Johnathan needs 3 5/8 yards of blue material and 6 3/4 yards of red material How many yards does Johnathan need in all?

This is one way of doing it.

We want to get the function into vertex form.  

y = x2 - 4x + 2                  Subtract 2 from both sides.

y - 2 = x2 - 4x                   Add (-4/2)2 , or 4, to both sides.

y - 2 + 4 = x2 - 4x + 4       Now that the right hand side is a perfect square trinomial, factor it.

y + 2 = (x - 2)(x - 2)          

y + 2 = (x - 2)2                  Subtract 2 from both sides.

y = (x - 2)2 - 2

When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)

Answer:

2n + 23

Step-by-step explanation:

11 + 4n - 2n + 12

Rearrange terms:

4n - 2n + 12 + 11

Combine like terms:

2n + 23

Answer:

$16.5 or $30.5

Step-by-step explanation:

for 3 of you (kids) its 5.50x3=16.5 or for you and your aunt , uncle its 5.50+12.50+12.50=30.5

Answer:

1.c

2.c

3.a

Step-by-step explanation:

1. because angle 4 and angle 8 are in the  same spot

2. these are alternative interior angles on a parell line so the are congruent

3. angle 2 and angle 5 are on the same side and inside the 2 lines

Answer:

See below

Step-by-step explanation:

X Intercept = (9,0)

Y Intercept = (0, -5.143) in fractions (0,-5 143/1000)

X Intercept is what is X when Y is 0.

Y Intercept is what is Y when X is 0.

If is helped you, please mark this as brainliest!! Thank you!! :)

Answer:

1) 2 and 4

2) 3 and 4

3) 7 and 8

4) 9 and 10

5) 21 and 22

Step-by-step explanation:

#1

Since √(8) = √(2×4) = 2√2

then the √(8) lies between 2 & 3

#2

Since √(9) = 3 & √(16)= 4

then √(14) lies between 3 & 4

#3

√(60) = √(4×15) = 2√(15)

  since √16 = 4 and 4 × 2 = 8

  then 2√(15) < 8

∴ the √16 lies between 7 & 8

#4

√99 = √(9×11) = 3√11

√11 lies between √9 & √16 but closer to √9

   & 3 × √16 = 12

the 3√11 = √99  likely lies between 9 & 10

#5

√444 = √(4×111)= 2√111

since √100 = 10 & √121 = 11

& 2×10= 20 & 2×11= 22

then 2√111 is likely between 21 & 22

Answer:

sloped answer

Step-by-step explanation:

(6,1) guessed soon, look other too

Answer:

Construyendo y resolviendo una ecuación, tenemos que el número puede ser 8 o -10.

Para encontrar el número, tenemos que resolver una ecuación cuadrática, luego:

[tex]x^2 + 2x - 5 = 75[/tex]

[tex]x^2 + 2x - 80 = 0[/tex]

Ecuación cuadrática con [tex]a = 1, b = 2, c = -80[/tex]

[tex]\Delta = 2^2 - 4(1)(-80)[/tex]

[tex]x_{1} = \frac{-2 + \sqrt{324}}{2} = 8[/tex]

[tex]x_{2} = \frac{-2 - \sqrt{324}}{2} = -10[/tex]

El número puede ser 8 o -10.  

Un problema similar es dado en https://brainly.com/question/24673650

Answer:

Loading,please wait...

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

3-7

-----

-6-0

= -4/-6

=2/3

Answer:

Step-by-step explanation:

Use the slope formula:

Testing the hypothesis, we have that since the p-value of the test is 0 < 1, our response is that the presumption underestimates the proportion of defective parts.

At the null hypothesis, we test if the proportion of defectives is of at most 1%, that is:

[tex]H_0: p \leq 0.01[/tex]

At the alternative hypothesis, we test if the proportion of defectives is of more than 1%, that is:

[tex]H_1: p > 0.01[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

From the sample, we have that:

[tex]n = 500, \overline{p} = \frac{15}{500} = 0.03[/tex]

Thus, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.03 - 0.01}{\sqrt{\frac{0.01(0.99)}{500}}}[/tex]

[tex]z = 4.49[/tex]

The p-value of the test is the probability of finding a sample proportion above 3%, which is 1 subtracted by the p-value of z = 4.49.

z = 4.49 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0 < 1, which means that our response is that the presumption underestimates the proportion of defective parts.

