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3 years ago

Factor the trinomial: 3x2 + 13x + 12

Mathematics

1 answer:

yarga [219]3 years ago

8 0

Answer:

Step-by-step explanation:

(3x + 4)(x + 3)

3x^2 + 9x + 4x + 12

3x^2 + 13x + 12

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Mark gathered data about the number of pink and red flowers that bloomed on several of his flowering shrubs. The scatter plot sh

fgiga [73]

The scatter plot showing data gathered and line of best fit is attached below :

Answer:

Step-by-step explanation:

Given the regression model :

y = 1.73x + 0.0924

Where,

y = number of pink flowers

x = Red flowers

Slope = 1.73

Intercept = 0.0924

The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :

Put x = 40 and calculate the value of y

y = 1.73(40) + 0.0924

y = 69.2 + 0.0924

y = 69.2924

Number of pink flowers = 69

8 0

3 years ago

Solve (x-2<5) u (x+7>6)

grin007 [14]

x= | 1 < x < 3

x + 2 < 5 and x - 7 > -6

x < 5 - 2 and x > -6 + 7

I don't know if I am 100% right.

4 0

2 years ago

Find the area and the circumference of a circle with radius 3 cm.

pshichka [43]

1. Observe problem

Solve for the area and Circumference of a circle who's radius is 3 cm

Area for circle formula:

pi*r^2=

9pi

I simplicity is needed, 9 pi is around

28.2743338823cm^2

Circumference for circle formula: 2*pi*r

which is

6pi

if simplicity is again needed, its around

18.8495559215cm

6 0

2 years ago

Let e f (x) = x2 – 2x - 4 What is the average rate of change for the quadratic function from X = -1 tox to x = 42 Enter your ans

sammy [17]

Answer:

The average rate of change of the given function

A(x) = 1

Step-by-step explanation:

Step(i):-

Given function f(x) = x² - 2x -4

And given that x = a = -1 and x=b = 4

The average rate of change of the given function

$A(x) = \frac{f(b)-f(a)}{b-a}$

Step(ii):-

f(x) = x² - 2x -4

f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1

f(4) = 4² -2(4) -4 = 16 -12 = 4

The average rate of change of the given function

$A(x) = \frac{f(b)-f(a)}{b-a}$

$A(x) = \frac{4-(-1)}{4-(-1)} = \frac{5}{5} = 1$

final answer:-

The average rate of change of the given function

A(x) = 1

5 0

3 years ago

Read 2 more answers

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and

MakcuM [25]

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

The complete question is

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought a total of 14 peaches and bananas altogether. Determine the number of peaches and the number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought a total of 14 bananas and peaches altogether

$x+y=14$ -----> equation A

She bought $20.80 worth of bananas and peaches

$0.80x+2y=20.80$ -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

3 0

3 years ago