Select the correct answer.
What is the solution to this system of equations?
3x+y=17
x+2y= 49

OA. It has no solution,
B.
It has infinite solutions.
OC. It has a single solution: x = 15, y= 17.
OD.
It has a single solution: x= -3, y = 26.

Answers

Answer 1

Answer:

one solution:  x = -3,  y = 26

Step-by-step explanation:

3x + y = 17

x + 2y = 49

If you multiply the first equation by -2 and then add you will eliminate the 'y' term

-2(3x + y) = -2(17)

  -6x - 2y = -34

+    x + 2y = 49

   -5x = 15

     x = -3

-3 + 2y = 49

2y = 52

y = 26


Related Questions

Priya and Han both factored the number 80. Priya says they should both get the same answer even if they started with different factor pairs. Han disagrees. Who is correct

Answers

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

What is the value of h(-2) if h(x)=4x^2-x+9?

Answers

h(-2) = 4(-2x)^2-(-2x)+ 9
= 4(4x^2)+2x+9 = 16x^2 + 2x + 9

Answer:

16x² + 2x + 9

Step-by-step explanation:

To evaluate h(- 2x) , substitute x = - 2x into h(x), that is

h(- 2x)

= 4(- 2x)² - (- 2x) + 9

= 4(4x²) + 2x + 9

= 16x² + 2x + 9


3 There are 8 teams in the
recreational soccer league. Each
team is comprised of 9 fourth-
grade students and 5 fifth-grade
students. Which expression could
be used to find the total number of
students in the soccer league?
A. (8 + 9) * 5 =
B. (8 x 9) + 5 =
C. 8 + (9x5) =
D. 8 (9 + 5) =

Answers

Answer:

On each team there is the same number of teammates, the answer is D. 8 (9 + 5).

Step-by-step explanation:

If you add up the amount of teammates then multiply that by the number of teams.

Therefore, D. 8 (9 + 5) is the answer.

A 29-m tall building casts a shadow . The distance from the top of the building to the top of the shadow is 32m. Find the length of the shadow.

Answers

A 29 m 32 amThe length of the shadow would be 520m

what percent of 18 is 24

SIDE NOTE:its not 75%

Answers

Answer is 75 the output value is 18
24 is around 133% of 18

Plz help I’ll appreciate it plz help

Answers

Answer:

x = 36

Step-by-step explanation:

Here, we want to get the value of x

As we can see on the markings, the base angle are equal

Thus, the other base angle is x too

mathematically, the sum of all the interior angles of a triangle = 180

thus;

3x + x + x = 180

5x = 180

x = 180/5

x = 36

Carl earns $3.25 per hour walking his neighbor’s dogs. He walks them 1/3 of an hour in the morning and 1/2 of an hour in the afternoon.
a. How much time does Carl spend dog walking every day?
b. How much time does Carl spend dog walking in a week?
c. Ten minutes is equal to 1/6 of an hour. How many minutes does Carl work dog walking each week?
d. How much money does Carl earn each week?

Answers

A) is 50 minutes
B) 5.83 hours
C) 350 minutes
D)he would make $18.95 a week

What is the sum of all prime numbers beetween 30 to 60?​

Answers

Answer:

311

Step-by-step explanation:

Please give me brainliest and thank me

Answer:

311

Step-by-step explanation:

31+37+41+43+47+53+59=311

please mark me as brainliest, i'd really appreciate it!<3

What can be said about the discriminant of the graph below?


A. The discriminant is positive, so there are no solutions.
B. The discriminant is 0, so there is one solution.
C. The discriminant is negative, so there are no solutions.
D. The discriminant is positive, so there are 2 solutions.

