4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.

a) 10 = 2(x-9)


b) 3(x+4) = 2(x+3) + 4

Answers

Answer 1

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2


Related Questions

Maria bought a bag of flour so that she can make muffins it has a mass of 2.26 kg Shanice 450 g of flour to make one batch of muffins how many kilograms of flour will remain after Maria make slime

Answers

Answer:

10 grams or 0.010kg

Step-by-step explanation:

The mass of the bag used to make flour is 2.26 kg = 2260 grams

Now, in order to find out how many badges she made, we would need to divide the weight of the bag by the amount needed to make a badge.

Therefore: [tex]\frac{2260}{450} = 5.02[/tex]

We know now that the bag will make 5 batches and will have some left over. In order to find how much we used, we can multiply 5 * 450 = 2250.

Therefore, in order to make 5 batches, Maria used exactly 2250 grams of flour which in result left us with 10 grams of the bag.

Note: 2260 -2250 = 10 grams.

Subtract, in order to find how many you have left.

Hope this helps.

After making one batch of muffins, Maria will have 1.8 kg of flour remain.

What is 1 kg when it is converted into grams?

1 kg will be 1000 grams when converted.

Given,

Maria bought 2.26 kg of flour = 2260 grams of flour.

To make 1 batch of muffins, Maria needs 450 grams of flour.

Therefore, the flour Maria has after making one batch of muffin = (2260 - 450) grams = 1810 grams.

Learn more about the conversion of kg to gram here: https://brainly.com/question/18811876

#Tag #SPJ2

Simplify: (x − 7)(6x − 3) A. 6x2 + 21 B. 6x2 + 39x − 21 C. 7x2 − 10 D. 6x2 − 45x + 21

Answers

Answer:

6x2−45x+21 D.

Step-by-step explanation:

(x+−7)(6x+−3)

=(x)(6x)+(x)(−3)+(−7)(6x)+(−7)(−3)

=6x^2−3x−42x+21

=6x^2−45x+21

pls mark me brainliest

Answer:

6x^2 -45x +21

Step-by-step explanation:

(x − 7)(6x − 3)

FOIL

first; x*6x = 6x^2

outer: -3x

inner: -7*6x = -42x

last: -3*-7 = 21

Add them together

6x^2 -3x-42x +21

Combine like terms

6x^2 -45x +21

Find the sum and classify the polynomial based on degree and number of terms. 3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9) (A.) 4th degree polynomial with 4 terms (B.) 4th degree polynomial with 3 terms (C.) 3rd degree polynomial with 3 terms (D.) 3rd degree polynomial with 4 terms

Answers

From the given polynomial , the sum is [tex]4n^4-6n^3+7n^2-9[/tex]

It is a 4th degree polynomial with 4 terms

Given :

The polynomial sum is

[tex]3n^2(5n^2 -2n +1) + (4n^2 -11n^4 -9)[/tex]

Distribute 3n^2 inside the parenthesis

[tex]15n^4-6n^3+3n^2+(4n^2-11n^4-9)\\15n^4-6n^3+3n^2+4n^2-11n^4-9\\combine \; like \; terms\\4n^4-6n^3+7n^2-9[/tex]

From the above polynomial , the highest exponent is 4

The degree of the polynomial is 4

Total we have 4 terms in the polynomial

So the final polynomial is

4th degree polynomial with 4 terms

Learn more : brainly.com/question/10024410

Answer:

A: 4th degree polynomial with 4 terms

Step-by-step explanation:

Find the interquartile range (IQR) in the data plot below. I WILL GIVE THE BRAINIESTTO THE RIGHT ANSWER!!!

Answers

Answer:

3.5

Step-by-step explanation:

0 1 1 3 3 3 4 5 7

median= 3

Q1= 1

Q3= 4.5

4.5-1= 3.5

Answer: 11...

If wrong I am soooo sorry

Solve C = 2Pi r for r .

A. r = Cpi/ 2

B. r = 2C/ pi

C. r = C/ 2pi

D. r = 2pi r

Answers

Answer:

D

Step-by-step explanation:

Given

C = 2πr ( isolate r by dividing both sides by 2π )

[tex]\frac{C}{2\pi }[/tex] = r → D

Anyone know this one? please help! thank you​

Answers

Answer:

24%

Step-by-step explanation:

You first add the boys because you know you only look at the boys not the girls. You get the answer 233. Then you divide the number of boys who chose Niagra Falls which is 56 over 233. You will get a decimal. You then multiply the decimal by 100 to get your answer. The answer would be 24.0343348% which would round to 24%.

