(8x+1)÷5=3x-6

find x

Answer:

Option C

Step-by-step explanation:

To find the nature of the roots we use the Discriminant formula which is:

[tex]D=b^2-4ac[/tex]

and given the equation and compare with the standard quadratic equation

[tex]x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0[/tex]

Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula

[tex]D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161[/tex]

Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the  the  Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's  value is a whole number then it is rational and so 161 has a square roots in points which is

[tex]D=\sqrt{161} \\D=12.6885[/tex]

So our answer is real , irrational and unequal which is Option C

Answer:

150 and -150

Step-by-step explanation:

For question number 2...

You started off with an energy level of 250 and something was added to make it 400.

To figure out what this "something" was, you simply subtract the numbers.

400 - 250 = 150

For question number 3...

You start off with 325 and end with 175. Here, the outcome is smaller or less than what you started with. So, you know that you took away a certain amount of energy. To figure that out, you again subtract.

325 - 175 = 150

To make the equation make sense, you would subtract 150.

So the answer would -150.

Answer:

[tex] \frac{6}{19 } [/tex]

Step-by-step explanation:

6 + 5 + 7 + 1 + 0 = 19

Answer:

4/3 or 1 and 1/3 or 1.33333 repeating

Step-by-step explanation:

you have 4 granola bars and 3 friends and you want to divide them among 3 friends

4/3

Answer:

1.3recuring or 3/4

Step-by-step explanation:

hope it helps

Answer: 120

B

Step-by-step explanation: got it right on edge

Answer:

B.) 120

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

B you add 4. a negative plus a positive is a negative. -15 +4 is -11

Answer:

5^20 • 7^40

Step-by-step explanation:

each exponent needs to multiply each 10.

Answer:

D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Step-by-step explanation:

Original Equation=  [tex](5^2 \cdot 7^4)^{10}[/tex]  

Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]

= [tex](5^2)^{10}[/tex]  x   [tex](7^4)^{10}[/tex]

Distribute them

= [tex]5^{20}[/tex]  x  [tex](7^4)^{10}[/tex]

= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Hope this helps!

Answer:

First question

The correct option is  A  

Second question

  The  correct option is  E

Step-by-step explanation:

From the question we are told that

    The  population  mean is  [tex]\mu = 50 \ mpg \ (miles \ per \ gallon )[/tex]

     The  sample size is  n = 30  

      The population standard deviation is  [tex]\sigma = 2.3 \ miles[/tex]  

      The sample mean is  [tex]\= x = 49 \ mpg[/tex]

        The  level of significance is  [tex]\alpha = 0.05[/tex]

The  null hypothesis is [tex]H_o : \mu = 50 \ mpg[/tex]  

The  alternative  hypothesis is  [tex]H_a : \mu < 50 \ mpg[/tex]

Generally the test statistics is mathematically represented as

       [tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>     [tex]t = \frac{ 49 - 50 }{ \frac{2.3}{ \sqrt{30 } } }[/tex]

=>     [tex]t = -2.38[/tex]

Generally the degree of freedom is mathematically represented as

       [tex]df = n - 1[/tex]

       [tex]df = 30 - 1[/tex]

       [tex]df = 29[/tex]

Generally from the student t distribution table the probability corresponding to  -2.38 to  the left  at a degree of freedom of [tex]df = 29[/tex] is  

           [tex]p -value = P( t < -2.38 ) = 0.0174[/tex]

From the value obtained we see that

           [tex]p-value < \alpha[/tex]  hence  

The decision rule  

Reject  the null hypothesis  

The conclusion is  

There evidence to reject the manufacturer's claim because the p-value of  0.0174 is less than the significance level E

Answer:

x = -4

y = -6

Step-by-step explanation:

I just use my calculator to do this

Answer:

No

Step-by-step explanation:

Answer:

We conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Step-by-step explanation:

Given

We know that the slope-intercept form of the line equation is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

substituting m = -5/4 and the point (-4, 7)

[tex]y = mx+b[/tex]

[tex]7=\:\frac{-5}{4}\left(-4\right)+b[/tex]

[tex]-\left(-5\right)+b=7[/tex]

[tex]5+b=7[/tex]

subtract 5 from both sides

[tex]5+b-5=7-5[/tex]

[tex]b=2[/tex]

now substituting b = 2 and m = -5/4 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Therefore, we conclude that the equation in slope-intercept form for this line will be:

[tex]y\:=\:\frac{-5}{4}x+2[/tex]

Answer:

112

Step-by-step explanation:

A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches

Answer:

112 inches

Step-by-step explanation:

Answer:

0.32

Step-by-step explanation:

Because I know

Answer:

33 cents.

Step-by-step explanation:

Answer:

i believe its 163.475 pounds of candy

Step-by-step explanation:

i multiplied 25.15 by 6.5

Answer:

163.475 pounds of candy.

