The ordered pair (-1, 4) is a solution to which of the pairs of equations? (1)

(1) y = -x + 3, y = x + 1
(2) x - y = 2, x + y = - 6
(3) x + y = - 2, 7x - 4y = 8
(4) y = -x + 3, y = 2x + 6

Answers

Answer 1

Answer:

d

Step-by-step explanation:

Substitute x = -1 into the equations. If the solution is y = 4 for both, then (-1, 4) is the solution.

(a) y = 1 + 3 = 4

    y = -1 + 1 = 0

(b) -1 - y = 2  ⇒  y = -3

  -1 + y = -6  ⇒  y = -5

(c) -1 + y = -2  ⇒  y = -1

7(-1) - 4y = 8  ⇒  y = -15/4

(d) y = 1 + 3 = 4

   y = 2(-1) = 6 = 4


Related Questions

Use the graph to determine the input values that correspond with f(x) = 1.

Answers

Answer:

it would be 0,1

Step-by-step explanation:

Determine the function which corresponds to the given graph. The asymptote is x = -1.

Answers

Answer:

y = log(x + 1)

Step-by-step explanation:

Given graph represents a logarithmic graph.

Let the equation of the graph is represented by the logarithmic graph,

y = log(x + b)

This graph passes through origin (0, 0),

For the given point (0, 0),

0 = log(0 + b)

log(1) = log(b)

b = 1

Therefore, the function that corresponds the graph will be,

y = log(x + 1)

3×7=21 is direct or indirect proportion. give a reason for your answer​

Answers

Direct proportion because 3 x 7 = 21 and 7 x 3 = 21 meaning that no matter what way the numbers are the answer will always be 21

Help with substitution pls

Answers

Answer:

x=4 and y=8

Step-by-step explanation:

this should be correct

2x=-2x+16

4x=16

x=4

and...

y=-y+16

2y=16

y=8

I hope this helps!!

Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Janelys can use while staying within her budget.

Answers

Answer:

  less than 4.7 gigs

Step-by-step explanation:

The cost of Janelys's cell phone plan will be the sum of the flat cost and the product of the per-gig cost and the number of gigs of data she uses.

  y = 46.50 +5g

She wants this to be less than $70 per month, so we can find the constraint on her data usage from ...

  46.50 +5g < 70

  5g < 23.50 . . . . . . . . subtract 46.50

  g < 4.7 . . . . . . . . . . divide by 5

Janelys must use less than 4.7 gigs of data to stay within her budget.

What is the image point of ( 4 , − 6 ) (4,−6) after a translation right 5 units and up 4 units?

Answers

Answer:

(9,-2)

Step-by-step explanation:

5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them.  Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)

HELP HELP HELP THANK YOU​

Answers

0.6 can be written in fractions form as;

[tex]0.6 = \frac{6}{10} [/tex]

By simplifying the numeration and denominator by 2, you get;

[tex] \frac{3}{5} [/tex]

Now that we have common denominators we can compare both fractions and say that the one with the higher denominator is larger, Hence=

[tex] \frac{4}{5} > \frac{3}{5} [/tex]

[tex] \frac{4}{5} > 0.6[/tex]

Answer:

4/5 > 0.6

Step-by-step explanation:

Given into Decimal:

4/5 = 0.8

Thus, 0.8 > 0.6

Hence, Answer = 4/5 > 0.6

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Bob starts off with a certain amount of oranges. After giving three away, he now has seven. How many oranges did bob start with?

Answers

He gives away 3 oranges and now he has 7. 7+3 is 10 . so he started with 10 oranges all together.
Bob started off with 10 apples.

Need help mark you as brailiest

Answers

Answer:

C,F

Step-by-step explanation:

What are the solutions of 5-3n > -4?

Answers

Answer:

n < 3

Explanation:

If the equation 2x

2 – 8x – 42 = 0 is solved by factoring, what is its positive
solution set?
A. {-3} B. {5} C. {6} D. {7}

Answers

Answer:

B.{5}

Step-by-step explanation:

2-8x-42=0

(÷2), we get,

1-4x-21=0

-4x-20=0

-4x=20

x=20÷(-4)

x=(-5)

since the question asks for a positive set, the answer is [x=5]

The positive solution set is D. {7}.

What is a set ?

A set is a well defined collection of objects written by commas and closed by second brackets.

According to the given question the equation 2x² - 8x - 42 = 0 have two factors and we have write the positive factor in form of a set.

