The steps used to solve the equation 4x + 3 = 15 for x are shown below.

4+3=15
Step I:
Step II:4=12=3

Which property makes step I true?

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

Answer:

x = [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x^2+x}[/tex] ← factor denominator

[tex]\frac{4x}{x+1}[/tex] - [tex]\frac{5}{x}[/tex] = [tex]\frac{4}{x(x+1)}[/tex]

[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]

Multiply through by x(x + 1)

4x² - 5(x + 1) = 4

4x² - 5x - 4 = 4 ( subtract 4 from both sides )

4x² - 5x - 9 = 0 ← in standard form

(x + 1)(4x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

4x - 9 = 0 ⇒ 4x = 9 ⇒ x = [tex]\frac{9}{4}[/tex]

However, x ≠ - 1 for reason given above, then

solution is x = [tex]\frac{9}{4}[/tex]

Answer:

x=4/9

Step-by-step explanation:

3(2x+8)=60x

6x+24=60x

6x+24-24=60x-24 -60x

-54x=-24

-54x= -24

x= 4/9

Answer:

it would also equal 50

Step-by-step explanation:

angle 4 and angle 8 are corresponding angles meaning that they are the same angle

Answer:

Yes

Step-by-step explanation:

function

A set of ordered pairs where each first element is paired with one and only one second element and no element in either pair is without a partner.

Answer:

(3x 2 + 5x - 8) = (3x+8)(x−1)

(x^2-3x + 2)= (x−1)(x−2)

Step-by-step explanation:

you just have to factor

Answer:

1) 11x-8

2)       x2-3x+2      

Step-by-step explanation:

if it is correct plz plz mark as brainliest

thank you

19NBoli

Answer:

160 hope this work!!! love

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

Answer:

12 inches

Step-by-step explanation:

Answer:

f = 1.1 Hz

Step-by-step explanation:

Given that,

The velocity of an ocean wave, v = 4.4 m/s

The distance  between the crest of each wave is 4 m.

We need to find the frequency of the waves.

The distance between the crest of a wave is called the wavelength of a wave.

The relation between the frequency, wavelength and the velocity of a wave is given by :

[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]

So, the frequency of the waves is 1.1 Hz.

Answer:

94

Step-by-step explanation:

Average = sum of numbers /  number of items in the set

for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360

If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280

so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376

Average of the new list = 376 / 4 = 94

Answer:

[tex] \frac{ \sqrt{10} }{5} [/tex]

or .632

Step-by-step explanation:

You have the beginning right.

However, it is X squared, so once you have the answer from adding the two fractions together, you have to Square Root that answer.

Answer:

x= √(10/25)

Step-by-step explanation:

From what you've written, you're on the right track. The formula is a^2+b^2=c^2. our two sides are a and b (doesn't really matter here which is which). And the hypotenuse, the longest leg the diagonal, is always c. Based on your substitution, everything is correct, except x. x should be squared. so the equation you should have is (1/5)^2 + (3/5)^2=x^2. From there, solve for x by adding a^2 and b^2 to get 10/25 = x^2.

Take the square root of each side to find √(10/25)=√(x^2). This is simplified as x equals plus or minus √(10/25). it's plus or minus because you took the square root. It's important to write that when solving square root. However, since this is a triangle your answer will be positive(you can't have negative distance).

Answer:

The common ratio of the geometric sequence is:

[tex]r=-2[/tex]

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

where

Given the sequence

[tex]-2,\:4,-8,\:16,\:-32,\:...[/tex]

Compute the ratios of all the adjacent terms:  [tex]r=\frac{a_n+1}{a_n}[/tex]

[tex]\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-2[/tex]

Therefore, the common ratio of the geometric sequence is:

Answer:

25%

Step-by-step explanation:

3/12 = 1/4 = 0.25 = 25%

Answer:

234

Step-by-step explanation:

1950 x 0.88 = 1716 paid

1950-1716 = 234

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

Find entire area: a = 1/2 (b) (h)

Answer:

$45

Step-by-step explanation:

15 + (150 * 0.20)

15 + 30

$45

The formula to calculate mean= Add the numbers and Divide by how many numbers( there are 7 numbers)..............

If the answer is wrong.....

Sorry, because I read in class nine........

Answer:

wut

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(-5) = (-5)^2 + 3(-5) - 21

= 25 - 15 - 21

= -11

Answer:

11

Step-by-step explanation:

) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.

Step-by-step explanation:

Length : 7cm

Breadth : 5cm

Area of a rectangle :

Length × Breadth

[tex]Area = 7cm \times 5cm \\ = 35 {cm}^{2} [/tex]

Answer:

its A

Step-by-step explanation:

can i have brainliest

Answer:

9 cups of grape juice = 10 cups of apple juice.

Step-by-step explanation:

2 cups of grape juice = 3 cups of apple juice

9 cups of grape juice = ? cups of apple juice

9-2=7 cups of grape juice

3+7=10 cups of apple juice

9 cups of grape juice = 10 cups of apple juice.

Answer:

yes,  point (4, 25) satisfies the equation y = 7x + –3

Step-by-step explanation:

to see if the point satisfies the equation, we need to plug in the x coordinate to get y

if y is equal to the y-coordinate, then the point satisfies the equation

if y does not equal the y-coordinate, then the point does not satisfy the equation:

y = 7(4) + - 3

y = 28 + -3

y = 25

does 25 = 25? Yes! so the point satisfied the equation

Answer:

yes

Step-by-step explanation:

7(x)- 3 = y

7(4) - 3 = (y)

28 - 3 = 25

Answer:

£1.92

Step-by-step explanation:

3.36/14 will give you the cost of each pencil

£0.24 is the cost of one pencil

8 pencils will cost you £1.92

Answer:

D. (7,-5) and (10,-1)

Step-by-step explanation:

Because 7 and 10 are on the Y and -5 and -1 is on the X

Answer:

12/7

Step-by-step explanation:

[tex]6=\frac{6}{1} \\\frac{6}{1}*\frac{2}{7}=\frac{12}{7}[/tex]

When you multiply fractions you multiply straight accross

Answer:

2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

simplify

m=2/5

Answer:

Step-by-step explanation:

Slope is m=(y2-y1)/(x2-x1)

m=(2-6)/(-6-4)

m=-4/-10

m=2/5