Solve for b
32 = 12 + 5/6b

Answer:

i. 15.4

ii.45.2

Step-by-step explanation:

correct me if im wrong

tnx

Answer:

-5/3

Step-by-step explanation:

Did this before

Answer:

3 + 21 = 24 and they are the product to the factors of 63

Step-by-step explanation:

Answer: The rate of change decreased.

Step-by-step explanation:

Question 16:

[tex]\alpha[/tex] and [tex]\beta[/tex] are the roots of the equation.

That means [tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0\\[/tex]

[tex](x-\alpha )(x-\beta ) = 2x^{2} -6x+5 = 0[/tex]

          [tex]2x^{2} -6x+5 = 0\\x^{2} -3x+\frac{5}{2} =0[/tex]

          [tex](x-\alpha )(x-\beta ) =x^{2} - (\alpha +\beta )x +\alpha \beta[/tex]

So,

[tex]x^{2} - (\alpha +\beta )x +\alpha \beta = x^{2} -3x+\frac{5}{2}[/tex]

Compare coefficient

[tex]\alpha +\beta = 3\\\alpha \beta = \frac{5}{2}[/tex]

Consider [tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta }[/tex]

[tex]\frac{\beta }{\alpha } + \frac{\alpha }{\beta } =\frac{ \alpha ^{2} +\beta ^{2}}{\alpha \beta }[/tex]

[tex]= \frac{(\alpha +\beta )^{2} -2\alpha \beta }{\alpha \beta } \\= \frac{3^{2} -2*\frac{5}{2} }{\frac{5}{2} } \\= 4*\frac{2}{5} \\=\frac{8}{5}[/tex]

Ans: 8/5

Question 19:

[tex]f(x+2) = 2x^{2} +5x-3\\[/tex]

Substitute x with -1

So,

[tex]f(1) = 2(-1)^{2} +5(-1)-3\\=2-5-3\\=-6[/tex]

Ans: -6

Answer:

95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern

95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given sequence of numbers is,

1, 5, 9, 13, 17, .....

The first term of the given sequence a₁ =1,

From the given sequence, the common difference pair of two consecutive terms d = 4,

Let nth term of the sequence aₙ= 95,

By arithmetic sequence formula,

aₙ = a₁ + (n-1).d

Substitute the value of aₙ and d,

95 = 1 + (n-1).4

94 = (n-1). 4

(n-1) = 23.5

n = 24.5

The value of n can't be decimal, so 95 can't be a term of the given sequence.

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Answer:

80 in2

Step-by-step explanation:

Here is my work shown in screeny

Step-by-step explanation:

3(7x-9)-19x = -15

21x-27-19x = -15

2x-27 = -15

2x = -15+27

2x = 12

x = 6

prove x = 6

Substitute x=6 into the equation.

3(7(6)-9)-19(6) = -15

3(42-9)-114 = -15

3(33)-114 = -15

99-114 = -15

-15 = -15 True✓

Answer:

2

Step-by-step explanation:

From what I understand from the question,

you're looking for the difference between f(x) and f(x+4)

lets take the points f(-3) and f(1)

the difference is 0.5 - -1.5=2

The probability that a randomly selected girl does not have brown hair is 34.54%.

Given that in a certain school, 45% of the students are boys, and 80% of the boys have brown hair while 50% of those with brown hair are girls, to determine what is the probability that a randomly selected girl does NOT have brown hair, the following calculation must be performed:

Therefore, the probability that a randomly selected girl does not have brown hair is 34.54%.

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Answer:

5 pints is needed

Step-by-step explanation:

2 pints of white paint for pink

1 pint of red for pink

10 pints of white paint = 5 pints of red

The expression for the total number of fish and plants in all the sets is 24x + 18y.

The given parameters:

Let the total number of fish and plants = T

Let the total number of fish in all the sets = 24x

Let the total number of plants in all the sets = 18y

The expression for the total number of fish and plants in all the sets is calculated as follows;

T = 24x + 18y

Thus, the expression for the total number of fish and plants in all the sets is 24x + 18y.

