A graph of a non-vertical straight line is a?

Mathematics

1 answer:

NISA [10]3 years ago

7 0

A graph of a non-vertical straight line is a linear function.

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Which relation is a function? {(1, 2), (2,4), (−1, 2), (0,3)}

Georgia [21]

Answer:

The last one :{(5, 0), (0, 1), (5, 2), (4,4)}

Step-by-step explanation:

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4 years ago

Hardy's plant grows rapidly. It grows by 10cm every 2 years. How much taller will hardy's plant be in 5 years?

nirvana33 [79]

It will be 25cm long Since it growing 10cm every 2 years it must be growing 5cm every year 10/2=5/1 To find total growth in 5 years multiply the cm it grows every year by the number of years so 5yearsX 5cm =25cm

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Whole-wheat bread costs $2.06/lb. How much would 3.8 lb of whole-wheat bread cost?

Xelga [282]

Whole-wheat bread = $2.06/lb

We need the cost of 3.8 lbs of whole-wheat bread.

So, we simply need to multiply the cost with the amount needed.

(cost per pound) × (amount of bread)

($2.06) × (3.8)

Simplify.

$7.828

Round to the nearest tenths.

$7.83

So, 3.8 pounds of whole wheat bread costs $7.83

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Please help me find the measure of the arc or angle indicated. (Angles on circles)

nata0808 [166]

Answer: 9. 54; 10. 220; 11. 71; 12. 262

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The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers

sergejj [24]

Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as $\frac{1}{x}$ and $\frac{1}{x+2}$ respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

$\frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24}$

Taking LCM on left hand side:

$\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\ \\ 
 \frac{2x+2}{ x^{2} +2x}= \frac{7}{24}$

Cross Multiplying the denominators:

$24(2x+2)=7({ x^{2} +2x}) \\ \\ 
48x+48=7 x^{2} +14x \\ \\ 
7 x^{2} +14x-48x-48=0 \\ \\ 
7 x^{2} -34x-48=0 \\ \\ 

$

Using the quadratic formula to solve the above equation:
$7 x^{2} -34x-48=0 \\ \\ 
x= \frac{34+- \sqrt{1156+1344} }{14} \\ \\ 
x= \frac{34+- \sqrt{2500} }{14} \\ \\ 
x=\frac{34+-50 }{14} \\ \\ 
x=6 \\ x=- \frac{8}{7} 
$

Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

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