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Debora [2.8K]
3 years ago
15

Solve inequality algebraically 3|x +2|+7<43

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

x<10 and x>−14

Step-by-step explanation:

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

11

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…).

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2 years ago
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3 years ago
Which points can be connected to draw a line of symmetry through this diamond?
Makovka662 [10]

The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

<h3>What is a line of symmetry?</h3>

It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.

We have given a figure in the picture.

The figure is a quadrilateral(a kite)

As we know, lines of symmetry make exactly two halves with similar shapes and sizes.

IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.

Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

Learn more about the line of symmetry here:

brainly.com/question/1597409

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5 0
2 years ago
Evaluate the expression
ohaa [14]

Answer:

  10

Step-by-step explanation:

\dfrac{5\cdot x^3}{x^2}=5x

For x=2, this is ...

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7 0
3 years ago
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Use integration by parts to find the integrals in Exercise.<br> ∫(4x-12)e-8x dx.
stepladder [879]

Answer:

e(2x^{2} -12x)-4x^{2}+C

Step-by-step explanation:

We have been given an indefinite integral as \int \left(4x-12\right)e-8x\:dx. We are asked to find the given integral.

Let us solve our given problem.

\int \left(4x-12\right)e\:dx-\int 8x\:dx

Take out constant:

e\int \left(4x-12\right)\:dx-8\int x\:dx

e(\int 4x\:dx -\int 12\right\:dx)-8\int x\:dx

e(\frac{4x^{1+1}}{2} -12x)-8*\frac{x^{1+1}}{1+1}+C

e(\frac{4x^{2}}{2} -12x)-8*\frac{x^{2}}{2}+C

e(2x^{2} -12x)-4x^{2}+C

Therefore, our required integral would be e(2x^{2} -12x)-4x^{2}+C.

5 0
2 years ago
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