Systems of equations with different slopes and different y-intercepts have one solution?​

Answer:

A=45 b=110

Step-by-step explanation:

I used a calc

Answer:

A=135 b=200

Step-by-step explanation:

135+200+25=360

X+(x+65) +25=360

Subtract 25 from both sides

X+ (x+65)=335

Combine like terms

2x +65=335

Subtract 65 from both sides

2x =270

Divide by 2

X=135

To get b you just do 135+65=200

Answer:

Jessica is currently 3 years old and her father is 27 years old.

Step-by-step explanation:

System of Equations

Let's call:

x = Jessica's age

y = Jessica's father's age.

There are two conditions:

1: Jessica's father is 24 years older than her or, equivalently:

y = x + 24

2: Three years from now, he will have five times her age.

Three years from now, Jessica will have x+3 years, and her father will have y+3 years, thus:

y + 3 = 5( x + 3 )

Substituting the first condition into the second:

x + 24 + 3 = 5( x + 3 )

Operating:

x + 27 = 5x + 15

Subtracting x and 15:

27 - 15 = 5x - x

12 = 4x

Solving:

x = 12 / 4 = 3

x = 3

y = 3 + 24 = 27

y = 27

Jessica is currently 3 years old and her father is 27 years old.

Answer:

the answers you'd put in the box are 8 and 7.

when the drop down question pops up, the answer i commutative.

Step-by-step explanation:

i got it right lol

Answer:

11) 6

12) 3

Step-by-step explanation:

2 log 2 8

so 2(log2 8)

Base 2 so 2^x=8 so 3.

2*3 is 6.

log a a cubed

base a so a^ x = a^3

x=3

so 3.

Hope this helps ;D

Answer:

6 and 3

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] ⇔ n log x

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

[tex]log_{a}[/tex] a = 1

(11)

let 2 [tex]log_{2}[/tex]8 = n , then

[tex]log_{2}[/tex] 8² = n

[tex]log_{2}[/tex] 64 = n

[tex]log_{2}[/tex] [tex]2^{6}[/tex] = n

[tex]2^{6}[/tex] = [tex]2^{n}[/tex]

Since bases on both sides are equal, equate the exponents, that is

n = 6

(12)

[tex]log_{a}[/tex] a³

= 3 [tex]log_{a}[/tex] a

= 3 × 1

= 3

Answer:

Step-by-step explanation:

perimeter = 2(length + width)

= 2(9 yd  2 ft + 5 yd  2 ft)

= 2(14 yd  4 ft)

= 28 yd  8 ft

Answer:

y=(x+1/2)^2-21/4

Step-by-step explanation:

45 boys and 15 girls

Answer:

3.65

Step-by-step explanation:

this is the same as saying

50%of 7.3

which is 3.65

Answer:

48

Step-by-step explanation:

dddd

Answer: 22.5

Step-by-step explanation: 45/2

Answer:

0.04 4 is repeated

Step-by-step explanation:

Answer:

A.True

B.False

C.False

D.True

E.True

F.False

Step-by-step explanation:

A. It's true because 4/4 is 1

B. It's false because 2×4 is 8 not -8

C. x exponent 2, 4 exponent 2 is 16 not -16

D. 4×(-3) is -12 so it's true

E. ×+×+×, 4+4+4 is 12 so again it's true

F. ×+4, 4+4=8 not -8

I think the answers are this!

Answer/Step-by-step explanation:

Change the 3rd and 4th input. ALL the input values must be different even if they have the same output values in order to be a function. NONE of the input values should be the same, it just has to be something completely different for it to be correct. It may not be linear, but It will be correct.

Answer:

Exact form: 17/165

Decimal form: 0.103

Step-by-step explanation:

hope this helps :)

Answer:

0.1

Step-by-step explanation:

(9+8)/(88+77)

(17)/(165)

17/165

0.1030303030

0.10

Answer:

yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Prime less than 10:

The number is:

Answer:

that would be 3/5 minutes

Step-by-step explanation:

Answer:

y = 1/3x -4

Step-by-step explanation:

The y intercept is -4 as you can see in the graph. To find the slope look at the graph and find where it perfectly intercepts. It goes up one block and to the right three. So the slope is 1/3 . Since the line is going up to the top right it’s a positive slope.

