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3 years ago

5

Determine the solution to each of the following single variable equations. x-4=1/2(x+3) -4x=1/2(-8x+2) 3-2(-3x+1)=6x+1 0.5(x+3)=

-3(x-0.5

2 answers:

Lilit [14]3 years ago

8 0

1. x = 11
2. No solutions
3. True
4. x = 0
Hope this helps! & Happy New Years!

olga_2 [115]3 years ago

4 0

Answer:

1.x=11

2. no solution

3.infinte solutions

4.x=0

Step-by-step explanation:

i got 100% on this test!!

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The graph shows that you are traveling at a constant rate. Three of the statements are true. Which is NOT?

Bess [88]

Answer:

Your speed is 135 miles per hour.

Step-by-step explanation:

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3 years ago

6²•8² = [?]<br>Enter the value that goes in the box

Damm [24]

Answer:

36 * 64

= 2304

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2 years ago

Please help quickly!

Anuta_ua [19.1K]

Answer:3100 with 9%

Step-by-step explanation:

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3 years ago

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

32% of 1600 = 512

yaroslaw [1]

Answer:

64%: 1024
96%: 1536
132%: 2112
232%: 3712

Step-by-step explanation:

<u>64% of 1600</u>

64% of 1600 = 2 × (32% of 1600) = 2×512

64% of 1600 = 1024

<u>96% of 1600</u>

96% of 1600 = 3 × (32% of 1600) = 3×512

96% of 1600 = 1536

<u>132% of 1600</u>

132% of 1600 = (100% of 1600) + (32% of 1600) = 1600 + 512

132% of 1600 = 2112

<u>232% of 1600</u>

232% of 1600 = (100% of 1600) + (132% of 1600) = 1600 +2112

232% of 1600 = 3712

3 0

3 years ago

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