The roots of x2 - 5x - 4 = 0 are
A. 1 and 4
5+41
*2
В.
C. -1 and -4
-5+141
2

Answers

Answer 1

Answer:

the answer to this is:

[tex]\frac{5+\sqrt{41} }{2} and\\\frac{5-\sqrt{41} }{2}[/tex]

Step-by-step explanation:


Related Questions

draw a figure for the triangle with ab

Answers

Step-by-step explanation:

figure for the triangle with ab

the x-intercept of the function f(x)=x^2-81

Answers

Answer:

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jskebeuejbeiwnwvgwvshcc

Answer:

x=9

x=-9

Step-by-step explanation:

The x intercept or roots are x values that makes the f(x) equal 0. So in order words, to find the x intercept. Set the equation equal 0.

[tex] {x}^{2} - 81 = 0[/tex]

We can approach this problem 2 ways

Way 1: Differnece of Squares

Recall that

[tex]a {}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

Since x^2 and 81 are both perfect squares and 81 is negative, we can say that

[tex](x + 9)(x - 9) = 0[/tex]

Set each equation to zero

[tex]x = 9[/tex]

[tex]x = - 9[/tex]

Way 2: Take square root of both sides

[tex] {x}^{2} - 81 = 0[/tex]

[tex] {x}^{2} = 81[/tex]

Next step, take square root of both sides. Square root produce negative and positive solutions so

[tex]x = 9[/tex]

or

[tex]x = - 9[/tex]

PLEASE HELP: What are the solutions to the system of equations? {−x+y=4, y+12=x^2+x

Answers

Answer:

1. x = -4 + y (answer for the equation −x+y=4)

2. parabola with vertex  at (h, k) = (-1/2, -49/4), and focal length at |p| = 1/4

Step-by-step explanation:

How do I find the Derivative of a Function where the x is a number?

If I was to find d/dx g(1) for example, would I first find the value of the function g(x) at x=1 and then find the derivative of that which becomes 0 because the result would probably be a constant. Or do I first find the derivative of g(x) and then plug in x=1 to calculate it?

Thanks

Answers

Given a function g(x), its derivative, if it exists, is equal to the limit

[tex]g'(x) = \displaystyle\lim_{h\to0}\frac{g(x+h)-g(x)}h[/tex]

The limit is some expression that is itself a function of x. Then the derivative of g(x) at x = 1 is obtained by just plugging x = 1. In other words, find g'(x) - and this can be done with or without taking a limit - then evaluate g' (1).

Alternatively, you can directly find the derivative at a point by computing the limit

[tex]g'(1) = \displaystyle\lim_{h\to0}\frac{g(1+h)-g(1)}h[/tex]

But this is essentially the same as the first method, we're just replacing x with 1.

Yet another way is to compute the limit

[tex]g'(1) = \displaystyle\lim_{x\to1}\frac{g(x)-g(1)}{x-1}[/tex]

but this is really the same limit with h = x - 1.

You do not compute g (1) first, because as you say, that's just a constant, so its derivative is zero. But you're not concerned with the derivative of some number, you care about the derivative of a function that depends on a variable.

Help ASAP
√3 (5 + √2)

Answers

Answer:

5*sqrt(3)+sqrt(6)

Step-by-step explanation:

sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)

Answer:

(5 x sqrt(3)) + sqrt(6)

Brainliest, please! (Almost an Ace!)

Step-by-step explanation:

Distribute the sqrt(3) through and get:

(5 x sqrt(3)) + (sqrt(3) x sqrt(2))

Next, we simplify.

(5 x sqrt(3)) + sqrt(6)

Find the value of x.

Answers

Answer:

48

Step-by-step explanation:

(204-x)/2=78

or, 204-x=156

or, x=204-156

or, x=48

What kind of polygon is bounded by the line segments passing through points A, D, C, and E? What is the sum of the interior angle measures for this polygon?

Answers

Answer:

Step-by-step explanation:

Answer:

The polygon formed through points A, D, C, and E is a quadrilateral. The sum of the interior angle measures for any quadrilateral is 360°.

Step-by-step explanation:

Find 'x' in the following ​

Answers

First we have to find angle D

As it is a quadrilateral

[tex]\\ \sf\longmapsto <A+<B+<C+<D=360[/tex]

[tex]\\ \sf\longmapsto 45+50+35+<D=360[/tex]

[tex]\\ \sf\longmapsto 130+<D=360[/tex]

[tex]\\ \sf\longmapsto <D=360-130[/tex]

[tex]\\ \sf\longmapsto <D=230°[/tex]

Now

[tex]\\ \sf\longmapsto <D+x=360[/tex]

[tex]\\ \sf\longmapsto x+230=360[/tex]

[tex]\\ \sf\longmapsto x=360-230[/tex]

