35 points answer quickly please. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers. (a) 2x+4(x-1)=2+4x (b) 25-x=15-(3x+10) (c) 4x=2x+2x+5(x-x)

Answers

Answer 1

Answer:

[tex]\large \boxed{\mathrm{(a) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(b) \ One \ solution}} \\ \\ \large \boxed{\mathrm{(c) \ All \ real \ numbers}}[/tex]

Step-by-step explanation:

2x+4(x-1)=2+4x

Expand brackets.

2x+4x-4=2+4x

Combine like terms.

6x-4=2+4x

Subtract 4x from both sides.

Add 4 to both sides.

2x=6

Divide both sides by 2.

x=3 (One solution)

25-x=15-(3x+10)

Distribute negative sign.

25-x=15-3x-10

25-x=-3x+5

Add x and -5 to both sides.

20=-2x

Divide both sides by -2.

-10=x (One solution)

4x=2x+2x+5(x-x)

Solve for brackets.

4x=2x+2x+5(0)

4x=2x+2x

Combine like terms.

4x=4x

Divide both sides by 4.

x=x

All real numbers are solutions. (All real numbers)


Related Questions

find the greatest common factor of 72 90 and 126
Pls show working ​

Answers

72    90    126............ (2)

36    45     63..............(3)

12     15      21...............(3)

4       5       7................can't be divided more.

So, 2 x 3 x 3 = 18 is the biggest common factor of 72, 90, and 126.

Answer:

6

Step-by-step explanation:

72={1,2,3,4,6,8,9,12,18,24,36,72}

90={1,2,3,5,6,9,10,15,18,30,45,90}

126={1,2,3,4,6,7,9,1418,21,42,63,126}

Common factors of 72,90 and 126

1,2,3,4,6

6 is greater than 1, 2, 3 and 4.

Hope this helps ;) ❤❤❤

12x+4(x-1)=60
solve please

Answers

Answer:

Hey there!

12x+4(x-1)=60

12x+4x-4=60

16x-4=60

16x=64

x=4

Let me know if this helps :)

Answer:

x=4

Step-by-step explanation:

8+(-3) full work thx If u can help

Answers

Answer: 5

Step-by-step explanation:

 8+(-3)

=8-3 ⇔ you don't need to change signs when it is positive(+) outside the parenthesis

=5 ⇔ subtraction

#CarryOnLearning

Negative +positive =a negative number
+(-)= -
8+(-3) =8-3
=5

Chloe wants to net 50000 on her house. Her closing costs will be 8000 plus 7% commission. She owes 200000 on her loan . What is the minimum contract price that she can accept for the property?

Answers

Answer:

$277,419

Step-by-step explanation:

Relevant Data provided as per the question is

Net amount = 50,000

Closing cost = 8,000

Loan amount = 200,000

Commission percentage = 7%

According to the given situation, the calculation of the minimum contract price is shown below:-

[tex]Minimum\ contract\ price = \frac{(Net\ amount\ +\ Closing\ cost\ +\ Loan\ amount) }{Remaining\ percentage}[/tex]

[tex]= \frac{(50,000 + 8,000 + 200,000)}{(100\% - 7\%)}[/tex]

[tex]= \frac{258,000}{93\%}[/tex]

= $277,419

Therefore for calculating the minimum contract price we simply applied the above formula.

Help plzzzzzzz......​

Answers

Answer:

A. England = 56000000

B. 1.046 * 10^7

C. 9.7 to 2sf

Step-by-step explanation:

A. England = 5.60*10000000

=56000000

B. Wale = 3.14*1000000 = 3140000

Scotland = 5.44*1000000 = 5440000

Northern Ireland = 1.88*1000000 =1880000

Total = 10460000

In standard form =1.046*10^7

C. Total population as at 2018 = 66460000

expected population by 2041 = 72900000

increase or change = (72900000 - 66460000) = 6440000

% change = (6440000/66460000)*100

= 0.0969003912 * 100

= 9.69003912

= 9.7 to 2sf

Find all real zeros of the function f(x)= 12 A. 5,7 B. 12 C. 1 D. none

Answers

Answer:

D. None

Step-by-step explanation:

Given the function f(x) = 12, the function is only a constant with no degree. For a function to have roots, it must have at least degree of 1. Let us write the function f(x) = 12 in terms of x

f(x) = 12x⁰

From the function above it can be seen that the introduction of x⁰ can not in any way affect the function of x because x⁰ will return 1.

From the function, it can be seen that the highest power of the variable x is zero. This means that the function has no roots.

