Determine the values of a, b, and c for the quadratic equation

3x2−5x+6=0

Answer: C:10

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passes through A(-2,8) and B(4,14) will be :

[tex]y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)[/tex]

[tex]\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10[/tex]

For y-intercept , put x= 0 , we get y= 10

So, the y-intercept = 10

Thus , correct option = C:10

Answer:

Given:

Sebastian :

Principal(invested)= $7,100

Rate of interest=  8.14% compounded monthly

Eva:

Principal(invested)= $7,100

Rate of interest= 8.12% compounded continuously

Step-by-step explanation:

After 5 years,

In Sebastian case:

Amount= Principal*[tex](1+R/100)^{t}[/tex]

Amount = 7100*[tex](1+8.14/100)^{12*5}[/tex]

Amount= 7100*[tex]1.0814^{60}[/tex]

Amount=7100*109.4415

Amount= $777,034.43

In Eva case,

Amount= Principal*[tex]e^{Rt/100}[/tex]

Amount = 7100*[tex]e^{0.0812*12*5\\}[/tex]

Amount= 7100*130.5818

Amount= $927,130.92

Difference between their money=$927,130.92-777034.43

                                                 =$150,096.49

Eva has $150,096 more money than Sebastian.

Answer:

80

Step-by-step explanation:

Answer:

The correct answer is ^4sqrt24x^3/2x or B on edge.

hope this helps!!:)

Step-by-step explanation:

Answer:

28.274

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

do 140 times .25 to get 35

Answer:

25% of 140 is 35

Step-by-step explanation:

Hope this helps!

Answer:

C. 360 cm²

Step-by-step explanation:

scale factor: 1:3

area = 3² times

40 x 9 = 360

Answer:

it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.

Step-by-step explanation:

Answer:

2p+3q

Step-by-step explanation:

3p+7q-p-4q

2p+3q

hope it is helpful

Answer: 33

Step-by-step explanation:

a + b/c = 24 + 36/4 = 24 + 9 = 33

Answer:

33

Step-by-step explanation:

33 is the answer because when you have 24 + 36/4, 36 / 4 = 9, so the equation would become 24 + 9, and that's how you get 33

Answer:

The answer tot he question provided is 25.

Answer:

A. 5x+y+3

Step-by-step explanation:

to combine like terms you get the numbers that have the same variable. you will combine 2x and 3x and to combine them you add them 2x+3x and it equals 5x. you will do the same for the numbers left... -2y and 3y = 1y or y and 3 is left so we dont do nothing and after you do that you will put it in an equation variables go first and you order them in alphabetical order so 5x will go first then y and lastly the 3

Answer:

9.913 × 108

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Remember, the sum of all the angles in a triangle equals 180 degrees.

Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).

So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:

[tex]73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=\frac{30}{6}\\x=5[/tex]

Answer:

101

Step-by-step explanation:

6 - 5 = 1

1+100=101

k=101

Sorry if I'm incorrect

Answer:

Son's age = 24 years

Man's age = 48 years

Step-by-step explanation:

Let's take the age of son as x

Man's age = 2x

Twelve years ago,

Son's age= x-12

Man's age= 2x-12

Man is three times as old as his son so,

[tex] \frac{2x - 12}{x - 12 } = \frac{3}{1} [/tex]

Solving for x,

2x-12(1) = x-12(3)

2x-12 = 3x-36

2x-3x = -36+12

-x = - 24

x = 24

So if we substitute the values we get,

Son's age = 24 years

Man's age = 48 years

Hope you understand :)

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the present age of father be ' x ' years and that of the son be ' y ' years. From the first condition ,

From the second condition ,

Substituting the value of x from equation ( i ) in equation ( ii ) :

[tex] \sf{2y - 12 = 3(y - 12)}[/tex]

Solve for y ( age of the son ) :

⟿ [tex] \sf{2y - 12 = 3y - 36}[/tex]

⟿ [tex] \sf{2y - 3y = - 36 + 12}[/tex]

⟿ [tex] \sf{ - y = - 24}[/tex]

⟿ [tex] \sf{y = 24}[/tex]

Now , Substituting the value of y in equation ( i ) , we get :

[tex] \sf{x = 2 \times 24}[/tex]

⟿ [tex] \sf{x = 48}[/tex]

So, the present age of the father is 48 years and that of the son is 24 years.

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

45 students

Step-by-step explanation:

40+40=80   40/2=20   80+20=100

18+18=36      18/2=9       36+9=45

horrible explaining but hope it helps :)

Answer:

45

Step-by-step explanation:

18 ÷ 45 = 0.4 = 40%

13 i thin kaaks si s jd fj nojxiiubscnhubsuind

Answer: 54/4 or 13 2/4

Step-by-step explanation: So first you have to make both fractions into improper fractions. So 15(4)+3=63 over the denominator which is 4. And 2(4)+1=9 over the denominator which is 4. Then subtract the two fractions: 63/4-9/4, and since the two denominators are the same you keep it as 4. So the answer would be 54/4 or if you need it to be a mixed number, 13 2/4.

