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3 years ago

Some steps to rewrite the expression x3 − 4x + x2 − 4 as a product of three factors are shown below:

Mathematics

2 answers:

Ann [662]3 years ago

4 0

Its the first on A 100% positive i just did this and got it right hope i helped!<span />

nalin [4]3 years ago

3 0

I know step 5 is (x-2)(x+2)(x+1)
But I don't know what step 4 is.
Im stuck.

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo

LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds $b$ , and the amount invested in CD $d$ , then we have:

$b+d=50,000$ this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds $b$ is $5,000 more than twice the amount Daniela put into the CD, we have:

$b=5,000+2d$ .

Thus, we have two equations and two unknowns $b$ and $d$ :

(1). $b+d=50,000$

(2). $b=5,000+2d$ ,

and we solve this system by substituting $b$ from the second equation into the first:

$b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}$

or, the amount invested in CD is $15,000.

With the value of $d$ in hand, we now solve for $b$ from equation(2):

$b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}$

or, the amount invested in bonds is $35,000.

4 0

3 years ago

Read 2 more answers

WHAT IS THE VOLUME OF THE PORTION OF THE AQUARIUM WITH WATER IN IT?

tensa zangetsu [6.8K]

The answer would be 32,200 50*28*23

6 0

3 years ago

Calculate the area of triangle ABC with altitude CD, given A (6,0) B(1,5) C (2,0) and D (4,2)

Elina [12.6K]

So hmm check the picture below

the height or altitude is CD
and the base is AB

how long are those? well $\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ 6}}\quad ,&{{ 0}})\quad 
% (c,d)
B&({{ 1}}\quad ,&{{ 5}})\\\\
C&({{ 2}}\quad ,&{{ 0}})\quad 
% (c,d)
D&({{ 4}}\quad ,&{{ 2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
AB=\sqrt{(1-6)^2+(5-0)^2}\qquad \qquad CD=\sqrt{(4-2)^2+(2-0)^2}$

7 0

3 years ago

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Adult tickets for the school play are $12.00 and children's tickets are $8.00. If a theatre holds 300 seats and the sold out per

Vaselesa [24]

Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.

Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.

Using the substitution method:

x + y = 300   ⇒   y = 300 - x   ⇒   Equation (3)

12x + 8y = 3280   ⇒   12x + 8(300-x) = 3280   ⇒   x = 220

y = 300 - x   ⇒   y = 300-220 ⇒ 80

Therefore 220 adult tickets and 80 children's tickets were sold.

6 0

3 years ago

If....................

kobusy [5.1K]

Answer:

C - 22

Step-by-step explanation:

Put in '3 ' for 'x' in both of the equations....then multiply the results together

f(3) = 3 (3)^2 - 5 = 22

g(3) = -1

22 * -1 = -22

5 0

1 year ago

Read 2 more answers