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4 years ago

Not sure how to do this problem

Mathematics

1 answer:

myrzilka [38]4 years ago

5 0

First we need to write the factors of the polynomial. In order for 1, 4, and -3 to be roots, they need to be the x values that make the polynomial equal 0.

(x - 1) = 0

That would be the factor for x = 1 because when we plug 1 in for x we get 1 - 1 which equals 0.

Multiply all the factors together.

(x-1)(x-4)(x+3)=0

Now FOIL.

$(x^2-5x+4)(x+3)$

$x^3-2x^2-11x+12$

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A 4 foot tree was planted in 2012 outside a high school. The tree grew continuously by 22% each year from that point. Find out w

Brut [27]

Answer:

The height of the tree in 2020 was of 19.63 feet.

Step-by-step explanation:

Exponential equation for growth:

The exponential equation for the growth of an amount has the following format:

$H(t) = H(0)(1+r)^t$

In which H(t) is the amount after t years, H(0) is the initial amount and r is the growth rate, as a decimal.

A 4 foot tree was planted in 2012 outside a high school.

This means that $H(0) = 4$

The tree grew continuously by 22% each year from that point.

This means that $r = 0.22$

Find out what the height of the tree was in 2020.

2020 is 2020 - 2012 = 8 years after 2012, so this is H(8).

$H(t) = H(0)(1+r)^t$

$H(t) = 4(1+0.22)^t$

$H(4) = 4(1.22)^t$

$H(4) = 4(1.22)^8 = 19.63$

The height of the tree in 2020 was of 19.63 feet.

6 0

3 years ago

the number of cakes baked varies directly with the number of hours the caterers work. What is the ratio of cakes baked to hours

aniked [119]

The required ratio of cakes baked to hours worked = 30: 1

Concept:

We know that a ratio is a term in mathematics that signifies how many times one value contains the other.

Given: The number of cakes baked varies directly with the number of hours the caterers work.

Explanation:

From the given graph, it can observe that,

30 cakes are made in 1 hour. ( When we draw a vertical line from x = 1 to the curve, we get y=30 i.e. point is ( 1,30).

The required ratio of cakes baked to hours worked = 30: 1

Learn more:

brainly.com/question/24728840

5 0

3 years ago

Which compound inequalities have the solution set represented by the given graph? Check all that apply

Contact [7]

We check with each options

'Or' represents the intersection of two graphs

'And' represents two separate graphs'

We have two separate shaded part in the given graph

So we ignore the options that has 'and' in between

LEts check first and second option

$\frac{x}{2}=13$

Simplify the first part and second part

multiply both sides by 2 .

x < 2 or 4x - 2 > = 26

solve 4x-2 > = 26

add 2 on both sides and then divide both sides by 4

4x >= 28

x >= 7

So solution is x<2 or x>=7 . that is the graph on number line

Lets check with second option

3x-3<3 or 2x+8>=22

add 3 on both sides

3x < 6

divide both sides by 3

so x< 2

2x+8>=22

subtract 8 on both sides

2x >= 30

divide both sides by 2

x >= 15

x<2 or x>=15 that does not satisfies the graph

So option A is correct

7 0

4 years ago

Read 2 more answers

Which number is equivalent to the expression 13+23 x 19-7)? A. 677 B. 443 C. 432 D. 289

vagabundo [1.1K]

13 + 23 · (19 - 7)

Do the parentheses first.

13 + 23 · (12)

Now do multiplication.

13 + 276 = 289

The answer is D) 289.

6 0

3 years ago

Geometry Help i don't understand! 20 points!!

Shkiper50 [21]

1. Given
2.Given
3.Alternate Interior Angles
4. Alternate Exterior ANgles

6 0

3 years ago