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Ghella [55]
3 years ago
7

Translate the following into an algebraic expression: the sum of a number and five, added to the difference between the same num

ber and three
Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer:

It simplifies to 2x + 2.

Step-by-step explanation:

Let the number be x, then the expression is

x + 5 + (x - 3)

= x + 5 + x - 3

= x + x + 5 - 3

= 2x + 2.

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In order to tell if a graph is a function it must
nikitadnepr [17]
You can use the vertical line test (the blue lines on the drawing) and if the other end or if any part of the line touches the blue line, then it isn’t a function.

5 0
3 years ago
Determine if the function f(x)=x+4 is increasing or decreasing on the interval of 2≤x≤5. Justify your answer.
Rudik [331]

Step-by-step explanation:

Given

The function is f(x)=x+4

for x_2>x_1, we will check the values of f(x_1) and f(x_2)

Take 3 and 4

f(4)=4+4\\f(4)=8

Similarly,

f(3)=3+4\\f(3)=7

Thus, f(4)>f(3)

Also, f'(x) is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.

7 0
3 years ago
What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6.
lana [24]

Answer:

0.6x+y=24.6

Step-by-step explanation:

y-y1=m(x-x1)

y-24=-0.6(x-1)

y=-0.6x+0.6+24

y=-0.6x+24.6

y-(-0.6x)=24.6

y+0.6x=24.6

0.6x+y=24.6

6 0
3 years ago
How do you know that 21 over 30 is greater than 2 over 3
Bond [772]
The problem deals with fractions comparison, lets do it:
21/30 > 2/3
we begin solving:
21 > (2/3)*30
21 > 2*10
<span>21 > 20
</span>therefore the proposed inequality is true, <span>21/30 > 2/3

You can solve as well getting same denominator for both fractions and comparing directly, in this case we need to get 2/3 to be divided by 30:
2/3 = (10/10)(2/3) = 20/30
So we have:
</span><span>21/30 > 2/3
</span>which is equal to:
<span>21/30 > 20/30
</span>and we compare directly because both fractions are divided by the same number, and we can see that the inequality is true.
7 0
3 years ago
If a line has a slope of 2 and contains the point (-2, 1), what is its equation in
Lapatulllka [165]

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 2 and (a, b ) = (- 2, 1 ) , then

y - 1 = 2(x - (- 2)) , that is

y - 1 = 2(x + 2)

5 0
2 years ago
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