2 years ago

What is an expression for the sale price of a shirt that is sold at 40% off the original price p?

Mathematics

1 answer:

sertanlavr [38]2 years ago

3 0

Answer:

$35

Step-by-step explanation:

If $21 is 60% of the original price, then the original price is ...

21 = 0.60p

21/0.60 = p = 35

The original price is $35.00.

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Mr. Gordon has 13 girls and 14 boys in his fourth period algebra class. One person is chosen at random.

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Step-by-step explanation:

It's E because you have to add 13 and 14 and as you can see there's 14 boys so it's E.

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Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour.

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What % more than 80 is more than 104

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3 years ago

One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). Describe how to find the x-intercepts and the y-intercept of t

kozerog [31]

Answer:

x-intercepts: (1,0), (2,0), (5,0)

y-intercepts: (0,-10)

Step-by-step explanation:

One factor of the function $f(x) = x^3-8x^2 + 17x-10$ is $(x-5).$

Factor the polynomial in the following way:

$x^3-8x^2 + 17x-10\\ \\=x^3-5x^2-3x^2+15x+2x-10\\ \\=x^2(x-5)-3x(x-5)+2(x-5)\\ \\=(x-5)(x^2-3x+2)$

Now factor the quadratic in brackets:

$x^2-3x+2\\ \\=x^2-2x-x+2\\ \\=x(x-2)-(x-2)\\ \\=(x-2)(x-1)$

Hence,

$f(x)=(x-5)(x-2)(x-1)$

The x-intercepts are points at which y = 0, so

$(x-5)(x-2)(x-1)=0\\ \\x-5=0\ \text{or}\ x-2=0\ \text{or}\ x-1=0\\ \\x=5\ \text{or}\ x=2\ \text{or}\ x=1$

The y-intercepts are points at which x = 0, so

$y=0^3-8\cdot 0^2+17\cdot 0-10=-10$

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2 years ago

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