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Harrizon [31]
3 years ago
6

Chau will run at most 28 miles this week. So far, he has run 18 miles. What are the possible numbers of additional miles he will

run? Use t for the number of additional miles he will run. Write your answer as an inequality solved for t.
Mathematics
1 answer:
AysviL [449]3 years ago
3 0

Answer:

Step-by-step explanation:

18 + x ≤ 28

x ≤ 28 - 18

x ≤ 10

1 ≤ x ≤ 10

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17. Kayden creates a linear function where x is the input, y, is the output, and
Juli2301 [7.4K]

Answer:

see explanation

Step-by-step explanation:

A linear function has the form

y = mx + b ( m is the slope and b the y- intercept )

B

the graph has a constant rate of change , measured by the slope m of the linear function.

8 0
2 years ago
Find three real numbers​ x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g
mart [117]
We're minimizing x^2+y^2+z^2 subject to x+y+z=6. Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)

with partial derivatives

\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}

Set each partial derivative equal to 0:

\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}

Subtracting the second equation from the first, we find

2x-2y=0\implies x=y

Similarly, we can determine that x=z and y=z by taking any two of the first three equations. So if x=y=z determines a critical point, then

x+y+z=3x=6\implies x=y=z=2

So the smallest value for the sum of squares is 2^2+2^2+2^2=12 when (x,y,z)=(2,2,2).
8 0
3 years ago
Which can be the first step in finding the equation of the line that passes through the points (5, -4) and (-1, 8) in slope-inte
abruzzese [7]

Answer:

y = -2x + 6

Step-by-step explanation:

Slope = (-4 - 8)/(5 + 1)

= -12/6

= -2

Equation

y - 8 = -2(x + 1)

y - 8 = -2x - 2

y = -2x + 6  <-----------slope-intercept form

7 0
3 years ago
A term for a geometric figure that is enclosed by a circle.
Verizon [17]
A geometric figure enclosed by a circle is called an inscribed figure.
6 0
3 years ago
Read 2 more answers
Simplify the equation 32^3/5
scoundrel [369]
Ok so to simplify 32^3/5, you will need to know the steps, so I'll tell u the step by step solution. ;D

So Step 1: You have to <span>Raise 32 to the 3rd power:

</span><span><span>1.1 </span>    32 = 2</span>⁵
(32)³ = (2⁵)³ = 2¹⁵

<span>the equation has ended on step 1, so now is:

</span><span>  2</span>¹⁵
<span>------
  5
</span>
Now step 2:
Simplify it 

(you can't simplify this equation but these is the steps you gotta do on other equations so I'm just giving an example.)

  2¹⁵
------
  5

So basically your final result is:

  2¹⁵
------
  5

=====End=====

Hope you understand it :D

-Skylor/Crystal
6 0
2 years ago
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