Solve the system algebraically.
2x + y - 10 = 0
X-y-5= 0
What is the value of y?
-5 /3
5
0

Answers

Answer 1

Answer:

Let 2x + y - 10 = 0 be equation (a).

Let x - y - 5 = 0 be equation (b).

Make y the subject in equation (b):

[tex]{ \tt{x - y - 5 = 0}} \\ { \tt{y = x - 5}}[/tex]

Substitute for y in equation (a):

[tex]{ \tt{2x + (x - 5) - 10 = 0}} \\ { \tt{3x - 15 = 0}} \\ { \tt{3x = 15}} \\ { \tt{x = 5}}[/tex]

Find y in any equation of your choice:

[tex]{ \tt{y = (5) - 5}} \\ y = 0[/tex]

Answer 2
hope this helps! I used substitution method! feel free to clarify!
Solve The System Algebraically.2x + Y - 10 = 0X-y-5= 0What Is The Value Of Y?-5 /350

Related Questions

Divide:
14m^2 - 28m^8 +7m/ 7m

Answers

Answer:

3m -4m^7 +1

STep

Answer:

3m -4m^7 +1

Step-by-step explanation:

(14m^2 - 28m^8 +7m)/ 7m

Break the division into pieces

14m^2/7m  -28m^8 /7m  +7m/7m

3m -4m^7 +1

Write an equation of a polynomial with the given characteristics: a quadratic function has x -intercepts of -3 and 1, and a y-intercept of (0,9).

Answers

Answer:

f(x) = -3(x+3)(x-1)

Step-by-step explanation:

x = -3 & 1; f(x) = 9

f(x) = a(x-r1)(x-r2)

f(0) = a(x-r1)(x-r2) = 9; 9 = a(0-(-3))(0-1)

9 = a(3)(-1); 9 = a(-3)

a = -3

f(x) = -3(x+3)(x-1)

Answer:

f(x) = -3x^2 - 6x + 9.

Step-by-step explanation:

As the x intercepts are - 3 and 1 we can write it as:

f(x) = a(x - 1)(x + 3)    where a is a constant to be found.

As the - intercept is at (0, 9),  x =0 when f(x) = 9 so we can also write:

a( 0 - 1)(0 + 3) = 9

(-1)(3)a = 9

a = 9 / -3

= -3.

So the equation is f(x) = -3(x - 1)(x + 3)

In expanded form it is

-3(x^2 + 2x - 3)

= -3x^2 - 6x + 9.

i need the last part of it pls help!

Answers

Answer:

Commutative

Step-by-step explanation:

Multiplication is Commutative. the term can be multiplied in either order. the product will be the same as the previous product.

OAmalOHopeO

A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 10 hours? What is the rate of speed of the jet?

Answers

980 miles

Step-by-step explanation:

5 hours =490miles

1 hour =490/5=98miles

10hours = 98×10=980miles

What is the value of f(x) = 2 • 2 x for f(–2)?

Answers

Answer:

-8

Step-by-step explanation:

you know, all you have to do in such a case is simply taking the given -2 and put it, where there is "x" in the function expression and then calculate this. if necessary with a calculator.

2×2×x with x=-2 is

2×2×-2 = -8

Answer:

- 8

Step-by-step explanation:

f ( x ) = 2 . 2 x

f ( - 2 )

= 2 . 2 ( - 2 )

= 2 x 2 x ( - 2 )

= - 8

Consider the graph below.

Which of the following piecewise functions is shown in the given graph

Answers

Answer:

[tex]f(x)=\begin{cases}x^2 + 3; & \text{ } x<1 \\ -2\cdot x+5; & \text{ } x\geq 1 \end{cases}[/tex]

Step-by-step explanation:

The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph

Therefore, the piecewise function shown in the quadratic graph is given as follows;

f(x) = x² + 3; x < 1

The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of x to the boundaries of the graph

Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2

The equation of the function is y - 3 = -2·(x - 1)

∴ y = f(x)  -2·x + 2 + 3 = -2·x + 5

f(x) = -2·x + 5; x ≥ 1

Solve for x in the inequality below. 4x-8<5x+4​

Answers

Answer:

Step-by-step explanation:

4x-8<5x+4

4x<5x+12

-x<12

flip sign

x > -12

Answer:

-12 < x

Step-by-step explanation:

4x-8<5x+4​

Subtract 4x from each side

4x-4x-8<5x-4x+4​

-8 < x+4

Subtract 4 from each side

-8-4 < x+4-4

-12 < x

Help please, help me out

Answers

Answer:

2nd option x=-12.........

The coach of a lacrosse team bought ice cream cones to celebrate a victory. A single-scoop cone was $3 and a double-scoop cone was $5 The coach bought 15 cones and paid $57. A system of equations describing this situation could be written in the form below where s represents the number of single cones andd represents the number of double cones. What is the sum of A, B, C and E?​

Answers

Answer:

s=9

d=6

Step-by-step explanation:

s+d=15

3.s+5.d=57

⇒s=9 và  d=6

The sum of A, B, C, and E is 23. Let's set up a system of equations based on the given information: s: number of single-scoop cones

d: number of double-scoop cones

1. The coach bought 15 cones in total:

s + d = 15

2. The cost of a single-scoop cone was $3 and the cost of a double-scoop cone was $5, and the total payment was $57:

3s + 5d = 57

Now, let's find the values of s and d by solving the system of equations.

