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aliya0001 [1]
2 years ago
12

A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is

StartFraction 15 x over 4 EndFraction minus 9, where x represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row?
Mathematics
2 answers:
Alenkasestr [34]2 years ago
8 0

Answer:

The answer is 69 on Edgenui

docker41 [41]2 years ago
5 0

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

y=\frac{15x}{4}-9\\\\

Given that x is the number of spots in the first row.

-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

y=\frac{15x}{4}-9,\ \ x=32\\\\=\frac{15\times 32}{4}-9\\\\=120-9\\\\=111

Hence, there are 111 spots in the parking lot.

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What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?
Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.


The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.


\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}


In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.


\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}

\frac{3 +/- \sqrt{9 + 160}}{-4}

\frac{3 +/- 13}}{4}


Now you separate and get the two separate answers. First the positive.


\frac{3 + 13}}{4}

\frac{16}}{4}

4


Now the negative


\frac{3 - 13}}{4}

\frac{-10}}{4}

-2.5

5 0
2 years ago
Read 2 more answers
Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?
Debora [2.8K]

Option A

2x^2(6x-1) + 3(6x-1) is one way to determine the factors of 12x^3-2x^2+18x-3 by grouping

<em><u>Solution:</u></em>

Factoring by grouping means that you will group terms with common factors before factoring

<em><u>Given expression is:</u></em>

12x^3-2x^2+18x-3

Group the first two terms together and then the last two terms together.

(12x^3-2x^2)+(18x-3)

We can see that 2x^2 is common in first two terms

And 3 is common in last two terms

Factor them out

(12x^3-2x^2)+(18x-3) = 2x^2(6x-1) + 3(6x-1)

2x^2(6x-1) + 3(6x-1)

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6 0
2 years ago
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phan fills the tank of her car with gasoline before starting her road trip. the table below shows the amount of gas left in her
liq [111]
G(h)    h
12      3
8        5
4        7
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Equation of the line:

slope = [12-0]/[3-9] = 12 / -6 = -2

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g = -2(h-9)

g = -2h + 18

g = 18 -2h

Filling the tank ==> h = 0

g = 18 - 2(0) = 18

Answer: first option g = 18 -2 h; 18
8 0
2 years ago
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lorasvet [3.4K]

Answer:

A. 180

Step-by-step explanation:

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2 years ago
Grogg typed the following $1000$ expressions into his calculator, one by one: \[\sqrt{1}, \sqrt{2}, \sqrt{3}, \sqrt{4}, \dots, \
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Answer:

pano po yan hinde ko po alam

Step-by-step explanation:

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