2x² - 8x - 42 = 0

x² - 4x - 21 = 0

x² -7x + 3x - 21 = 0

x(x-7) + 3(x - 7) = 0

(X+3) = 0 OR (x-7) = 0

x = -3 OR x = 7.

learn more about sets here :

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Each leg of an isosceles triangle is 3 units less than the length of its base. If the perimeter is 30 units, how long is each leg

Answers

Answer: 9 units

Step-by-step explanation:

Which graph best represents the following equation?
y + 3 = |x – 5|

Answers

Answer:

This one

Step-by-step explanation:

The graph of the function y + 3 = |x - 5| is the first diagram given in the options.

What is modulus function ?

A modulus function always outputs positive numeric value irrespective of the sign of the input.

According to the given question we have to determine the graph of             y + 3 = | x - 5 |.

So, y + 3 = | x - 5|

y = | x - 5 | - 3.

Now to obtain the vertex of the graph we'll set x -5 = 0 .

x = 5 and that corresponds to y value of -=3.

So, the vertex of the graph is (5,-3).

Now to plot the function we'll select some values of less than and greater than 5.

When x = 2 , y = 0. x = 4 , y = 2. x= 6 , y = -2. x = 8 y = 0.

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please help with my math its Two-step mixed operation word problems

Answers

Answer: 5 more times.

Step-by-step explanation: In total, it takes her 4 minutes to climb to the top of the water slide and slide down.  Because the water slide closes in 20 minutes, she can slide down more 5 times.  5 x 4 equals 20.

Have a great day! :)

If f(x) = -4x - 5 and
g(x) = 3 - X,
what is g(-4) + f(1)?

Answers

If f(x) = -4x - 5 and g(x) = 3 - X,the value g(-4) + f(1) is equal to -2.

The function f(x)  is  f(x)=-4x-5

The function  g(x) is g(x)=3-x

g(-4)=3-(-4)=3+4=7

f(1)=-4(1)-5=-9

g(-4)+f(1)=7+(-9)=7-9=-2

What is the composition of functions?

Composition is the process of the generation of new functions.It is basically applying a function to a function.The domain is also changed for the new function.A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.

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What is the answer? (-3,7x) x (5.1y)

Answers

(−3.7x)(5.1y)

= −18.87xy

Unit 8, Lesson 4
Practice Problems
1. A carnival game has 160 rubber ducks floating in a pool. The person playing the game
takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none
of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom.
Then estimate the number of ducks you think have blue marks. Explain your reasoning.

Answers

Answer:

3

Step-by-step explanation:

Maggie bought 30 pounds of produce to feed her hungry hippopotamus. Bananas cost $1 per pound; guavas cost $2 per pound; and dragon fruit costs $3 per pound. Maggie spent $46. The weight of the bananas that Maggie bought was twice the weight of the guavas and dragon fruit combined. Which system of equations in three variables can be used to determine how many pounds of each fruit Maggie bought?

Answers

Answer:  Required system:

x+y+z=30

x+2y+3z = 46    

x= 2y+2z      

Step-by-step explanation:

let x=  Number of pounds of bananas

y = Number of pounds of guavas

z = Number of pounds of dragon fruit

According to the question,

x+y+z=30     (i) (total fruits bought = 30 pounds)

Bananas cost $1 per pound; guavas cost $2 per pound; and dragon fruit costs $3 per pound and total cost = $46.

∴ x+2y+3z = 46         (ii)

Also, weight of the bananas= 2 (weight of the guavas+ weight of dragon fruit)

∴ x = 2(y+z)

⇒x= 2y+2z       (iii)

from (i), (ii) and (iii)

x+y+z=30

x+2y+3z = 46    

x= 2y+2z      

are the equations for the required system.

A cylinder has a height of 15 meters and a diameter of 8 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

15+8= 23

math magician I like math but I really don't some time know how to do it but if their is wrong then you have to ask your teacher or look in your notebook

Rectangle LMNP with vertices L(-2, 7),
M(2,3), N(0, 1), and P(-4, 5):
(a) Translation: (x, y) - (x + 6, y-8)
(b) Reflection: in the y-axis

Answers

Answer:

L’ is (-4,-1)

M’ is (-8,-5)

N’ is (-6,-7)

P’ is (-2,-3)

Step-by-step explanation:

Here, we want to from new vertices by translation followed by reflection;

When we reflect , we simply change the sign of the x-coordinates if we are reflecting over the y-axis

We proceed as follows;

1. L (-2,7)

Translation will be (-2 + 6, 7-8) = (4,-1)

Reflection will be ( -4,-1)

so L’ is (-4,-1)

