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Basile [38]
3 years ago
12

If f(x)=3x+10x and g(x)=4x-1 find (f-g)(x)

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0

Answer:

(f - g)(x) = 9x + 1

Step-by-step explanation:

Step 1: Write out functions

f(x) = 3x + 10x = 13x

g(x) = 4x - 1

Step 2: Find (f - g)(x)

(f - g)(x) = 13x - (4x - 1)

(f - g)(x) = 13x - 4x + 1

(f - g)(x) = 9x + 1

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16
Tanya [424]

Answer:

2.50

Step-by-step explanation:

Given

(x_1,y_1) = (-1,0.8)

(x_2,y_2) = (0,2)

(x_3,y_3) = (1,5)

(x_4,y_4) = (2,12.5)

Required

The rate of change (b)

The above graph is represented as:

y = ab^x

For: (x_2,y_2) = (0,2);

We have:

y = ab^x

2 = a * b^0

2 = a *1

2 = a

a = 2

For (x_3,y_3) = (1,5),

We have:

y = ab^x

5 = a * b^1

5 = a * b

Substitute a = 2

5 = 2 * b

Divide by 2

2.5 = b

b = 2.5

<em>Hence, the rate of change is 2.50</em>

7 0
3 years ago
The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the t
Likurg_2 [28]

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

<h3>What is triangle inequality theorem?</h3>

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

(c+a)>b

There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is <em>c</em> meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

24+30 > c\\54 > c

For the sides 24 ft and c ft,

24+c > 30\\c > 30-24\\c > 6

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

Learn more about the triangle inequality theorem here;

brainly.com/question/26037134

5 0
2 years ago
Read 2 more answers
Sorry my brain is fried...
KiRa [710]

Answer:

1:D,2

2:B:She found that -3(9) is positive

3:D:Evaluated -2^2 as -4

4:Confused, is there supposed to be supplemental info?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
david has 212 feet of chain link fencing that he used to make a rectangular garden space in his backyard. the lengthof the garde
joja [24]

Answer:

calcium is in shells and bones

Step-by-step explanation:

4 0
3 years ago
Please can you help me with this problem. Thanks.
avanturin [10]
Hey! since it’s a 5 sided shape it’s area will be 540° so you add up 108+100+90+120=418
the final angle is 122*
then since angles on a straight line is 180° you minus 122 from 180 and x= 58°
6 0
3 years ago
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