Solve this system of equations and enter an ordered pair (x,y). y = x + 3 y = -x - 5

Answer:

x = sqrt(17) - 1 or x = -1 - sqrt(17)

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 1 = 17

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 1)^2 = 17

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 1 = sqrt(17) or x + 1 = -sqrt(17)

Hint: | Look at the first equation: Solve for x.

Subtract 1 from both sides:

x = sqrt(17) - 1 or x + 1 = -sqrt(17)

Hint: | Look at the second equation: Solve for x.

Subtract 1 from both sides:

Answer:  x = sqrt(17) - 1 or x = -1 - sqrt(17)

Answer:

Lily has a higher ratio than Logan

Step-by-step explanation:

The True statement is Lily has a higher ratio than Logan

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Column 1              Column 2

       3                        9

       4                        12

       5                        15

       6                        18

Second table

Column 1              Column 2

       4                        10

       6                        15

       12                       30

       14                       35

The ratio from the first table is = 3/9 = 1:3 = 5/15

and, the ratio from the second table is = 4/10 = 2:5= 6/15

Hence, Lily has a higher ratio than Logan.

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Answer:

12.10on zas

Step-by-step explanation:

Esun as uma

Answer:

See below.

Step-by-step explanation:

"The cost, c, to have dinner at Jack's Cafe is at most $25."

In other words, the cost can not go above $25.

This means that the cost c will always be less than or equal to $25.

So, our answer is:

[tex]c\leq 25[/tex]

Or the second choice.

And we're done!

Answer:

5000

Step-by-step explanation:

Given the following :

Constructed expression used to express size of debt after m, months :

36,700 - (5000 + 500m)

Since it was stated that he his whole signing bonus was dedicated towards paying his debt, then this will be a constant figure or digit.

Then a fixed amount from his monthly pay is also dedicated towards offsetting the loan:

Thus the fixed amount will be the Coefficient of m, where m is the number of months.

Thus total amount paid after m months can be deduced from the expression to be :

(5000 + 500m); where

5000 constant fee is the signing bonus.

Answer:

5000

Step-by-step explanation:

Answer:

d =7.6

Step-by-step explanation:

[tex](-3,11) =(x_1,y_1)\\(-6,4)=(x_2,y_2)\\\\\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\=\sqrt{\left(-6-\left(-3\right)\right)^2+\left(4-11\right)^2}\\= \sqrt{(-6+3)^2+(4-11)^2}\\ \\d= \sqrt{(-3)^2+(-7)^2} \\\\d = \sqrt{9+49}\\ \\d = \sqrt{58}\\\\d = 7.61577\\\\d =7.6[/tex]

Answer:

Least Common Multiple of 3 , 4 and 7 is 84 .

Step-by-step explanation:

Answer:

your answer is 20

hope this helped you

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Answer:

24/68 inches

Step-by-step explanation:

Multiply 3 times 8 to get 24. The denominator was multiplied by 8 so you have to do the same thing to the numerator.

Hope This Helps :)

The equivalent of the quantity [tex]\frac{3}{8}[/tex] inch is [tex]\frac{24}{64}[/tex] inch.

The given quantity is [tex]\frac{3}{8}[/tex] inch.

Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.

Here, in equivalent given fraction denominator is 64.

Let the numerator be x.

Now, [tex]\frac{3}{8}[/tex] inch = [tex]\frac{x}{64}[/tex] inch

3×64=x×8

x=3×8

x=24

So, the numerator of the fraction is 24.

Hence, the equivalent of the quantity [tex]\frac{3}{8}[/tex] inch is [tex]\frac{24}{64}[/tex] inch.

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Answer:

5.76 seconds

Step-by-step explanation:

We are given;

Position of rock from ground level; h(t) = 9 m

Height of cliff;h_0 = 45 m

Velocity;v_0 = 22 m/s

To solve for the time, we will use the gravity formula which is;

h(t) = (-1/2)gt² + (v_0)t + h_0

Plugging in the relevant values to get;

9 = (-1/2)(9.81)t² + 22t + 45

Subtract 9 from both sides to get;

-4.905t² + 22t + 45 - 9 = 0

-4.905t² + 22t + 36 = 0

Finding the roots of the equation through quadratic formula gives;

t = 5.76 or -1.27

t cannot be negative, so we will use the positive value to get;

t = 5.76 s

Thus, the rock will be 9m from the ground level after 5.76 seconds

Answer:

{x is a set of Z, x<-3}

Step-by-step explanation:

Z-integer

Answer:

it wouldn't be equal

Step-by-step explanation:

Answer:

  (+8)-(+7) = (+8)+(-7) = 1

Step-by-step explanation:

The given statement ...

  (+8)-(+7)=(+8)+(+7)=(+8)+(-7)

is false. The middle sum is not equal to the other two.

__

In general, subtracting a number is the same as adding it opposite:

  (+8)-(+7) = (+8)+(-7) = 1

Answer:

2

Step-by-step explanation:

since it takes 1/3 to make one batch then you have 2/3 it means yesterday they made 2 batches

Answer- 50 feet

Step-by-step explanation:

1 times 6 equals 6

n times 6 equals 300

solve for n

Answer:

Ok, here we have two points A and B.

