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amid [387]
2 years ago
5

Pls do as much as u can thx

Mathematics
1 answer:
Stella [2.4K]2 years ago
4 0
If you can label your graph then I could a lot more, but
f(x) = 5x
Ordered pairs : (1,5) (0,0) (2,10)
Domain [0,infinity)
Range [0, infinity)
Mapping
0 0
1. 5
2. 10
3. 15
4. 20
5. 25
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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
Alecsey [184]

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

7 0
2 years ago
Write an expression for the perimeter of the triangle shown below:
salantis [7]
P = 3x + 0.5x + 9 - 3.4x - 25
P = 0.1x - 16

answer
<span>0.1x − 16</span>
5 0
3 years ago
What is the volume of the triangular prism? Enter your answer in the box<br> ___mm^3
luda_lava [24]

Answer:

840mm^3

Step-by-step explanation:

V=(1/2)LWH

L=14

W=10

H=12

14*12*10=1680

Then divide by 2

840

8 0
3 years ago
2.75% annual interest for a 30-year term on a $600 purchase, compounded annually
nexus9112 [7]

Answer:

6060606060

Step-by-step explanation:

66666

5 0
2 years ago
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