Step-by-step explanation:

If the machine can make 25.15 pounds of candy in 1 hour, then you just multiply 25.15 pounds by 6.5 hours to get the answer.

Answer:

Step-by-step explanation:

steps are stated below

step 1

(x-5^2)-7=93  equation

step 2

x-5^2-7=93  remove brackets

step 3

x-5^2-7=93  simplify

x+(-25)+(-7)=93

step 4

(x)+(-25+-7)=93  combine the tems

x+(-32)=93

step 5

x+(-32)=93  change the symbols

x-32=93

step 6

x-32(+32)=93(+32)  add +32 to both sides so we can get our answer

x=-0=93+32

x=125

Answer:

x=15, x=-5

Step-by-step explanation:

Solve:

[tex](x-5)^2-7=93[/tex]

Adding 7:

[tex](x-5)^2=93+7[/tex]

[tex](x-5)^2=100[/tex]

Taking square roots:

[tex]x-5=\sqrt{100}[/tex]

Recall a square root has two possible answers:

[tex]x-5=\pm 10[/tex]

Adding 5:

[tex]x=5\pm 10[/tex]

There are two answers:

[tex]x=5+ 10=15[/tex]

[tex]x=5- 10=-5[/tex]

Answers: x=15, x=-5

Answer:

just like you did it all right before the text was released

Answer:

1 percent of 250? = 27.5.

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

20/80 in can be reduced to 1/4 and 1/4 equals 25%.

We have:

[tex]\dfrac{20}{80} = \dfrac{\%} {100}[/tex]

Solving for %:

[tex]\% = \dfrac{20\cdot 100}{80} = 25\%[/tex]

Answer:

She would get 0.25 cents

Step-by-step explanation:

what you would do is add 24.97, 17.23 and 7.55 together and get a total of 49.75 and subtract that from 50 and get 0.25

please mark me brainliest

Answer:0.25

Step-by-step explanation:

Answer:

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

solving the system by the elimination method

[tex]\begin{bmatrix}4x+6y=-12\\ 2x+3y=4\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}2x+3y=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:4x+6y=8[/tex]

[tex]\begin{bmatrix}4x+6y=-12\\ 4x+6y=8\end{bmatrix}[/tex]

subtracting the equations

[tex]4x+6y=8[/tex]

[tex]-[/tex]

[tex]\underline{4x+6y=-12}[/tex]

[tex]0=20[/tex]

0 = 20 is false, therefore the system of equations has no solution.

NO SOLUTION

Answer:

❤️❤️❤️❤️

Answer:

Six division word problems answer had to be correct!

Got You✌

Answer:

68 or 62 degrees

Step-by-step explanation:

If the 56 degree angle is one of the base angles of the triangle, you can multiply it by two (because base angles of an isosceles triangle

are congruent), and then subtract 180 (because you must subtract the sum of two angles from 180 to get the measure of the third angle).

If the 56 degree is not a base angle, then you can use this equation to get the measurement of each base angle:

(180-56)÷2=measure of each base angle

180=sum of angle measures in a triangle

56=measure of third angle

With 180-56, you get the sum of the base angles, so you must divide by two. (Base angles of an isosceles triangle are congruent)

The other angles that could be in that  isosceles triangle should be considered as the 56°, 68°, or 62°.

Since One angle of an isosceles triangle measures 56°.

So in the case when  56° angle is one of the two congruent angles, so the remaining angles are 56° and 180-2(56) = 68°

Now

In the case when the is 56° Is not congruent to either of the other angles, so each of the remaining two angles should be [tex](180-56)/2[/tex]= 62°.

hence, The other angles can be 56°, 68°, or 62°.

learn more about an angle here: https://brainly.com/question/24283305

Answer:

86.36%

Step-by-step explanation:

Answer:

116%

Step-by-step explanation:

990% of 855 = 1.15789473684  or

= about 116%

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

Given that:

[tex]1\frac{1}{4}[/tex] cups of milk make 10 servings

[tex]1\frac{1}{4}[/tex] can also be written as 1.25

Ratio of cups of milk to servings = 1.25 : 10

1 gallon = 16 cups

Let,

x be the number of servings made from 1 gallon

Ratio of cups of milk to servings = 16 : x

This is a direct proportion

1.25 : 10 :: 16 : x

Product of mean = Product of extreme

10*16 = 1.25x

160 = 1.25x

1.25x=160

Dividing both sides by 1.25

[tex]\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128[/tex]

Hence,

128 servings can be made using 1 gallon of milk.

Answer:

Answer: A. S(n) =11+4n

Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.

Answer:

I think it is $59.5

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

40 + -40 = 0

Step-by-step explanation:

hope this helps!

Answer:

40 + -40 =0 (your answer)

2538494 + -2538494 = 0 (example)

4 + -4 = 0 (example)

-18 + 18 = 0 (example)

-82 + 82= 0 (example)

just as long as the first number and the second number are the same, and one is negative and the other is positive, added together the two numbers will equal zero.