half a number decreased by three is equal to 38 less than four times the number

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

   = - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

   = - 3(x²

Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

500g:3,000g

So now they're the same units, but it isn't simplified. This last parts easy. To simplify a ratio, find the number you can divided both number with. In this situation, that number is 500. 500 divided by 500= 1, and 3,000 divided by 500= 6.

Final Simplified Ratio: 1g:6g

Hope this helped :)

Answer:

31 degrees

Step-by-step explanation:

Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees

Answer:

BC = 6.8

Step-by-step explanation:

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

Answer:

Answer is (2,1)

Step-by-step explanation:

The Midpoint formula is simply (x2+x1)/2, (y2+y1/2)

Just gotta plug in the points!

Hope this helps!

Answer:

Domain: (-5<x<-2) (1<x≤3]

Range: (-3<x<4) [-1≤x<2)

Step-by-step explanation:

(Explained another post by same asker)

(also this isnt interval notation, you would remove the <,≤, and x from it and keep the parenthesis and brackets were I put there were)

Answer:

Standard form:

3x − 24 = 0

Factorization:

3(x − 8) = 0

Solutions:

x = 24

3

= 8

Step-by-step explanation:

Hope this helps? :))

[tex]\large\tt Step-by-step~explanation:[/tex]

To solve for x, we have to isolate the variable.

[tex]\tt Step~1:[/tex]

First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.

[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]

[tex]\tt Step~2:[/tex]

Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.

[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]

[tex]\tt Step~3:[/tex]

Finally, we divide both sides by 3 to isolate x and get our answer.

[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]

[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]

Answer:

2/3

Step-by-step explanation:

Simplify the following:

(8/27)^(1/3)

Hint: | For all n>=0, (m/n)^(1/3) = (m^(1/3))/(n^(1/3)).

(8/27)^(1/3) = (8^(1/3))/(27^(1/3)):

(8^(1/3))/(27^(1/3))

Hint: | Simplify radicals.

27^(1/3) = (3^3)^(1/3) = 3:

(8^(1/3))/3

Hint: | Simplify radicals.

8^(1/3) = (2^3)^(1/3) = 2:

Answer: 2/3

Answer:

Step-by-step explanation:

√a^2 + b^2 =a+b

√ (a+b)^2 =a +b

The square root and the square cancel making

√a^2+b^2=a+b

Answer:

Step-by-step explanation:

the scientific notation of 91,007,500

9.10075 x 10^7

Answer:

11 and 12, closest to 11

Step-by-step explanation:

The square root of 130 falls between 11 and 12

Since 11 squared is 121 and 12 squared is 144.

130 is closer to 121, making it closer to 11 than to 12.

Hope this helps :)

Answer:

Step-by-step explanation:

g(f(x))

g(-x^2 - 1)

-x^2 + 0x + 4= -x^2 + 4

[tex]\frac{9}{4}[/tex]Answer:

[-17, -[tex]\frac{9}{4}[/tex]

graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4   THEN another closed circle on -17 shaded to the right so they meet in the middle        

Step-by-step explanation:

-x-5 greater than or equal to 3x+4

-x-5 ≤ 12

x ≤ -9/4

-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)

Answer:

Step-by-step explanation:

3(9x - 14/3x + 4 - 1 ≥ 2)

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6

13x ≥ -3

x ≥ -3/13

Answer:

x ≥ - [tex]\frac{3}{13}[/tex]

Step-by-step explanation:

Given

9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2

Multiply through by 3 to clear the fraction

27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6 ( subtract 9 from both sides )

13x ≥ - 3 ( divide both sides by 13 )

x ≥ - [tex]\frac{3}{13}[/tex]

Answer:

(350-8)/9

Step-by-step explanation:

If 8 students had to get on to a car then there would be the remainder of students on the buses. 342 students on 9 buses! Just Divide.

Answer: D

Step-by-step explanation:

To solve this problem, let's go through each pair to see if they are perpendicular lines.

A. Incorrect

These are parallel lines. We know this because they have the same slope and different y-intercept.

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B. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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C. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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D. Correct

These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.

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E. Incorrect

These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

Answer:

Quadrant 4

Step-by-step explanation:

We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2

which is located in the 4th quadrant

Answer: Quadrant 4

Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.

Answer:

-4.33333

Step-by-step explanation:

I searched it up on google but here you go

Answer:

So, the relationship with i hours as the indecent variables would be  

Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Step-by-step explanation:

Since we have given that

Area that she can paint = 60 square feet

Time taken = half hour = 30 minutes = 0.5 hours

Using "Unitary method, we get that

In 0.5 hours, she can paint = 60 square feet

In 1 hour, she can paint =  

In i hours, she can paint =  

Let the total area she can paint be 'y'.

So, the relationship with i hours as the indecent variables would be

Now,  Can Serena paint 400 square feet of wall space i. 3.5 hours

We put y = 400 and i = 3.5 hours to check whether it is equal or not.

Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Answer:

0.5

Step-by-step explanation:

Answer

14

you have to simplify

8+1/2(12)

14

Answer:

11beats / 1 second = 660 beats /1 minute

Answer:

Rs. 32.77

Step-by-step explanation:

----------

Finding cost price:

If cost = x:

SP at a loss of 17%: