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dybincka [34]
2 years ago
9

Pls help on #7 I will give brainiest ! 7th grade level

Mathematics
1 answer:
valentina_108 [34]2 years ago
4 0

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

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Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit
Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is y=2x^{2}-4x+10

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

In this problem we have

y=2(x-1)^{2}+8 -----> this is the equation in vertex form of a vertical parabola

The value of a=2

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point (1,8)

so

(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

y=2(x^{2}-2x+1)+8

y=2x^{2}-4x+2+8

y=2x^{2}-4x+10

see the attached figure to better understand the problem

7 0
3 years ago
Need help with working perimeter and area please
SVETLANKA909090 [29]

Answer:

Area = 228 m²

Perimeter = 60 m

Step-by-step explanation:

The figure given shows a rectangle that has a cut triangular portion.

✔️Area of the figure = area of rectangle - area of the triangular cut portion

= L*W + ½*bh

Where,

L = 20 m

W = 12 m

b = 20 - (8 + 8) = 4 m

h = 6 m

Plug in the values

Area = 20*12 - ½*4*6

Area = 240 - 12

Area = 228 m²

✔️Perimeter = perimeter of rectangle - base of the triangular cut portion

= 2(L + W) - b

L = 20 m

W = 12 m

b = b = 20 - (8 + 8) = 4 m

Plug in the values

Perimeter = 2(20 + 12) - 4

= 2(32) - 4

= 64 - 4

Perimeter = 60 m

5 0
3 years ago
Lauren has gross pay of $765 and federal tax withholdings of $68. Determine Lauren's net pay if she has the additional items wit
Romashka-Z-Leto [24]
<span>gross =768
 fed = 68
 ss = 6.2/100 times 765
 med = 1.45/100 times 765
state = 22/100 times 68
gross - ( sum of all deductions) = net pay
</span><span>Subtract 6.2% of $765 = 0.062 * $765 = 48.67
</span><span>Subtract 1.45% of $765 = 0.0145 * $765 = 11,0925
</span><span>Subtract 22% of $68 = 0.222 * $65 = 14.43
</span>Social security tax = 765 * 6.2% = 47.43
Medicare tax  = 765 * 1.45% = 11.09
State tax (22% of federal tax) = 68 * 22% = 14.96

765 - 68 - 47.43 - 11.09 - 14.96 = 623.52

 net pay is 623.52

8 0
3 years ago
Read 2 more answers
3.57 x 10 <br> write in standard form
Bess [88]

\huge\text{Hey there!}

\textsf{3.57}\times\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{\rightarrow 10\times10\times10}\\\mathsf{\rightarrow100\times10}\\\mathsf{\rightarrow 1,000}\\\\\textsf{3.57}\times\textsf{1,000}\\\rightarrow\textsf{3,570}\\\rightarrow\mathsf{3.57\times10^3}\\\\\huge\boxed{Answer: {\frak{3.57\times 10^3}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

7 0
3 years ago
Tammy knits blanket and scarves. On the first day of a craft fair, she sells 2 blankets and 5 scarves for $104
omeli [17]

Answer:

Cost of Blanket = 32

Step-by-step explanation:

Let the cost of a blanket be = b , cost of a scarf be = s. Blanket price x Blanket Quantity & Scarf Price x Scarf Quantity sum up to be total sales.

So, Day 1 : 2b + 5s = 104 (i)  , Day 2 : 3b + 4s = 128 (ii)

Solving equations : Multiplying (i) by 3 , & (ii) by 2 , we get

6b  +  15s    =   312 ,

(-)6b + (-)8s =  (-)256

By elimination method, 15s - 8s = 312 - 256 → 7s = 56 → s = 56 / 7 = 8 .

Putting s value in any equation i], 2b + 5 (8) = 104 → 2b + 40 = 104 → 2b = 104 - 40 = 64 → b = 64 / 2 = 32

3 0
3 years ago
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