PLEASEE HELPPP TEST DUE IN 20 MINUTES!! A Question 2 (2 points) Retake question
When solving the following equation by completing the square, what would you add
to both sides of the equation in order to complete the square? X^2-10x =3
6
3
15
25
9
10
1

Answer:

8.66

Step-by-step explanation:

because when you know the long leg you multiply 3 square root by the long leg in this case 5

Answer:

[tex]\frac{1}{2}[/tex]

Find the least common factors of both numbers.

[tex]1/3~has~4\\2/12~has~1[/tex]

Multiply the numerator and denominator.

[tex]\frac{1 * 4}{3 * 4} = \frac{4}{12} \\\\\frac{2 * 1}{12 * 1} = \frac{2}{12}[/tex]

Add both numbers together. That does not mean you have to add the denominators. When the denominators are the same, keep them the same.

[tex]\frac{4}{12} +\frac{2}{12} = \frac{6}{12}[/tex]

Simplify.

[tex]\frac{6}{12} -- > \frac{1}{2}[/tex] because they are both halves.

Part I: Determining the common denominator of the terms

Given expression:

[tex]\dfrac{1}{3} + \dfrac{2}{12}[/tex]

To simplify the expression, we need to determine the common denominator of both fractions (1/3 and 2/12). To determine the common denominator of both fractions, we need to determine the LCM of the denominators (12 and 3). Simply write the multiples of (12 and 3) and determine the least common multiple (LCM).

Since the LCM is 12, our common denominator is 12.

Part II: Multiplying both denominators by a number which is equivalent to 12

Now, multiply both denominators by a number such that the denominators are equivalent to 12. Keep in mind that the number you multiply the denominator should also be multiplied to the numerator.

[tex]\implies \dfrac{x}{3x} + \dfrac{2y}{12y} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}3x = 12; 12y = 12\huge\text{]}[/tex]

[tex]\implies \dfrac{4}{3(4)} + \dfrac{2(1)}{12(1)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}x = \dfrac{12}{3} = 4; y = \dfrac{12}{12} = 1 \huge\text{]}[/tex]

[tex]\implies \dfrac{4}{12} + \dfrac{2}{12}[/tex]

Part III: Adding the fractions

Since the denominators are the same, we can now add the fractions;

[tex]\implies \dfrac{6}{12}[/tex]

Part IV: Simplifying the fraction obtained from the above

Since 6 is divisible by 12, we can further simplify the fraction.

[tex]\implies \dfrac{6 \times 1}{6 \times 2}[/tex]

[tex]\implies \boxed{\dfrac{1}{2}}[/tex]

Answer:

[tex]x \sqrt[12]{ {x}^{5} } [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ {x}^{2} } \sqrt[4]{ {x}^{3} } [/tex]

[tex] {x}^{ \frac{2}{3} } {x}^{ \frac{3}{4} } = {x}^{ \frac{8}{12} } {x}^{ \frac{9}{12} } = {x}^{ \frac{17}{12} } = {x}^{ \frac{5}{12} } x = x \sqrt[12]{ {x}^{5} } [/tex]

Answer:

[tex]x=\frac{e^7-3}{7}[/tex]

Step-by-step explanation:

4* ln(7x+3) + 12 = 40

4* ln(7x+3) + 12 - 12 = 40 - 12

4* ln(7x+3) = 28

ln(7x+3) = 28/4

ln(7x+3) = 7

e^7 = (7x + 3)

e^7 - 3 = 7x

[tex]x=\frac{e^7-3}{7}[/tex]

Answer:

1/22

Step-by-step explanation:

Its 1/22 because that is the total probability of your name being drawn for the prize

Answer:

Richard

Step-by-step explanation:

40÷4 weeks(28 days)=10

Nestor:45÷5=9

Answer:

32

Step-by-step explanation:

he needs to put 2 pounds on the other side as well

16 ounces is a pound

16×2=32

32

16 ounces are equivalent to a pound. So 16x2= 32 which is your answer.

Answer:

6 times

Step-by-step explanation:

Answer:

8 can go into 51 six(6) times

Answer:

6 x 25 = 150-40=110

Step-by-step explanation:

It's right I promise you

Answer:

D. -2x - 8

Step-by-step explanation:

1) Simplify 1/3(6x+15) to 6x+15/3

-6x+15/3 - 3

2) Factor out the common term 3.

-3(2x+5)/3 - 3

3) Cancel 3.

-(2x+5)-3

4) Remove parentheses.

-2x-5-3

5) Collect like terms.

-2x+(-5-3)

6) Simplify

-2x-8

Answer:

1a. x=3 y=3

1b. x=-7 y=-21

1c. x=¼

2a. a(a-2)-b(2+b)

2b. a²(a²-3)+1

Step-by-step explanation:

a .

x + y = 6

+

2x - y = 3

3x = 9

3x/3 = 9/3

x = 3

x + y = 6

y = 6 -x

y = 6 - 3

y = 3

b.

2x - y = 7

+

y = 3x

2x = 3x + 7

2x - 3x = 7

x = -7

y = 3x

y = 3(-7)

y = -21

c.