Hence, there are no real zeros of the function.

What is the image point of (3,1) after a translation left 3 units and up 3 units?

Answers

Answer:

0,4

Step-by-step explanation:

When yo go  3 to the left for x you get back to 0 and when you go up 3 for 1 you go up to 4.

Answer:

(0,4)

Step-by-step explanation:

its right

The value of 5s in 25,578

Answers

Answer:

500 and 5,000

Step-by-step explanation:

The value of the first 5 is five hundred (500)

The value of the second is five thousand (5,000)

The place value of 5 in the number 25,578 is 500 and 5,000.

What is a place value?

The value of each digit in a number is known as the place value. The 5 in 5,006 signifies 5 thousand, or 5,000, while the 5 in 350 represents 5 tens, or 50. Children must learn that while a digit can have the same value, its value changes depending on where it appears in the number.

A number is a numerical unit of measurement and labeling in mathematics. The first examples are the numbers 1, 2, 3, and 4.

The place value of 5 in the number 25,578 will be calculated as below:-

The value of the first 5 is five hundred 500.

The value of the second is five thousand 5,000.

Therefore, the place value of 5 in the number 25,578 is 500 and 5,000.

To know more about the place value of the numbers follow

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A diver swims 5.875 feet up to the surface of the water which number represents the divers position in relation to the surface before swimming to the top -5.9 ft -5 3/4 -58 or -5 7/8

Answers

Answer:

-5 7/8 = -5.875

Step-by-step explanation:

Before swimming to the top, the swimmer was 5.875 ft down

Answer:

-5 7/8 feet

Step-by-step explanation:

The opposite of 5.675 is 5 7/8 feet (I don't know if the explanation is right but the answer is)

Does The Point(6, 10)satisfy the inequality
8x + 2y ≤ 2 ? yes no

Answers

Answer:

No

Step-by-step explanation:

Substitute (6, 10 ) into the left side of the inequality and compare value with right side.

8(6) + 2(10) = 48 + 20 = 68 > 2

Thus (6, 10 ) is not a solution of the inequality

you move left 1 unit and up 1 unit. you end at (-5, 5) where did you start?​

Answers

Answer:-4,4

Step-by-step explanation:

Because, -4 plus -1 is -5 and 4+1 is 5, hope this helps

>~<

Step-by-step explanation:

(-6,1)

how many centimetre square are there in a rectangle of 10cmby5cm

Answers

Answer:

30cm²

Step-by-step explanation:

Since there are two 10 centimeter sides, this can be shown as 10cm×2=20cm. Since there are two 5 centimeter sides, this can be shown as 5cm×2=10cm. 20cm+10cm=30cm².

WILL MARK BRAINLIEST IF CORRECT!!!!!!!!!!! :) (IMAGE ATTACHED)

Answers

Answer:

B

Step-by-step explanation:

just did it

Answer:

[tex]\huge\boxed{Option \ B: 5\sqrt[3]{10} + 4\sqrt[3]{10} }[/tex]

Step-by-step explanation:

[tex]\sf 9\sqrt[3]{10} \\We \ can \ split \ 9 \ into\ 5 \ and \ 4\\(5 + 4)\sqrt[3]{10} \\Applying distributive property\\5\sqrt[3]{10} + 4\sqrt[3]{10}[/tex]

The model below shows the product of two fractions. Which expression does the
model represent?

Answers

Answer:

  [tex]\dfrac{3}{4}\times\dfrac{1}{4}[/tex]

Step-by-step explanation:

3 of the 4 rows of the figure are shaded, so that shading represents the fraction 3/4.

1 of the 4 columns of the figure is shaded, so that shading represents the fraction 1/4.

Where the shaded rows and column overlap, the product is represented. That product is ...

  3/4 × 1/4

Answer:

3/4 x 1/4

Step-by-step explanation:

it was right

Find the distance between (-4,-1) and (-3,-1).

Answers

Answer:

The answer is 1 unit

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,-1) and (-3,-1)

The distance between them is

[tex]d = \sqrt{ ({ - 4 + 3})^{2} + ({ - 1 + 1})^{2} } \\ = \sqrt{ ({ - 1})^{2} } \\ = \sqrt{1} [/tex]

We have the final answer as

1 unit

Hope this helps you

2x – 5 + 3x + 12

5x + 7

Answers

Answer:

x=-5

Step-by-step explanation:

I used my ti-84 plus ce calculator to calculate this

>math

>numerical solver

>type equation

>enter

>you answer appears

Answer this question​

Answers

Answer:

Option C

Step-by-step explanation:

angle B = angle C

angle B + angle C = angle DAC

angle DAC = 2 x angle DAX

angle DAX = 70 deg

=> angle DAC = 2 x 70 = 140 deg

=> angle B = angle C = 70 deg

HELP ME PLEASE
Evaluate each one. Then tell if starting number (100) grew or decreased.
Warm Up
Evaluate.
1. 100(1.08)^20
2. 100(0.95)^25
3. 100(1 - 0.02)^10
4. 100(1 + 0.08)^-10
IS IT DECREASING OR INCREASING??!???

