What is the solution to this system of equations?
x + y = 6
x = y + 4

A: (11/2, 1/2)
B: (21/2, 11/2)
C: (5, 1)
D: (1, 5)

Answers

Answer 1

Answer:

(5, 1) (Answer C)

Step-by-step explanation:

Note that the second equation features x as a function of y:  x = y + 4.  We can substitute y + 4 for x in the first equation, obtaining:

y + 4 + y = 6

and then, after we combine like terms,

2y = 2, or y = 1.

x = y + 4, subbing 1 for y here results in x = 1 + 4, or x = 5

The solution is (5, 1) (Answer C)


Related Questions

Kamal prepares 2 kilograms of dough every hour he works at the bakery. Write an equation that shows the relationship between the hours worked x and the dough prepared y. *

Answers

Answer:

2 into x into y

Step-by-step explanation:

This diagram is a straightedge and compass construction. A is the center of one
circle, and B
is the center of the other. Select all the true statements.

Answers

Answer:

True choices are 1, 2, 5

Step-by-step explanation:

As per diagram, the circles are equal.

Since the distance AB is the radius of both circles:

AB = AC = BC = BD = AD = r

So the answer choices:

1. AC = BC

Correct, both equal to r

2. AC = BD

Correct, both equal to r

3. CD = AB

Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to  r√3/2, so CD = AB√3

4. ABCD is a square

Incorrect. ACBD is rhombus

5. ABD is an equilateral triangle

Correct, all three sides are equal to r

6. CD = AB + AB

Incorrect as CD = AB√3

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

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.

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:

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.

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

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.

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

Y = (x+2) (-X-1)
Answer the question using null law

Answers

Answer:

x = - 2, x = - 1

Step-by-step explanation:

Given

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

To solve for x let y = 0, that is

(x + 2)(- x - 1) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

- x - 1 = 0 ⇒ - x = 1 ⇒ x = - 1

Step-by-step explanation:

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

(45) - (+14)

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

y=-2

The product of this number and 10 is equal to the square of this number

Answers

Answer:

___ x 10 = ____^2

Step-by-step explanation:

The number is 10. 10 times 10 equals 100. 10 squared is 100.

Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f - g)
(x), and then find the domain of the result.

Answers

Answer:

See below.

Step-by-step explanation:

So we know that:

[tex]f(x)=4x+8\text{ and } g(x)=2x-12[/tex]

First, know that:

[tex](f-g)(x)[/tex]

Is the same as:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(4x+8)-(2x-12)[/tex]

Distribute:

[tex]=4x+8-2x+12[/tex]

Combine like terms;

[tex]=2x+20[/tex]

Thus:

[tex]f(g(x))=2x+20[/tex]

This is simply a linear equation.

Thus, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty, \infty)[/tex]

3.3 x 10^11 in standard notation

Answers

Answer:

330,000,000,000

Step-by-step explanation:

Move the decimal to the right eleven times!

Answer:

3.3*10¹¹ = 330000000000

Step-by-step explanation:

3.3*10¹¹ = 330000000000

A person ran 300 yards ran how many feet did he run

Answers

Answer:

900 feet

Step-by-step explanation:

300 yards converted to feet is 900 ft.

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

-4(x-5 ) - 25 = -5 x =?*

Answers

Answer:

x=0

Step-by-step explanation:

First distribute -4 to x and -5 and get -4x+20-25=-5

Then you combine like terms and get -4x-5=-5

Then add 5 to both sides and get -4x=0

Then divide both sides by -4 and get x=0

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

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

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. "

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

Point M is the segment bisector. what is the value of x?

Answers

Answer: x = 5

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

Explanation:

"Bisect" means to cut in half

M is the midpoint as it cuts segment ST in half

SM and MT are the same length

SM = MT

2x+3 = 4x-7

2x-4x = -7-3

-2x = -10

x = -10/(-2)

x = 5

----------

If x = 5, then

SM = 2x+3 = 2(5)+3 = 10+3 = 13

MT = 4x-7 = 4(5)-7 = 20-7 = 13

Both SM and MT are the same length (13 units). This confirms the answer.

