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2 years ago

5

The table represents a linear function. Write a rule for this function in the

1 answer:

dangina [55]2 years ago

5 0

Answer:

function is f(x) = x+6

and the missing outputs are 19, 24 and 27

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Children shorter than 54 inches get into the water park free. Howard is currently 42 inches tall. He grows approximately 3 inche

slava [35]

Answer:

42 + 3y ≤ 54

Step-by-step explanation:

6 0

3 years ago

Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a

jeka57 [31]

Answer:

$\\ \gamma= \frac{a\cdot b}{b\cdot b}$

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if $b \neq 0$ . Recall that given two vectors a,b a⊥ b if and only if $a\cdot b =0$ where $\cdot$ is the dot product defined in $\mathbb{R}^n$ . Suposse that $b\neq 0$ . We want to find γ such that $(a-\gamma b)\cdot b=0$ . Given that the dot product can be distributed and that it is linear, the following equation is obtained

$(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b$

Recall that $a\cdot b, b\cdot b$ are both real numbers, so by solving the value of γ, we get that

$\gamma= \frac{a\cdot b}{b\cdot b}$

By construction, this γ is unique if $b\neq 0$ , since if there was a $\gamma_2$ such that $(a-\gamma_2b)\cdot b = 0$ , then

$\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma$

6 0

3 years ago

Please help Find the area of the rectangle by multiplying its length and width.

Julli [10]

the answer is D. man

7 0

3 years ago

Read 2 more answers

21. Brian wants to purchase a piece of fabric

ella [17]

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

Choice A is $4\frac{3}{4}$ feet long

Let us convert feet to inches

$4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet$

Now convert to inches

We know that,

1 feet = 12 inches

$\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice B is $4\frac{1}{2}$ feet long

$4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet$

Now convert to inches

$\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches$

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

Choice C is $4\frac{1}{3}$ feet long

$4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet$

Now convert to inches

$\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches$

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

8 0

2 years ago

6th grade math, due today. please help

lara31 [8.8K]

Answer:

6.4x

7. 3y

8. y−4.5

9. 7/2 x+2

10. 4y+2

11. 7x

12. 2.2w−0.5

13. (1 2/3) (b) + 6 2/3

14. 15/4x + 3/2

15. 0.8x+2.5

Step-by-step explanation:

I GOTCHU FAM

4 0

2 years ago

Read 2 more answers