Answers

Answer:

Decreased  

Step-by-step explanation:

Susan plans to rent a bike in New Orleans to tour the city. The cost of the rental is $20 per day. The cost of a helmet is $7 for as long as Susan needs the bike. Barbara has $250 to rent a bike for 15 days. Does Barbara have enough money? Explain. First answer gets Brainiest and 48 points hurry please tho

Answers

Answer:

No, she does not.

Step-by-step explanation:

Using the words here, we can create the expression [tex]20d + 7[/tex] where d is the number of days.

We can now substitute 15 in as d, to see how much this will cost.

[tex]20\cdot15 + 7\\\\300+7\\\\307[/tex]

So the total cost will be $307.

Since $307 is more than $250, she does not have enough money.

Hope this helped!

Factorise:
8 x 3 + 729 +10800² + 486X.

Answers

Answer:

(2x+9)  ^3

Step-by-step explanation:

 (((8 • (x3)) +  729) +  (22•33x2)) +  486x

 ((23x3 +  729) +  (22•33x2)) +  486x

Factoring:  8x3+108x2+486x+729  

 8x3+108x2+486x+729  is a perfect cube which means it is the cube of another polynomial  

 In our case, the cubic root of  8x3+108x2+486x+729  is  2x+9  

 Factorization is  (2x+9)3

Hope this helped


Hadley buys 7 boxes of markers with 8
in each box. Delaney buys 6 boxes of
markers with 12 markers in each box.
How many markers did Hadley and
Delaney buy in all?

Answers

Answer:

128 markers.

Step-by-step explanation:

7 x 8 =  56

12 x 6 = 72

72+ 15 = 87

Hadley and Delaney therefore bought 128 markers all in total.

Hope I helped ! :))))))

The amount of markers Hadley and Delaney bought in all is equal to 128 markers.

Given  the following data:

Hadley = 7 boxes of markers with 8  in each box.Delaney = 6 boxes of  markers with 12 markers in each box.

To determine the amount of markers Hadley and Delaney bought in all:

First of all, we would determine the total number of marker in each box.

For Hadley:

[tex]Hadley = 7 \times 8[/tex]

Hadley = 56 markers

For Delaney:

[tex]Delaney = 6\times 12[/tex]

Delaney = 72 markers

Now, we can find the total markers:

[tex]Total \;markers = Hadley + Delaney\\\\Total \;markers = 56+72[/tex]

Total markers = 128 markers

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PLEASE HELP WITH 1-3 ILL MARK U THE BRAINLIEST

Answers

Answer:

1:A(-6,-1) B(-14,0) C(-11,4)

2:D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

3:H(-4,1) I(-4, 6) J(0,6) K(0,1)

Step-by-step explanation:

Before we begin, lets define the transformations:

(x, y)

T(a, b) = (x+a, y +b)

Rxaxis = (x, -y)

Ryaxis = (-x, y)

r(180, 0) = (-x, -y)

D.5(1/2x, 1/2y)

R(-90, O) = (-y, x)

1. T. A(6,-1) B(14,0) C(11,4)

   Rx. A(6, 1) B(14,0) C(11,-4)

   r180 A(-6,-1) B(-14,0) C(-11,4)

2. Rx D(-12,-6) E(-4,-6) F(-6, -9) G(-10, -9)

   Ry D(12,-6) E(4,-6) F(6, -9) G(10, -9)

   D.5 D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

3. Rx=1 H(-1,2) I(4, 2) J(4,-2) K(-1,-2)

   T H(1,4) I(6, 4) J(6,0) K(1,0)

   r-90 H(-4,1) I(-4, 6) J(0,6) K(0,1)

write the equation of the line that passes through (3, 4) and (2,-1) in point slope form

Answers

Step-by-step explanation:

Using Point Slope formula :

[tex](y - y_1) = \frac{(y_2 - y_1)}{(x_2 - x_1)} (x - x_1)[/tex]

[tex](y - 4) = 5(x - 3)[/tex]

[tex]y = 5x - 11[/tex]

Answer:

The point slope formula is : y-y₁ =m(x-x₁), so first u need to find the value of slope.

