Jonathan’s class has 30 boys. Of the students in his class, 60% are girls.How many girls are in Jonathan’s class?

Answer:

Equation A is factoring, x=9 and x=0

Equation B is the square root, x=3

The equation A:  x² - 9 = 0 can be solved by square root method

The equation B: x²  -  9x = 0 can only be solved by factoring

The given equations are:

Equation A:    x²  -  9x = 0

Equation B:    x²  -  9 = 0

The equation x² - 9 can be rewritten as:

x²  -  3² = 0

This is a difference of two squares which can be further expressed as:

(x  -  3)(x + 3) = 0

x  - 3  =  0

x  =  3

x  +  3  = 0

x  =  -3

This shows that the equation x² - 9 = 0 has two roots x = -3 and x = 3

Also, from x² - 9 = 0

[tex]x = \pm\sqrt{9} \\\\x = \pm3[/tex]

For the equation x²  -  9x = 0

This can be factored as x(x - 9) = 0

x  = 0,  x = 9

This is not solved by the square root method.

Therefore, the equation x² - 9 = 0 can be solved by square root method

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Answer:

no

Step-by-step explanation:

Answer:

you are correct!!

Step-by-step explanation:

Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

Answer:

A. i and ii

Step-by-step explanation:

i) 15 - x = -3

x=18

ii) x/2 + 6 = 15

x/2 = 9

x= 18

iii) -1/3x -5.7 = 0.3

-1/3x = 6

x = -18

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

Answer:

y = 10x^2 + x +21

Step-by-step explanation:

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Answer:

[tex]t=\frac{y+2n}{r}[/tex]

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

rt - 2n = y

Step 2: Solve for t

Answer:

a.

Step-by-step explanation:

(2, 10) and (4, 10) have the same y value so it's not a function etc. etc.

Answer:

D. The relation represents y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

As long as no one x-value has two solutions, it can be considered a function. The x-values are {0, 2, 4, 6, 8}. Since there isn't any repetition, this can be considered as a function. The fact that 10 is repeated in the y-values doesn't affect that it is a function.

Answer:

[tex]g\leq \frac{11}{17}[/tex]

Step-by-step explanation:

[tex]-5-3(5g-4)\geq 2g+6-10\\-5+(-15g+12)\geq 2g-4\\-5+(-15g)+12\geq 2g-4\\7-15g\geq 2g-4\\7\geq 17g-4\\3\geq 17g\\\frac{11}{17} \geq g\\g\leq \frac{11}{17}[/tex]

The value of g in the given inequality -5-3(5g-4) ≥ 2g+6-10 is equal to or less than 11/17, g ≤ 11 / 17

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality -5-3(5g-4) ≥ 2g+6-10

Solving for g,

-5-3(5g-4) ≥ 2g+6-10

-5-15g+12 ≥ 2g+6-10

-15g+7 ≥ 2g-4

7 ≥  17g -4

11  ≥ 17g

11 / 17  ≥ g

g ≤ 11 / 17

Hence, the value of g is equal to or less than 11/17, g ≤ 11 / 17

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Answer:

x=14 y=37

Step-by-step explanation:

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

Answer:

396237 / Estimation would be 396000 I believe.

Step-by-step explanation

Answer:

396000

Step-by-step explanation:

Answer:

this formula is right

Answer:

Step-by-step explanation: f1 =7

f2 = 5(7) + 2 = 37

f3 = 5(37) + 2 = 27

f4 = 5(9) + 2 = 47____

The value of f(4)f(4) f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2 is,

121.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, f(1) = 7f(1) = 7 and f(n) = f(n-1) + 2f(n) = f(n−1) + 2.

By this pattern,

f(4)f(4) = [f(4 - 1) + 2f(4)][f(4 - 1) + 2f(4)].

f(4)f(4) =  [f(3) + 2f(4)][f(3) + 2f(4)].

f(4)f(4) =  [f(3) + 2(4)][f(3) + 2(4)].

f(4)f(4) =  [3 + 8][3 + 8].

f(4)f(4) =  [11][11].

f(4)f(4) =  121.

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A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:

Please find the attached file of the graph.

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Answer:

The answer is Titan

Step-by-step explanation: the atmosphere of Titan is similar to earth's atmosphere because Titan's atmosphere is mostly made up of nitrogen and so is Earth's atmosphere.

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

Answer:

C.12

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

Answer: I need to see the picture of the work first to tell u

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

Answer:

-15 < 20

Step-by-step explanation:

5(w - 3) < 5w + 20

Distribute;

5w - 15 < 5w + 20

Subtract 5w from both sides;

-15 < 20

Answer:

w<5

Step-by-step explanation:

(5*w-3*5)<5w+20

5w-15<5w+20

5w-5w<20-15

w<5

Answer:

m<6=54 m<4=126

Step-by-step explanation:

Answer:

22w + 115 = 325           w = about 10 weeks

Step-by-step explanation:

The first part of this inequaltiy is 22w. Since he/she will set aside $22 a week, you would put a variable because the number of weeks you will need to set aside $22 is unknown therefore you put a variable that makes sense. I put w because you can say that w=weeks. The next part of the inequality is adding $115 because he/she has already saved $115 so we add that to 22w. Finally 22w+115 has to equal $325 because that is how much the necklace costs. Hope this helps!

Answer:

4/18

Step-by-step explanation:

Answer:

(-1, 0)

Step-by-step explanation: