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exis [7]
3 years ago
8

Simplify the expression 5+4•(8-6)^2 Please show steps.

Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0
P- parenthesis

( 8 - 6 ) = 2

E- exponents

2^2 = 2 × 2 = 4

M- multiplication / division

4 × 4 = 16

D- division

N/A

A- addition / subtraction

5 + 16 = 21

S- subtraction

N/A

~~

Answer : 21




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The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff
jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

  x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

  x - y ≤ 10 . . . . the difference in acreage will not exceed 10

  12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

  0 ≤ y . . . . . the number of corn acres is non-negative

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B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

  P = 360x +225y

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C) see below for a graph

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D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.

7 0
3 years ago
Find the x-intercepts of the parabola with vertex (1,1) and y-intercept (0,-3). Write your answer in this form (x of 1 , y of 1)
Vikki [24]
Remember that the vertex form of a parabola or quadratic equation is:

y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola  (and a is half the acceleration of the of the function, but that is maybe too much :P)

In this case we are given that the vertex is (1,1) so we have:

y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:

-3=a(0-1)^2+1

-3=a+1

-4=a so our complete equation in vertex form is:

y=-4(x-1)^2+1

Now you wish to know where the x-intercepts are.  x-intercepts are when the graph touches the x-axis, ie, when y=0 so

0=-4(x-1)^2+1  add 4(x-1)^2 to both sides

4(x-1)^2=1  divide both sides by 4

(x-1)^2=1/4  take the square root of both sides

x-1=±√(1/4)  which is equal to

x-1=±1/2  add 1 to both sides

x=1±1/2

So x=0.5 and 1.5, thus the x-intercept points are:

(0.5, 0) and (1.5, 0)  or if you like fractions:

(1/2, 0) and (3/2, 0) :P
4 0
3 years ago
The model represents x2 – 9x + 14.
Stels [109]

Factorize the quadratic trinomial x^2 - 9x + 14 by the rule:

ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }

1. Find the roots:

D=(-9)^2-4\cdot 14=81-56=25,\ \sqrt{D}=5,\\ \\ x_1=\dfrac{9-5}{2}=2,\ x_2=\dfrac{9+5}{2}=7.

2. Factorize the polynomial:

x^2 - 9x + 14=(x-2)(x-7).

3. Only factor x-2 is given in options, then the correct choice is B.

6 0
2 years ago
Read 2 more answers
Need help on the attached question
katen-ka-za [31]

Answer:

f(8) = 4.92`

Step-by-step explanation:

4 0
3 years ago
Factor. Explain.<br> 24x³y²-4x²y+84x^4
Elan Coil [88]

Answer:

\boxed{\bold{4x^2\left(6xy^2-y+21x^2\right)}}

Step By Step Explanation:

Apply Exponent Rule \bold{\:a^{b+c}=a^ba^c}

\bold{x^4=x^2x^2,\:x^3y^2=x^2x}

\bold{24x^2x-4x^2y+84x^2x^2}

Rewrite 84: \bold{21\cdot \:4}

Rewrite 24: \bold{6\cdot \:4}

\bold{6\cdot \:4x^2x-4x^2y+21\cdot \:4x^2x^2}

Factor Out Common Term \bold{4x^2}

\bold{4x^2\left(6xy^2-y+21x^2\right)}

➤ \boxed{\bold{Mordancy}}

6 0
2 years ago
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