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Vinil7 [7]
3 years ago
15

Use the grouping method to factor x^3+x^2+3x+3

Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

(x^2 + 3)(x + 1).

Step-by-step explanation:

x^3 + x^2 + 3x + 3

= x^2(x + 1) + 3(x + 1)

= (x^2 + 3)(x + 1).

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SECOND TIME ASKINGAt a summertime poolside snack bar, 200 ice cream scoops were sold in one day. Double scoops were sold for $1.
Snezhnost [94]

<em>What we know: </em>

200 ice cream scoops sold in one day

$1 for Single scoop

$1.25 for Double scoop

Proceeds $221.75

<em>What we want to know:</em>

We want to account for Double scoops($1.25) and Single scoops($1) and end up with exactly <u><em>200 ice cream scoops.</em></u> So if we have exactly 200 how many of each cone were sold.

<em>Reference:</em>

100 x $1= $100

100 x $1.25= $125

200 x $1= $200

200 x $1.25= 250

<em>Work:</em>

So using the reference above we can see that if you split 200 even we get $225 which is very close to $221.75.

So $225-$221.75= 3.25

If we have 117 and 83 we get 220.75 so how do we get that 1 dollar more. tax i guess....





3 0
3 years ago
A line passes through A(3,7) and B(-4,9) find the value of a if C (a 1) is on the line
Xelga [282]
What we need to do first, is to write the equation of the line through points A and B. 


the slope of the line through A(3, 7) and B(-4, 9) is 

m= \frac{9-7}{-4-3}= \frac{2}{-7}=- \frac{2}{7}


the equation of the line is :

y-7=- \frac{2}{7}(x-3)\\\\y-7=- \frac{2}{7}x+ \frac{6}{7}\\\\y= - \frac{2}{7}x+ \frac{6}{7}+ \frac{49}{7}\\\\y=  - \frac{2}{7}x+ \frac{55}{7}


C(a, 1) is on this line so it must satisfy the equation:

y=  - \frac{2}{7}x+ \frac{55}{7} \\\\1=  - \frac{2}{7}a+ \frac{55}{7}\\\\ \frac{2}{7}a= \frac{48}{7}\\\\2a=48\\\\a=24
3 0
3 years ago
A cake is a rectangular prism with height 3 inches and bases 8 inches by 10 inches. Samantha wants to apply frosting to the side
lana [24]

Answer:

268

Step-by-step explanation:

Area for surface area of a rectangular prism:

A=2(wl+hl+hw)

Assuming:

l=10\\w=8\\h=3

A=2(80+30+24)= 268

Hope this helps!

4 0
3 years ago
A long-distance runner jogs at a constant speed of 7 miles per hour for 45 minutes. Which spreadsheet formula would give the dis
levacccp [35]
Answer is A.
Distance divided by time equal speed.
3 0
3 years ago
Read 2 more answers
Needing help, the secretary of the united states department of agriculture asked your teacher, "if a chicken-and-a-half can lay
Flura [38]

we are given that

3 chickens to lay 32 eggs

now, we can find number of eggs per chicken

number of eggs per chicken= (total eggs)/(total chicken)

so, we get

number of eggs per chicken is

=\frac{32}{3}

now, we can set up following

1.5 chicken : 1.5 eggs : 1.5 days  

3 chickens : 3 eggs : 1.5 days  

1 chicken : 1 egg : 1.5 days

Since, changing number of chicken won't affect time

time to lay eggs will always remain same

so,

for 1 chicken to lay =\frac{32}{3} eggs

it takes

=\frac{32}{3}*1.5 days

=16 days..............Answer


8 0
3 years ago
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