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podryga [215]
3 years ago
9

What is the value of x + y(3 − x) when x = −5 and y = 3?

Mathematics
2 answers:
grandymaker [24]3 years ago
6 0

Answer:

19

Step-by-step explanation:

x + y(3 − x)

Let x = -5 and y = 3

-5 +3(3 - -5)

Subtracting a negative is like adding

-5 +3(3+5)

Parentheses first

-5 +3(8)

Multiply

-5+24

Subtract

19

sleet_krkn [62]3 years ago
5 0
Answer:

19

Step-by-step explanation:

x + y(3 - x) x = -5 y = 3

Step 1. Substitute x for -5 and y for 3

(-5) + (3)(3 - (-5))

Step 2. Solve for (3 - (-5))

(-5) + (3)(8)

Step 3. Multiply 3 and 8

(-5) + 24

Step 4. Add -5 and 24

(-5) + 24 = 24 + -5 = 19

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salantis [7]

The area of the region bounded above by y= eˣ bounded by y = x, and bounded on the sides; x =0; and x = 1 is given as e¹ - 1.5.

<h3>What is the significance of "Area under the curve"?</h3>

This is the condition in which one process increases a quantity at a certain rate and another process decreases the same quantity at the same rate, and the "area" (actually the integral of the difference between those two rates integrated over a given period of time) is the accumulated effect of those two processes.

<h3>What is the justification for the above answer?</h3>

Area = \int\limits^1_0 {(e^x-x)} \, dx

= \int\limits^1_0 {e^x-x} \, dx - \int\limits^1_0 {(x)} \, dx

= e¹-(1/2-0); or

Area = e -1.5 Squared Unit

The related Graph is attached accordingly.

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brainly.com/question/27866606
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3 0
2 years ago
Question 6 (Essay Worth 5 points) Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 poi
insens350 [35]
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6 0
3 years ago
Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
What is the area of the object above?
stepan [7]

Answer:

Option C

Step-by-step explanation:

You need to begin by separating the shape into two distinct rectangles. The larger one has dimensions 15 cm * 8cm, while the smaller one has dimensions 7cm * 5cm. Adding these together, you get 15*8+7*5=155 square centimeters, or option C. Hope this helps!

6 0
3 years ago
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balu736 [363]

Answer:

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Step-by-step explanation:

draw lines in the middle of each side and the points line up in one spot

5 0
3 years ago
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