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OlgaM077 [116]
2 years ago
11

If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

Mathematics
1 answer:
Hatshy [7]2 years ago
6 0

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= x² - 2x + 6x + 4

= x² + 4x + 4

Equating to zero

x² + 4x + 4 = 0

(x + 2)² = 0

x + 2 = 0

x = - 2

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Describe the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block as shown.
masha68 [24]

Answer: A RECTANGLE ( It has four sides, its opposite sides are congruent and all its angles measure 90 degrees)

Step-by-step explanation:

For this exercise it is important to remember the definition of a "Cross section".

In Geometry a "Cross section" is defined as that shape obtained when a three-dimensional figure is sliced by a plane.

In this case, according to the information given in the exercise, the cheese block has the shape of a cylinder. This is the three-dimensional figure.

Observe in the picture attached in the exercise that the  cylinder-shaped cheese block is cut through perpendicular to its base.

By definition, when this perpendicular cut happens, the shape obtained is  a Quadrilateral which has four  equal  angles that measure 90 degrees and whosepposite sides are parallel have equal length.

Therefore, you can conclude that the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block perpendicular to its base,is: A RECTANGLE.

3 0
3 years ago
A line with slope 3 passes through the point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2?
lana [24]
Hello!

So to find the y-coordinate we need an equation for the line. The equation we can use is

y = mx + b

In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.

10 = 3(0) + b
10 = 0 + b
10 = b

So now that we've found b, we can use this in our equation

y = 4x + b

So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.

y = 4(2) + 10
y = 8 + 10
y = 18

18 is your y-coordinate 
4 0
3 years ago
A survey of 2645 consumers by DDB Needham Worldwide of Chicago for public relations agency Porter/Novelli showed that how a comp
Andre45 [30]

Answer:look it up

Step-by-step explanation:

5 0
3 years ago
Cerebral $500 for four years at 3% interest compounded annually use the formula to calculate the total amount she will have to p
Black_prince [1.1K]
Since we're doing compound interest for four years it will be simpler than daily.
In case you didn't know the formula, here it is: A = P (1 +r/n)^(nt)
now lets substitute.
A = 500 (1 + 0.03)^4
A = 500 (1.03)^4
A = 500 (1.12550881)
A = 562.754405
Since that decimal is too big for cash, let's round it. Notice that the number after 5 is lower than 5. Thus the first two numbers stay the same and the final answer will be..
A = 562.75
Hope this helps :3
4 0
3 years ago
parker correctly answered 70% of the questions on his math test. If he answered 35 questions correctly, how many questions were
Alexandra [31]

Let the total number of questions in the math test be defined by the variable x.

Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.

The information we have above can be expressed as an equation given below:

70% of x=35

This can be rewritten as:

\frac{70}{100}x=35

Thus, to find the total number of questions we will have to isolate x.

\therefore x=\frac{35\times 100}{70}=50

Therefore, there were a total of 50 questions in the math test.

4 0
3 years ago
Read 2 more answers
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