When a number is multiplied by four and the
result is decreased by six, the final result is 10, what is this in a math problem???

The inequality for 2/3 I 4v + 6 I - 2 ≤ 10 is -6≤v≤3.

Given the inequality is 2/3 I 4v + 6 I - 2 ≤ 10

Isolate the variable by dividing each side by factors that don't contain the variable.

2/3 I 4v + 6 I  ≤ 10 +2

arrange the constants on the right side.

2/3 I4v + 6I ≤ 12

multiply the terms.

8v + 12/3 ≤ 12    or -8v - 12/3 ≤ 12

8v + 12 ≤ 36       or  -8v -12 ≤ 36

8v ≤ 36 -12         or  -8v ≤ 36 + 12

8v ≤ 24               or   -8v ≤ 48

v ≤ 24/8              or    v ≤ 48/8

v ≤ 3                   or    v≥-6

therefore, -6 ≤ v ≤ 3.

Hence the inequality is -6 ≤ v ≤ 3.

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The value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.

It is given that median home price is represented by P(t) = -5t² + 75t - 30.

We have to find out the values of P'(t) and P'(7).

What is differentiation ?

Differentiation is a method in which the function's rate of change compared to the rate of change of the independent variable is calculated.

As per the question ;

The equation given is ;

P(t) = -5t² + 75t - 30

So ;

Differentiating the above equation with respect to t , we get ;

[tex]\frac{d}{dt}[/tex] (P(t)) = [tex]\frac{d}{dt}[/tex] ( -5t² + 75t - 30 )

[tex]\frac{d}{dt}[/tex] (P(t)) = P'(t) = -5 × 2 × t + 75

⇒ P'(t) = -10t + 75

And

The value of P'(7) will be ;

P'( t = 7) = -10 × 7 + 75

P'(7) = - 70 + 75

P'(7) = 5

Also ;

P(11) = 190

P(3) = 150

And

The rate of change of price will be ;

[tex]\frac{P(11) - P(3)}{11 - 3}[/tex]

= 190 - 150 / 8

= 40 / 8

= 5

Thus , the value of P'(t) will be , P'(t) = -10t + 75 and value of P'(7) will be equal to 5 and rate of change of price will be $5 thousands per year in dollars.

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Answer:

x=0

Step-by-step explanation:

Answer: g=14

Step-by-step explanation:

5(g + 8) - 7 = 117 - g

5g+40-7=117-g

5g+33=117-g

6g+33=117

6g=84

g=14

[tex]5(g + 8) - 7 = 117 - g[/tex]

[tex]5g + 5 \cdot 8 -7 = 117 -g\\[/tex]

[tex]5g + 40 -7 = 117 -g[/tex]

[tex]6g = 117 - 40 + 7[/tex]

[tex]6g = 84[/tex]

[tex]g = 94 : 6[/tex]

[tex]g = 14[/tex]

This is given by the limit

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]

Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives

[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]

so that

[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]

(A)

Answer:

3:2

Step-by-step explanation:

Divide 15 and 10 by 5.

Answer: 14/24 or 7/12

Step-by-step explanation: keep on dividing 2 or just divide by 4

The slope of the line AC is equal to the slope of the line CE.

We have the points:

A = ( - 3 , 6 )

C = ( - 1 , 3 )

Slope of AC will be:

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )

m₁ = - 3 / 2

m₁ = - 1.5

Now,

C = ( - 1 , 3 )

E = (3 , - 3)

Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )

m₂ = - 6 / 4

m₂ = - 3 / 2

m₂ = - 1.5

So, we get that:

m₁ = m₂  

Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.

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Answer:

You only show one answer A. Lucky for you it's the correct one.

Step-by-step explanation:

Answer:

∠C = 180 - 3α

Step-by-step explanation:

The interior angles of a triangle always add up to 180°

So A + B + C = 180

C = 180 - (A + B)

= 180 - (α + 2α)

= 180 - 3α

Answer:wow we have the same homework

Step-by-step explanation:

Answer:

length = 99 yards

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2(l + w) ← l is the length and w the width

given  P = 356 and w = 79 , then

356 = 2(l + 79) ← divide both sides by 2

178 = l + 79 ( subtract 79 from both sides )

99 = l

the length of the field is 99 yards

Answer:

odd

Step-by-step explanation:

the answer is odd, my dead grandma just finished this question since she failed 7th grade.

