3 years ago

I'm having trouble solving this, if anyone could help I'd be most appreciated.

Mathematics

1 answer:

STALIN [3.7K]3 years ago

5 0

You can check that
f(1)=0
f(-3)=0
f(-5)=0

thus:
$x^3+7x^2+7x-15=\boxed{(x-1)(x+3)(x+5)}$

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2) Write an equation that passes through the point (-2,5) and is parallel to y ==x+1.

Marta_Voda [28]

Answer:

y = x + 7

Step-by-step explanation:

5 = -2 + b

7 = b

y = x + 7

* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so 1 remains the way it is.

I am joyous to assist you anytime.

4 0

3 years ago

What is the sum of 8.4*10^8 and 4.2*10^7 written in scientific notation?

anyanavicka [17]

(8.4*10^8) + (4.2*10^7)

= 882,000,000
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3 years ago

Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

6 0

3 years ago

A biology class has a total of 25 students. The number of females is 15 less than the number of males. How many males and how ma

meriva

Answer:

10 males

Step-by-step explanation:

because 15 + 10 is 25 so the answer is 10 males and 15 females

5 0

3 years ago

Read 2 more answers

Juli went mining and found a large metal bar that weighed 20 kilos. After doing some analysis of the

masha68 [24]

Answer:

8 kilos of it is gold, since 2/5 in decimal form is 0.40

12 kilos of it is copper.

Step-by-step explanation:

Multiply 20 times 0.40, you get 8, so 8 kilos of it is gold, while 12 kilos is copper.

T^T

8 0

3 years ago