Points M (2, 9) and N (-1, 3) are on a line with y-intercept 5. What is the equation of the line?

-92

Step-by-step explanation:

If a quadratic equation has the following form:

[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]

then its discriminant D is defined as

[tex]D = b^2 - 4ac[/tex]

In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is

[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]

Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:

[tex]D > 0,\;\;[/tex] there will be 2 real roots

[tex]D = 0,\;\;[/tex] there will be 1 real root

[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots

Hence our given quadratic equation will not have any real roots but only imaginary ones.

Answer:

54mile equal to 81km

8mile equal to 12km

Answer:

67 hamburgers

Step-by-step explanation:

In order to find the answer to this question, you must do the following equation:

44÷2/3. The answer to this is 66.

Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!

So, the cook can make 67 hamburgers.

Answer

$540

Step-by-step explanation:

hopes this helps

Step-by-step explanation:

Least to greatest

= 0.919, 0.99, 1.09

Answer:.919,099,1.09

Step-by-step explanation:

Answer:

mmmmmmm

Step-by-step explanation:

n

Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.

The amount of mulch is given as:

[tex]Bag = 2\frac 34[/tex]

The area covered by each bag is given as:

[tex]Area = 235.5ft^2[/tex]

If she uses all bags, the total area covered by the bags is:

[tex]Total = Bag \times Area[/tex]

So, we have:

[tex]Total = 2\frac 34 \times 235.5ft^2[/tex]

Rewrite the fraction as an improper fraction

[tex]Total = \frac {11}4 \times 235.5ft^2[/tex]

This gives

[tex]Total = \frac {2590.5}4 ft^2[/tex]

[tex]Total = 647.625 ft^2[/tex]

Hence, she will be able to cover a total area of 647.625 square feet

Read more about areas at:

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Answer:

Step-by-step explanation:

A = 8(14) - 5(14 - 5 - 2) = 77 m²

Answer:

77m (squared)

Step-by-step explanation:

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)[tex]e^{.015*t}[/tex]

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = [tex]e^{.015*t}[/tex]

ln A/500 = ln[tex]e^{.015*t}[/tex]

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!

Answer:

1399/200 699.5%

Step-by-step explanation:

1. 6.995 is already a decimal.

2. As a fraction it is [tex]\frac{1399}{200}[/tex] and as an improper fraction it would be 6  [tex]\frac{199}{200}[/tex].

3. As a percent it would be 669.5%.

Answer:

6 bananas

Step-by-step explanation:

2 ÷ 0.30 = 6.6 repeating so 6 bananas

Answer:

  11 million

Step-by-step explanation:

20 -12 +3 = 11

There will be 11 million shares of stock in the treasury.

The water level will be dropping at the rate of [tex]0.64 cm/sec[/tex] when the height of the water reaches [tex]3cm[/tex]

We are give a cone with dimensions as seen in the diagram in the attached image.

The volume changes at the rate

[tex]\frac{dV}{dt}=-2cm^2/sec[/tex]

the negative sign is used because the volume of water is reducing.

what we need to know is the rate the height is changing when [tex]h=3cm[/tex]. That is, we need to evaluate

[tex]\frac{dh}{dt}|_{h=3cm}[/tex]

The relationship between the volume and the height is given by

[tex]V=\frac{1}{3}\pi r^2h[/tex]

but both [tex]h[/tex] and [tex]r[/tex] are changing when [tex]V[/tex] changes. So we need to eliminate [tex]r[/tex] somehow. From the diagram, we can use the similar triangle property to accomplish this

[tex]\frac{r}{2}=\frac{h}{6}\\\\\implies r=\frac{h}{3}[/tex]

substitute into the volume formula to eliminate [tex]r[/tex]

[tex]V=\frac{\pi h^3}{27}[/tex]

differentiate both sides with respect to time, [tex]t[/tex], since both the volume and height are functions of time. They will both be differentiated implicitly

[tex]\frac{dV}{dt}=\frac{\pi h^2}{9}\frac{dh}{dt}[/tex]

to find [tex]\frac{dh}{dt}|_{h=3cm}[/tex], substitute the values for [tex]\frac{dV}{dt}[/tex] and [tex]h[/tex]

[tex]-2=\frac{\pi 3^2}{9}\frac{dh}{dt}\\\\\frac{dh}{dt}=-\frac{2}{\pi}\\\\\approx -0.64 cm/sec[/tex]

So the rate at which the height is reducing when it reaches [tex]3cm[/tex] is [tex]0.64cm/sec[/tex]

Learn more about related rate of change here: https://brainly.com/question/15576763

Answer:

-0.2

Step-by-step explanation:

pls give me brainliest if possible

Answer:

The 31st term is 283

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

[tex]an = a1 + (n - 1)d[/tex]

a31 = 13 + ( 31-1 ) 9

a31 = 13 + 270

a31 = 283

1)   Circumference:  C = D × π = 40 × 3.14 = 125.6

     Area:  [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]

2)  Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm

     Area:  [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]

    ok done. Thank to me :>

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

Answer: P and U

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

perimeter is twice the sum of the two adjacent sides

p = 2(x + (2x³ - 3x + 4))

p = 2(2x³ - 2x + 4)

p = 4x³ - 4x + 8

According to the information provided the statement of both people is incorrect (option D)

Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:

On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:

According to the above, none of the statements of the characters is true.

Learn more about mathematics in: https://brainly.com/question/19003099

Answer:

Neither statement is correct

Step-by-step explanation:

Got it right on Khan Academy

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]

so we're really looking for the line of a slope of 3/5 and passing through (0,-3)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]

Answer:

256, -1024, 4096, -16384

i think that's it

it's being multiplied by -4 (geometric)

Answer:

y = x/3 - 6

Step-by-step explanation:

yeah-ya......... right?

Answer:

See image

Step-by-step explanation:

This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.

So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.

The Add exponents rule and Subtract are 100% correct.

The expressions are matched to the method needed to evaluate as shown below.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The first expression is 5³ × 5³.

Multiplication rule of exponents states that,

xᵃ × xᵇ = xᵃ⁺ᵇ

That is we add the exponents.

So, 5³ × 5³ = 5³⁺³ = 5⁶

The next expression is (7²)³.

We have the rule, (xᵃ)ᵇ = xᵃᵇ

So, here, multiply the exponents.

(7²)³ = 7⁶

(4x³)⁵

We can write it as,

(4x³)⁵ = 4⁵ . (x³)⁵

That is write is as product of the powers.

Division rule of exponents states that,

xᵃ / xᵇ = xᵃ⁻ᵇ

6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴

So, subtract the exponents.

Hence the expressions are matched.

Learn more about Exponents here :

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#SPJ2

Answer:

16 - 4 = 7 + 6

Step-by-step explanation:

16 - 4 = 12

7 + 6 = 13

Answer:

It seems like the answer would be 21 students.

Step-by-step explanation:

5 times 3 is 15 so 15 girls

2 times3 is 6 so 6 boys

15+6=21

I hope this helps :))

Answer:

Surface area = 6l^2

Volume = l^3

If total surface area increased by 2, then the length increased by [tex]\sqrt{2}[/tex]

Volume then is increased by ([tex]\sqrt{2}[/tex]l)^3 = 2[tex]\sqrt{2}[/tex]l^3

1 :2 [tex]\sqrt{2}[/tex]

Which is not an option in the question so this question clearly has a problem.

First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.

Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.

Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width"  But, then the the shape would no longer be a cube.

Who even wrote this garbage question what.