Answer:

3/8 < 7/16 < 11/20 < 5/6

Step-by-step explanation:

Answer: the answer is B

Step-by-step explanation:

The solutions of the equation X⁴-9x² + 8 = 0 is ±2√2 and ±1

X⁴-9x² + 8 = 0

Let x² = y

Then the equation becomes y² - 9y + 8 = 0

This is in the form ax² + bx + c = 0

We can solve by using quadratic formula for finding roots

x = {-b ± √(b² - 4ac)} / 2a

where,

= {-(-9) ± √((-9)2 - 4(1)(8))} / 2(1)

= {9 ± √(81 - 32)} / 2

= {9 ± √49} / 2

= {9 ± 7}/2

= 16/2, 2/2

= 8, 1

y = 8,1

x = ±2√2, ±1

Learn more about equation:

https://brainly.com/question/16863577

Answer:

6 1/10

Step-by-step explanation:

just need to find out the difference in the distances

9 2/5 - 3 3/10 = 6 2/5 - 3/10 = 6 1/10

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Just subtract 3_3/10 from 9_2/5.

Let 3_3/10 be 33/10.

Let 9_2/5 be 47/5.

47/3 - 33/10 =

LCD is 30.

30 ÷ 3 = 10.

10 x 47 = 470

30 ÷ 10 = 3

3 x 33 = 99

We now have (470 - 99)/30.

This becomes (371/30) miles.

You can express (371/30) miles as a mixed number answer if needed.

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

The equation of the line is y = m x + b, where

The rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

∵ The line passes through points (3, 4) and (-4, -3)

∴ x1 = 3 and y1 = 4

∴ x2 = -4 and y = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

∴ m = 1

→ Substitute it in the form of the equation above

∴ y = 1(x) + b

∴ y = x + b

→ To find b substitute x by 3 and y by 4 in the equation

∵ 4 = 3 + b

→ Subtract 3 from both sides

∵ 4 - 3 = 3 - 3 + b

∴ 1 = b

→ Substitute it in the equation

∴ y = x + 1

∴ The equation of the line is y = x + 1

Answer:

Line L has a slope of 1 and Line k has a slope of 2.

Step-by-step explanation: You can figure this out by using the rise (up) over run (left/right) method. Line l had 1/1 which equals 1 and line K was 2/1 which equals 2!

Answer: it is D

Step-by-step explanation:

line L hits a new point every 1 point. Line

K hits a new point at every 2 points.

Answer:

3.3%

Step-by-step explanation:

compound interest: A = Pe^(rt)

A = 534.46

P = 450

t = 5

534.46/450 = e^(5r)

e^(5r) = 1.18

lne^(5r) = ln 1.18

(5r)lne = ln1.18

ln1.18 = 5r

5r = 0.165

r = 0.033

or 3.3%

Answer:

5( 4w -3)

Step-by-step explanation:

just pulled out a 5

Answer:

[tex]\huge\boxed{\sf 5(4w-3)}[/tex]

Step-by-step explanation:

[tex]\sf 20w-15\\\\Highest\ Common\ Factor= 5\\\\Take \ 5 \ common\\\\5(4w-3)\\\\This \ is \ the \ required\ factorized \ form\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

105m²

Step-by-step explanation:

15+6=21

21÷2=10.5

10.5x10=105

Answer:

c=37

Step-by-step explanation:

The answer c is 37.

Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number

Here is is given that,

629 divided by the number c equals 17.

Here 629 is the dividend, c is the divisor and 17 is the quotient.

We have to find the value of the divisor.

Mathematically the given statement can be written as,

629 / c = 17

Multiplying both sides of the equation with c, we get,

629 = 17 c

Dividing both sides by 17,

c = 629 / 17

c = 37

Hence the value of c is 37.

To learn more about Division, click on the link given below :

https://brainly.com/question/26204160

#SPJ2

Answer: B, D, E

Step-by-step explanation: Its very easy to check, For B, you notice that it is the same, only the numbers are swapped. In multiplication, this is perfectly fine. For D, I just knew that the answer was 12x+9. And in D, there are 3 4x and 3 threes', so that one was correct. And for E, all you have to do is to multiply accordingly to the distributive property

Answer:

The graph would be similar to a Sin or Cos graph with a vertical shift. As the music gets louder the graph will go up and as the music and crowd become quieter, the graph will go down. Going up and down until the end of the concert where it will be 0.

Step-by-step explanation:

This is because the concert music would be loud, causing the sound on the graph to have a steady line.

Hope this helped! :)