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2 years ago

What is the slope of the line? y - 4= -7(x-6) Choose 1 answer: 1 А. 7 4. B 7 --7 2 3

Mathematics

1 answer:

givi [52]2 years ago

3 0

Step-by-step explanation:

the slope is always the factor of x.

in slope intercept form, as well as here in point slope form.

the important thing is that the y term is just brought to a simple positive y form (and not cy with c is different than 1).

and then, what you see on the other side as factor is x is the slope.

here : -7

the other numbers in the equating are irrelevant for the slope. they determine the "offset" of the line from (0, 0).

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What is the value of x?

N76 [4]

Answer:

x=5

Step-by-step explanation:

$\frac{x}{30}=\frac{4}{24}$

$\frac{x}{30}=\frac{1}{6}$

$x=\frac{1\times30}{6}$

$x=\frac{30}{6}$

$x=5$

6 0

3 years ago

A snail sets out on a 3 3/5 -mile journey, traveling at a speed of 2/65 miles per hour. a. How many hours will the journey take?

fiasKO [112]

Answer:a)117 hours b)4.875days.

Step-by-step explanation:

Using the formula

Speed =Distance / Time

Given Distance = 3 3/5 -mile

and Speed=2/65 miles per hour.

Time =Distance / Speed

Time = (3 3/5)/(2/65)

Time =18/5÷2/65

Time =18/5 x 65/2 =117 hours

Now 24 hours =1 day

therefore 117hours =(117hours x 1 day )/ 24 =4.875days.

3 0

3 years ago

What is the vertex of y = x2 + 2x +2<br> O (1,-1)<br> O (2,-2)<br> O (1, 2)<br> 0 (-1, 1)

fredd [130]

Answer:

vertex = (- 1, 1 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - $\frac{b}{2a}$

y = x² + 2x + 2 ← is in standard form

with a = 1 and b = 2 , then

x = - $\frac{2}{2}$ = - 1

substitute x = - 1 into the equation for y- coordinate of vertex

y = (- 1)² + 2(- 1) + 2 = 1 - 2 + 2 = 1

vertex = (- 1, 1 )

8 0

2 years ago

The number of bacteria after t hours is given by N(t)=250 e^0.15t a) Find the initial number of bacteria and the rate of growth

Art [367]

Answer:

a) $N_0=250\; k=0.15$

b) 334,858 bacteria

c) 4.67 hours

d) 2 hours

Step-by-step explanation:

a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.

Another way to see that is the following:

Initial number of bacteria is N(0), which implies $t=0$ . And $N(0)=N_0$ . The process is:

$N(t)=250 e^{0.15t}\\N(0)=250 e^{0.15(0)}\\ N_0=250e^{0}\\N_0=250\cdot1\\ N_0=250$

b) After 2 days means $t=48$ . So, we just replace and operate:

$N(t)=250 e^{0.15t}\\N(48)=250 e^{0.15(48)}\\ N(48)=250e^{7.2}\\N(48)=334,858\;\text{bacteria}$

c) $N(t_1)=4000; \;t_1=?$

$N(t)=250 e^{0.15t}\\4000=250 e^{0.15t_1}\\ \dfrac{4000}{250}= e^{0.15t_1}\\16= e^{0.15t_1}\\ \ln{16}= \ln{e^{0.15t_1}} \\ \ln{16}=0.15t_1 \\ \dfrac{\ln{16}}{0.15}=t_1=4.67\approx 5\;h$

d) $t_2=?\; (N_0→3N_0 \Longrightarrow 250 → 3\cdot250 =750)$

$N(t)=250 e^{0.15t}\\ 750=250 e^{0.15t_2} \\ \ln{3} =\ln{e^{0.15t_2}}\\ t_2=\dfrac{\ln{3}}{0.15} = 2.99 \approx 3\;h$

6 0

3 years ago

Chan is filling a box with 1-inch cubes. He filled the bottom layer as shown. Chan wants to completely fill the box. How many cu

IceJOKER [234]

The answer is D 174 cubes.

3 0

2 years ago

What is the slope of the line? y - 4= -7(x-6) Choose 1 answer: 1 А. 7 4. B 7 --7 2 3​

What is the slope of the line? y - 4= -7(x-6) Choose 1 answer: 1 А. 7 4. B 7 --7 2 3