$829.08

Step-by-step explanation:

43,112 ÷ 52 = 829.08

Answer:

A

Step-by-step explanation:

1 Factor out the common term ss.

\frac{s(25{s}^{2}+12)}{5s}

5s

s(25s

2

+12)

​

2 Cancel s.

\frac{25{s}^{2}+12}{5}

5

25s

2

+12

​

LCM can help us to compare the two of the given fractions. The correct option is A, -(3/4) < -(5/16).

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Bring both the terms to the same denominator for easy comparison. Now, since the LCM of 4 and 16 is 16. Therefore, we can write the two of the fractions as,

-(3/4) = -(3×4)/(4×4) = -12/16

-(5/16) = -5/16

Further, we can write the comparison of the two fractions as,

-12/16 < -5/16

-(3/4) < -(5/16)

Hence, the correct option is A, -(3/4) < -(5/16).

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Answer:

The answer is D

Answer:

No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29

Answer: 4289

Step-by-step explanation:

Total = 2400+(2400-511) = 4289

Answer:

X= 2/3

Step-by-step explanation:

-2(x+1/3)+9x=4

Distribute: -2x-2/3+9x=4

Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3

Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1

Divide: X=2/3 ------ 14/21÷ 7/7=2/3

X=2/3           Hope This Helps :)

Answer:

[tex] \sf \large \: x = \frac{2}{3} [/tex]

Step-by-step explanation:

−2(x+1/3)+9x=4

Step 1: Simplify both sides of the equation.

−2(x+1/3)+9x=4

(−2)(x)+(−2)(1/3)+9x=4(Distribute)

−2x+−2/3+9x=4

(−2x+9x)+(−2/3)=4(Combine Like Terms)

7x+−2/3=4

7x+−2/3=4

Step 2: Add 2/3 to both sides.

7x+−2/3+2/3=4+2/3

7x=14/3

Step 3: Divide both sides by 7.

7x/7 = 14/3/7

x=2/3

Answer:

1/2

Step-by-step explanation: because it is shaded or not

Answer:

12

Step-by-step explanation:

There are 4 entrances and 3 exits, and thus 4(3)=12.

Answer:

25 spells

Step-by-step explanation:

each colored box is 5 spells so count by five to see how many spells Ginny casts

The number of spells is 25, that the spells Ginny casts.

Here, we have,

from the given information we get,

we have to find that number spells that the spells Ginny casts.

we have,

the tape diagram gives that,

the ratio of luna and ginny is:=>  4 : 5

so, let , Ginny casts = 5x spells

luna casts = 4x spells

now, we have,

ATQ, 4x+5x = 45

=> 9x= 45

=> x = 45/9

=> x = 5

so, we get,

Ginny casts = 5*5 spells

                    = 25 spells

Hence, The number of spells is 25, that the spells Ginny casts.

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Answer:

1885.714

Step-by-step explanation:

I = ptr

5280 = 7×0.4×p

p = 5280/2.8

p = 1885.7

Answer:

Step-by-step explanation:

The absolute value of -3 is 3.

Answer: 3

Step-by-step explanation:

The number of cashews in the can are 52.

Here, we are given that the ratio of walnuts to peanuts in a can of mixed nuts is 3 to 5.

⇒ walnuts : peanuts = 3 : 5

The number of walnuts in the packet are = 18

⇒ 18 : peanuts = 3 : 5

18/ peanuts = 3/5

peanuts = (5/3) × 18

peanuts = 30

Now, we know that the total number of nuts = 100

⇒ cashews + walnuts + peanuts = 100

cashews + 18 + 30 = 100

cashews + 48 = 100

cashews = 100 - 48

cashews = 52

Thus, the number of cashews in the can are 52.

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