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2 years ago

• What is the constant term in the expression 3x + 11?

Mathematics

2 answers:

Vinvika [58]2 years ago

7 0

Answer:

Step-by-step explanation:

A constant term in an expression or equation contains no variables. In other words, it’s just number on its own. For example: f (x) = 2x2 + 3 (the constant term is 3). Other examples of constant terms: 5, -99, 1.2 and pi (π = 3.14…).

likoan [24]2 years ago

5 0

Answer: Constant = 11

Concept:

In an algebraic expression, there are three main kinds of terms:

Constants: an individual number
Variable: the unknown value
Coefficient: the number before a variable

If you are still confused, you may refer to the attachment below for a graphical explanation.

Solve:

Given expression: 3x + 11

As we know, the constant is defined as an individual number. Thus, as we can see from the given expression, <u>11 </u>is the only number that is isolated and being an individual.

Hope this helps!! :)

Please let me know if you have any questions

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Solve the inequality

GenaCL600 [577]

-1 < c + 2 < 3....subtract 2 from all sections
-1 - 2 < c + 2 - 2 < 3 - 2...simplify
-3 < c < 1
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32 > 16 - 4g > 12....subtract 16 from all sections
32 - 16 > 16 - 16 - 4g > 12 - 16....simplify
16 > -4g > -4 ...now divide all sections by -4, and change inequality signs
16/-4 < (-4/-4)g < -4/-4...simplify
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6y + 1 > = 10
6y > = 10 - 1
6y > = 9
y > = 9/6 which reduces to 3/2 or 1 1/2

-3/2y > = 9 ....multiply both sides by -2/3, cancelling the -3/2 on the left...and change the inequality sign
y < = 9 * -2/3
y < = -18/3 which reduces to - 6

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3 years ago

Given that lines b and c are parallel, and the m<1=4x-30 and m<5=2x+50. Find the measure of angle 1 and measure of angle 7

AfilCa [17]

4x-30=2x+50
+30 +30

4x=2x+80
-2x -2x

2x=80
/2 /2

X=40

4(40)-30=130°

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2 years ago

What is the rate of change and initial value of the linear function modeled by a line passing through the points (0,8) and (3,-1

kumpel [21]

The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3

When you say initial value I'm assuming you mean the y-intercept

In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula

y - 8 = -3(x - 0)
y = -3x + 8

The y-intercept is when x = 0 so,

y = -3(0) + 8
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3 years ago

Find the derivative of f(x) = 7 divided by x at x = 1.

julsineya [31]

I find it best to switch everything exponents when taking derivatives.
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
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F'(1) = -7(1)^-2
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3 years ago

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Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counti

Vilka [71]

Answer:

The least number of steps she takes to reach 20 m is 118 steps

Step-by-step explanation:

For Laura, the length of a walking step = 50 cm = 0.5 m

The repeating number of steps she takes = Two steps forward one step backwards

The number of forward steps it would take for her to reach 20 m = (20 m)/(0.5 m) = 40 steps

Given that she always takes two steps forward and one step backwards, we have;

The number of steps forward every three steps = 2 step forward + (-1) step (backward)

The number of steps forward every three steps = 2 - 1 = 1 step forward

To reach 39 steps forward, she would need 39 × 3 = 117 steps

To get to the 40 steps she needs just a step forward, making the total number of steps to reach 40 steps = 117 + 1 = 118 steps

Therefore, the least number of steps she takes to reach 20 m = 118 steps.

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3 years ago

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