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brilliants [131]
3 years ago
12

A garden table and a bench cost $750 combined. The cost of the garden table is two times the cost of the bench. What is the cost

of the bench?
Mathematics
2 answers:
AleksandrR [38]3 years ago
6 0
The bench costs $250.
Nonamiya [84]3 years ago
3 0
I worked out this on paper, then missed a few steps & looked it up :)

The equation looks like this

2<em>b</em> + <em>b = </em>750

This simplifies to

3<em>b</em> = 750

Divide

3<em>b</em>/3 = b

750/3 = 250

So, the cost of the bench is $250.
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sergey [27]

it the tenths I think.....

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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
To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.
docker41 [41]

Answer:

Both answers are 3.

Step-by-step explanation:

10^3 = 10 * 10 * 10 = 1000

When you multiply 42.12 by 10^3, you are multiplying 42.12 by 1000.

When you multiply a number by a power of 10, such as 10, 100, 1000, etc., move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10.

42.12 * 1000 = 42,120

5 0
3 years ago
Work out the area of a parallelogram of base 6cm and height 8cm
trapecia [35]
The formula to find the area of a parallelogram is: A=bh (b standing for your base, and h for height) You substitute 6 and 8 into your formula and your answer is 48cm^{2}
7 0
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In triangle ACD, what is the value of X:<br> who ever show works gets brainly.
Keith_Richards [23]

Answer:

x = 7.5

Step-by-step explanation:

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6 0
3 years ago
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