First, we can use the first equation to solve for s in terms of d:

s = 15 - d

Now, substitute this value of s into the second equation:

3(15 - d) + 5d = 57

Now, solve for d:

45 - 3d + 5d = 57

2d = 57 - 45

2d = 12

d = 6

Now that we have the value of d, we can find the value of s using the first equation:

s = 15 - d

s = 15 - 6

s = 9

So, the number of single-scoop cones (s) is 9, and the number of double-scoop cones (d) is 6.

Now, let's find the sum of A, B, C, and E:

A: The number of single-scoop cones (s) is 9.

B: The number of double-scoop cones (d) is 6.

C: The cost of a single-scoop cone is $3.

E: The cost of a double-scoop cone is $5.

A + B + C + E = 9 + 6 + 3 + 5 = 23

So, the sum of A, B, C, and E is 23.

To know more about sum:

https://brainly.com/question/31538098

#SPJ2

!!! 25 POINTS HELP PLS

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit. Select all that apply.

Answers

Answer:

Option (3)

Step-by-step explanation:

Given functions are,

f(x) = [tex]\frac{1}{4^x}[/tex]

g(x) = log(2x)

By using a graphing utility we can draw the graphs of the given system of equations.

Common points of the graph will be the solutions of the equations,

From the graph attached,

Solution of the functions is → (0.937, 0.273)

                                             → (0.9, 0.3)

Option (3) will be the answer.

− 10x− 6y = 12
4x+ 7y =− 14

Answers

x=0, y=-2

tell me if u need the explanation

Which function has a domain of all real numbers?

Answers

Answer:

c part ....

please mark brainlest

Translate sentence into equation

nine more than a product of a number and 4 is 8

Answers

Answer:

If x is the required number, equation will be 9+4x=8

If b = -1, which one is the value of b^3?

Answers

Answer:

b=-1Put the value of b in b^3

[tex] \\ \sf \longmapsto \: b {}^{3} \\ \\ \sf \longmapsto \: { - 1}^{3} \\ \\ \sf \longmapsto \: 1 \times - 1 \\ \\ \sf \longmapsto \: - 1[/tex]

Hence b^3=-1

How do I solve this?

Answers

Answer:

y = 0.8x – 2

Step-by-step explanation:

Slope (m) =  

ΔY/ ΔX =  4 /5 = 0.8

y=.8x+b

plug in point

b=-2

Help!!!!!!!!!!!!!!!!

Answers

502.5 = -502.5

Now

x = -502.5

= -5025/10

= -1005/2 feet

Answered by Gauthmath must click thanks and mark brainliest

Evaluate the six trigonometric functions of the angle 0

Answers

# Sin θ = 9/15.

# Cos θ = 12/15.

# Cosec θ = 15/9.

# Sec θ = 5/4

Step-by-step explanation:

[tex]by \: using \: pythagorian \: triplets[/tex]

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {9}^{2} + {12}^{2} = {c}^{2} [/tex]

[tex]81 + 144 = {c}^{2} [/tex]

[tex]225 = {c}^{2} [/tex]

[tex]c = 15.[/tex]

[tex] \sin θ = \frac{9}{15} [/tex]

[tex] \cos θ = \frac{12}{15} = \frac{4}{5} [/tex]

[tex] \csc θ = \frac{15}{9} [/tex]

[tex] \secθ = \frac{5}{4} [/tex]

The power 9 squared is equivalent to 81. What is the value of 9 Superscript negative 2?

Answers

Answer:

1/81

Step-by-step explanation:

9^2 = 81

We know that a^ -b = 1/a^b

9^-2

1/9^2

1/81

Answer:

1/81

Step-by-step explanation:

Edge

Bike speed of 21miles per hour. What is the speed per minute how many miles will the cyclist travel in 10 minutes

Answers

Answer:

First part: 0.35 miles per minute

Second part: 3.5 miles in 10 minutes

Step-by-step explanation:

Think about this as a fraction. Fractions can't be added nor subtracted unless they share the same denominator. So for this case, we have to turn hours into minutes. So 21 mph becomes 21 miles per 60 minutes. Then, we divide 60 from each side to find the speed per minute. 21/60 = 0.35, so the answer to the first part is 0.35 miles per minute.

Using what we got, we can answer the second part of the distance covered in 10 minutes. So, we just multiply 0.35 by 10 which is 3.5 miles covered in 10 minutes.

What is the value of the expression -5pqr when
p = 3, q= -5, and r = 2?

Answers

Answer:

150

Step-by-step explanation:

-5pqr

Let p = 3, q= -5, and r = 2

-5(3)(-5)(2)

-15(-5)(2)

75(2)

150

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{pink}{☆Answer}}}}}}:)}[/tex]

See this attachment

DEFG is a cyclic quadrilateral. If ∠E = 27°, find ∠G.

