One of the solutions to the equation x² - 5x-24 = 0 is 8. What is the other solution?​

Answers

Answer 1
X^2 - 5x - 24
(X - 8)(x + 3)
X = 8 and x = -3
Therefore, the other solution is -3.
Answer 2

Answer:

-3

Step-by-step explanation:

This is a quadratic equation. Therefore, one way we can solve this is by using the quadratic formula, [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] and [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex].

a, b, and c represent the coefficients in our equation [tex]x^2-5x-24=0[/tex]. a represents the coefficient of the term with degree of 2, which is 1. b represents the coefficient of the term with degree of 1, which is -5. c represents the coefficient of the term with degree of 0, which is -24.

Let us plug them in the equation! Let us start with this one: [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{5+\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5+\sqrt{25+96} }{2} =\\\frac{5+\sqrt{121} }{2} =\\\frac{5+11}{2} =\\\frac{16}{2} =\\8[/tex]

Oops! We are looking for the other solution. Let us plug in the values in this equation instead: [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]\frac{5-\sqrt{(-5)^2-4*1*(-24)} }{2} =\\\frac{5-\sqrt{25+96} }{2} =\\\frac{5-\sqrt{121} }{2} =\\\frac{5-11}{2} =\\\frac{-6}{2} =\\-3[/tex]

I hope this helps! Let me know if you have any questions :)


Related Questions

can someone help please !! giving brainlist to anyone who answers

Answers

Answer:

with?

Step-by-step explanation:

I can help you, but there’s nothing so ?

Question 3 of 10
What are the domain and range of the function represented by the table?
х
-5
0
5
10
15
|
у
-1
0
1
2
3
O A. Domain: -5 sxs 15
Range:{-1,0, 1, 2, 3}
O B. Domain: {-5, 0, 5, 10, 15}
Range: -1 sys3
O C. Domain: {-1,0, 1, 2, 3}
Range:{-5, 0, 5, 10, 15}
D. Domain:{-5, 0, 5, 10, 15)
Range:{-1,0, 1, 2, 3}

Answers

Given:

The table of values of a function.

To find:

The domain and range of the given function.

Solution:

Domain: The set of input values of x-values is known as domain.

Range: The set of output values of y-values is known as domain.

From the given table it is clear that x-values are [tex]-5,0,5,10,15[/tex] and the y-values are [tex]-1,0,1,2,3[/tex]. So,

[tex]Domain=\{-5,0,5,10,15\}[/tex]

[tex]Range=\{-1,0,1,2,3\}[/tex]

Therefore, the correct option is D.

The domain and range of the function represented by the table is as follows:

Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}

What are domain and range of a function?

The domain of a function is the set of input values, x, for which a function is defined. The domain is the input of the function. The domain is the sets of all input value that produces the output value.

The domain are likewise called input . The domain are usually the x values

The set of values the function outputs is termed the range of the function. In a simpler term, the range are the output of the function. The range are usually the y values.

Therefore, the domain and range of the function represented by the table is as follows;

Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}

learn more on domain and range here; https://brainly.com/question/25173046


35 points!!! Which is the general form of the equation of the circle shown?
Options shown on image.

Answers

The answer is B/the second one.

Need help ASAP DUE AOLN AND PLEASE SHOW WORK ?!!!

Answers

Answer: 35.98in

Step-by-step explanation:

Use the formula: h=3 v/pi(r^2)

Answer:

V = 36.0 in

Step-by-step explanation:

V of cylinder = (1/3)πr^2(h)

V of cylinder = 3052 cubic inches

r = 9 in

3052 = (1/3)π(9)^2(h)

3052 = (1/3)π(81)h

3052 = 84.82300165h

divide both sides by coefficient of h

h = 36.0 in (rounded to nearest tenth)

find the inverse function

Answers

Answer

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

Step by step

[tex]y = \frac{2x}{5} + 2[/tex]

Swap roles of x and y

[tex]x = \frac{2}{5} y + 2[/tex]

Then

[tex]5x = 2y + 10[/tex]

So

[tex]2y = 5x - 10[/tex]

Hence

[tex]y = \frac{5}{2} x - 5[/tex]

Therefore

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

Help PLEASE 50 POINTS

Answers

Answer

I am going to answer the one thats like can you classifly each firgure

cone is the one on the far right

cylinder is the one thats a long circle kinda shape at the top

pyramid is the second to the left

prism is the one next to cylinder.