Step-by-step explanation:

finding the value of slope:

slope(m)= y₂-y₁ ÷ x₂-x₁

              = -1-4 ÷ 2-3

               = 5

now finding equation;

y-y₁=m(x-x₁)

y-4 = 5(x-3)

11=5x - y

0= 5x - y -11

therefore equation of line in point slope is : 5x-y-11=0

im bad with shapes just look at the picture and tell me best of luck

Answers

Answer: They are both right triangles so you can use the Pythagorean Theorem to get the length of the missing side

12^2 = 144. 5^2 = 25. 144 + 25 = 169. 13^2 = 169. Or you could say the sure root of 169 is 13.

Step-by-step explanation:

The triangles are congruent because the three sides of triangle A are equal to the three sides of triangle B.

In geometry they call that proof "sss" meaning 3 same sides. Or you could prove by "sas" 2 equal sides and an equal angle.

Answer:

Answer: They are both right triangles so you can use the Pythagorean Theorem to get the length of the missing side

12^2 = 144. 5^2 = 25. 144 + 25 = 169. 13^2 = 169. Or you could say the sure root of 169 is 13.

Step-by-step explanation:

The triangles are congruent because the three sides of triangle A are equal to the three sides of triangle B.

In geometry they call that proof "sss" meaning 3 same sides. Or you could prove by "sas" 2 equal sides and an equal angle.

Factor the expression and use the factor to find the x-intercepts of the quadratic relationship it represents.

The x intercepts occur where x= ___ and x= ___

Answers

Answer:

-3 and 8

Step-by-step explanation:

take a look at the picture. Hope it helps! Mark Brainliest pleaseee :)

The x intercepts occur where x = 8 and x= -3

What is Quadratic equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2}+bx+c=0[/tex].

What is x intercept?

The x-intercept is where a line crosses the x-axis

Given,

[tex]-x^{2} +5x+24=0[/tex]

Factor the expression,

[tex]-x^{2} +5x+24=0\\-(x^{2} -5x-24)=0\\x^{2} -5x-24=0\\(x-8)(x+3)=0\\[/tex]

Therefore,

x= 8 and x = -3

Hence, the x intercepts occurs where x= 8  and x= -3

Learn more about Quadratic equation and x intercept here

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What is the image of the point (6,0)(6,0) after a rotation of 180^{\circ}180 ∘ counterclockwise about the origin?

Answers

Answer:

(-6,0)

Step-by-step explanation:

Whether we rotate a point 180° clockwise or counterclockwise, we'll always end up at the same point.

When we rotate a point by 180°, assuming the original point is [tex](x,y)[/tex], the new coordinate becomes [tex](-x,-y)[/tex].

So:

[tex](-6,-0)\\\\(-6,0)[/tex]

Hope this helped!

The test for goodness of fit​ a. ​is always an upper tail test. b. ​is always a two-tailed test. c. ​can be a lower or an upper tail test. d. ​is always a lower tail test.

Answers

Answer: a. ​is always an upper tail test.

Step-by-step explanation:

The chi-square goodness-of-fit test is a test to check whether the sample comes from the population with the expected distribution or not.

If the observed frequency is close to the expected frequency, then the square of the deviations will be small. The square of the deviation is divided by the expected frequency to get the weighted frequencies.

If the sum of these weighted squared deviations is large is then it creates a doubt for the distribution claimed other wise not. Therefore, the chi-square goodness-of-fit test is always a right tail test.

Hence correct option is "a. ​is always an upper tail test. "

the sum of n and 7 is equal to 50

Answers

Answer:

43

Step-by-step explanation:

Sum means total

n+7=50

n=50-7

n=43


Classify the following triangle. Check all that apply.
A. Obtuse
B. Acute
C. Equilateral
D. Isosceles
E Scalene
F Right​

Answers

I know Iscoscles and acute only

a body of mass 2kg travelling with a velocity of 10 m/s what is the momentum this body colloids with another body of equal mass travelling in the same direction with a velocity of 5m/s what is the total momentum of the 2 objects before and after coliision

Answers

Your question has been heard loud and clear.

M1 = 2kg , M2=2kg , V1=10m/s V2=5m/s

Total momentum before collision = M1V1+M2V2 = 2*10 + 2*5 = 30kgm/s  

Now , by law of conservation of momentum ,

Total momentum before collision = total momentum after collision

Therefore , total momentum of objects before and after collision = 30kgm/s

Thank you

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