Solve system of equations for x + y: -4x + 9y = -11 & -3x + 7y =-9
Thanks!!

Answers

Answer 1

Answer:

[tex]x=4/55\\y=-69/55[/tex]

Step-by-step explanation:

[tex]4x+9y-9y=-11-9y\\4x=-9y-11\\[/tex][tex]x=\frac{-9y-11}{4}\\-3(\frac{-9y-11}{4})+7y=-9[/tex]

[tex]\frac{55}{4} y=\frac{-69}{4}[/tex]

[tex]y=\frac{-69}{55}[/tex]

[tex]x=\frac{-9(-69/55)-11}{4}\\x=\frac{4}{55}[/tex]

Answer 2

Answer:

(- 4, - 3 )

Step-by-step explanation:

Given the 2 equations

- 4x + 9y = - 11 → (1)

- 3x + 7y = - 9 → (2)

Multiplying (1) by 3 and (2) by - 4 and adding will eliminate the term in x

- 12x + 27y = - 33 → (3)

12x - 28y = 36 → (4)

Add (3) and (4) term by term to eliminate x

- y = 3 ( multiply both sides by - 1 )

y = - 3

Substitute y = - 3 into either of the 2 equations and evaluate for x

Substituting into (1)

- 4x + 9(- 3) = - 11

- 4x - 27 = - 11 ( add 27 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Solution is (- 4, - 3 )


Related Questions

Evaluate f(x) = x 2 + 1 for f(-1). a) 0 b) undefined c) 2

Answers

Answer:

2

Step-by-step explanation:

f(-1)=-1^2 +1 =2

Answer:

C) 2

Step-by-step explanation:

Hope this helps :)

You hungrily remove frozen meat from the fridge. Its temperature is -18 degrees celsius but you can start cooking it only when it reaches 15 degrees celsius. Its temperature is increasing by 3 degrees celsius every minute. How many minutes will you have to wait before you can start cooking? *

Answers

Answer:

start at -18 degrees

To get to 15 it would be 33 degrees increased

1 min  =  11 minutes

3 degrees = 33 degrees

You would have to wait 11 minutes

What scenario could be modeled by the graph below?

Answers

Answer:

It’s C

Step-by-step explanation:

In the circle, m BC = 94°. The diagram is not drawn to scale.
What is BCP
188
94
47
86

Answers

this is the diagram i need help too please

Answer:

47 deg

Step-by-step explanation:

Pat starts with two identical square pieces of paper. On the first one, she draws straight lines that divide the paper into a 3-by-3 grid of squares. The total length of the lines she draws is 18cm.
On the second piece of paper, Pat draws straight lines that divide the paper into a 6-by-6 grid of squares.
what is the total length of the lines that Pat draws on the second piece of paper?

Answers

Answer:

  45 cm

Step-by-step explanation:

2 lines will divide the square in thirds. 2 additional lines will divide those thirds into ninths. Pat's 4 lines total 18 cm.

To divide the square into sixths requires 5 lines. To divide it into 36ths requires 5 additional lines. Hence the total number of lines on the second paper is 10/4 = 5/2 times the total on the first paper.

The total length of lines on the second paper is ...

  (5/2)(18 cm) = 45 cm

Answer:

45!!

Step-by-step explanation:

Using the following image, apply what you have learned about linear pairs and solve for

Answers

It would be 4x+76 = 180 in that order in the boxes. You would add 1 to 75 which got 76. Then you would subtract 76 from 180 and get 104 and then divide that by 4 and you would get 26. So x is 26

if you translate the cubic parent function, F(x) down 2 units, what is the equation of the new parent function

Answers

Answer:

y=f(x)-2

Step-by-step explanation:

find the value of APD angle.
Given that,
ABCD is a square.
AB =BP


will give the brainliest​

Answers

Answer:

135

Step-by-step explanation:

angle APB is an alternate interior angle to DBC and line DB is supplementary

APD=180-45=135

Which equations and/or functions represent the graphed line? Select three options.
4
.
..6
Х
1

Answers

Answer:

f(x) = 0.5x + 2

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

Step-by-step explanation:

In the figure attached, the graphed line is shown.

The missing options are:

f(x) = 0.2x - 4

f(x) = 0.5x + 2  

f(x) = 1/2x + 2

y – 3 = 1/2(x – 2)

y – 1 = 0.5(x + 2)

From the picture, we can see that points (0, 2) and (2, 3) are on the line. Then, the slope of the line is:

m = (3 - 2)/(2 - 0) = 1/2 = 0.5

The y-intercept is (0, 2), or b = 2

Therefore, in the slope y-intercept form, the equation is:

f(x) = mx + b

f(x) = 1/2x + 2 = 0.5x + 2

In the point-slope form, the equations is:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 2)

Using point (-2, 1), in the point-slope form, the equation is:

y - y1 = m(x - x1)

y - 1 = 0.5(x + 2)

Answer:

bde

Step-by-step explanation:

Board A: 3ft 9in Board B: 4ft 3in Board C: 2ft 6in
If he glues boards A and C together end to end, how long will the new board be?

