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3 years ago

Which expression is equivalent to 2(9 + 7)? (1 point) Select one: a. 18 + 14 b. 18 + 7 c. 11 + 9 d. 11 + 7

Mathematics

2 answers:

Rom4ik [11]3 years ago

7 0

2(9 + 7) = 2*9 + 2*7 = 18 + 14

So it is a.

Leni [432]3 years ago

7 0

Answer:

Option a. 18 + 14

Step-by-step explanation:

Thinking process:

The expression : 2 (9+7) gives 2(9) + 2(7)

= 18 + 14

= 32

Looking at the answers and comparing, a is the best option

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Sketch a graph of −3x+y=2

DIA [1.3K]

You can do this by first finding the y intercept which is the point where x = 0

-3(0) + y = 2
so y intercept is the point (0,2)

Now find the x intercept by putting y = 0

-3x = 2

x = -2/3

So we have 2 points (-2/3, 0) and (0,2) Draw a line through these 2 points and you have the required graph.

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3 years ago

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What is wrong with the following proof? Clearly we know that 1 does not equal 2. What rule of algebra did we break that makes th

Gnoma [55]

An attempt to divide by zero gives a contradictory result

A rule of algebra broken is <u>dividing by zero</u> (leading to a contradiction) and stating a finite result

Reason:

The given calculation is presented as follows;

1. a > 0, b > 0 given

2. a = b given

3. a·b = b²

4. a·b - a² = b² - a²

5. a·(b - a) = (b + a)·(b - a)

6. a = b + a

7. 0 = b

8. b = 2·b

9. 1 = 2

From line 4, the result are;

4. a·b - a² = b² - a² = 0

5. a·(b - a) = (b + a)·(b - a) = 0

On line 6, both sides where divided by (b - a) = 0, which should given an infinite result

Therefore, one rule of algebra broken is dividing by zero to get a finite result

In line 7, we have;

7. 0 = b

From 6. a = b + a, and a = b, we have;

8. b = 2·b

Therefore, line 9 should be;

9. 0 = 2·0; 0 = 0, given that we have;

1 × 0 = 0

2 × 0 = 0

∴ 1 × 0 = 2 × 0

However

1 ≠ 2

In line 9., by dividing by b = 0, again, we have;

9. 1 = 2 (a contradiction)

Therefore, one rule of algebra that is broken is <u>dividing by zero</u> and having a finite result

Learn more about the rules of algebra here:

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3 years ago

3 Simplify the expression: 5! 2:3! 4. Simplify the expression:

vredina [299]

Answer:

Step-by-step explanation:

$5! 2:3! 4 \\ \\ = \frac{5! \: .2}{3! \: . 4} \\ \\ = \frac{5.4. \cancel{3!} \: . 2}{\cancel{3!} \: .4} \\ \\ = \frac{40}{4} \\ \\ = 10$

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3 years ago

Graph F(x)=32x+2. Please

olga2289 [7]

Answer:

The required graph is shown below:

Step-by-step explanation:

Consider the provided graph $f(x)=32x+2$

The above function is a linear function.

We can draw the graph of the linear function with the help of two points.

Substitute x = 0 in $f(x)=32x+2$

$f(0)=32(0)+2$

$f(0)=2$

Hence, the coordinates are (0,2)

Substitute f(x) = 0 in $f(x)=32x+2$

$0=32x+2$

$32x=-2$

$x=-0.0625$

Hence, the coordinates are (-0.0625,0)

Now join the above points.

The required graph is shown below:

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3 years ago

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The vertices of a rectangle are (1, -3), (4,0), (0,4) and (-3,1). What is the area of the rectangle?

motikmotik

Answer:

Step-by-step explanation:

You can use a graphing calculator like desmos or draw your own graph to figure this out. Start by graphing each of those points. Then count the width and height. Multiply them to get the area. The width and height of the rectangle were 6 and 8, so the area is 48

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2 years ago