Step-by-step explanation:

Answer: Its a rectangular prisim

Step-by-step explanation: It has three dimensions, length, width, and height. Some examples of a rectangular prism in real life are rectangular tissue boxes, school notebooks, laptops, fish tanks

I really need help ill love you forever if you help me thank you so much ​

Answers

Answer:

x = 13

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

30 = 1/2 (5x-5)

Multiply each side by 2

2*30 = 2* 1/2 ( 5x-5)

60 = 5x-5

Add 5 to each side

60+5 = 5x-5+5

65 = 5x

Divide each side by 5

65/5 = 5x/5

13 = x

GRADE 6 MATH PLEASE ANSWER DUE TOMORROW

Answers

Answer:

I left out a few so you can do 1 or 2! :D

Step-by-step explanation:

3: 1/2 hour + 1/4 hour= 3/4 hour on computer

5: 1/5 more of the money

6: 8/5      9/4

7: a:6 5/9  b: 3 9/10  c: 4/5  d: 4 5/8

8 They have the same denominator

10: a: 5/12  b: 6 times more c: How much of the day does he spend sleeping or schooling

Give Brainiest answer to me. It helps! :D

Answers:

4.)  

a)

i) 3/8 - 1/4 = 3/8 - 2/8 = 1/8

ii) 4/5 - 3/4 = 16/20 - 15/20 = 1/20

b)

9.) It's less than 1 and the tops are smaller then the bottem

In a survey of 2,700 people who owned a certain type of​ car, 954 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

35.333333333...%

Step-by-step explanation:

954/2700 = 35.33333333333333...%

You could use a calculator to solve these types of problems, but I'm not saying you should use one for every single problem.

Anyway, hope this helps.

JESSIE CAN MAKE 300 PHOTOCOPIES OF A PAGE IN 3 MINUTES. ELSA XANDO THE SAME JOB IN 6 MINUTES. IF BOTH OF THEM WORK TOGETHER, HOW LONG IT WILL TAKE THEM TO DO THE JOB?​

Answers

Answer:

elsa can do 150 in 3 minutes.

so together they can do 450 in 3 minutes, or 150 in 1 minute

they would need two minutes

Answer:

4.5 minutes long to do their job.

Need help to answer this plz

Answers

Answer:

25^2 + 36^2 = 49^2

Step-by-step explanation:

You can use the Pythagorean theorem to determine if it is a right triangle

If it is a right triangle

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

25^2 + 36^2 = 49^2

If this is true, then it is a right triangle

f(x) = 4* and g(x) = 45
Use the values given in the table and the functions to
determine the missing values.
A=
X
f(x)
g(x)
B=
1
-2
C =
16
1
4
-1
UNI->
0
1
1
4
2
2
16
с

Answers

Answer:

The missing values are [tex]A = \frac{1}{4}[/tex], [tex]B = 1[/tex] and [tex]C = 4[/tex], respective.

Step-by-step explanation:

We find the values regarding A, B and C by evaluating [tex]g(x)[/tex] at respective values of [tex]x[/tex]:

[tex]x = -2[/tex]

[tex]g(-2) = 4^{-\frac{2}{2} }[/tex]

[tex]g(-2) = 4^{-1}[/tex]

[tex]g(-2) = \frac{1}{4}[/tex]

[tex]A = \frac{1}{4}[/tex]

[tex]x = 0[/tex]

[tex]g(0) = 4^{\frac{0}{2} }[/tex]

[tex]g(0) = 1[/tex]

[tex]B = 1[/tex]

[tex]x = 2[/tex]

[tex]g(2) = 4^{\frac{2}{2} }[/tex]

[tex]g(2) = 4^{1}[/tex]

[tex]g(2) = 4[/tex]

[tex]C = 4[/tex]

Answer:       A=1/4,   B=1,   C=4

Step-by-step explanation:

Correct on edge 2022


[tex]given \: f(x) = \frac{4x - 10}{x - 2[/tex]
determine the x and y intercept of f​

Answers

Given :-

f(x) = 4x - 10/ x -2

To Find :-

x and y intercept .

Solution :

Let ,

→ y = f(x)

So that ,

→ y = 4x - 10/ x -2

For finding x intercept , substitute y = 0 .

→ 0 = 4x - 10/x - 2

→ 4x - 10 = 0

→ 4x = 10

→ x = 10/4

→ x = 5/2

x = 2.5

For finding y intercept , put x = 0 .

→ y = 4*0 - 10 / 0 -2

→ y = -10/-2

y = 5

x intercept = (2.5,0)y intercept = (0,5)

Select all of the true statements.