Answers

For a cyclic quadilateral, the combination of opposite angles = 180°. So <G is opposite to <E so G must be 153°

In the American version of the Game Roulette, a wheel has 18 black slots, 18 red slots and 2 green slots. All slots are the same size. A person can wager on either red or black. Green is reserved for the house. If a player wagers $5 on either red or black and that color comes up, they win $10 otherwise they lose their wager. What is the expected value of playing the game once

Answers

Answer:

-$0.26

Step-by-step explanation:

Calculation to determine the expected value of playing the game once

Expected value= [18/(18+18+2) x $5)]- [20/(18+18+2) x $5]

Expected value= ($18/38 x $5) - (20/38 x $5)

Expected value= ($2.37-$2.63)

Expected value= -$0.26

Therefore the expected value of playing the game once is -$0.26

A mixture of jellybeans is to contain twice as many red as yellow, three times as many green as yellow, and twice as many pink as red. Red jelly beans cost $1.50 per pound, yellow cost $3.00 per pound, green cost $4.00 per pound, and pink only costs $1.00 per pound. How many pounds of each color jellybean should be in a 10 pound canister that costs $2.20 per pound?

Answers

There’s like 100 pounds

What is the range of 58, 59, 57, 59, 55

Answers

Answer:

4

Step-by-step explanation:

Hi there!

Range = largest number from data given - smallest number from data given

From the given data, 58, 59, 57, 59, 55,

59 is the largest number and 55 is the smallest number

So the range = 59 - 55 = 4

answer nowwwwwwwwwwwwwwwwwwwwwwwwwwww

Answers

Answer:

7/6

Step-by-step explanation:

(7x/12)/(x/2)

=7/6

Answer: 7/6

Explanation: (7x/12)(x/2)

Evaluate:

3 - - 10-9 divided by (-1)

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{3 - -10 - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{= 3 - (-10) - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{= 3 + 10 - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{3 + 10}\\\\\mathsf{= \bf 13}[/tex]

[tex]\mathsf{= \bold{13} - \dfrac{9}{-1}}[/tex]

[tex]\mathsf{\dfrac{9}{-1}}\\\\\mathsf{= 9\div-1}\\\\\mathsf{= \bf -9}[/tex]

[tex]\mathsf{= 13 - (\bf -9)}[/tex]

[tex]\mathsf{= 13 + 9}[/tex]

[tex]\mathsf{= \bf 22}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 22}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Emily says that the lengths of the sides of her prism are 6 inches 5 inches
and 3 inches. Is Emily correct? Use words and numbers to explain why or
why not.

Answers

It depends on her prism if her prism is tilted then not but if it yes

(6.51 x 10^4) - (3.26 x 10^4)

Answers

Hey there!

[tex]\mathsf{(6.51\times10^4) - (3.26\times10^4)}[/tex]

[tex]\mathsf{= 6.51\times 10^4 - 3.26\times10^4}[/tex]

[tex]\mathsf{10^4}\\\mathsf{= 10 \times10\times10\times10}\\\mathsf{= 100\times 100}\\\mathsf{= \bf 10,000}[/tex]

[tex]\mathsf{= 6.51 \times 10,000 - 3.26 \times 10,000}[/tex]

[tex]\mathsf{6.51 \times 10,000}\\\mathsf{= \bf 65,100}[/tex]

[tex]\mathsf{65,100 - 3.26 \times10,000}[/tex]

[tex]\mathsf{3.26 \times 10,000}\\\mathsf{= \bf 32,600}[/tex]

[tex]\mathsf{= 65,100 - 32,600}[/tex]

[tex]\mathsf{= \bf 32,500}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 32,500}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]{ \tt{6.51 \times {10}^{4} - 3.26 \times {10}^{4} }} \\ = { \tt{(6.51 - 3.26) \times {10}^{4} }} \\ = { \tt{3.25 \times {10}^{4} }}[/tex]

Helppppp please
What is the slope of the line shown below?

Answers

Answer:

A.

[tex]{ \tt{slope = \frac{ - 4 - 2}{ - 1 - 2} }} \\ \\ = { \tt{ \frac{ - 6}{ - 3} }} \\ = 2[/tex]

(25 POINTS)Please help me, and show all of your work step by step.
Now say you invest $6,500 and the highest interest rate you can find is 2.5% compounded annually, but you would have to leave this investment in the account for a minimum of 5 years. If you decide to wait 5 years to buy the car, how much more money will you have to save to buy a car at the price of $8,000? Use the compound interest formula A = P(1 + i)^n.
A = accumulated amount
P = principle
i = interest rate
n = number of years

Answers

Answer:

$ 645.85

Step-by-step explanation:

First you would plug 6,500 into P. The plug 2.5% as 0.025 into i. And plug the years (5) into n.

A = 6500 (1 + 0.025)^5 = 7354.15

That is the amount that would be in the account at the end of the 5 years.

Then you take the cost of the car (8,000) and subtract the money left in the account (7,354.15).

8000 - 7354.15 = 645.85

Your final answer would be rounded to the nearest cent, or the hundredths place.

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