Write an equation of the parabola in vertex form. (-2, 6) (-1, 3)
An equation of the parabola is y=​

Answer:

2.4hrs or 2hrs 24 minutes

Step-by-step explanation:

3/5 × 4/1 = 12/5

60÷5=12

12×12=144

144÷60=2.4hrs

Answer:

First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.

2y = - 6x + 8

y = (-6x/2) + 8/2

y = - 3x + 4

The current slope is -3 or -3/1

The negative reciprocal is 1/3

The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.

New position :

Let the number of overtime hours required weekly = t

Hence,

(14.90 × 40) + 22.35t = 820

596 + 22.35t = 820

22.35t = 820 - 596

22.35t = 224

t = 224 / 22.35

t = 10

Therefore, he'll need 10 hours of overtime.

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Answer: A

0.16

Step-by-step explanation:

just took it

Answer:

A: (-7, -4)

B: (-3, 8)

Step-by-step explanation:

Ordered pairs are (x,y).

Count the lines and see:

A is 7 to the left and 4 down so (-7, -4)

B is 3 to the left and 8 up so (-3, 8)

REMEMBER X IS ALWAYS FIRST!!

Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)

Hope that helps!

Let the sons age = x

The dads age would be 3x ( 3 times the sons age)

X + 3x = 48

Simplify:

4x = 48

Divide both sides by 4

X = 12

The sons age is 12

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

Given that a group wants to visit a water park over the summer, and tickets cost $ 10 for each child and $ 15 for each adult, and the group has a total of $ 90 to spend on tickets to the water park, to determine how many people from each group went to the park, the following calculation should be made:

10X + 15Y = 90

Thus, there are different correct options:

9 children and 0 adults, 6 children and 2 adults, 3 children and 4 adults, or 6 adults and 0 children went to the park.

credit to: francocanacari

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

(a)

3 × a × 2 × b

= 3 × 2 × a × b

= 6ab

(b)

[tex]c^{5}[/tex] × c

= [tex]c^{(5+1)}[/tex]

= [tex]c^{6}[/tex]

(c)

2[tex]y^{4}[/tex] × 5y³

= 2 × 5 × [tex]y^{4}[/tex] × y³

= 10 × [tex]y^{(4+3)}[/tex]

=10[tex]y^{7}[/tex]

(d)

3gh² × 4g³h³

= 3 × 4 × g × g³ × h² × h³

= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]

= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]

Answer:

9

Step-by-step explanation:

I've attached a picture, and I hope it's clear and understandable.

Answer: k=9

Step-by-step explanation:

Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.

The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,

2k/3 = 6

2k = 18

k = 9

Answer:

$25

Step-by-step explanation:

500*0.05=25

Answer:

$25 because 100 is half of 500

Answer:

Step-by-step explanation:

6) y = 2x² +  6x - 80

1) y = 2*x² + 2*3x - 2*40

  y = 2 [ x² + 3x - 40]

2) Sum = 3

Product = -40

Factors = (-5) ; 8   {-5 +8 = 3  ; (-5)*8 = -40}

y = 2 [ x² + 8x - 5x - 40]

      = 2 [ x(x + 8) -  5(x + 8) ]

      = 2 [ (x +8) (x - 5)]

y = 2(x +8)(x -5)

b) y = 0

2(x + 8)(X - 5) = 0

x + 8 = 0 ;  x - 5 = 0

x = -8 ;             x = 5

(-8) ; 5  are the zeros.

Answer:

7

Step-by-step explanation:

if v=2 and w=5 you add 5 and 2 and get 7

Answer:ok

Step-by-step explanation:

ez ez ez ez

Answer:

7

Step-by-step explanation:

it is a 16 digit credit card number. Therefore, start from the first digit and double alternating digits. Add them and the non doubled digits. should be divisible by 10. For double digits, they are added to make single digit.

9+3+8+3+9+4+7+5+6+1+5+3+4+3+3+x = 73+x

final number should be divisible by 10.

x=7

Answer:

3/10 or 0.3

Hope this helps

the awnser is 0.3 .......................

Answer: no

Step-by-step explanation: no

Using the distributive property with FOIL:

(3n + 2) ( n + 3)

3n² + 9n + 2n + 6

3n² + 11n + 6

Step-by-step explanation:

The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.

Answer:

Step-by-step explanation:

17. ≈ 1.41 + 5 = 6.41

18. ≈ 1.73 × 2.24 = 3.8752

19. ≈ 3.14 × 25 = 78.5

20. ≈ 2.24 × 2.24 = 5.0176

21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72

22. I’m sorry. I don’t know.

please give me a brainliest answer

Answer:

12:16

Step-by-step explanation:

28 split into two groups could be 12 : 16. To check the work, see if 3/4 is equal to 12/16. It is, so this is the accurate ratio, as 12 + 16 = 28 and 12/16 = 3:4.

Answer:

The rate of travel is 105.6 feet per second, so 211.2 feet could be travelled in 2 seconds.

Step-by-step explanation:

If you take 5280 times 72 it equals 380160 which is the total amount of feet travelled in an hour so you divide it by 60 giving you 6336 which is the total feet travelled in 1 minute and you divide it 1 more time to get 105.6 which is the total feet travelled in 1 second. Hope this helps!

Answer:

45, 30, & 105

Step-by-step explanation:

<B=<D by alt. interior <s

180-150=30, so <C=30, <C=<A by alt interior <s

30+45=75

180-75=105

Answer:

B.[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]m=\frac{3}{2}\\n=\frac{1}{2\\} \\\frac{1}{2} (m-\frac{2}{3} n)=\frac{1}{2} (\frac{3}{2} -\frac{2}{3} .\frac{1}{2} )\\=\frac{7}{12}[/tex]

So B is the correct answer.

Expression is a combination of operators, variables and numbers.. The value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

Expression is a combination of operators, variables and numbers.

The given expression is one by two  times of m minus two by three times n.

1/2 (m-2/3n)

where m and n are two variables with values m equal to three by two 3/2 and n equal to one by two.

1/2 (3/2-2/3(1/2))

Firstly we solve the value in parenthesis.

1/2 (3/2-1/3)

LCM of two, three is six

1/2 ((9-2)/6)

Subtract nine and two we get seven

1/2 (7/6)

Now one by two times of seven by six

7/12

So value of the expression 1/2 (m-2/3n) when m=3/2 and n= 1/2 is 7/12.

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