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2 years ago

They intersect at the point (p, q). Which is greater, c or d? Explain how you know.

Mathematics

1 answer:

Natasha2012 [34]2 years ago

4 0

Answer:

d is greater than c, since at $x = 0, g(x) > f(x)$

Step-by-step explanation:

We are given two exponential functions, f and g.

Since f has the higher base(3 instead of 2 in g), it increases faster, so initially, g is greater than f, and after point (p,q), f is greater than g.

The values of c and d are found when $x = 0$ . At this point, we have that g is greater than f, so d is greater than c.

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Evaluate the function for x = 3a. f(x)=2x^2-3x 4

Dmitry_Shevchenko [17]

Hello,

f(x)=2x^2-3x+4
f(3a)=2(3a)^2-3*(3a)+4=2*9a²-9a+4=18a²-9a+4

5 0

3 years ago

15x^2 + 41x + 28 <br><br>STEP BY STEP ANSWER PLSSS

maria [59]

Answer:

(3x+4)(5x+7)

Step-by-step explanation:

15x^2 +41x+28

Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.

a+b=41

ab=15×28=420

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.

1,420

2,210

3,140

4,105

5,84

6,70

7,60

10,42

12,35

14,30

15,28

20,21

Calculate the sum for each pair.

1+420=421

2+210=212

3+140=143

4+105=109

5+84=89

6+70=76

7+60=67

10+42=52

12+35=47

14+30=44

15+28=43

20+21=41

The solution is the pair that gives sum 41.

a=20

b=21

Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).

(15x^2 +20x)+(21x+28)

Factor out 5x in the first and 7 in the second group.

5x(3x+4)+7(3x+4)

Factor out common term 3x+4 by using distributive property.

(3x+4)(5x+7)

7 0

3 years ago

Read 2 more answers

a soccer mall is kicked from the ground, After travelling a horizontal distance of 35 m it just passes over a 1.5m tall fence be

miv72 [106K]

the y axis is on the top and the x axis is acroos

:]]]]

8 0

3 years ago

Points W, K, and

Ksju [112]

Answer:

Points W, K, and J are collinear. Line CA and line YK intersect at point B. Point W is not contained on line m. The answers will be J,B,W

Step-by-step explanation:

Hope this helped :)

5 0

2 years ago

A roof is shaped like a square pyramid. The base length is 10 meters and the slant height is 12 meters. What is the surface area

nasty-shy [4]

Surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters

<u>Solution:</u>

Given that

Shape of the roof is square pyramid.

Base length of square pyramid roof = 10 meters

Slant height of square pyramid roof = 12 meters

Need to calculate the surface area of the roof

$\text { Surface area of square pyramid }=s^{2}+2 \times s \times l$

Where s is side of square base and l is slant height.

In our case s = 10 meters and l = 12 meters

On substituting the given values in formula we get

Surface area of square pyramid $=10^{2}+(2 \times 10 \times 12)=100+240=340 \text { meters }^{2}$

Hence surface area of square pyramid having square base side = 10 cm and slant height = 20 cm is 340 square meters.

6 0

3 years ago