Answer:

T = 2300 + 250q

Step-by-step explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q

Answer:

City A:

[tex]A - 3[/tex]

City B:

[tex]B - 8[/tex]

City B has a greater change in temperature.

Step-by-step explanation:

City A:

Let the initial temperature of city A at 8 AM = [tex]A\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 4[tex]^\circ F[/tex] rise

Temperature at 9 AM = [tex](A+4)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 7[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](A+4 -7 )\ ^\circ F = (A-3)\ ^\circ F[/tex]

Total change in temperature = [tex](A - 3) - A = 3\ ^\circ F[/tex] drop

City B:

Let the initial temperature of city B at 8 AM = [tex]B\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 6[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 2[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6 -2 )\ ^\circ F = (B-8)\ ^\circ F[/tex]

Total change in temperature = [tex](B - 8) -B = 8\ ^\circ F[/tex] drop

Therefore, the answer is:

City B has a greater change in temperature.

Answer:

4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)

7x +12 =180  (combine like terms on left side, and subtract 12 from both sides)

7x = 168 (divide both sides by 7 to isolate x)

x= 24

angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)

..................96 +10

angle 1 = 106 degrees (the measure of the first angle)

angle 2 = 3(24) +2

..................72 +2

angle 2 = 74 (the measure of the second angle)

106 +74 =180 (the two add up to 180, so they're supplementary)

Step-by-step explanation:

I hope this helps :)

Answer:

1) Solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

Step-by-step explanation:

1) (3x + 5)(2x - 3). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](3x + 5)(2x - 3)[/tex]

First: 3x(2x)

Outer: 3x(-3)

Inner: 5(2x)

Last: 5(-3)

Solving we get:

[tex](3x + 5)(2x - 3)\\=3x(2x)+3x(-3)+5(2x)+5(-3)\\=6x^2-9x+10x-15\\=6x^2+x-15[/tex]

So, solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) (x + 2)(x – 13). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](x + 2)(x -13)[/tex]

First: x(x)

Outer: x(-13)

Inner: 2(x)

Last: 2(-13)

Solving we get:

[tex](x + 2)(x - 13)\\=x(x)+x(-13)+2(x)+2(-13)\\=x^2-13x+2x-26\\=x^2-11x-26[/tex]

So, solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) (x + 5)^2. Solve using the square of Binomial.

The square of binomial is: [tex](a+b)^2=a^2+2ab+b^2[/tex]

Solving:

[tex](x+5)^2\\=(x)^2+2(x)(5)+(5)^2\\=x^2+10x+25[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) (x -3)^2. Solve using the square of Binomial.

The square of binomial used is: [tex](a-b)^2=a^2-2ab+b^2[/tex]

Solving:

[tex](x-3)^2\\=(x)^2-2(x)(3)+(3)^2\\=x^2-6x+9[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

x = 63; y = 27

Step-by-step explanation:

x + 117 = 180

x = 180 - 117

x = 63

x + y = 90

63 + y = 90

y = 90 - 63

y = 27

Bam! UwU

Lol Hope this helps !

That is a question about angles.

There are two informations in that image that we should to note:

With these two informations we can solve that question. The first step is solve the second equation, and we will find the x value. Finally, we change the x value in the first equation and we find the y value. Let's solve the equations:

[tex]x + 117 = 180\\x = 180 - 117\\x = 63[/tex]

So, the value of x is 63°. Let's replace the x value in the first equation.

[tex]x+y = 90\\63 + y = 90\\y = 90 - 63\\y = 27[/tex]

Thus, the value of y is 27°.

Therefore, the correct option is the option says x = 63°, y = 27°.

I hope I've helped. :D

Enjoy your studies. \o/

Answer:

think its x=3 hope it helps

Answer:

The answer is 5 1/4 liters in 1 hour.

Step-by-step explanation:

If Ben drinks 3 1/2 liters of tea in only 2/3 of a hour, this is how you calculate it. First of all, Ben is not a human being, like who can drink 3 and a half liters of tea in under a hour. To calculate how much Ben drinks in a hour, first multiply both fractions by 3, you will get 10 1/2 liters in 2 hours. Then, divide both fractions by 2, in which you will get 5 1/4 liters in 1 hour. That's your answer!

Answer:

21/4

Step-by-step explanation:

Divide the two numbers

3 1/2 =7/2 as a improper fraction

7/2 divided by 2/3

7/2 times 3/2

21/4 or 5 1/4

Answer:

27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.

Same with 19.37 and 21.63, it adds up to 40.00

The answer to all of this would be 101.00

Answer:

below explained

Step-by-step explanation:

Answer:

angle A is 75:the four corners are 90 degrees so 75+15 is 90 and is looks like A is the same.

angle C is 55:180-125=55

Angle D is 90-15 so think its 75?

Step-by-step explanation:

im probably wrong but maybe not?

Answer:

35w^3 + 44w

Combine Like Terms:

= 35w + 9w + 35w^3 + 25w^3 - 25w^3

= (35w^3 + 25w^3 - 25w^3) +(35w + 9w)

= 35w^3 + 44w

Hope this is right ♡

Answer:

68/100*92= 62.56

No abbi does not pass exam.

Answer:

Yes that is correct

Step-by-step explanation: