add the like terms in the numerator:

[tex]=\frac{6y^4+2y^3-27y^2+57y-28}{3y^3-4y^2}[/tex]

For this case we must find the value of "c" of the following expression:

[tex]\frac {c} {3} = \frac {30} {5}[/tex]

We solve the right side of the equation:

[tex]\frac {30} {5} = 6[/tex]

Rewriting:

[tex]\frac {c} {3} = 6[/tex]

We multiply both sides of the equation by "3":

[tex]c = 6 * 3\\c = 18[/tex]

Answer:

[tex]c = 18[/tex]

Answer:

The correct answer is option "C"

"The interquartile range increases"

The value of the (RIC) will increase from 4 to 5.75, that is, 44%

Step-by-step explanation:

The range is defined as the difference between the maximum and minimum value of a series of data. Xmax - Xmin

The interleaving range (RIC) is a measure of dispersion that measures the central range of 50% of the data.

Therefore, if a low value is included, such as five, the variance of the data would be greater and, consequently, the value of the (RIC) will increase from 4 to 5.75, that is, 44%

x^2+8x-2=18

x^2+8x-2-18= 18-18

x^2+8x-20= 0

(x-2)(x+10)=0

x-2= 0 , x+10=0

x-2+2= 0+2, x+10-10= 0-10

x=2 , x=-10

Answers are x= 2 -B, x=-10 -A.

Answer:

Option A and B

Step-by-step explanation:

Given : Quadratic equation [tex]x^2+8x-2=18[/tex]

To find : Complete the square to solve the equation below check all that apply ?

Solution :

Re-write, [tex]x^2+8x-2=18[/tex]

[tex]x^2+8x-20=0[/tex]

Applying quadratic formula,

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Here, a=1 , b=8, c=-20

[tex]x=\frac{-8\pm\sqrt{8^2-4(1)(-20)}}{2(1)}[/tex]

[tex]x=\frac{-8\pm\sqrt{64+80}}{2}[/tex]

[tex]x=\frac{-8\pm\sqrt{144}}{2}[/tex]

[tex]x=\frac{-8\pm12}{2}[/tex]

[tex]x=-4\pm6[/tex]

[tex]x=-4+6,-4-6[/tex]

[tex]x=2,-10[/tex]

The solution of the equation is x=2,-10.

Therefore, Option A,B satisfy the equation.

For this case we must make a conversion. By definition, we have to:

1 liter equals 1000 milliliters.

So, we make a rule of three:

1L ------------> 1000mL

x ---------------> 1580mL

Where the variable "x" represents the amount of liters equivalent to 1580 milliliters.

[tex]x = \frac {1580 * 1} {1000}\\x = 1.58[/tex]

Thus, 1580 milliliters equals 1.58 liters.

Anwer:

1.58 liters

Answer:

Equation:

HCL + HCL = HCL

0.30x + 0.45(50-x) = 0.35*50

Multiply thru by 100 to get:

30x + 45*50 - 45x = 35*50

-15x = -10*50

x = (2/3)50

x = 33 1/3 liters (amt. of 30% solution needed in the mixture)

50-x = 16 2/3 liters (amt. of 45% solution needed in the mixture)

=============

Step-by-step explanation:

Answer:

about 36 and 24 liters  

Step-by-step explanation:

    a+b = 60     1

let A multiplied by  10 percent and B multiplied by 35 percent then

  10 a + 35 b = 1500 ( 60 * 25 ) 2

add no. 1 to 2 and multiply no.1  by -10

-10 a+ -10 b = -600

10 a+ 35 b = 1500  adding

then     25 b = 900 then         b = 36 liter

then     a = 24 liter    

Answer:

$18.99

Step-by-step explanation:

Step 1: Take the per topping amount ($1.25) and multiply it by the amount of toppings (4). $1.25x4=$5

Step 2: Add your toppings total ($5) to the base pizza cost ($13.99). $13.99+$5=$18.99

Answer:

18.99

work:

13.99 + (1.25 x 4 )

13.99 + 5

18.99

trust me, 18.99 + (1.25 x 4) will work and the work showing also

Answer:

(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12)

Step-by-step explanation:

Given:

Polynomial 27a^3 b^9+8c^18

Factoring the given polynomial

27a^3b^9 can be written as

=3^3.a^3.b^3^3

=(3ab^3)^3

Also 8c^18 can be written as

=2^3.c^6^3

=(2c^6)^3

Hence Polynomial 27a^3 b^9+8c^18 can be written as

=(3ab^3)^3+(2c^6)^3

Applying sum of cubes formula i.e. a^3 + b^3=(a+b)(a^2 – ab + b^2)

=(3ab^3+2c^6)(9a^2b^6-6ab^3c^6+4c^12) !