2. M (2,3)

Translation will be

(2 + 6, 3-8) = (8,-5)

Reflection will be ( -8,-5)

So M’ is (-8,-5)

3. N (0,1)

translation will be

( 0 + 6, 1-8) = (6,-7)

Reflection will be ; (-6,-7)

4.P (-4,5)

Translation will be (-4 + 6, 5-8)

= (2, -3)

Reflection will be;

(-2, -3)

P’ = (-2,-3)


Which set is closed under multiplication?
A. integers
B. prime numbers
C. negative numbers
D. {5, 10, 15,20}

Answers

Step-by-step explanation:

A

Because the multiplication of two integers still results in an integer.

i don’t really understand this

Answers

Answer:

you put the -3 where the x's are

Step-by-step explanation:

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

i think i hope thats right

Answer:

Plug in -3 into all the x's are

Step-by-step explanation:

f(x)= -2(-3)²-3(-3)+6

describe the pattern for each sequence ( the first box )

Answers

Answer:

2: decrease by 3

3: double total previous number

4: divide by haf of previous total

Step-by-step explanation:

2: decrease by 3

3: double total previous number

4: divide by haf of previous total

Have an amazing day!!

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Sam is a forklift operator at a Los Angeles warehouse. A 500 kg crate arrived from Taiwan. His forklift can load 2,500 lb. He wants to know if it is safe to lift the crate. How many pounds does the crate weigh?

PLZZZ HELP

Answers

1 kg = 2.2 pounds ( rounded to the nearest tenth)

500 kg x 2.2 = 1,100 pounds

1100 pounds is less than 2,500 so the forklift can lift it.

Answer:

2,500= 1133.981

Step-by-step

The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237

= 1133.980925 kg

0.45359237  this is the conversion rate therefore 1134 is the answer (was rounded)

I made a bunch of mini
pies to eat and give to my
neighbors for pie day. I
want to tie ribbons around
5 of them. The pies are
each 3 inches in diameter.
How many inches of ribbon
do I need?

Answers

Answer:

15 inches is needed of ribbon

Jacob earns $15 per hour. He has saved $200 and is planning to buy a dresser that costs $500. Which of these represent the number of hours' pay, x, that Jacob must save to be able to purchase the dresser?

Answers

Answer:

500 - 200 = 300. 300 ÷ 15 = 20. Jacob needs 20 hours of pay for the dresser

Pedro signed up for a streaming service that cost 13$ per month. The service allows Pedro to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. how much total money would Pedro have to pay in a month in which he downloaded 45 songs? How much would he have to pay if he download s songs?

Answers

Answer:

46.75 dollars and 13 + 0.75s = x

Step-by-step explanation:

13+.75S=Monthly payment

13+.75(45)=46.75

If he downloaded 45 songs he would pay 46.75 dollars

If he downloaded S songs he would pay 13 + 0.75s = x

Find the surface area of the following figure.
11 yd
6 yd
C

Answers

Answer:

263.76 square yards

Step-by-step explanation:

SA=2(3.14)r^2 + 2(3.14)rh

SA=2(3.14)(3)^2 + 2(3.14)(3)(11)

SA=56.52+207.24

263.76 square yards

Nick opens a savings account with $50. Each week after, he deposits $15. In how many weeks will he have saved $500?

Answers

Answer:

After 30 weeks, Nick will have achieved his goal. The equation will be, 50+15x=500

Step-by-step explanation:

Can someone please help me with this by doing L hospitals rule?

Answers

Answer:   [tex]\frac{-m^2+n^2}{2}[/tex]

If the font is too small, it says (-m^2+n^2)/2

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

Explanation:

If you plug x = 0 into the original expression, then you'll get the indeterminant form 0/0 after simplifying.

Recall that cos(0) = 1

So we use L'Hospitals rule to derive the numerator and denominator separately (don't use the quotient rule)

[tex]\displaystyle \lim_{x\to0} \frac{\cos(mx)-\cos(nx)}{x^2}\\\\\\\displaystyle \lim_{x\to0} \frac{-m\sin(mx)+n\sin(nx)}{2x}\\\\\\[/tex]

Plug x = 0 into this new expression. You should get 0/0 again here as well, which means you'll have to do another round of L'Hospital

[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\[/tex]

Now plugging in x = 0 leads to something that isn't indeterminant

Evaluating the limit gets us

[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\=\frac{-m^2\cos(m*0)+n^2\cos(n*0)}{2}\\\\\\= \frac{-m^2+n^2}{2}\\\\\\[/tex]

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