Mathematics High School

Formúla General
a) 4x²=9x-2=0

b) X²+8x-84=0
​

Answers

Answer 1

Answer: a) [tex]x=\dfrac{-9 \pm\sqrt{113} }{8}[/tex]

              b) x₁ = - 14; x₂ = 6.

Step-by-step explanation:

a) 4x² + 9x - 2 = 0

[tex]x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=4; \: \: b=9; \: \: c=-2\\x =\dfrac{-9 \pm \sqrt{9^{2}-4 \cdot 4 \cdot (-2) } }{2 \cdot 4} =\dfrac{-9 \pm\sqrt{113} }{8}[/tex]

b) x² + 8x - 84 = 0

[tex]x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x =\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1} =\dfrac{-8 \pm\sqrt{400} }{2}=\dfrac{-8 \pm 20}{2} =-4 \pm 10\\\\x_{1} =-14\\x_{2} =6[/tex]

Related Questions

y=-2/3x+1
how do you find the slope and y intercept

Answers

Answer:

The slope is -2/3 and the y intercept is 1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = -2/3 x+1

The slope is -2/3 and the y intercept is 1

if in a parallelogram diagonals bisect each other at right angle and are equal then it is a ___________​

Answers

I think this would make all the angles and sides equal, making it a square

how do I do this problem I'm doing test corrections and I have no idea how to do it ​

Answers

Answer:

i think its 3 but dont quote me

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9 can help in completing square formula

HELP ME ASAPPP

Write the standard equation of a circle with center (2, 1) and radius 8.

Answers

Answer:

C

=

(

a

,

b

)

the center coordinates of circle

a

=

2

 ,

b

=

−

1

  ,

r

=

8

Step-by-step explanation:

A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer

Volume = [tex] \sf{\pi r^2 h} [/tex]

[tex] = \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3} [/tex]

Greg and Carl work at neighborhood car wash facilities and are paid daily. Greg is paid $25 a day plus $7 for each car he washes. Carl earns the same amount per car washed, but his total earnings in a day are always $6 more than Greg's. Which equation expresses the total amount, t, that Carl earns, as a function of the cars he washes, c?
A)t=19+7c
B)t=25+7c
C)t=31+7c
D)t=25+13c

Answers

Answer:

Answer: It's easy, compare the same answers.

Step-by-step explanation:

A. 19+7= 16

B. 25+7= 32

C. 31+7= 38

D. 25+13= 38

help pleaseeee!!!!!! 30 points​

Answers

Answer:

Pen = y

25.00 + y

Step-by-step explanation:

expressions do not have equal signs.

25 more than the pen is 25 + y

the expression would be

25 + y

Answer:

we will say that x stands for the pen

x + $25 = cost of the pencil

Step-by-step explanation:

PLSSSSSSS HELP ILY TYSM

Answers

Answer:

5. k=−3

6.  x=4

7. n=−108

Step-by-step explanation:

5. -14k+29=71

Subtract 29 from both sides

-14k+29-29=71-29

Simplify

-14k=42

Divide both sides by -11

-14k/-14=42/-14

6. -33=19-13x

Subtract 29 from both sides

-14k+29-29=71-29

Simplify

-14k=42

Divide both sides by -14

-14k/-14=42/-14

Simplify

k=-3

7. 8+n/25=-4

Multiply both sides by 25

25(8+n)/25 = 25 (-4)

Simplify

8+n=-100

Subtract 8 from both sides

8+n-8=-100-8

Simplify

n=-108

Triangle EFG is dilated with a scale factor of 1/2 to create triangle E'F'G'.
The measure of angle G is 42 degrees. What is the measure of angle G'? *
a)21
b)42
c)84
d)148

Answers

it would stay as 42 degrees for G’. (when you dilate the measure of the angle never changes)

The blue line is the graph of y = –4x + 5. Use the sliders to make the orange line represent y = –2x + 3. Examine the graph. What is the solution of the system of these two equations?
(0, 5)
(1, 1)
(2, 2)
(3, 0)

Answers

-2x+3=-4x+5
2x=2
x=1
(1,1)

Answer:

1,1

Step-by-step explanation:

find the solution for X
3x - 5 = 7x + 11

Answers

Answer:

x=-4

Step-by-step explanation:

3x-5=7x+11    Add like terms

   +5     +5

3x=7x+16       Do it again...

