what would you do to solve the system: y=x+3 and y=x^2+x-6

Answer: 16

Step-by-step explanation:

Answer:

See below ↓

Step-by-step explanation:

1.

2.

3.

Answer:

7 units

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-1-6)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-7)^2}[/tex]

[tex]d=\sqrt{49}=7[/tex]

Distance = 7 units

I hope this helps!

Answer:

The difference is approxiametly 8

Step-by-step explanation:

Things need to know

Whole number = Number on the left side of the mixed fraction

Numerator = Number on top of fraction

Denominator = Number on bottom of fraction

How to convert mixed numbers into improper fractions = Multiply denominator by whole number and then add that to the numerator

How to turn improper factions into decimals = Divide numerator by denominator

Improper fraction = A fraction where the numerator is greater than the denominator

Mixed fraction = A whole number and a proper fraction mixed together

For the first mixed number:

[tex]9 \dfrac{ 52 }{ 69 }[/tex]

9 = whole number

52 = numerator

69 = denominator

For the second mixed number:

[tex]1 \dfrac{ 29 }{ 50 }[/tex]

1 = whole number

29 = numerator

50 = denominator

Given:

[tex]9 \dfrac{ 52 }{ 69 } -1 \dfrac{ 29 }{ 50 }[/tex]

Convert mixed numbers into improper fractions

[tex]\dfrac{ 673 }{ 69 } - \dfrac{ 79 }{ 50 }[/tex]

Turn improper factions into decimals

[tex]9.753623188405797-1.58[/tex]

Round both numbers to the nearest whole number

[tex]10-2[/tex]

Subtract 2 from 10

[tex]8[/tex]

Answer: 8

Answer:

1/3

Step-by-step explanation:

essentially saying 3x = 1 where x is the unknown number.

we now solve for x

x= 1/3

The table of the average number of tornadoes is an illustration of proportions

The average number of tornadoes in April is 28

From the table, we have:

Average number of tornadoes in May in Texas = 43

From the question, we have:

May = 154% * April

This gives

43 = 154% * April

Express as decimal

43 = 1.54 * April

Divide both sides by 1.54

April = 27.9

Approximate

April = 28

Hence, the average number of tornadoes in April is 28

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Answer:

the future value would be 473.72 if p is referring to future value

if p is referring to present value it is 121.59

if p is referring to payment it is 58.37

Step-by-step explanation:

you can use spreadsheets to solve this equation using =pmt/=fv/=pv

Step-by-step explanation:

[tex]s .i = \frac{prt}{100} [/tex]

[tex]240 = p \times \frac{12}{100} \times 6[/tex]

[tex]240 = \frac{18}{25} p[/tex]

[tex]240 \div \frac{18}{25} = p[/tex]

[tex]p = 333.3333[/tex]

Answer:

it is B

Step-by-step explanation:

that's because line goes through (0,0)

Answer:

option 4

Step-by-step explanation:

To write in terms of y

Step 1: subtract k from both sides

[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]

Step 2: Multiply the entire equation by n

[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]

Step 3: Divide the entire equation by 'e'

[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]

Answer:

915

Step-by-step explanation:

V=l*w*h V=1/2*b*h*l

V of the rectangular block: 15*5*8 = 600

V of the triangular prism--it's easiest to solve half of it, then just multiply that answer by 2: 1/2*5*7*9 = 157.5

When you double it, it cancels out the 1/2

157.5*2=315

315+600=915

It's 582ft I have noclue what dude is talking about

Step-by-step explanation:

Answer:

The answer is 12,658,538

Step-by-step explanation:

53 times 6,987 = 370,311

370,311 times 34 = 12,590,574

12,590,574 plus 67964 = 12,658,538

Answer:

12,658,538

Step-by-step explanation:

I used a calculator

Answer:

0.631

Step-by-step explanation:

Answer:Eight to 12 inches is usually adequate. If drainage is a problem, or if the plants you are growing prefer drier soil, the bed could be taller and filled with a porous growing medium.