Please help me find the properties of a square

Answers

Answer:

1)all the sides of the square are equal

2)all the angles in a square are 90°

3)diagonals are perpendicular to each other

4)diagonals are in equal length

I know this properties only

I hope it was helpful to u

Answer:

x=2

Step-by-step explanation:

Since all sides of the square are equal, hence here GD=FG

so,

8x = x+14

8x-x = 14

7x = 14

Dividing both sides by 7

x=2

What is the maximum of the following set of data?
1.2, 1.3, 1.2, 1.5, 1.6, 1.1, 1.0

Answers

Answer:

1.6

Step-by-step explanation:

The maximum is the greatest number

Answer:

1.6

Step-by-step explanation:

What is the volume of a hemisphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?

Answers

Answer:

volume of the hemisphere   ≈1577.5 cm³

Step-by-step explanation:

To find the formula for calculating the volume of a hemisphere, we will follow the steps below:

write the formula for calculating the volume of a hemisphere.

volume of a hemisphere = volume of a sphere ÷2

                                        = [tex]\frac{4}{3}[/tex]πr³   ÷   2

                                        =[tex]\frac{2}{3}[/tex] πr³

WHERE r is the radius

from the question given, radius= 9.2 cm  

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the equation

volume of a hemisphere =  [tex]\frac{2}{3}[/tex] πr³

                                          = [tex]\frac{2}{3}[/tex] × 3.14 ×9.2³

                                           = [tex]\frac{2}{3}[/tex] × 3.14 ×753.571

                                          ≈1577.5 cm³   to the nearest tenth of cubic centimeter

volume of the hemisphere   ≈1577.5 cm³

 

Answer:

3261.8

Step-by-step explanation:

how many pounds fit into one ton

Answers

2000 pounds fits into my 1 ton

Answer:

2000

Step-by-step explanation:

there are 2000 pounds in a ton

What’s the area of the triangle for this question

Answers

Answer:

75

Step-by-step explanation:

to find the area of a triangle, multiply the base by the height, and then divide by 2. the division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. for example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

Answer:

75

Step-by-step explanation:

The formula is hb/2

can you put 150 177 205 163 172 190 186 168 155 in order

Answers

150, 155, 163, 168, 172, 177, 186, 190, 205

Write the following as an equivalent product of conjugates:
(a) x^2 - 16
(b) 16x^2 - 49
(c) x^4 - 36

if u answer this ty

Answers

Answer:

Answers are below

Step-by-step explanation:

(a) (x+4)(x−4)    Factor the given expression

(b) (4x+7)(4x−7)   Factor the given expression

(c) (x²+6)(x²−6)   Factor the given expression

If these answers are correct, please make me Brainliest!

For a 11 1/5 mile trail ride, trail markers will be set up every 1/10 mile. How many markers are needed. Show work.

Answers

Answer:

112

Step-by-step explanation:

11 1/5 divied by 1/10

12 forge fjfhf reggae svgd

The following function is continuous at all points in the domain of real numbers. What is the value of n?
f(x)= 2x+2, if x > n
4x, if x [tex]\leq[/tex] n
A. -1
B. 0
C. 1/2
D.1

Answers

Answer:

D. 1

Step-by-step explanation:

To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.

Let's solve the following expression [tex]f(x)=g(x)[/tex], where [tex]f(x) =2x+2[/tex] and [tex]g(x)=4x[/tex]. So,

[tex]2x+2=4x\\2=4x-2x\\2x=2\\x=1[/tex]

Which means [tex]n=1[/tex], that is, if the n is greater than 1, then the function is defined by [tex]f(x)[/tex], if the n is least or equal than 1, then the functioni is defined by [tex]g(x)[/tex]

Therefore, the right answer is D.

Answer:

1. A, -1

2. D, 1

3. B, It is discontinuous because there is a value a for which f(a) is not defined 4. D, It is discontinuous because there is a value a such that lim f(x) does not exist

F and H are sets of real numbers defined as follows.

F={w | w>3}

H={w | w>6}

Write FUH and Fn H using interval notation.

If the set is empty, write Ø.

Answers

Answer:

[tex](a)F \cup H=(3, \infty)\\(b)F \cap H=(6, \infty)[/tex]

Step-by-step explanation:

Given the sets F and H of real numbers defined as given:

F={w | w>3}

H={w | w>6}

To write a set in interval  notation, we use these brackets, (  ) for < or > while we use [ or ] for [tex]\leq $ or \geq[/tex].