The shorter object will be the second option, AB with a line on top, this is a segment, so the length of this object is equal to the distance between A and B.

The next one is AB with an arrow pointing to the right, this is ray, is a line that starts in A and passes through B, and continues infinitely.

The third will be the bottom option, AB with a double-arrow on top, this is the notation for a line that passes through A and B, and it extends to infinity in both directions.

Answer:

Probability of having broken glass =  0.1933

Probability of not having broken glass = 0.8067

Step-by-step explanation:

The Treatment table in the file attached to the given question is written out and completed below;

                                                  Treatment

Response       Smashed into             Hit                 Control       Total

      Yes             16                               7                        6             29

       No             34                              43                     44            121

Total:                  50                            50                     50           150

Using relative frequencies,

the distribution of responses about whether there was broken glass at the accident for the subjects in this study can be computed as follows:

Probability of having broken glass = [tex]\dfrac{29}{150}[/tex]

Probability of having broken glass =  0.1933

Probability of not having broken glass = [tex]\dfrac{121}{150 }[/tex]

Probability of not having broken glass = 0.8067

Answer:

-4

Step-by-step explanation:

=> -|-12+20-5-7|

=> -|-4|

=> -4

Answer:

13.16

Step-by-step explanation:

Step-by-step explanation:

in this problem, we are expected to convert from miles per hour to feet per second

a). What is her speed in miles per hour?

we know that speed= distance/ time

given that

distance= 26.2 mile

time= 5 hours

substitute and solve for speed we have

speed= 26.2/5

speed= 5.24 miles per hour

b) What is her speed in feet per second?

1 mile per hour is 1.46667 feet per second

5.24 miles per hours will give x

cross multiply to solve for x we have

x= 5.24*1.46667

x= 7.68 feet per seconds

Answer:

108/5

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

because -21.6 rounded to the next whole number is rounded to -22 because of the 6 in the number, which is larger than 5 so it passes to the next highest number.

Answer:

g(-2) = 0

g(3.14) = 21.2796

Step-by-step explanation:

Simply substitute the values for x.

Step 1: Find g(-2)

g(-2) = (-2)² + 3(-2) + 2

g(-2) = 4 - 6 + 2

g(-2) = -2 + 2

g(-2) = 0

Step 2: Find g(3.14)

g(3.14) = (3.14)² + 3(3.14) + 2

g(3.14) = 9.8596 + 9.42 + 2

g(3.14) = 19.2796 + 2

g(3.14) = 21.2796

Answer:

x€(4, -1.5)

Hope this answer is helpful...

Make me as brainliest...

Answer:

30 meters per second

Step-by-step explanation:

Step 1:

600 ÷ 20 = 30

Answer:

30 meters per second

Hope This Helps :)

Answer:

30 m /s

Step-by-step explanation:

We are looking for the speed

d/t = speed

600m / 20 second

30 m /s

Answer:

y + 2 = [tex]\frac{4}{3}[/tex] (x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{4}{3}[/tex] and (a, b) = (9, - 2) , thus

y - (- 2) = [tex]\frac{4}{3}[/tex] (x - 9) , that is

y + 2 = [tex]\frac{4}{3}[/tex] (x - 9)

Answer:

y+2 =  4/3( x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line

y - -2 = 4/3( x-9)

y+2 =  4/3( x-9)

Answer: he will have $11.60 left

Answer:

x= 0.348 OR X= -1.148

Step-by-step explanation:

Given that:

2x^2+8+3x^2+4x-10

The first step is to rearrange the parameters given, by doing so, we have:

= 2x^2 +3x^2 +4x -10+8

= 5x^2 +4x - 2

The above equation forms the basis of a quadratic equation;

So using quadratic formula

= (-b +/- (√b^2-4ac))/2a

= (-4 +/- (√4^2 -4*5*(-2))/2*5

= -4 +/- (√ 16 - (-40))/10

=( -4 +/- √ 56 ) / 10

=( -4 +√ 56 ) / 10 OR =( -4 - √ 56 ) / 10

= (-4 + 7.48)/10 OR (-4 -7.48)/10

= 3.48/10 OR -11.48/10

= 0.348 OR. -1.148

SO, x= 0.348 OR X= -1.148

Hey there! I'm happy to help!

All of the sides of a square are the same. Therefore, to find the area, you multiply the side by itself. Multiplying a number by itself is conveniently called squaring.

Doing this backwards is called finding the square root. If you have an area of 64, you square root it, showing you that the sides are 8.

Therefore, the side length here is √94.

If we put √94 into the calculator, we see that it is 9.895359715.....

That number never ends and it goes on in no particular order, so it cannot be written as a fraction of two integers and therefore is not a rational number.

Have a wonderful day! :D

Answer:

Let the unknown number be x ;

[tex]2(x) +31\\=2x+31[/tex]

Step-by-step explanation: