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suter [353]
3 years ago
12

Take -4 + 3a^2 from 7a - a^2.

Mathematics
2 answers:
ioda3 years ago
7 0
Hint:  \bf (7a-a^2)-(-4 + 3a^2)\implies 7a - a^2+4-3a^2
\\ \quad \\
7a \boxed{-3a^2- a^2}+4\impliedby \textit{add like-terms}
Alexxx [7]3 years ago
7 0

Answer:

-4a^2+7a+4

Step-by-step explanation:

We are asked to take -4+3a^2 from 7a-a^2.

Taking -4+3a^2 from 7a-a^2 means subtracting -4+3a^2 from 7a-a^2 as:

7a-a^2-(-4+3a^2)

Use distributive property:

7a-a^2+4-3a^2

Combine like terms:

-3a^2-a^2+7a+4

-4a^2+7a+4

Therefore, our required expression would be -4a^2+7a+4.

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if 5000000 invested at 4% interest compounded continuously how much will the investment be worth in 30 years
umka21 [38]
For this you use A=Pe^(rt)
A=furutre amount
P=present amount
e=natural base
r=rate in decimal
t=times in years

A=?
P=5000000
r=0.04
t=30

A=5,000,000e^(0.04*30)
A=5,000,000e^(1.2)
A=16600584.613683
8 0
3 years ago
Read 2 more answers
Andy, who loves to cook, makes apple cobbler for his family. The recipe (serves 6) calls for 434 pounds of apples, 514 cups of f
Tamiku [17]

This question was not written properly

Complete question;

Andy, who loves to cook, makes apple cobbler for his family. The recipe (serves 6) calls for 4 3/4 pounds of apples, 5 1/4 cups of flour, 1/6 cup of margarine, 2 7/8 cups of sugar, and 2 teaspoons of cinnamon. Since guests are coming, Andy wants to make a cobbler that will serve 15 (or increase the recipe 2 1/2 times). How much of each ingredient should Andy use?

Answer:

To serve 15, number of ingredients Andy should use =

Apples = 11 7/8 pounds

Flour = 13 1/8 cups

Margarine = 5/12 cups

Sugar = 7 3/16 cups

Cinnamon = 5 teaspoons.

Step-by-step explanation:

The recipe (serves 6) calls for 4 3/4 pounds of apples, 5 1/4 cups of flour, 1/6 cup of margarine, 2 7/8 cups of sugar, and 2 teaspoons of cinnamon. Since guests are coming, Andy wants to make a cobbler that will serve 15 (or increase the recipe 2 1/2 times). How much of each ingredient should Andy use?

For Apples

Serving for 6 = 4 3/4 pounds of apples

Serving for 15 =

= 15 × 4 3/4 pounds/6

= 11 7/8 pounds of apples

For flour

6 servings = 5 1/4 cups of flour,

15 servings =

15 × 5 1/4 cups/6

= 13 1/8 cups of flour

For Margarine

6 servings = 1/6 cups of margarine

15 servings =

= 15 × 1/6 cups/6

= 5/12 cups of margarine

For Sugar

6 servings = 2 7/8 cups of sugar

15 servings =

15 × 2 7/8 cups/6

= 7 3/16 cups of sugar

For Cinnamon

6 servings = 2 teaspoons of cinnamon

15 servings =

15 × 2/6

= 5 teaspoons

Therefore, to serve 15, number of ingredients Andy should use =

Apples = 11 7/8 pounds

Flour = 13 1/8 cups

Margarine = 5/12 cups

Sugar = 7 3/16 cups

Cinnamon = 5 teaspoons.

5 0
3 years ago
As part of a new fitness plan, Sabir walks on a treadmill at the same speed for 15 minuets every morning. The table shows the ca
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The relationship between Sabir and calories he burns can be modeled using a linear function given by:
y=ax+b
where
a=slope
b=y-intercept
from the graph, the slope will be given as follows:
taking points (3,15) and (12,60)
a=(60-15)/(12-3)=5 calories/minute
thus using the slope and a point (3,15) the equation will be:
a(x1-x)=(y1-y)
plugging the values we obtain:
5(x-3)=y-15
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7 0
3 years ago
An urn contains 10 marbles: 4 red, 3 white, 2 blue, and 1 orange. (4 points) (a) What is the probability of drawing a marble tha
photoshop1234 [79]

Answer:

a) 0.70

b) 0.30

c) 12/45 =4/15

d) 2/45

Step-by-step explanation:

a) Prob of drawing a marble red or white = No of red and white marbles/total marbles

= 7/10 = 0.70

b)  Prob of drawing a marble neither red nor white = 1-7/10 = 0.30

c)  Prob of drawing two marble one red and one  white at the same time

= \frac{4C1 (3C1}{10C2 } =\frac{12}{45}

d) Prob of drawing two marble one blue and orange  white at the same time

= \frac{2C1 (1C1}{10C2 } =\frac{2}{45}

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3 years ago
How to write a quadratic form vertex form to standard form
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Www.virtualnerd.com/algebra-2/quadratics/transforming-functions/vertex-form/convert-vertex-to-standa...

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