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ivolga24 [154]
3 years ago
12

Ethan picked p peaches. Gina picked 3 times as many peaches as Ethan. Write an expression that shows how many peaches Gina picke

d.
Type an asterisk ( * ) if you want to use a multiplication sign and a slash ( / ) if you want to use a division sign.
Mathematics
2 answers:
zysi [14]3 years ago
6 0
3*p using p to represent the peaches Ethan picked
sashaice [31]3 years ago
4 0
Gina picked 3 * p or 3p
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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?
Alja [10]

Using the factor theorem, it is found that the polynomial is:

f(x) = x^3 - 2x^2 - 3x + 6

Given by the first option

---------------------------

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} using the factor theorem it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

---------------------------

In this question:

  • x_1 = 2
  • x_2 = \sqrt{3}
  • x_3 = -\sqrt{3}
  • By the options, leading coefficient a = 1

Thus:

f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})

f(x) = (x - 2)(x^2 - 3)

f(x) = x^3 -2x^2 - 3x + 6

Which is the polynomial.

A similar problem is given that: brainly.com/question/4786502

5 0
2 years ago
Ezra made cookies for a bake sale. He made 13 cookies in the shape of a dog and 54 cookies in other shapes. What is the probabil
Radda [10]

Answer:

Approximately 19.4%

Step-by-step explanation:

Co. Dogs: 13

Co. Others: 54

13+54=Total Co.

=67.

Co. Dogs: 13/67.

App. 19.4% (For 13 Co.)

App. 1.49% (For 1 Co.)

4 0
3 years ago
Write (8a-^3) -2/3 in simplest form
Anna71 [15]

(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

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

<em><u>Given that,</u></em>

(8a^{-3})^{\frac{-2}{3}

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

(a^m)^n = a^{mn}

Using this, simplify the given expression

(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

Thus the given expression is simplified

8 0
3 years ago
What is the value for y?<br> Enter your answer in the box.
lapo4ka [179]

Answer:

y = 14

Step-by-step explanation:

The sum of the angles in a triangle add to 180 degrees

50 + 2x+ 5y + 10 = 180

We know that 2x = 50 since they are the base angles of sides that have the same length, they must be the same

50 + 50 + 5y+10 =180

Combine like terms

110 + 5y =180

Subtract 110 from each side

110+5y-110 = 180-110

5y = 70

Divide each side by 5

5y/5 =70/5

y = 14

6 0
2 years ago
Read 2 more answers
The length of the base of a rectangular prism is 9
Tatiana [17]

Answer:

The volume of the prism is <u>320 15/16 inches³</u>.

Step-by-step explanation:

Given:

The length of the base of a rectangular prism is 9 7/8.

The width of the prism is 8 1/8.

And the height is 4 inches.

Now, to find the volume of the prism.

(Length) <em> l = 9 7/8 = 79/8 inches.</em>

(Width)  <em> w = 8 1/8 = 65/8 inches</em>.

(Height)  <em>h = 4 inches</em>.

So, by putting the formula to get the volume:

Volume = w×h×l.

Volume=\frac{65}{8}\times 4\times \frac{79}{8}

Volume=320\frac{15}{16}

<em>Volume = 320 15/16 inches³.</em>

Therefore, the volume of the prism is 320 15/16 inches³.

7 0
3 years ago
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