Joshua sold his bike for 10% less than payed for it. If he sold the bike for $585, how much did he pay for it.

Answers

Answer: $650

Step-by-step explanation:

If he sold the bike 10% less than the original amount which means he sold it as a 10% discount so the person has to pay 90% of the price. And 90% of the price has to equal $585  so we could set up an equation and solve for the price.

90% * x =  585

0.9 * x = 585

0.9x = 585

x = 650  

Which means he paid $650 for the bike.

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)

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)

2 3/7 - 1 1/4 please give the answer as a mixed number with the fraction part in the lowest terms :))

Answers

Answer:

9/28

Step-by-step explanation:

2 3/7 - 1 1/4

2 3/7 - 1 1/4First turn the two mixed numbers into improper fraction:

2 3/7 - 1 1/4First turn the two mixed numbers into improper fraction:17/7 - 5/4

2 3/7 - 1 1/4First turn the two mixed numbers into improper fraction:17/7 - 5/4Next find the Lowest Common Denominator:

L.C.D = 28

L.C.D = 2821 - 12/28

L.C.D = 2821 - 12/28= 9/28

It won't be a mixed number because the denominator is bigger than the numerator.

5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the floor d feet from its center. How far from the center of the dome is the height 50 feet?

6. A cab charges $0.10 per mile and a flat fee of $3.00. Write an equation to model the price y of an x-mile-long cab ride.

7. Use the discriminate to determine the number of solutions to the quadratic equation y = 3 x 2 - 4 x + 6. 8. If f ( x ) = 7 x 2 + 5, compute f ( )3 . 9. Write an equation representing the translation of f ( x ) = 7 x + 3 down 4 units.

Answers

Answer:

5. When the dome is 50 feet high, the distance from the center is 5 feet

6. The equation that model the price y of an x-mile long ride is given as follows;

y = 0.1×x + $3.00

7. The discriminant is < 0; The equation has no real root

8. f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

Step-by-step explanation:

5. The given equation for the shape of the dome is presented as follows;

h = -2·d² + 100

Where;

h = The height of the dome (in feet)

d = The distance from the center

Therefore, we have;

When h = 50, d is found as follows;

h = -2·d² + 100

50 = -2·d² + 100

50 - 100 = -2·d²

-50 = -2·d²

∴ 2·d² = 50

d² = 50/2 = 25

d = √25 = 5 feet

Therefore when the dome is 50 feet high, the distance from the center is 5 feet

6. The given rate the cab charges per mile, x = $0.10

The rate the cab charges as flat fee = $3.00

Therefore, the price, y a person traveling by cab for x miles is given by the straight lie equation as y = m·x + c,

Where;

m = the slope or rate which in this case = $0.1/hour

c = A constant term which in this case = $3.00

Therefore

y = 0.1×x + $3.00

The equation that model the price y of an x-mile long ride is y = 0.1×x + $3.00

7. The discriminant, b² - 4·a·c  of the quadratic equation is (-4)² - 4×3×6 = -56

which is < 0, the equation has no real root

8. Given f(x) = 7·x² + 5

f(3) = 7 × (3)² + 5 = 68

f(3) = 68

9. The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is given as follows;

Down 4 units is equivalent to subtracting 4 from the y-coordinate value, therefore, we have;

f(x) - 4= 7·x + 3

f(x) = 7·x + 3 + 4

f(x) = 7·x + 7

The equation representing the translation of the line f(x) = 7·x + 3 down 4 units is f(x) = 7·x + 7

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]


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

Find more information: https://brainly.com/question/3600420

HELP ME ASAP PLEASE!!!

Answers

Answer:

idk

Step-by-step explanation:

2x - 3y = 16 5x - 3y = 13 solve the system of equations

Answers

Answer:

x=-1 y=-6

Step-by-step explanation:

i hope that helped

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