The complete question is below:

Insert images of the plant and the fish in the space provided to arrange the 24 fish and the 18 plants into sets so that each set has the same number of fish and the same number of plants and none are left over. (In each set, the number of plants does not have to be equal to the number of fish.) Write an expression for the total number of fish and plants in each set

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Answer:

not proportional

Step-by-step explanation:

because if you multiply 480×40=19200 and 300×25=7500

it is not the same

The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.

The earnings of Sal in each hour will be given as,

⇒ $480 / 40

⇒ $12 each hour

The earnings of Lidia in each hour will be given as,

⇒ $300/ 25

⇒ $12 each hour

The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.

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The value of the variable 'y' will be square root 21 that is √21.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The ratio of the corresponding sides of a similar triangle remains constant. Then the equation is given as,

y / 3 = 7 / y

Simplify the equation, then we have

y / 3 = 7 / y

y² = 21

y  = √21

The value of the variable 'y' will be square root 21 that is √21.

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4.475 or 4 19/40 gallons

How?

12.65=253/20

253/20= 12 13/20

////////

I need a similar denominator of 12 13/20 and 17 1/8.

12 13/20×2/1= 12 26/40

17 1/8×5= 17 5/40

17 5/40-12 26/40= 4 19/40

Therefore,

the answer is 4 18/40 gals

Answer:

4 19/20                      

Step-by-step explanation:

17 1/8 - 12 13/20 = 4 19/20

Answer:

-3e/2

Step-by-step explanation:

The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.

length = 11.125 in

width = 7.625 in

Range of value must be less than orequal to 0.005 in

let

l = Length

w = width

Length inequality:

l - 11.125 ≤ 0.005

write as a compound inequality

- 0.005 ≤ l - 11.125 ≤ 0.005

Width inequality:

w - 7.625 ≤ 0.005

write as a compound inequality

- 0.005 ≤ w - 7.625 ≤ 0.005

Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.

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Answer:

25

Step-by-step explanation:

20^2 + 15^ = c^2

400 + 225 = c^2

625 = c^2

25 = c

Answer: The length of the ladder is 25 feet.

Answer:

Step-by-step explanation:

the associative property means that when you are adding OR multiplying you can group the numbers however you want

Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167

Answer:

The test  has 10 3-point questions and 14 5-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

From the first equation:

3x + 3y = 72

Subtracting:

3x - 3x + 5y - 3y = 100 -72

2y = 28

so y = 14

x + 14 = 24 so x = 10.

10*3 + 5*14

= 30 + 70 = 100 points.

Answer:

the answer is A

Step-by-step explanation:

1. y=3x^2-2x-2

0=3x^×-2x-2

2. 3x^2-2x-2=0

[tex] -( - 2) \frac{ + }{ - } \sqrt{( - 2) {}^{2} } - 4 \times 3 - 2 \2 \times 3[/tex]

3.

[tex]2 \frac{ + }{ - } \sqrt{4 + 24} \div 6 \\ \\ 2 \frac{ + }{ - } \sqrt{28} \div 6[/tex]

4.

[tex]2 \frac{ + }{} \frac{2 \sqrt{7} }{6} [/tex]

5.

[tex]1 \frac{ + }{ - } \frac{1 \sqrt{7} }{ 3} [/tex]

Answer:

i don't know sorry

Answer:

(m×1/3)-6=y

Step-by-step explanation:

Answer:

yw

Step-by-step explanation:

Answer:

Well, we need to know how many apples Joe was robbed of before we can finish the problem.

Answer: Should be a line

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

6×3/6 (the / means ÷)

(6×3) ÷6

18 ÷6

=3

this will be the answer

1: x=-4 or x=-3 and the second can be shown clearly

Answer:

1468 in

Step-by-step explanation:

1) Find volume of entire figure

10*10*15=1500

2) Find volume of small piece that is cut out

2*4*4=32

3) Subtract smaller number from bigger number

1500-32=1468

Answer:

1,468 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume = length * base * height

Volume = 10 * 10 *15

10 * 10 *15 = 1500

To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.

4 * 4 * 2 =32

1500-32 = 1468 in^3