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liubo4ka [24]
3 years ago
6

Someone help PLEASE

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer:

<h2>Q4. (-7)</h2><h2>Q5. (-8)</h2>

Step-by-step explanation:

The perfect square:

(a+b)^2=a^2+2ab+b^2

Q4

We have

y^2+14y+49=0\\\\y^2+2(y)(7)+7^2=0\\\\(y+7)^2=0\iff y+7=0\qquad\text{subtract 7 from both sides}\\\\\boxed{y=-7}

Q5

We have

y^2+16y+64=0\\\\y^2+2(y)(8)+8^2=0\\\\(y+8)^2=0\iff y+8=0\qquad\text{subtract 8 from both sides}\\\\\boxed{y=-8}

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8 0
3 years ago
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What is 17 divided by 3 without remainders.
LenaWriter [7]

Answer:

5.6666666667

Step-by-step explanation:

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4 0
3 years ago
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the relationship between the x- and y- values in each table is linear. write a function. find the amount and rate of change. (5
Doss [256]

(5)

Since, the relationship is linear

so, we can use point slope form of line and find equation of line

we can select any two points

first point is (4,10)

so, x1=4 , y1=10

second point is (7,17.5)

so, x2=7 , y2=17.5

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{17.5-10}{7-4}

m=2.5

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-10=2.5(x-4)

we get

y=2.5x

Initial amount:

It is the value of y when x=0

so, we can plug x=0 and find y

y=2.5\times 0

y=0

So, initial amount is 0

Rate of change:

we know that rate of change is slope

so, m=2.5

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(6)

Since, the relationship is linear

so, we can use point slope form of line and find equation of line

we can select any two points

first point is (2,29)

so, x1=2 , y1=29

second point is (5,41)

so, x2=5 , y2=41

now, we can find slope

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug values

m=\frac{41-29}{5-2}

m=4

now, we can use point slope form of line

y-y_1=m(x-x_1)

now, we can plug values

y-29=4(x-2)

we get

y=4x+21

Initial amount:

It is the value of y when x=0

so, we can plug x=0 and find y

y=4\times 0+21

y=21

So, initial amount is 21

Rate of change:

we know that rate of change is slope

so, m=4

so, the rate of change is 4


6 0
3 years ago
Ending 7:43 elapsed time 37 minutes
Novosadov [1.4K]
Starting time:
Ending time: 7:43

Elapsed time: 37 minutes.

We are 43 minutes into 7 o'clock. 37 minutes ago, it would have been 43 - 37, or 6 minutes.

The starting time is 7:06
3 0
3 years ago
Read 2 more answers
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