Please help me with this quadratic equation question! I always give out 5 stars, thanks and brainliest to people that help me with a good explanation.

Find the values of p and q given that 12x² - 13x - 7175 = (x-p) (qx + 287)

Answers

Answer 1

Answer:

[tex]p=25,\\q=12[/tex]

Step-by-step explanation:

In [tex](ax+b)(cx+d)=acx^2+bcx+dax+bd[/tex], notice the third term of the quadratic in standard form is formed entirely by [tex]b\cdot d[/tex].

Therefore, in [tex]12x^2 - 13x - 7175 = (x-p) (qx + 287)[/tex]:

[tex]-p\cdot287=-7175,\\-p=\frac{-7175}{287},\\p=\fbox{$25$}[/tex].

Now that we found [tex]p[/tex], we must find [tex]q[/tex]. The first term of the quadratic in standard form is formed entirely by [tex]ax\cdot cx[/tex]. Therefore:

[tex]1\cdot q=12, \\q=\fbox{$12$}[/tex].


Related Questions

In the diagram below, AB and BC are tangent to O. What is the measure of
AC?

Answers

Answer: D. 112°

Step-by-step explanation: Just answered it...

The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.

What is circle?

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The line segment AB and BC are the tangents drawn to the circle,

The measure of angle CBA, ∠ CBA = 68°,

The measure of the major arc, AC = 248°,

Calculate the measure of the minor arc as shown below,

∠ CBA = Major arc - minor arc / 2   (Tangent circle theorem)

68 = 248 - AC / 2

68  × 2 = 248 - AC
136 = 248 - AC

AC = 248 - 136

AC = 112°

Thus, the measure of arc AC is 112°

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pls help me with this problem!!!!

Answers

Answer: 55°

Step-by-step explanation:

∠YAZ + ∠YAX = 180° because they are linear pairs

∠YAZ + ∠YAX = 180°

∠YAZ + 125 = 180

Subtract both sides by 125

∠YAZ = 55°

Hope that helped!

-32=-4b
show work please

Answers

Answer: b = 8

Step-by-step explanation: You have to divide (-4) on both sides and -32/-4= 8 so b =8

Answer:

Step-by-step explanation:

-32=4b

divide -4 by both sides

-4/-4=1

-32/-4=8

therefore, b=8

please help me solve correct one gets Brainliest -6x+30

Answers

Answer:

Factor −6x+30

−6x+30

=6(−x+5)

Step-by-step explanation:

That's all there is

I need help with this, asap!!!

Answers

The answer to this is d!

Answer: D

Step-by-step explanation:

The 45°-45°-90° right triangle is also sometimes referred as an isosceles right triangle because it has two equal side lengths and two equal angles.

If my answer was helpful then please mark me brainliest.

answer please
.........​

Answers

Hey there!

The perimeter of the floor plan is 30 inches.

Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30

The area of the floor plan is 54 inches²

Area is length x width, so we can do 9 x 6 = 54

The perimeter of the actual size is 105 feet

First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:

9 x 3.5 = 31.5 feet

6 x 3.5 = 21 feet

Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105

The area of the actual size is 661.5 inches²

Area is length x width, so we can do 31.5 x 21 = 661.5

Hope this helps! Tell me if you need more help.

Pierre had $42 before he paid his club dues. Evaluate the expression 42 − d for d = 25 to find how much money Pierre had left after he spent $25 on dues.

Answers

Answer:

$17

Step-by-step explanation:

This is simply stated as a function.

We can rewrite this problem out as --> f(d) = -d + 42

If we simply say that he spent d, the problem states that d is equivalent to 25.

So the function looks like this --> f(d) = -25 + 42

Therefore your answer becomes --> f(d) = 17

8•1 and 8
pls need help ASAP​

Answers

Answer: Yes the two expressions are equal because 8 times 1 is 8

8 = 8

Step-by-step explanation: hope this helps

CAN SOMEONE PLEWSE HELP ME WITH THE TOP 3

Answers

Answer:

kklkjdflkjsdlkfskldjfdlkjf

Step-by-step explanation:

kljoj;klkjlslkdfjlksdjkldjflzkj

help me so much rn plz plz

Answers

Answer:

5(9+x)

Step-by-step explanation:

5 x 9 = 45

then if do 5 times x it would look like 5x

The answer for this is 45

While on a business trip to Brookfield, Haley treated her co-workers to a meal that cost $50. Haley knew that when the bill came, she would need to pay Brookfield sales tax of 14% and would want to leave an 18% tip on the original $50. Including tax and tip, how much did Haley's meal cost?