[tex] {x}^{2} + \frac{1}{16} = \frac{x}{2} [/tex]

[tex] {x}^{2} + \frac{1}{16} - \frac{x}{2} = 0[/tex]

[tex]16( {x}^{2} - \frac{x}{2} + \frac{1}{16} ) = 0[/tex]

[tex]16 {x}^{2} - 8x + 1 = 0[/tex]

[tex](4x - 1)(4x - 1) = 0[/tex]

[tex]x = \frac{1}{4} [/tex]

2.

a.

[tex] {a}^{2} - 2a - 2b - {b}^{2} [/tex]

[tex]a(a - 2) - b(b + 2)[/tex]

Answer: a) (3,0.5) b)(28/13, 47/13)

1)7x+4y=23

8x-10y=19

70x+40y=230

32x-40y=76

102x=306

x=306/102=3

7(3)+4y=23

21+4y=23

4y=2

y=1/2

2)Step-by-step explanation:

11x-6y=2

-8x+5y=3

Multiply the first equation by 5 and the second by 6.

55x-30y=10

-42x+30y=18

Now add both of the new equations

13x=28

x=28/13

Now plug it into the first equation to find y

11(28/13)-6y=2

308/13-6y=2

y=47/13

Answer:

i think its 9 m if im wrong im sry  T_T

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

All ways:

Exact form:

32/5

Decimal Form:

6.4

Mixed Number Form:

6 2/5.

CANNOT BE SIMPLIFIED IN ANY WAY

The expression that is equivalent to [3/(x + 1)] ÷ 1/(x + 1)] after simplification is gotten as; 3

We want to simplify the expression;

[3/(x + 1)] ÷ 1/(x + 1)]

This fraction expression will be re-expressed as;

[3/(x + 1)] * (x + 1)/1

x + 1 will cancel out to give us the expression as;

[3/(x + 1)] * (x + 1)/1 = 3

Read more about simplification of fractions at; https://brainly.com/question/6109670

Answer:

Step-by-step explanation:

c

Answer:

a=-7

Step-by-step explanation:

2a=-2+4(a+3)

2a=2+4a+12

2a=4a+14

-2a/-2a=14/-2a

a=-7

Answer:

(C) 6+4+10/15+3/15

Step-by-step explanation:

2/3=10/15

1/5=3/15

6+4+13/15

10 13/15

Answer:

I believe the answer is A. 15-(3xy)

Step-by-step explanation:

The expression you are given is 15-(yx3) and option A is 15-(3xy). All they did was flip the values in the parentheses. It doesen't matter what value is first because the negative sign will be distributed to everything in the parentheses.

Hope this helps!!

Mark me brainliest please!

Answer: hii

Graph the line using the slope and y-intercept, or two points.

Slope: −3/4

y-intercept: (0,−5)

x   {}   y

0  {}  −5

4  {}  −8

Step-by-step explanation:

Hopefully this helps you

- Matthew

My personal ranking of the insurances to have are:

This refers to the use of images, charts, graphs, etc to present information in such a way that the data used is easily identifiable.

Hence, we can see that when ranking insurance, health insurance should be higher than others (my opinion of course) because in the case of a medical emergency, treatment and care can be given.

Read more about insurance here:
https://brainly.com/question/25855858

#SPJ1

Answer:

yea im a bosss yea

Step-by-step explanation:skrrt do your work dont cheat

The value of x in the given quadratic equation is determined as -7 ± 8i.

The solutiion to the linear equation is determined as follows;

x² + 14x + 17 = -96

x² + 14x + 17 + 96 = 0

x² + 14x + 113 = 0

solve the equation using formula method;

a = 1, b = 14, c = 113

[tex]x = \frac{-b \ \ \pm\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{- 14\ \ \pm\sqrt{(14)^2 - 4(1\times 113)} }{2(1)} \\\\x = \frac{- 14\ \ \pm\sqrt{-256} }{2}\\\\x = \frac{- 14\ \ \pm\sqrt{256} \times \sqrt{-1} }{2}\\\\x = \frac{-14 \ \ \pm 16 \times i}{2} \\\\x = -7 \pm 8i[/tex]

Thus, the value of x in the given quadratic equation is determined as -7 ± 8i.

Learn more about quadratic equation here: https://brainly.com/question/1214333

Answer:

-7 ± 8i.

Step-by-step explanation:

I took the test

Answer:

8 home games and 10 away games

Step-by-step explanation:

Total home goals

= 8 +5 +9 +8 = 30

Number of home games

= 30/3.75 = 8

Total away game goals

= 7 + 8 + 4 + 5 = 24

Number of away games

= 24/2.4 = 10

Easy Peasy :) Hope this helped! <3 brainliest please :)

Answer:

10 away games and 8 home games

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Let x be his speed at the morning, in miles per hour.

Then his speed after lunch was (x+10) mph.

2x + 3(x+10) = 220.

2x + 3x + 50 = 220

Answer:

50%

Step-by-step explanation:

32 -> 100%

16 -> ?%

=> 16 * 100 / 32 = 50 %