Answers

I haven’t taken this since for a while so my memory’s a bit foggy but I’m pretty sure it’s B since it intersects at (0,0) so there wont be any other solution. I hope that helps (:

find the area of the adjoining figure.
please help and find it
i really need it my exam is tomorrow
i will mark you the brainlliast​

Answers

first lets find Area of triangle bellow

(SRT triangle):

FORMULA: (Base×height)/2

(18×5)/2=90/2=45 cm²

now lets find area of trapezoid (PQSR):

FORMULA: ((base+base)/2)×height

((18+20)/2)×4=19×4=76cm²

now lets add both of the figure's areas to get final answer:

45+76=121 cm²

area of figure is 121cm²

please mark❤️

What is the actual length of the microchip?

Answers

Answer:

12 millimeters is the actual length of a microchip

How do you know square root c is a right angle?

Answers

Answer:

angle c is right angle because,

it is proved by Pythagoras theorem....

now,we check that

[tex] {10 }^{2} = {8}^{2} + {6}^{2} \\ 100 = 6 + 36 \\ 100 = 100 \\ lhs = rhs \\ hence \: \: proved \: angle \: c \: is \: right \: angle[/tex]

True or False.
If

F(x) = ∫ -23x sin(t) dt

then the second fundamental theorem of calculus can be used to evaluate F '(x) as follows

F '(x) = sin (3x)

Answers

Answer:

False.

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Integration

IntegralsDefinite IntegralsIntegration Constant C

Integration Rule [Fundamental Theorem of Calculus 2]:                                     [tex]\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle F(x) = \int\limits^{3x}_{-2} {sin(t)} \, dt[/tex]

Step 2: Differentiate

Chain Rule:                                                                                                     [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot \frac{d}{dx}[3x][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3\frac{d}{dx}[x][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3x^{1 - 1}[/tex]Simplify:                                                                                                         [tex]\displaystyle F'(x) = 3\frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt][/tex]Integration Rule [Fundamental Theorem of Calculus 2]:                           [tex]\displaystyle F'(x) = 3sin(3x)[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer the viable point to please! But Answer Both!!

Answers

I’m pretty sure it z due to the equator being so close to the moon correct me if I’m wrong

Can someone please help me. It’s hard and I don’t understand.

Answers

9513 1404 393

Answer:

changes by 120 for each copyis 1800 if none are sold

Step-by-step explanation:

Let's look at the second question first.

x is the number of copies Chau sells. If he doesn't sell any copies, then x = 0. To find Chau's pay, we use x=0 in the equation, and solve for y.

  120×0 +1800 = y

  0 +1800 = y

  1800 = y

Chau's pay when he sells no copies is $1800.

__

If Chau sells 1 copy, then his pay is ...

  120×1 +1800 = y = 1920 . . . . . . . use the equation with x = 1

The increase in Chau's pay is 1920 -1800 = 120.

Chau's pay changes by $120 for each copy he sells.

6 cm
8 cm
what’s the hypotenuse

Answers

Answer:

10 cm

Step-by-step explanation:

This is the Pythagorean triple 3, 4, 5, in which the two legs are multiples of 3 and 4, while the hypotenuse is a multiple of 5. Observing the given numbers it can be deduced that the second multiple of 5 is what is needed to complete this triple, therefor the hypotenuse must be 10 cm.

1 2 3 4 5 6 7 8 9 10
10 + 10= ?

Answers

Answer:

I'm confused what you are asking... if you are looking for the answer to 10 + 10 it's 20 ♡♡

10+10=20 but I don’t know if it’s right bc I don’t know what’s the question

2019 like “I live my life in fast forward, but they haters wanna rewind me”

Answers

Is this a question, or-

Um how is this related to homework?

Can anyone help me with these? It's a yes or no question...

Answers

Answer:

Yes

Step-by-step explanation:

If you insert the numbers it will turn out something like this:

5+6=11

2+18=20

And those are all true.

I hope this helps :)

Answer:

Yes it is

Step-by-step explanation:

x=1 y= 6

(5 × 1) + 6 = 11

(2×1) +(3×6) =20

(a) The perimeter of a rectangular garden is 314 m.
If the length of the garden is 85 m, what is its width?
(b) The area of a rectangular window is 4800 cm
2
If the width of the window is 64 cm, what is its length?