-7x   -7x

-4x=16        Now divide

x=-4

Answer:

The answer is x=-4

Step-by-step explanation:

3x-5=7x+11

1) you have to move the number that has a variable with it onto one side(3x and +7x) and the numbers that do not have a variable move them onto the other side (-5 and +11),but if you move them you have to change the sign like the underlined numbers below

3x-7x=5+11

2) you have to subtract 3x and-7x which it equals  -4x and then you have to add 5 and 11 which it equals 16

Equation now -4x=16

3) you have to divide -4x into -4x and also divide -4x into 16 which you will get x=-4

Hope it helps out! :)

converting slope-intercept form into standard form, i’m so confused

Answers

Answer:

7x+2y=(-6)

Step-by-step explanation:

4) Justin had 32 coins in nickels and quarters. He had 8 more quarters than nickels. How many of
each type of coin did he have?

Answers

12 nickels and 20 quarters.

n + (q + 8) = 32
12 + (20 + 8) = 32
20 quarters and 12 nickels because 20 is 8 more than 12 and 20 plus 12 is 32. Soooo in conclusion the person above me is right I hope you have a great day

A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for 1 cup of flour? Exact answers only

Answers

Answer:

0.4

Step-by-step explanation:

Hopefully this can help


14. Shawn usually sells umbrellas for $20. On rainy days, he sells them for
30% more. What is the cost on a rainy day of buying a new umbrella? *
$14
$26
O $6
O $30

Answers

Answer:

$26

Step-by-step explanation:

MAY YOU PLEASE HELP ME

Answers

Answer: y=20x+10

Step-by-step explanation:mark me brainlest please

The price paid for
a $15 shirt after a
45% discount is
applied

Answers

Answer:

B

Step-by-step explanation:

Trust me

find the area cirlcle if the circle has a radius of 11 centimeters.

Answers

Answer:

380.133

Step-by-step explanation:

A = πr²

Hope this helps!

Pls 5 stars <3

A+B=44
A : B is equvililent to 13 :8
Please solve

Answers

Step-by-step explanation:

13:8A=13x. B=8x13x + 8x = 44 21x=44 x=2.095
13:18 is in simplest form, so it’s multiplied by something, let’s call it x

So A + B equals 13x + 8x

13x + 8x = 44
21x = 44
x =44/21

Plug in to check:
13(44/21) + 8(44/21) = 44
572/21 + 352/21 = 44
924/21 = 44
44 = 44 :)

HELP!!
Question 4 (1 point)
How likely is it for the spinner to land on a 3?

Impossible
Unlikely
Likely
Certain

Answers

Answer:

likely

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Helpeoepeoeoeo show work

Answers

IMPORTANT THIGNS TO REMEMBER:

Has 20 lb. dog food!Gives dog 1 3/5 everyday!Find how much eaten after 2 days!Find how much is left!

ANSWER:

Dog has eaten 3 1/5 after 2 days!

There is 16 4/5 left in bag!

EXPLANATION:

Since she gives 1 3/5 to her dog everyday and their asking for 2 days you would multiply 1 3/5 × 2 OR add 1 3/5 + 1 3/5

Which would give you 3 1/5

So, the dog has eaten 3 1/5 lb. of dog food in 2 days.

However then, you would subtract 20 lb. - 3 1/5 lb. because there is 20 lb. dog food in all and the dog has eaten 3 1/5 of it. This would give you 16 4/5 lb.

Meaning there is 16 4/5 lb. left in the bag of dog food!

What is the radius of this circle?​

Answers

Answer:

9in

Step-by-step explanation:

radius is half the diameter

18/2 is 9 so the radius is 9in

Which of the following is a central angle?
A
LEGD
B
LEAD
ZCOB
D
LCDA

Answers

The answer to this question is B

10,295 - 3,429 = N
N = ?

Answers

Answer:

The Answer is 6,866

Determine which function(s) are exponential. Select all that apply.

Answers

Answer:

option B and option C represent an exponential function.

Step-by-step explanation:

We know that following are some of the properties of different functions.

Linear Function:

The constant change in x and y

Quadratic Function:

The constant change in x

The constant 2nd differences in y

Exponential Function:

The constant change in x

The constant ratio in y

Determining the nature of the exponential function

Option A)

x       0          1          2         3           4

y       0          1           4         9          16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

1/0 = ∞,  4/1 = 4,  9/4 ; 16/9

Thus,

Table A DOES NOT represents an exponential function.

