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3 years ago

. The table shows the number of miles driven over time.

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

Answer: First option.

Step-by-step explanation:

You can find the rate by finding the slope.

The slope can be calculated with the following formula:

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

Then, you must choose two points from the table, substitute them coordinates into the formula and then evaluate.

Choosing the points (4,204) and (10,510), you can identify that:

$y_2=204\\y_1=510\\\\x_2=4\\x_1=10$

Making the substitution into the formula, you get that the slope is:

$m=\frac{204-510}{4-10}\\\\m=\frac{-306}{-6}=\frac{51}{1}$

Therefore, based on the unit rate obtained, you can conclude that your car travels 51 miles every 1 hour.

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The population of a city is expected to

Furkat [3]

$\huge\boxed{1.0925p}$

Since the population is going to increase by a certain percentage, we have to add $100\%$ to the percentage to keep the original population.

$9.25\%+100\%=109.25\%$

Now, convert the percentage into a decimal. You can do this by moving the decimal place two places to the left.

$109.25\longrightarrow 1.0925$

Now, just multiply that by $p$ .

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8 0

3 years ago

What multiplies to 16 and adds to negative 12

Romashka-Z-Leto [24]

Factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm

we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

0=x^2+12x+16
a=1
b=12
c=16

x= $\frac{-12+/- \sqrt{12^{2}-4(1)(16) }}{2(1)}$
x= $\frac{-12+/- \sqrt{144-64 }}{2}$
x= $\frac{-12+/- \sqrt{80}}{2}$
x= $\frac{-12+/- 4\sqrt{5}}{2}$
x= $\frac{-6+/- 2\sqrt{5}$
x= $\frac{-6+ 2\sqrt{5}$ or $\frac{-6- 2\sqrt{5}$

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

6 0

3 years ago

Read 2 more answers

Question 15 of 43

Andrews [41]

Answer:

Option A

Step-by-step explanation:

$\frac{12}{25} \times \frac{11}{24} \times \frac{10}{23} \times \frac{9}{22}$