Answers

Answer:

$66

Step-by-step explanation:

The meal cost $50 without taxes.

The cost of tax:

$50*%14= $7

so she will pay a $7 tax

Also, she wants to tip %18 of the original $50 so:

$50*%18= $9

so she will tip $9

$50 + $7 + $9 = $66

Which conversion is correct?

Question 12 options:

.15, 15%, 1/4


.70, 7%, 3/4


.25, 20%, 1/4


.75, 75%, 3/4

Answers

.75 75% 3/4 is the correct answer

What is the solution to the system of equations?
y = x +3
X=-2

Answers

Answer: i don’t know

Step-by-step explanation:

Its pretty easy if you are good at math! Please help!

Answers

Step-by-step explanation:

Explanation:

The trick is to know about the basic idea of sequences and series and also knowing how i cycles.

The powers of i will result in either: i, −1, −i, or 1.

We can regroup i+i2+i3+⋯+i258+i259 into these categories.

We know that i=i5=i9 and so on. The same goes for the other powers of i.

So:

i+i2+i3+⋯+i258+i259

=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)

We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.

=65(i)+65(i2)+65(i3)+64(i4)

From here on out, it's pretty simple. You just evaluate the expression:

=65(i)+65(−1)+65(−i)+64(1)

=65i−65−65i+64

=−65+64

=−1

So,

i+i2+i3+⋯+i258+i259=-1

Line ET is tangent to circle A at T, and the measure of arc TG is 46°.
What is the measure of ∠GET?

A: 44°
B: 136°
C: 67°
D: 90°

Answers

Answer:

[tex] m\angle GET = 67\degree [/tex]

Step-by-step explanation:

[tex] m\angle GET = \frac{1}{2} \times \bigg(m\widehat {TN} - m\widehat {TG} \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(180\degree - 46\degree \bigg) [/tex]

[tex] m\angle GET = \frac{1}{2} \times \bigg(134\degree \bigg) [/tex]

[tex] m\angle GET = 67\degree [/tex]

PLEASE HELP FAST !!!

What is the equation of the line in slope-intercept form?

Answers

Answer:

y =  4/3x + 4

Step-by-step explanation:

I need help in this
Thanks

Answers

Answer:

2 meter under water

first one

Answer:

The first one, 2 meters.

Step-by-step explanation: 5 meters-3 meters = 2 meters.

write an equation for the line in slope-intercept form​

Answers

Answer:

y = -3/1x + 2

Step-by-step explanation:

1. Find the slope

The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.

y2-y1/x2-x1

2-5/0-(-1) = -3/1

2. Find the y-intercepy

y = mx + b

You can use any x or y point. I'll use (-1,5)

m= slope, which is -3/1

5= -3/1(-1) +b

5= 3 + b

Subtract 3 from 5 and 3 to get 2=b.

3. Rewrite in slope-intercept form

y = -3/1x + 2

Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The counts are shown in the table below. Which proportion would predict the number of jazz songs he has stored on his MP3 player? Listening Samples from Mr. McElroy’s MP3 Player Sample 1 Sample 2 Country 5 Country 3 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 5 StartFraction 6 over 20 EndFraction = StartFraction x over 2000 EndFraction StartFraction 3 over 20 EndFraction = StartFraction x over 2000 EndFraction StartFraction 2 over 4 Endfraction = StartFraction x over 2000 EndFraction StartFraction 3 over 40 EndFraction = StartFraction x over 2000 EndFraction

Answers

your answer should be x/2000 = 6/20

Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin

Answers

Answer:  Brian gets $39.2 more over Colin.