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

right triangle calculator works well

Answer:

5.4 units

Step-by-step explanation:

From the figure ,it's clear that   sin(50) = PQ/7

Then

PQ = 7×sin(50) = 5.362311101833

Therefore the approximate length of PQ I saw 5.4

Answer:

x^2−7x+12      so -7x

Step-by-step explanation:

Answer:

Step-by-step explanation:

question doesnt make sense

Answer:

637

Step-by-step explanation:

rectangle =

12*16*2 = 384

triangle = 12*16/2

= 96

semi circle = pie*hyp^2/2

= pie * (sqrt(12^2+16^2))^2/2

=157

Answer:

24 units²

Step-by-step explanation:

Given:

To find:

The area enclosed by these lines can be expressed as:

[tex]\displaystyle \large{\int_0^6 \int_2^6 dy dx }[/tex]

For:

[tex]\displaystyle \large{\int_2^6 dy}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^b dy = [y]_b^a = a-b}[/tex]

Therefore:

[tex]\displaystyle \large{\int_2^6 dy = [y]_2^6 = 6-2 = 4}[/tex]

Now we we have:

[tex]\displaystyle \large{\int_0^6 4dx}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^bk dx = [kx]_a^b = kb-ka}[/tex]

for k = constant

Therefore:

[tex]\displaystyle \large{\int_0^6 4 dx = [4x]_0^6 = 4(6)-4(0) = 24}[/tex]

Hence, the area of region is 24 units²

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

Answer:

Step-by-step explanation:

diameter = 12 cm

r = 12 ÷2 = 6cm

Volume of cylinder

[tex]\boxed{Volume=\pi r^{2}h}[/tex]

πr²h = 825.192 cubic cm

3.14 * 6 * 6 * h = 825.192

                   [tex]h =\dfrac{825.192}{3.14*6*6}[/tex]

                  h = 7.3 cm

Answer:

Height of cylinder is 7.3 cm

Step-by-step explanation:

Given :-

To find :-

Solution:-

Volume of Cylinder = πr²h

825.192 cm³ = 3.14 × 6 × 6 × h

825.192/113.04 = h

7.3 cm = h

Answer:

6738752.62

Step-by-step explanation:

1,455.8 x 4,628.9=6738752.62

Answer:

6738752.62

hope this helps

Answer:

Let x = time in minutes

Let y = water in ounces

Part A

If the water drips at a constant rate of 2 ounces per 5 minutes, then

x = 0, y = 0

x = 10, y = 4

x = 20, y = 8

Part B

Graph is attached.

Please note that the scales on the y and x axes are different.

Part C

[tex]\sf y=\dfrac25x[/tex]

Answer:

x | -3  -2  -1   0  1

y | 0   -3  -4 -3  0

Step-by-step explanation:

f(x) = x² + 2x - 3

x = -3 then y = (-3)² + 2(-3) - 3 = 9 - 6 - 3 = 3 - 3 = 0

x = -2 then y = (-2)² + 2(-2) - 2 = 4 - 4 - 3 = 0 - 3 = -3

x = -1 then y = (-1)² + 2(-1) - 1 = 1 - 2 - 3 = -1 - 3 = -4

x = 0 then y = (0)² + 2(0) - 3 = 0 + 0 - 3 = 0 - 3 = -3

x = 1 then y = (1)² + 2(1) - 3 = 1 + 2 - 3 = 3 - 3 = 0

Answer:

See below ↓↓

Step-by-step explanation:

(a) Most variability

(b) Highest scores on average

The value of x in the given figure is 91 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

We need to find the value of x in the given figure.

To find x, firstly we need to find the unknown interior angle.

By Angle sum property the sum of three angles of a triangle is 180 degrees.

a+54+37=180

a+91=180

Now subtract 91 from both sides

a=180-91

a=89 degrees.

Now let us find the value of x which is adjacent to 89 degrees.

The sum should be 180 degrees

a+x=180

89+x=180

Subtract 89 from both sides

x=91 degrees

Hence, the value of x in the given figure is 91 degrees.

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Answer:

B

Step-by-step explanation:

9833923

Answer to first four-

first one- 2f+2f=60

4f=60

f=15

second one-18+2d=38

2d=20

d=10

(short side is 9)

third one-2a+a+5+a+5=26

4a+10=26

a=4

long side is 9

short side is 8

fourth one-3xy+3xy+xy=63

7xy=63

xy=9

long side is 27