Option B)

x       0          1          2         3           4

y       1/3        1           3        9           27

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

1/[1/3] = 3,  3/1 = 3,  9/3 = 3; 27/9 = 3

As there is constant change in x as well a constant ratio.

Thus,

Table B REPRESENTS an exponential function.

Option C)

x       0          1          2         3           4

y       5          5/2      5/4      5/8       5/16

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

There is also a constant ratio, as

[5/2]/5= 1/2,

[5/4]/[5/2] = 1/2

[5/8]/[5/4] = 1/2

[5/16]/[5/8] = 1/2

As there is constant change in x as well a constant ratio.

Thus,

Table C REPRESENTS an exponential function.

Option D)

x       0          1          2         3           4

y       4.5       4        3.5       3          2.5

Here:

There is a constant change in x:

1 - 0 = 1;  2 - 1 = 1;  3 - 2 = 1;  4 - 3 = 1

BUT, there is NO CONSTANT ratio, as

4/4.5 = 4/[45/10] = 40/45 = 8/9

3.5/4 = [35/10]/4 = 35/40 = 7/8

3/3.5 = 3/[35/10] = 30/35 = 6/7

2.5/3 = [25/10]/3 = 25/30 = 5/6

Table D  DOES NOT represent an exponential function.

Conclusion:

Therefore, option B and option C represent an exponential function.

The functions that are exponential would be:

B). [tex]x[/tex]   0          1          2         3           4

   [tex]y[/tex]     1/3        1           3        9          27

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

What are Exponential Functions?

B). Given that,

[tex]x[/tex]   0          1          2         3           4

 [tex]y[/tex]     1/3        1           3        9          27

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex]1/[1/3] = 3, \\3/1 = 3, \\9/3 = 3; \\27/9 = 3[/tex]

Thus, it exemplifies an exponential function.

Similarly,

C). [tex]x[/tex]       0          1          2         3           4

      [tex]y[/tex]     5          5/2      5/4      5/8       5/16

As we see,

The value of [tex]x[/tex] undergoes a constant change of 1

[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]

The ratio also remains constant

[tex][5/2]/5= 1/2\\\\[5/4]/[5/2] = 1/2\\\\[5/8]/[5/4] = 1/2\\\\[5/16]/[5/8] = 1/2[/tex]

Thus, it exemplifies an exponential function.

Thus, options B and C are the correct answers as the other two have a constant change but not a constant ratio.

Learn more about "exponential function" here:

brainly.com/question/15352175

What is the equation of the function that is graphed as line a? ​

Answers

Answer:

b

Step-by-step explanation:

What is the area of the trapezoid?
6 m
4 m
5 m
3 m
square meters

Answers

6 square meters long because of jesus
Answer : 19.5m


The area formula for a trapezoid is A = a+b
——h
2
You would cut the trapezoid vertically then you would do 4x3=12 then 3x5...3 because you subtracted 6-3, so 3x5 is 15 then 15/2 would be 7.5 you divided bc it’s a triangle and the formula for the triangle is A=bxh/2
Then lastly you would add 7.5 + 12 and you’d get 19.5m.

Hope it helped :)!

The first person to answer correctly I will give them a brainlies, 5 stars, and a thank you!
Which process in photosynthesis uses energy from the sun?(1 point)

1. splitting water into hydrogen and oxygen

2. combining carbon dioxide and hydrogen

3. absorbing carbon dioxide

4. releasing oxygen

Answers

Answer:

1. splitting water into hydrogen and oxygen

Step-by-step explanation:

Answer:

Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water.

Step-by-step explanation:

can u pls go answer my question? Thank you and have a nice day :)

https://brainly.com/question/21589806

Pls help I don’t get it

Answers

Answer:

Rotation 90 degrees counter clockwise, dilation of 6, translation down

Step-by-step explanation:

j – 18 = 43 what's the answer guys

Answers

Answer:

61

Step-by-step explanation:

We know from the equation 43 is 18 less then j. Therefore, if we add 18 to 43, we will get the value of j.

43 + 18 = 61

So first you add 43 and 18 cause the original number is that total - 18 and you get 61
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