A.
1
3

foot
>
5

inches
B.
4

miles
>
7
,
000

yards
C.
2
1
4

miles
<
10
,
000

feet
D.
5
3
4

yards
=
196

inches
E.
8

yards
=
24

feet

Answers

Answer:

miles

<

10

,

000

feet

D.

5

3

4

yards

=

196

inches

E.

8

yards

=

24

feet

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours

Answers

Answer:

Latoya will charge $10 more to tutor for 5.5 hours

Step-by-step explanation:

We shall look at the total charges of both tutors individually.

Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.

This means that for the first hour, Oscar charges $25.

For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.

If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.

For 5.5 hours, the cost of Oscar's tutoring is

$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.

Now, we shall look at Latoya's tutoring cost.

f(x) =

30x,

[tex]0 \leqslant x \leqslant 3[/tex]

20x,

[tex]3 < x \leqslant 6[/tex]

10x,

[tex]x > 6[/tex]

The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.

Hence, the tutoring cost for Latoya is $20*5.5 = $110.

In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.

Quadrilateral ABCD is inscribed in a circle. Angle B measures 19°. What is the measure of angle D?

Answers

Answer:

[tex]D = 161^o[/tex]

Step-by-step explanation:

Given

[tex]\angle B = 19^o[/tex]

Required

Find D

The label of the quadrilateral are not clear. However, a more complete question illustrates that B and D are opposite sides.

To solve for D, we make use of:

[tex]B + D = 180^o[/tex] ---- opposite [tex]sides[/tex] of a [tex]cyclic \\[/tex] quadrilateral

Make D the subject

[tex]D = 180^o -B[/tex]

[tex]D = 180^o -19^o[/tex]

[tex]D = 161^o[/tex]

1 + 2 + 3 + ... + 98 + 99 + 100

Answers

Answer:

101 + 102 + 103 + ... + 998 + 999 + 1000

Step-by-step explanation:

Answer:     5050

=====================================================

Explanation:

This series is arithmetic since the common difference is 1. In other words, we're adding 1 to each term to get the next one.

The quickest way to find the sum is to use the formula below

S = (n/2)*(a+b)

where n is the number of terms, 'a' is the first term, and b is the last (or nth) term. This formula only works for arithmetic series.

We can see that n = 100, a = 1 and b = 100, so....

S = (n/2)*(a+b)

S = (100/2)*(1+100)

S = 50*101

S = 5050

-----------

This can be confirmed by noticing that we have 100/2 = 50 pairs of terms. Pair up the terms such that 1 goes with 100, 2 goes with 99, 3 goes with 98, and so on.

We have these fifty sums

1+100 = 101

2+99 = 101

3+98 = 101

....

48+53 = 101

49+52 = 101

50+51 = 101

We have 50 copies of 101 being added, which leads to 50*101 = 5050

--------------

The slowest and most tedious way to confirm this is to type 1+2+3+...+98+99+100 into your calculator. The result should say 5050. Using a spreadsheet would be a better option instead of using a handheld calculator. I don't recommend this unless you need more proof that we end up with 5050 as the final answer.

f(x) → 4x - 7. Find f(9)

Answers

Answer:

29

Step-by-step explanation:

f(x) = 4x -7

f(9) = 4(9)-7

=36-7

=29

help please! the question is in the picture below for reference when answering! thank you so much!

Answers

Answer:

101°

Step-by-step explanation:

In the rightmost triangle the missing angle is:

180° - 51° - 90° = 39° .     90° comes from the other angle in the straight horizontal line, because there is a 90° on the other side

In the leftmost triangle, the missing angle is:

180° - 90° - 50° = 40° .         50° comes from 180° - 130°

In the straight line

ABC = 180° - 40° - 39° = 101°

Answer = 101°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which type of angle is related to supplementary angles?

Reflex

Straight

Acute

Obtuse

Answers

straight angle because the supplementary angle and straight angle is same.

Help asap please 50 points

Answers

Answer:

The area of rectangle is 8 x ² y ².

Step-by-step explanation:

Given that :- Measure of side A of rectangle is 2 xySide B measure twice the length of side A = 2 × ( 2xy ) = 4 xy

To Find :-

➛ Area of rectangle

Formula Used :-

➛ Area of rectangle = Length × Breadth

Solution :-

Firstly we need to find Breadth of rectangle

Using Formula

Area of rectangle = Length × Breadth

Where

Length of rectangle = 2xy

Breadth of rectangle = 2 × 2xy = 4 xy

Substituting the values into the Formula

Area of rectangle = 2 xy × 4 xy

multiply, we get

Area of rectangle = 8 x² y²

Therefore, Area of rectangle is 8 x ² y ².

