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3 years ago

What is the ordinate of the point where the graph of the equation y = 5x + 2 crosses the y-axis?

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Answer:

(0,2)

Step-by-step explanation:

in any y = mx + b formula, b is always the y intercept, and the y intercept is just a fancy name for where the line first crosses the y axis. hope this helps!

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A town has a population of 19000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop

steposvetlana [31]

Answer:

If the population grows by 4% each year then

the population in any given year is 104% of

the previous year or 1.04 times as much

P(t) = P0(1.04)t

P(t) is population at time t years

P0 = initial population = 11,000

t = number of years = 15

P(15) = 11,000(1.04)15

P(15) = 19,810 people

Step-by-step explanation:

3 0

3 years ago

For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).

Luba_88 [7]

Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

$\frac{12}{x} *-8x^{3}$

$=-96x^2$

Domain: (-∞, 0) U (0, ∞)

7 0

2 years ago

5/6 = 1/3+d and x/x is a fraction

Alik [6]

$\dfrac{1}{3}+d=\dfrac{5}{6}\qquad|-\dfrac{1}{3}\\\\d=\dfrac{5}{6}-\dfrac{1}{3}\\\\d=\dfrac{5}{6}-\dfrac{1\cdot2}{3\cdot2}\\\\d=\dfrac{5}{6}-\dfrac{2}{6}\\\\d=\dfrac{5-2}{6}\\\\d=\dfrac{3}{6}\\\\d=\dfrac{3:3}{6:3}\\\\\boxed{d=\dfrac{1}{2}}$

7 0

3 years ago

A prism has a right triangle as its base.

gavmur [86]

Answer:

168 cm³

Step-by-step explanation:

The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.

So, the third side of the triangle = $\sqrt{10^{2}-6^{2} }=8$ cm.

{Since we have applied the Pythagoras theorem.}

Hence, the area of the base triangle is $\frac{1}{2} \times 8 \times 6 = 24$ cm².

Therefore, the volume of the prism is = $24\times 7=168$ cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}

(Answer)

3 0

4 years ago

8×25×23 find the product then subtract

Nitella [24]

Well 8x25x23 = 4,600 but what do you need to subtract by?

8 0

4 years ago