A similar problem is given at https://brainly.com/question/24912812

Answer:

y = 15q - 5f

Step-by-step explanation:

[tex]\frac{y}{5}[/tex] + f = 3q ( subtract f from both sides )

[tex]\frac{y}{5}[/tex] = 3q - f ( multiply through by 5 to clear the fraction )

y = 15q - 5f

Answer:

Step-by-step explanation:

11

f (9) = 5 - 2 (9)

f (9) = 5 - 18

f (9) = - 13

f (9) + 3 = - 13 + 3

f (9) + 3 = - 10

Answer:

the answer is -10

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Answer:

pooStep-by-step explanation:Stinky

Answer:

wheres the rest of question?

Step-by-step explanation:

Answer:

Yes! It does make up a relation. It is also a function. Each x has a y. And also the x doesn't repeat

Answer:

A) ∠5 = 160°

B) ∠4 = 37°

C) ∠3 = 98°

Step-by-step explanation:

A)

If ∠1 = 160°

⇒ ∠5 = ∠1 = 160° (∵ Corresponding angles are always equal)

B)

If ∠6 = 37°

⇒ ∠4 = ∠6 = 37° (∵ Vertical angles are always equal)

C)

If ∠8 = 82°

⇒ ∠8 = ∠6 = 82° (∵ Alternate interior angles are always equal)

Now ,

∠6 + ∠3 = 180° (∵ Linear pair)

⇒ ∠3 + 82° = 180°

⇒ ∠3 = 180° - 82° = 98°

The value of the expression Csc(6x)-cot(6x)/csc(6x)+cot(6x) is tan²3x.

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

[tex]\rm =\dfrac {cosine(6x)-cot(6x)}{cosine(6x)+cot(6x)}\\\\\\\ = \dfrac{ \dfrac{1}{sin6x} - \dfrac{cos6x}{sin6x}}{ \dfrac{1}{sin6x} + \dfrac{cos6x}{sin6x}}\\\\\\ = \dfrac{ 1-cos 6x}{1+cos6x}[/tex]

( 1- cosx = 2sin²x/2) ( 1+cosx = 2cos²x/2)

[tex]\rm = \dfrac{ 2 sin^2 3x}{2 cos^2 3x}\\\\\\\\=tan^2 3x[/tex]

To know more about Trigonometric Ratios

https://brainly.com/question/1201366

#SPJ2

Answer:

q(8) = 39.

Step-by-step explanation:

relate the values

for,

q(x) = 1/2x² + 7

q(8) = 1/2(8²) + 7

q(8) = 39.

Answer:

q(8) = 39

Step-by-step explanation:

To solve this question, you need to plug in (substitute) 8 instead of x:

q(8) = [1/2(8)²] + 7

= (1/2 × 64) + 7

= 32 + 7

= 39

∴ q(8) = 39

Answer:

the answer is 720000

Step-by-step explanation:

looked it up

Answer:

Bet!! :D can i get brainliest !! please

Step-by-step explanation:

Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

Answer:

30

Step-by-step explanation:

350÷12=29.1666666666666666......

if you are fitting all of them with no remainder than it would be 30 boxes

if not then 29

Answer:

29 full boxes plus one for the remainder

Step-by-step explanation:

why do you need to know this

and please dont eat that many cream puffs

Answer:

√80 = 4√5

80²=1600

Step-by-step explanation:

80 | 2

40 | 2

20 | 2

10 | 2

5 | 5

√80= 2⁴ × 5

80= 2² × 5

80 = 4√5.

[tex] \frac{27}{125} [/tex]

It is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Answer:

27 /125

is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 27 and 125 is 1

Divide both the numerator and denominator by the GCD

27 ÷ 1 /125 ÷ 1

Reduced fraction:  

27 /125

Therefore, 27/125 simplified to lowest terms is 27/125.

1. True.

2. False. x² + 4 = (x+2)(x-2)

3. True.

4. False. It gives (x²-9) which is a binomial.

Feel free to mark this as brainliest! :D