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3 years ago

What is the solution set to the equation 15-4x=x^2-6x?

Mathematics

1 answer:

PIT_PIT [208]3 years ago

3 0

Answer:

x = 5 and x = -3

Step-by-step explanation:

15 - 4x = x² - 6x

15 = x² - 2x

0 = x² - 2x - 15

Now if solved using quadratic formula the answer would be:

x = 5 and x = -3

Hope this helps!

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3 years ago

If Heidi is hired by company A, she would be paid $14.60 an hour. If she is hired by company B, she would be paid $16.60 an hour

Alinara [238K]

If Heidi only gets paid when she is talking to clients, she will be working

... 9 × (40 min/60 (min/h)) = 6 h

per day.

Her $2.00 difference in pay per hour will result in a difference in pay per day of

... $2.00/h × 6 h/day = $12/day

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4 years ago

A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles.

vladimir2022 [97]

Answer: Probability that 3 are consonants and 2 are vowels is 0.3996.

Step-by-step explanation:

Since we have given that

Number of unique consonant tiles = 10

Number of unique vowel tiles = 5

Total number of tiles = 10+5=15

we need to pick 5 tiles randomly,

So, Probability that 3 are consonants and 2 are vowels is given by

$\frac{^{10}C_3\times ^5C_2}{^{15}C_5}\\\\=\frac{\frac{10\times 9\times 8}{3\times 2\times 1}\times \frac{5\times 4}{2\times 1}}{\frac{15\times 14\times 13\times 12\times 11}{5\times 4\times 4\times 3\times 2\times 1}}\\\\=0.3996$

Hence, Probability that 3 are consonants and 2 are vowels is 0.3996.

7 0

4 years ago

Read 2 more answers

Please help math question

Lorico [155]

Step-by-step explanation:

3 0

3 years ago

A caterer charges $120 to cater a party for 15 people and $200 for 25 people.

Jlenok [28]

The equation in slope-intercept form for this function is y = 8 x

The slope represents the unit cost

A party for 40 people would cost $320

Step-by-step explanation:

The linear equation in the form of slope-intercept is:

y = mx + b, where m is the slope of the line and b is the y-intercept

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line
To find b substitute x and y of the equation by the coordinates of any point on the line

A caterer charges $120 to cater a party for 15 people and $200 for

25 people.

Assume that the cost, y, is a linear function of the number of people x

We need to write an equation in slope-intercept form for this function

We need to explain that the slope represent what

We need to find how much a party for 40 people would cost

∵ The slope-intercept form of the equation is y = mx + c

∵ y is the cost and x is the number of people

∴ x = 15 and y = 120 is a point on the line

∴ x = 25 and y = 200 is another point on the line

- Now we can use them to find the slope of the line

∵ $m=\frac{200-120}{25-15}=\frac{80}{10}$

∴ m = 8

∴ y = 8 x + b

- To find b substitute x by 15 and y by 120 in the equation

∴ 120 = 8(15) + b

∴ 120 = 120 + b

- Subtract 120 from both sides

∴ b = 0

∴ y = 8 x

The equation in slope-intercept form for this function is y = 8 x

∵ The slope = change of y ÷ change of x

∴ The slope = cost ÷ number of people

∴ The slope represents the cost per person

The slope represents the unit cost

∵ There are 40 people

∴ x = 40

∵ The equation of the cost is y = 8 x

∴ y = 8 × 40

∴ y = 320

∴ The cost is $320

A party for 40 people would cost $320

Learn more:

You can learn more about the linear function in brainly.com/question/4152194

#LearnwithBrainly

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3 years ago