Answers

Answer:72 for the garden and 75 for the window

Step-by-step explanation:

What is the solution set for the inequality.

t - 10 ≥ 7

A

{18, 19, 20, 21}

B

{17, 3, 14, 25}

C

{17, 20, 30, 44}

D

{8, 11, 15, 17}

Answers

Hope you get the right answer

Step-by-step explanation:

Can someone pretty please help me... it’s only 2 questions! :(

Answers

Answer:

9. C 10. C

Step-by-step explanation:

Please gimme brainliest

Answer: c for both

Step-by-step explanation:

Promote means support, and the “general welfare” is the general good of the people.

The Preambles of the constitution at the beginning of it, so it couldn’t be a a conclusion, and there were no indexes in the Constitution. It had to be a summary or an introduction, Ndola it’s an introduction, it did not explain everything in the document like a a bunch, but it did state that it was a constitution.

Also, the question end should with an, so it had to be an answer starting with a vowel, so one of the last two, since the last one I saw wrong, it had to be c.

2 consecutive numbers that add up to 719

Answers

Answer:

359+360

Step-by-step explanation:

Answer:

359+360

Step-by-step explanation:

Here we will use algebra to find three consecutive integers whose sum is 719. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 719. Therefore, you can write the equation as follows:

(X) + (X + 1) + (X + 2) = 719

What is the value of Angle 'a'?
a
47°

Answers

Answer:

133

Step-by-step explanation:

180-47=133

Answer: if the shape is a triangle, 180-47=133

if it is any other shape, 360-47=313

Step-by-step explanation:

help im confused!! i need to find the x



Answers

That has four right angles which means it’s a square. In squares all of the sides are equal which would mean X=17. Hope that’s helps :)

Evaluate 7b-b when b=4
Thank you!!

Answers

the answer is 23 !! hope this helps

Answer:

The correct answer is 24.

Step-by-step explanation:

The law of cosines is a2 +62 - 2abcosC = (2. Find the value of 2abcosC.
2
4
B
A
5

Answers

Answer:

[tex]2abcosC = 37[/tex]

Step-by-step explanation:

Given

[tex]a^2 + b^2 - 2abcosC = c^2[/tex]

Required

[tex]2abcosC[/tex]

[tex]a^2 + b^2 - 2abcosC = c^2[/tex]

Add [tex]2abcosC[/tex] to both sides

[tex]a^2 + b^2 - 2abcosC+2abcosC = c^2+2abcosC[/tex]

[tex]a^2 + b^2 = c^2+2abcosC[/tex]

Subtract [tex]c^2[/tex] from both sides

[tex]a^2 + b^2 -c^2= c^2 -c^2+2abcosC[/tex]

[tex]a^2 + b^2 -c^2= 2abcosC[/tex]

From the attachment:

[tex]a = 4[/tex] [tex]b = 5[/tex] and [tex]c = 2[/tex]

So, we have:

[tex]4^2 + 5^2 -2^2= 2abcosC[/tex]

[tex]16 + 25 -4= 2abcosC[/tex]

[tex]37= 2abcosC[/tex]

i.e.

[tex]2abcosC = 37[/tex]

Answer:

A. 37

Step-by-step explanation:

Please help I don’t understand

Answers

The answer is 32.14

A cylinder and a cone have the same base and altitude. If the volume of the cone is 30 cubic inches, what is the volume of the cylinder?

Answers

Answer:

im not completely sure but I'd say 30

Step-by-step explanation:

well I'm not sure but if they have the same base and altitude you'd think they might have the same volume, but I'm not exactly sure

Will mark Brianliest !!!!!!! Please helppp!!!!!!!!!! Show your work correctly !!!!!!!!!!!!

Answers

Answer: 1st one

two-base angle are equal

let take a base angle as x

2x + 98 = 1802x = 180 - 98x = 2/2x = 1

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