Since our sets are defined by strict inequalities(< or >)

In interval notation

[tex]F=(3,\infty), H=(6,\infty)[/tex]

[tex](a) F \cup H =(3,\infty) \cup (6,\infty) \\\\F \cup H=(3, \infty)\\\\(b) F \cap H =(3,\infty) \cap (6,\infty) \\\\F \cap H=(6, \infty)[/tex]

find the diagonal length of this figure

Answers

Answer:

the answer is,

11.18mm

by pythagoras theorem, you'll get base diagonal as 10mm, therefore the diagonal*marked red is 11.18mm.

Answer:

[tex]5\sqrt{5} \:mm[/tex]

or

11.18 mm

Step-by-step explanation:

length of diagonal

[tex]=\sqrt{l^{2} +w^{2}+h^{2} } \\=\sqrt{8^{2} +6^{2}+5^{2} } \\=\sqrt{64 +36+25 } \\=\sqrt{125 } \\=5\sqrt{5} \: mm\\=11.18 mm[/tex]

Can some one help me with 27?

Answers

Answer:

11.8

Step-by-step explanation:

Maybe D but I’m not sure

The container that hold water for the football team is 1/2 full. After poring 9 gallons of water , it is 5/6 full. How many gallons can the container hold?

Answers

Answer:

24 or 18 gallons

Step-by-step explanation:

Answer:

18 gallons. I think.

Justin rolled a number cube 48 times. The cube landed on the number six
4 times. Is the experimental probability greater than or less than the
theoretical probability? Explain.

Answers

Answer:

Dam emily really got the answer tho-

Step-by-step explanation:

Because i made a random acc and typed in this  to get the answer

2t+8= -10 answer for t​

Answers

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

you subtract 8 from both sides the -10 then becomes -18 then you divide it by 2

Sort of confused me, not really good with graphs so please help! :)

Answers

Answer:

Step-by-step explanation:

okay on your garph look at the line with the negative numbers and the line with positive numbers. Once you spot them, start with ploting (-8,0) fined -8 and make sure you also fined 0 on the positive line. You have to connect the line to make sure -8 and 0 are on the same line. Then do the same for 0,6 but both are on the positive line so it won't be hard

Pls help I will really appreciate it

Answers

Answer:

Side KL.

Step-by-step explanation:

Side KL will have a negative slope due to the reflection of side 1 , then the 90 degree clockwise rotation will  will take it down  towards the x axis and it will then have a positive slope,

Which expression best estimates

Answers

Answer:

Step-by-step explanation:

-18 1/4 rounds down to -18 and 2 2/3 rounds up to 3.  Then -18/3 = -6

(7 x 10^5) divide (2 x 10^2)

Answers

Answer:

3.5 ⋅ 10^3

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

(7 x 10^5) divide (2 x 10^2)

(7 x 100000) divide (2 x 100)

700000 divide 200

500

Lee has a bag with 500 quarters. Some are the older eagle quarters, and others are the newer state quarters. She pulls out 10 quarters at random. Four are eagle quarters, and 6 are state quarters. Based on this sample, how many of the quarters in the full bag were likely to be eagle quarters? 400 200 100 300

Answers

Answer:

400

Step-by-step explanation:

The number of eagle quarters likely to be in the bag is 200.

Option B is the correct answer.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of quarters = 500

Out of the 10 quarters.

Eagle quarters = 4

This means,

Percentage of eagle quarters,

= 4/10 x 100

= 40%

Now,

40% of 500 quarters.

= 40/100 x 500

= 200

Thus,

The full bag is likely to have 200 eagle quarters.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ5

7 ∙ 15 can be written as _____.

5(7 + 10)
10(7 + 5)
7(10 + 5)

Answers

Answer:

7(10+5)

Step-by-step explanation:

5(17)

10(12)

7(15)

Answer:

The answer would be 7(10+5)

Step-by-step explanation:

7(10) + 7(5)

70        35

     105

Have a good day!!

PLZ HELP ME HURRY I NEED THE ANSWER ASAP!!!!!!!!

Answers

Answer:

The answer is D

Answer:

d

Step-by-step explanation:

How to find the missing side of this triangle

Answers

Answer

3√21 cm

I hope it helps

Shen picks a rational number. What is true about the opposite of his number?

Answers

Answer:

It is the same distance from 0 as the original number

a rational number is any number that can be written as a fraction.

lets say she picked 1/4...the opposite would be -1/4...both are equidistant from 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Opposite:  Shen's number changes sign, e. g., -2 to +2.

If you meant "reciprocal," then you must ensure that the denominator of the 'new' number is never zero.  3/5  =>  5/3 is ok.   But x/6  = 6/x is OK ONLY for x not equal to zero.

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