Answer:

the length of major semiaxes a = 8.45 cm  and minor semiaxes b= 5.63 cm.

Step-by-step explanation:

Area of ellipse = π*a*b

Let major semiaxes = a and minor semiaxes = b

then a:b = 3:2

a/b = 3/2

=> a = 3/2 b

Putting in the value of formula

150 = π * (3/2)b * b

150 = 3.14 * 1.5b * b

150= 4.71 b^2

150/4.71 = b^2

=> b^2 = 31.8

b= 5.63

a = 3/2 * b

a = 1.5 * 5.63

a = 8.45

So, the length of major semiaxes a = 8.45 cm  and minor semiaxes b= 5.63 cm.

Answer:

Major: 8.5 cm

Minor: 5.6 cm

Step-by-step explanation:

Answer:

Mean because it is the average of all of them combined = best representation of all grades.

84% & Mean

Step-by-step explanation:

88 + 73 + 97 + 76 + 90 + 80 = 504

**divide by how many grades there are** (6 of them)

504 / 6 = 84

Meaning the best center representation would be 84%

Answer: The Mean

The mean is when you add up all of those grades and divide by the amount of exams.

Answer:

Hey No worries. Its very easy.

Step-by-step explanation:

Look,

Volume= 84 in.cube

Length=6 in.

Breadth=2 in.

therefore, Height= Volume/(Length*Breadth)

=84/(6*2)

=84/12

=7

Answer:

h = 7 in

Step-by-step explanation:

The volume (V) of a cuboid is calculated using the formula

V = lbh ( l is length, b is breadth and h is height )

Given V = 84 in³, then

lbh = 84 ← substitute l = 6 and b = 2

6 × 2 × h = 84

12h = 84 ( divide both sides by 12 )

h = 7

Answer:

x = 100°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 7, hence

sum = 180° × 5 = 900°

Sum the given interior angles and equate to 900

x + 155 + 116 + 135 + 135 + 116 + 143 = 900

x + 800 = 900 ( subtract 800 from both sides )

x = 100°

Answer:

The measure of the major arc MBD is 270°

Step-by-step explanation:

we know that

The measure of major arc MBD is equal to the sum of the measure of the arc MB plus the measure of the arc BD

BD is a diameter-----> divide the circle into two equal parts

so

arc BD=180°

arc MB is a quarter of circle

so

arc MB=90°

therefore

arc MBD=180°+90°=270°

Answer:

Step-by-step explanation:

[tex]|x-4|<9\iff x-4<9\ \wedge\ x-4>-9\qquad\text{add 4 to both sides}\\\\x<13\ \wedge\ x>-5\to-5<x<13[/tex]

Answer:

lower your mortgage interest rate

Step-by-step explanation:

The higher your credit score, the __lower your mortgage interest rate__.

Because the higher your credit score, the less risk you represent for a lender, so it will most likely grant you a lowest rate for your mortgage/loan.

The "lower your savings interest rate " is not the answer because savings interest rates are not related to the credit score...

"higher your car loan rate " and "higher risk you are to a creditor " are consequences of a low credit score.

Answer:

2.28i

Step-by-step explanation:

u divide the -125/216

then u square root it

and multiply it times 3

YES THE I IS FOR A REASON IT MEANS IT IS IMAGINARY

2.28i I think that’s the answer but I am not sure

Answer:

85 kilometers is equal to 85 000 meters

Step-by-step explanation:

1 kilometer is equivalent to 1000 meters. Then to convert from kilometers to meters use the following conversion factor

[tex]x\ kilometers * \frac{1000\ meter}{1\ kilometers }[/tex]

In this case [tex]x=85[/tex]

Then

[tex]85\ km* \frac{1000\ m}{1\ km} =85,000\ m[/tex]

Finally 85  kilometers = 85,000 meters

Answer:

Step-by-step explanation:

1km - one kilometer

kilo - 1,000 times more

1km = 1,000m

therefore

85km =85 × 1,000m = 85,000m

ANSWER

5 units up

EXPLANATION

The given function is

[tex]y = 2 {x}^{2} [/tex]

The new graph is

[tex]y = 2 {x}^{2} + 5[/tex]

The new function is obtained by adding 5 to the original function.

This will shift the graph up by 5 units.

The translation is a vertical shift up by 5 units.

Answer:

The translation is 5 units up

Step-by-step explanation:

+5 on the outside means up by 5

Answer:

1- none of the choices are correct.

2-none of the answer choices are correct.