Step-by-step explanation:

Given: Total tip amount = £78.40

The ratio of the share of tips for Pawl, Colin and Bria  is 2:1 :5.

Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x

Then, 2x+x+5x= 78.40

[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]

Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49

Difference = $(49-9.8) = $ 39.2

Hence, Brian gets $39.2 more over Colin.

Solve each equation with the quadratic formula. (Show work please)

Answers

Answer:

Let b=x

Such that b^2 =8b-8 will x^2=8x-8

Using the almighty quadratic formula

x1={-b+sqrt (b^2-4ac)}/2a

x2={-b-sqrt (b^2-4ac)}/2a

From the question

a=1

b=8

c=-8

x1={-8+sqrt (8^2-4(-8))}/2

x1=(-8+5.66)/2

x1=-1.17

x2={-8-sqrt (8^2-4(-8))}/2

x2=(-8-5.66)/2

x2=-6.83

:.(x1,x2)=(-1.17,-6.83)

Step-by-step explanation:

The figure to the right has its congruent segments marked. Find the measure of AB.

AB=__ meters

Answers

Answer:

the measure of AB =29 meters

Answer:

the guy above me is wrong its 13

Step-by-step explanation:

Whats 7x444444444444444444444444444444444444444444444

Answers

chicken biscuits and syrup

An aircraft flies at a speed of 480 miles per hour. It takes the aircraft t hours to reach its destination.
Which of the following equations can be used to find the number of hours it takes the aircraft to reach a destination that is 1200
miles away?
A 1200t=480
B480+1200=t
C480t=1200
D 480+t=1200

Answers

Answer:

A

Step-by-step explanation:

The equation 480t = 1200 can be used to find the number of hours an aircraft takes to reach a destination that is 1200 miles away.

The correct answer is option (C) 480t = 1200.

What is equation?

"An equation is a mathematical statement that is made up of two expressions connected by an equal sign."

Formula to calculate speed:

speed = distance / time

For given question,

An aircraft flies at a speed of 480 miles per hour and takes t hours to reach its destination.

Let d represents the distance(in miles) traveled by an aircraft in t hours with a speed of 480 miles per hour.

By using the formula of speed,

⇒ 480 = d/t

When destination is 1200 miles away.

This means d = 1200 miles.

⇒ 480 = 1200/t

480t = 1200                      .....................(Multiplying both the sides by t)

This equation can be used to find the number of hours it takes the aircraft to reach a destination that is 1200 miles away.

Therefore, option (C) is the correct answer.

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Find the volume of the figure. Round to nearest hundredth. *

Answers

Answer:

6 mi

Step-by-step explanation:

I think so it 6mi I need help

Kareem cannot decide which of two washing machines to buy. The selling price of each is ​$440. The first is marked down by 30​%. The second is marked down by 20​% with an additional 10​% off. Find the sale price of each washing machine. Use pencil and paper. Explain why Kareem should buy the first washing machine rather than the second if the machines are the same except for the selling price.

Answers

Step-by-step explanation:

The selling price is $495.

The first washing machine:

- is marked down by 30​%

$495 - 100%

$x - 100% - 30% = 70%

Find the value of x:

x=$495*0.7=$346.50=$347

The second washing machine:

- is marked down by 20​% with an additional 10​% off

$495 - 100%

$y - 100% - 20% = 80%

Find y:

Y=$495*0.8=$396

Now,

$396 - 100%

$z - 100% - 10% = 90%

Find z:

Z=$396*0.9=$356.40=$356

the sale price of the first washing machine is $347 and the sale price of the second washing machine is $356. The second machine is more expensive.

Answer:

The sale price of the first washing machine is $308

The sale price of the second washing machine is $317

SOMEONE DO NUMBER 10, 11 AND 12 FOR ME IM RUSHING AND ILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

10. He left at 6:45 and arrived at 7: 35. The time between 6:45 and 7:00 is 15 minutes and the time between 7:00 and 7:35 is 35 minutes. 15 + 35 is 50.

The answer is that it took Noah 15 minutes.

11. Right now the time on the clock is 8:00.  In 3 hours it will be 11:00. In 35 minutes it will be 11:35.

The answer for number 11 is 11:35.