Answers

The board will be 75 inches long

Lucas attends 8 classes each day. If each class is about
45 minutes long, about how long will Lucas have been
in school when he starts his fourth class of the day?

Answers

He will have 3 classes done before starting the fourth class.

3 classes x 45 minutes per class = 135 minutes.

1 hour = 60 minutes

134 minutes = 2 hours and 15 minutes.

Before the fourth class starts he was at school for 2 hours and 15 minutes

yall i really need help on this one :/ Mrs. Berry asked her real-estate agent, "What is the median value of homes in this neighborhood?"
Select from the drop-down menus to correctly complete the statement.

Mrs. Berry's question is a statistical question because there ____ variability in the values, and because data _____ to be collected to answer it.
for the first blank the options are is and is no. for the second blank the options are has and do not have.

Answers

non stat,does not varyStep-by-step explanation:

Please please help please thank you for the help please I need it !!!! WILL MARK AS BRAINLIEST!!! Please

Answers

Answer:

B

Step-by-step explanation:

Answer:

The answer would Be: B 6

Step-by-step explanation:

Solve the system of equations 3x+8y=15 2x-8y=10 X= Y=

Answers

y=0
x=5

Example : 3x+8y=15
3(5)+8(0)=15
15+0=15
15=15

Which expression represents the volume, in cubic units, of
the composite figure?
pi(5^2)(13)-1/3pi(5^2)(12) pi(5^2)(13)-1/3pi(5^2)(25)
pi(5^2)(13)+1/3pi(5^2)(12)
pi(5^2)(13+1/3pi(5^2)(25)

Answers

Answer:

C.

[tex]V = \pi * 5^2(13) +\frac{1}{3}\pi * 5^2 (12)[/tex]

Step-by-step explanation:

Given:

The figure is a combination of a cone and a cylinder

Radius (of both), [tex]r = 5[/tex]

Height of Cylinder, [tex]H_1 = 13[/tex]

Height of Cone, [tex]H_2 = 25 - 13 = 12[/tex]

Required:

Volume  of the figure

Let V represents the volume of the figure;

[tex]V_1[/tex] represents the volume of the cylinder

[tex]V_2[/tex] represents the volume of the cone

So, [tex]V = V_1 + V_2[/tex]

Where [tex]V_1 = \pi r^2H_1[/tex] and [tex]V_2 = \frac{1}{3}\pi r^2 H_2[/tex]

So, V becomes

[tex]V = \pi r^2H_1 + \frac{1}{3}\pi r^2 H_2[/tex]

Factorize the above expression

[tex]V = \pi r^2(H_1 + \frac{1}{3}H_2)[/tex]

Substitute [tex]r = 5[/tex]; [tex]H_1 = 13[/tex];[tex]H_2 = 12[/tex]

[tex]V = \pi * 5^2(13 + \frac{1}{3} * 12)[/tex]

[tex]V = \pi * 5^2(13 + \frac{1}{3} * 12)[/tex]

Open Bracket

[tex]V = \pi * 5^2(13) +\pi * 5^2 \frac{1}{3} (12)[/tex]

Reorder

[tex]V = \pi * 5^2(13) +\frac{1}{3}\pi * 5^2 (12)[/tex]

From the list of options given, option c is correct.

Answer:

C

Step-by-step explanation:

Which expression is equivalent to (2x4y)^3

Answers

Answer:

Step-by-step explanation:

It is equivalent to 8x12y3.

Answer:

8x7y4

Step-by-step explanation:

Choose the point on the terminal side of -45°.

a. (-3, -3)
b. (4, -4)
c. (5, 5)
d. (-2, 2)

Answers

Answer:

B

Step-by-step explanation:

Find the exact value of each trigonometric function for the given angle θ.

Answers

Answer:

[rad] 2.41

Step-by-step explanation:

Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):

cot^-1(-√5/2)

And we should get 2.41 as our answer!


Definition of Complementary Angles

Answers

either of 2 angles whos sum is 90°

Answer:

Add to 90 degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees or a right angle. For example,

52°+38°=90°

Therefore, 52 and 38 are complementary angles.

NEED HELP! Consider circle C with diameter DE.





Which is the equation of circle C?



A.


(x − 2)2 + (y + 1)2 = 185


B.


(x − 2)2 + (y + 1)2 = 370


C.


(x − 2)2 + (y + 1)2 = 740


D.


(x + 9)2 + (y − 7)2 = 185


E.


(x + 9)2 + (y − 7)2 = 740

Answers

Step-by-step explanation:

The general form of an equation of a circle with center at (a, b) and radius r is given as:

(x - a)² + (y - b)² = r²

There is no images available to help decide which circle is the right choice... But with the knowledge of what a standard circle looks like, we can make the choice.