Step-by-step explanation:

1- there is no k therefore none are correct because they all offer a solution for k

2- yes the parabola opens upward but none are right in the right mix for the other two. the vertex is at (0,-5) and the axis of symmetry is x = 0 (not only because I calculated it and the graph showed it but because (x,y) And the x spot is a 0)

any time you just see a plain x^2 or really anything like that in the same vanilla sense wether the exponent is changed or there is a coefficient and all it has is a plus or minus whatever it will just be along the y axis where the plus or minus number was. (can't remember any vanilla advice for parabolas sorry)

Answer:

1. a=5,h=0,k=0

2. None of the choices are correct

Step-by-step explanation:

1. The function given is:[tex]f(x)=5x^2[/tex]

We can rewrite this in vertex form as: [tex]f(x)=5(x-0)^2+0[/tex].

Comparing this to [tex]f(x)=a(x-h)^2+k[/tex], we have a=5,h=0 and k=0.

The first choice is correct

2. The function given is: [tex]f(x)=x^2-5[/tex]

This can be rewritten in the vertex form as:

[tex]f(x)=a(x-0)^2-5[/tex]

Comparing this to [tex]f(x)=a(x-h)^2+k[/tex], we have a=1,h=0 and k=-5.

Since 'a' is positive, the parabola opens upwards, and has its vertex at (h,k)=(0,-5), and line of symmetry at x=0.

Based on this, the correct choice is none of the choices are correct

Answer:

9 units

Step-by-step explanation:

Because you start at -3 and go up so you do not add the -9 its just 9

It's 9 units because there's no such thing as -9 units!

Answer:

Annie has 95 apples now

Answer:

Annie has 95 Apples

Step-by-step explanation:

7 Apples - 5 Apples = 2

2 + 3 more apples = 5 Apples

5 Apples - 2 Apples = 3 Apples

3 Apples + 9 more apples = 12 Apples

12 - 6 = 6 Apples

6 Apples + 89 more apples = 95 Apples

M refers to midpoint.

[tex]

A(9, 8) \\

B(-1, -2) \\

M(\frac{x_1-x_2}{2}, \frac{y_1-y_2}{2}) \\

M(\frac{9-(-1)}{2}, \frac{8-(-2)}{2}) \\

M(\frac{10}{2}, \frac{10}{2})\Longrightarrow\boxed{M(5, 5)}

[/tex]

Hope this helps.

r3t40

Answer: OCTOBER 16th

Step-by-step explanation: The teams will meet again on October 16th

[tex]\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$700\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(700)(0.15)(3)\implies I=315[/tex]

Essentially this question is asking, If we made circle O as big as circle O1, how could we move it to the same spot. Therefore, I would expect the Answer to be D.

Answer:

248.39

Step-by-step explanation:

421 × .59 =248.39

Answer: Angle 10 and Angle 2

Answer:

68% of exam scores lie within one std. dev. of the mean

Step-by-step explanation:

Because the standard deviation is 100, one standard deviation above the mean comes out to 600.  Likewise, one std. dev. below the mean comes out to 400.  By the Empirical Rule, 68% of exam scores lie within one std. dev. of the mean.

Answer:

[tex]P(400<x<600) = 68.3\%[/tex]

Step-by-step explanation:

We know that the average [tex]\mu[/tex] is:

[tex]\mu=500[/tex]

The standard deviation [tex]\sigma[/tex] is:

[tex]\sigma=100[/tex]

The Z-score is:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

We seek to find

P(400<x<600)

This is:

[tex]P(400<x<600)=P(\frac{400-500}{100}<\frac{x-\mu}{\sigma}<\frac{600-500}{100})\\\\P(400<x<600)=P(-1<Z<1)[/tex]

Looking for the value of z in a normal table we have to:

[tex]P(Z>1) =0.1587\\\\P(Z>-1) = 0.8413[/tex]

So

[tex]P(-1<Z<1)=P(Z>-1) - P(Z>1) =0.8413-0.1587=0.6826\\\\P(400<x<600) = 68.3\%[/tex]

Answer:

252 hours

Step-by-step explanation:

1 day = 24 hours

1 week = 7 days

= 24 * 7

= 168 hours

3 days = 24 * 3

= 72 hours

1/2 day = 24 / 2 = 12 hours

Add up all values/hours:

168 hours + 72 hours + 12 hours = 252 hours

Answer:

1 week- 168 hours

3 days-72 hours

1/2 day-12 hours

Step-by-step explanation:

1 week- 24x7=168

3 days- 24x3=72

1/2 day- 24x.5=12

I think 9 should be added to both sides.

cofficient of x = 6

half of it = 6/2 = 3

square the 3

to give 3 squared = 3*3 9

Answer:

9

Step-by-step explanation:

To make it a Perfect Square Trinomial, you can square root 9 and multiply it to get 6, therefore 9 is correct