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den301095 [7]
2 years ago
7

2x+3=15 x+y=6 work out the values of x and y

Mathematics
2 answers:
madam [21]2 years ago
5 0

Answer:

x=6 and y=0

Step-by-step explanation:

1. 15-3=12

2. 12÷2=6 6=x

3. 6-6=0 0=y

grin007 [14]2 years ago
5 0
Subtract 3 from 15 and positive 3, you’re left with 2x = 12. Now you divide both sides by 2 to get x alone. x=6 so y =0
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What is 7/45 simplified
Akimi4 [234]

Answer:

it can not go any more

Step-by-step explanation:

7/45 is the simplified terms

8 0
3 years ago
A number increased by 24 is 112. what is the number
dexar [7]
I believe the correct number is 88.
8 0
2 years ago
A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40
malfutka [58]
PART A

The given equation is

h(t) = - 16 {t}^{2} + 40t + 4

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4

We add and subtract

- 16(- \frac{5}{4} )^{2}

to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4

We again factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4

This implies that,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4

The quadratic trinomial above is a perfect square.

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4

This finally simplifies to,

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29

The vertex of this function is

V( \frac{5}{4} ,29)

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

29

PART B

When the ball hits the ground,

h(t) = 0

This implies that,

- 16 ( t- \frac{5}{4}) ^{2} +29 = 0

We add -29 to both sides to get,

- 16 ( t- \frac{5}{4}) ^{2} = - 29

This implies that,

( t- \frac{5}{4}) ^{2} = \frac{29}{16}

t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }

t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}

t = \frac{ 5 + \sqrt{29} }{4} = 2.60

or

t = \frac{ 5 - \sqrt{29} }{4} = - 0.10

Since time cannot be negative, we discard the negative value and pick,

t = 2.60s
8 0
3 years ago
Each train car holds 71 passengers. About how many train cars
gulaghasi [49]

567/71 because passengers/(train cars/passengers) = train cars

71 x 7 = 497 (not enough)

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Answer: 8 train cars

7 0
2 years ago
What is the equation of a line passing through (-3,7) and having a slope of -1/5?
g100num [7]
We'll use the slope-intercept form y = mx + b. Where m is the slope and b is the y-intercept.

We know the slope, -1/5. Now the equation looks like y = (-1/5)m + b

To find the y-intercept, plug in the ordered pair that the question gave us into our equation and solve for b.

7 = (-1/5)(-3) + b
7 = 0.6 + b
6.4 = b
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So, the y-intercept will be at 6 2/5.
4 0
3 years ago
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