Enter the correct answer in the box.
What is the standard form of function f?
f(x) = 4(x + 6)^2+ 5

Substitute numerical values into the equation for a, b, and c.

F(x) = ax^2 + bx + c

Answers

Answer:

f(x) = 4x² + 48x + 149

Step-by-step explanation:same as the one above me.

The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic function is given below.

f(x) = 4(x + 6)²+ 5

Convert the equation into a standard form. Then we have

f(x) = 4(x + 6)²+ 5

f(x) = 4(x² + 12x + 36)+ 5

f(x) = 4x² + 48x + 144 + 5

f(x) = 4x² + 48x + 149

The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

Answer is not b please help​

Answers

Answer:

63

Step-by-step explanation:

This sum (from n = 1 to n =6 of 128(1/2)^n can be found in several ways.  Since there are only a few numbers here to add together, we can just write out the given sum as

128(1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64), or

64         + 32  + 16  + 8 + 4 + 2 + 1, which sums up to 63.

Which of these is equal to 0.13?
13
A.
99
12
B.
90
c. 1

Answers

Answer:

Is this the inter question

Please help me, it's urgent. ​

Answers

A & C are the answers

Answer:

A and C

is your answer

Step-by-step explanation:

A. x+4=7

3+4=7

B. x/9=3

27/9=3

C. 5-x=2

5-3=2

D. 8x=32

8*4=32

E. x-10=7

17-10=7

Evaluate the permutation. 6P2 15 30 36

Answers

Answer:

30

Step-by-step explanation:

Using the definition

n[tex]P_{r}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]

where n ! = n(n - 1)(n - 2)(n - 3)... × 3 × 2 × 1

Thus

6[tex]P_{2}[/tex] = [tex]\frac{6!}{4!}[/tex] = [tex]\frac{6.5.4.3.2.1}{4.3.2.1}[/tex] ← cancel 4.3.2.1 on numerator/ denominator, leaving

      = 6 × 5

      = 30

PLEASE HELP!! The question is “ Abbey spends 5 hours less then triple the amount of time Emily spends on homework. Nathan spends twice as much time on homework as Abbey does. Write a simplified expression for the total number of hours the three friends spend on their homework. Show your work.”

Answers

Answer:

5(2x-3)

Step-by-step explanation:

Let the amount of time Emily spends on homework.=x (in hours)

Abbey's Time = 5 hours less than triple the amount of time Emily spends

Therefore:

Amount of Time spent by Abbey =3x-5

Nathan's Time = Twice as much time as Abbey.

Amount of Time spent by Nathan =2(3x-5)

Next, we calculate the total number of hours the three friends spend on their homework

=Time spent by Emily+Time spent by Abbey+Time spent by Nathan

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

=x+3x-5+6x-10

Collect like terms

=x+3x+6x-5-10

=10x-15

Next, we simplify by factorizing

Therefore, Total number of hours =5(2x-3)

Which two numbers doesStartRoot 61 EndRoot lie between on a number line? 7.7 and 7.8 7.8 and 7.9 7.9 and 8.0 8.0 and 8.1

Answers

Answer:

Answer is 7.8 and 7.9

Step-by-step explanation:

Answer:

the answer is B 7.8 to 7.9 have fun

Step-by-step explanation:

50% increase followed by a 33 1/3% decrease

Answers

Answer:

A 50% increase followed by a 33/1/3% decrease. = ? (1 + 0.5)*(1 - 0.3333333) = 1.5 * 0.666667 = 1. Result is same as original.

A 50% increase followed by a 33 1/3% decrease is a net decrease of 16 2/3%.

Here is the explanation:

A 50% increase means that the value is multiplied by 1.5.

A 33 1/3% decrease means that the value is multiplied by 0.6666666666666666.

So, the net effect of the two changes is:

(1.5 × 0.6666666666666666) = 1 - (1/6) = 0.8333333333333334

This is a decrease of 16 2/3%.

For example, if you start with a value of 100, then a 50% increase followed by a 33 1/3% decrease will result in a final value of 83.33.

Learn more about net decrease here: brainly.com/question/13244351

#SPJ2

8:38
Auto Advance
Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks?

Answers

Answer:

$216

Step-by-step explanation:

14+20=24

24x9=216

She earned $306 during these two weeks.

Polygons QRST and Q’R’S’T’ are shown on the coordinate grid: A coordinate plane with two polygons is shown. Polygon QRST has vertices Q at 3 comma negative 5, R at 2 comma negative 1, S at 5 comma 0, and T at 5 comma negative 4. Polygon Q prime R prime S prime T prime has vertices at Q prime negative 5 comma negative 4, R prime at negative 1 comma negative 3, S prime at 0 comma negative 6, and T prime at negative 4 comma negative 6. What set of transformations is performed on QRST to form Q’R’S’T’? A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin

Answers

Answer:

the answer is D

Step-by-step explanation:

If you take wha it says and plug it in, it makes the most sense

Answer:

d

Step-by-step explanation:

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