PLEASE PLEASE HELP ME WITH THIS PLEASE!!! ITS IXL

ANSWER EXPLANATION = BRAINLIEST

You can transform ⨀N to ⨀N' by translating it and then performing a dilation centered at N'. Find the translation rule and the scale factor of the dilation

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Translation: (x,y)↦ (____, ____)

Scale factor: _____?

THANK YOU!

Answers

Answer:

ok who ever ur teacher is is kinda a mean teacher because they givin u like 98th grade questions bro i dont even know this and im in college

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

The point N is at (-7, -8)

The point N’ is at (4, -4)

On the x-axis, -7 to 4 is a shift of 11 units to the right.

On the y-axis, -8 to -4 is a shift of 4 units upward.

To find the scale factor, we need to find the change in radius size.

As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.

As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.

6 is 3 times the amount of 2, meaning the scale factor is 3.

Hope this helps!

f
is inversely proportional to

g
.
When
f
=
12
,
g
=
64

Work out
f
when
g
=
16

Answers

The value of 'f' when 'g' is 16 is 24.

How to calculate the value

If 'f' is inversely proportional to square root of 'g', it can be expressed thus;

f [tex]\alpha[/tex] [tex]\frac{1}{\sqrt{g} }[/tex]

Then

f * [tex]\sqrt{g}[/tex] = constant

f₁*[tex]\sqrt{g}[/tex] ₁ = f₂ * [tex]\sqrt{g}[/tex]₂

If f₁ = 12 , [tex]\sqrt{g}[/tex]₁ = [tex]\sqrt{64}[/tex] = 8,

f₂  = ?, [tex]\sqrt{g}[/tex]₂= [tex]\sqrt{16}[/tex] = 4

Substitute into formula

12 * 8 = f₂ * 4

Make 'f₂' subject

f₂ = 96 ÷ 4

f₂ = 24

Therefore, the value of 'f' when 'g' is 16 is 24.

Learn more about indirect variations:

https://brainly.com/question/6499629

#SPJ1

3)
How many solutions are there to the following equation?
3x-2(1 + x) + 2 = x
A. O
B. 1
C. Infinitely many

Answers

Answer:

letter B.1

ayan po sagot sa number 3

Step-by-step explanation:

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

3x-2-2x+2=x

x-x=0

infinitely many

How to solve this? I have no clue and also teach me on how to solve this! Thank you!!!

Answers

Answer:

90 counterclockwise or 270 clockwise

Step-by-step explanation:

just trust me bro lolskies

2 Answers:B) 90 degrees counterclockwiseD) 270 degrees clockwise

====================================================

Explanation:

Through some strange formatting error, the tickmarks are not in the proper locations. They should be to the right and slightly above the letter. They should be close by, and not far away like that.  

It looks like the purple figure is the image while the blue figure is the preimage. If that's the case, then we've applied a 90 degree counterclockwise rotation to go from blue to purple.

Notice how angle AQA' is 90 degrees as shown by the green segments in the diagram below. So are BQB' and CQC' and DQD' as well.

We could also rotate the blue figure 270 degrees clockwise to arrive at the same purple image. Note how 90+270 = 360 which is a full circle.

[tex]2x^2+8x-7=-2[/tex]


Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer

Answers

Answer:

x = -2 ±√(13/2)

Step-by-step explanation:

Annabelle cuts 2 feet from a 5​-foot length of rope. Then she cuts 17 inches from the rope. How many inches of rope are​ left?

Answers

Answer:

1.58feet

Step-by-step explanation:

Given data

Total lenght of rope= 5 feet

She cuts 2 feet

Remainder= 5-2= 3feet

Now let us convert 17inches to feet

from tables, 17inches is 1.41667feet

Hence the amount of rope now left is

=3-1.41667

=1.58feet

1. Simplify by combining like terms and then evaluate for x = 2 and y=-1
a) x + 2x - 6
b) 6x – 5x-x+8y

Answers

1. x+2x-6
2+2(2)-6
2+4-6
0

2. 6x-5-x+8y
6(2)-5-2+8(-1)
12-5-2-8
-27

Answer:

a)0

b)-27

Step-by-step explanation:

I simplified it u just combine the like terms

the rest should be easy

Escribe el nombre de algún tipo de ángulo que se forma "Entre Dos rectas Paralelas y una Secante"

Answers

Answer:

We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.

Step-by-step explanation:

Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.

Christine owns 9 hair bands and additional hair bands are 2 for a dollar. How much money does she need to spend on hair bands in order to own a total of 49 hair bands?

Answers

Answer: $20

Step-by-step explanation:

If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?

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