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3 years ago

X(x+3)-x I keep getting x+3 but that’s not an option

Mathematics

2 answers:

Gennadij [26K]3 years ago

8 0

This is answer:
x(x+3)-x
or
1x(1x+3)-1x
1x+3x+-1x
=3x
First you multiply and then u would add the like terms.

aleksklad [387]3 years ago

6 0

Hey there!

Answer = $x^{2}+2x$

Explanation:

Let's simplify step-by-step.

x(x + 3) -x

Distribute:

= (x)(x) + (x)(3) + -x

= $x^{2}+3x+-x$

Combine Like Terms:

= $x^{2}+3x+-x$

= $(x^{2})+(3x+-x)$

= $x^{2}+2x$

So therefore, that is how you found your answer: $x^{2}+2x$

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If h(x) = 4x – 3 and p(x) = x2 – 3x, find p(-3) 18 0 -3

navik [9.2K]

Answer: p(-3)=18

Step-by-step explanation:

To find p(-3), you plug -3 into p(x) and solve.

p(-3)=(-3)²-3(-3) [exponent]

p(-3)=9-3(-3) [multiply]

p(-3)=9+9 [add]

p(-3)=18

Now we found that p(-3)=18.

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3 years ago

hat is the approximate distance between Portland, Oregon (45° north, 122° west), and San Francisco, California (37° north, 122°

juin [17]

Since both places are on the same longitude (122° west) and different lattitudes 45° north and 37° north, the distance between the two place lies on a great circle (along a line of longitude). Difference in latitudes = 45 - 37 = 8° (subtract the lattitudes because both sides are on the same side in the latitude i.e. both are north) The distance between two points along the line of longitude is given by theta / 360 x 2 x pi x R: where theta = 8° and R is the radius of the earth = 3,960 miles. d = 8 / 360 x 2 x pi x 3960 = 552.9 miles

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3 years ago

Which number is a rational number?

erik [133]

Answer:

Step-by-step explanation:

17.156 is the irrational number as it is terminating(means it ends)

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3 years ago

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in stan

OlgaM077 [116]

Answer:

y = 1/2x + 5

Step-by-step explanation:

Given :

Slope, m = 1/2

(x1, y1) = (6, 8)

y - y1 = m(x - x1)

y - 8 = 1/2(x - 6)

y - 8 = 1/2x - 3

y - 8 + 8 = 1/2x - 3 + 8

y = 1/2x + 5

Stamdard form of equation :

y = mx + c

Hence, equation is :

y = 1/2x + 5

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3 years ago

A local artist working at the town fair makes caricatures and portraits. The caricatures cost $4 to make white

il63 [147K]

Answer:

The artist should make 15 caricatures and 30 portraits.

Step-by-step explanation:

First, we identify the variables for the problem. In this case, the variables will be:

C=number of caricatures

P= number of portraits.

Next, we can use the variables to make the inequalities that constrain the problem.

We know the artist can't spend more than $360 for supplies and we also know that it costs $4 to make a caricature and $10 to make a portrait, so:

$4C+10P\le 360$

We also know the artist has a limit of time of 20 hours, which is the same as 20*60=1200 minutes to paint. We know it takes her 20 minutes to make a caricature and 30 minutes to make a portrait, so:

$20C+30P\le 1200$

and we also know she must make a positive number of caricatures and a positive number of portraits so the other two constrains are:

$C\ge 0$

$P\ge 0$

So we can go ahead and graph them. (see attached picture)

Once we graphed the inequalities we can determine what the corners of the polygon created by the intersection of the shaded areas are, so we proceed and calculate them:

first point:

(0,0)

second point:

4(0)+10P=360

$P=\frac{360}{10}$

P=36

(0,36)

Third point:

20C+30(0)=1200

$C=\frac{1200}{20}$

C=60

(60,0)

Fourth point:

$4C+10P = 360$

$20C+30P = 1200$

We multiply the first equation by -5 so we get:

-20C-50P=-1800

20C+30P=1200

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

-20P=-600

P=30

so:

20C+30(30)=1200

20C=1200-900

20C=300

C=15

(15,30)

Once we found the 4 points, we go ahead and evaluate them for the objective function. In this case, the objective function is the total amount of money she got from selling the pieces of art, so we get:

I=10C+20P

Point 1

I=10(0)+20(0)=0

Point 2

I=10(0)+20(36)=720

Point 3

I=10(60)+20(0)=600

Point 4

I=10(15)+20(30)=750

Next, we look for the greatest income which in this case will be 750 so that's why she must make 15 caricatures and 30 Portraits.

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3 years ago