12. The time on the clock is 5:45

what is the problem where women =evil?

Answers

1

ok that ok dffhbgufuodwrebygfshdhrfgtbhjdufyhg t

[tex] \underline{ \underline{ \text{Question}}} : [/tex]
In the adjoining figure , ABC is an isosceles triangle. BO and CO are the bisectors of [tex] \angle[/tex] ABC and [tex] \angle[/tex] ACB respectively. Prove that BOC is an isosceles triangle.

~Thanks in advance !

Answers

GiveN :-In the given figure , ABC is an isosceles triangle.BO and CO are the bisectors of [tex] \angle[/tex] ABC and [tex] \angle[/tex] ACB respectively.

To ProvE :-

∆ BOC is isosceles.

ProoF :-

Here it's given that ∆ABC is a isosceles triangle. We know that in a isosceles triangle opposite angles are equal. And the angles opposite to equal sides are also equal.

Hence here ,

AB = AC ∠ ABC = ∠ACB .

Figure :-

[tex] \setlength{\unitlength}{1 cm}\begin{picture}(12,12)\put(0,0){\line(1,0){4}}\put(4,0){\line(-1,2){2}}\put(0,0.001){\line(1,2){2}}\put(0,0.01){\line(1,1){2}}\put(3.99,0){\line(-1,1){2}}\put(0,-0.3){$\bf B $}\put(4,-0.3){$\bf C$}\put(2,4.2){$\bf A$}

\put(1.8,2.2){$\bf o$}\end{picture}[/tex]

If LaTeX doesn't work on app kindly see the attachment .

Here we will use a theorem which is ,

[tex]\large\underline{\underline{\textsf{\textbf{\red{\blue{$\leadsto$} Theorem :- }}}}}[/tex]

Sides opposite to equal angles are equal.

Hence here,

[tex]\tt:\implies \angle ABC =\angle ACB \\\\\tt:\implies \dfrac{1}{2}\times \angle ABC = \dfrac{1}{2}\times \angle ACB \\\\\tt:\implies \boxed{\bf \blue{\angle OBC = \angle OCB} }[/tex]

Now in ∆OBC , we can see that ∠OBC = ∠OCB. (just proved ) . Hence we can say that sides OB and OC are equal. Since the sides opposite to equal angles are equal. Therefore in ∆OBC , two sides are equal.

Therefore OBC is an isosceles triangle.

Hence Proved !

Answer:

See Below.

Step-by-step explanation:

We are given the isosceles triangle ΔABC. By the definition of isosceles triangles, this means that ∠ABC = ∠ACB.

Segments BO and CO bisects ∠ABC and ∠ACB.

And we want to prove that ΔBOC is an isosceles triangle.

Since BO and CO are the angle bisectors of ∠ABC and ∠ACB, respectively, it means that ∠ABO = ∠CBO and ∠ACO = ∠BCO.

And since ∠ABC = ∠ACB, this implies that:

∠ABO = ∠CBO =∠ACO = ∠BCO.

This is shown in the figure as each angle having only one tick mark, meaning that they are congruent.

So, we know that:

[tex]\angle ABC=\angle ACB[/tex]

∠ABC is the sum of the angles ∠ABO and ∠CBO. Likewise, ∠ACB is the sum of the angles ∠ACO and ∠BCO. Hence:

[tex]\angle ABO+\angle CBO =\angle ACO+\angle BCO[/tex]

Since ∠ABO =∠ACO, by substitution:

[tex]\angle ABO+\angle CBO =\angle ABO+\angle BCO[/tex]

Subtracting ∠ABO from both sides produces:

[tex]\angle CBO=\angle BCO[/tex]

So, we've proven that the two angles are congruent, thereby proving that ΔBOC is indeed an isosceles triangle.

What is the range of the function graphed below?

Answers

Answer:

The range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Step-by-step explanation:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

From the given graph, we can easily observe the vertical extent of the graph is all range values  between -∞ and 2.

In other words,

The range of the function lies in the interval: ( -∞, 2)

Therefore, the range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

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