[tex]\\ \sf\longmapsto x=130°[/tex]

Answer:

x = 130

Step-by-step explanation:

Sum of all the angle of quadrilateral = 360°

50 + 45 + 35 + ∠ADC = 360

                130 + ∠ADC = 360

                         ∠ADC = 360 - 130

                         ∠ADC = 230

x = Reflex ∠ADC

  = 360 - 230

  = 130

Can someone help me on this please

Answers

Answer:

[tex]\sqrt[3]{a^2}[/tex]

Step-by-step explanation:

a ^ 2/3

The top is the power and the bottom is the root

[tex]\sqrt[3]{a^2}[/tex]

12 identical coins are placed in the cells on a chess board with 4 rows and 4 columns. If coins are not
allowed to be placed in the same cell, how many ways are there so that there are 3 coins in every rows
and columns?

Answers

Answer:

24 ways

Step-by-step explanation:

If the coins are identical and not numbered, we need to find the number of patterns.

There are 4 rows and 4 columns. One cell remains empty in each row.

There are 4 options for the first row, 3 options for the second row, 2 options for the third row and 1 option for the fourth row.

The number of options reduces to avoid more than 1 empty cell in each row or column.

Number of options is:

4*3*2*1 = 24
>> Answer

_________

[tex] \: [/tex]

4rows, and 4columns.

Soo :

= 4!

= 4 × (4 - 1) × (4 - 2) × (4 - 3)

= 4 × 3 × 2 × 1

= 24

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Outliers can cause the _________ to be misleading when summarizing a data set.
A. mean
B. interquartile range
C. all of these
D. median

Answers

Answer:

A. Mean

Step-by-step explanation:

Mean, because it's the average of the numbers and if one number's way off, it would throw the average off by a lot! I honestly forgot a bit about interquartile ranges, but it doesn't affect the median at all/have a very little effect so that's why it's not all of these. But mean is for sure!

I hope this helped! :D

A. Mean
Since the mean is the average of the set, by adding a larger or smaller number to the it set will throw off the data making it misleading.

write a recrusive rule for the exponential function
f(x)=0.25(2/3)^x​

Answers

Answer:

f(0) = 0.25 = 1/4

f(x) = f(x-1) × 2/3

Step-by-step explanation:

a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4

a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =

= a0 × 2/3

a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =

= a1 × 2/3

=>

an = an-1 × 2/3, n >= 1

but what about negative x ?

is a0 = a-1 × 2/3 ?

[tex]a - 1 = 0.25 \times {(2 \div 3)}^{ - 1} [/tex]

so, yes, a0 = a-1 × (2/3)

and a-1 = a-2 × (2/3)

...

3/5 of 1 hour is? pls give me the answer

Answers

1hr=60min

[tex]\\ \sf\longmapsto \dfrac{3}{5}\;of\;60min[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{5}\times 60[/tex]

[tex]\\ \sf\longmapsto \dfrac{180}{5}[/tex]

[tex]\\ \sf\longmapsto 36min[/tex]

(4m2-3). 12,13
What is the simplified form of

Answers

x

2
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0
x
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2
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0
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3
+
2

4
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3
+
2
-
4
|
csc
2
(
x
)

cot
2
(
x
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csc
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Natalie's family traveled 5 8 of the distance to her uncle’s house on Saturday. They traveled 2 3 of the remaining distance on Sunday. What fraction of the total distance to her uncle’s house was traveled on Sunday? Solve in your notes. Consider drawing a tape diagram.

Answers

Answer:

et - 2 2 = $. - wet 3XS = VŽ. 3. Phillip's family travel he distance to his grandmother's house on Saturday. They travel remaining distance on Sunday.

Step-by-step explanation:

welcome to brainly

What is the solution to the system of equations graphed below?

Answers

Answer:

the third option=C -2,3

Step-by-step explanation:

solve simultaneously

Answer:

(-2,3)

Step-by-step explanation:

The solution to the system is where the two lines cross

x= -2

y = 3

(-2,3)

there are two pots of milk containing 20 liters and 24 liters respectively .find the capacity of the largest container that can measure exactly milk both the cans​

Answers

Answer:

A can with capacity 44 litres

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The weight of an object on the moon is
1/6 of its weight on Earth. If a moon rock
weighs 20.5 lb on Earth, how much did
the moon rock weigh on the moon?

Answers

Answer:

1/6 = 0.16 = 16%

restate the question: 16% of 20.5 is what? multiply: 20.5*.16 = 3.28 now, to find the weight of the object on the moon, subtract 16% from 20.5. 16% of 20.5 is 3.28 20.5-3.28 = 17.22 = 17 22/100 = 17 11/50

the weight of the object is 17 11/50 pounds on the moon.

Find the missing side. Round your answer to the nearest tenth.
PLEASE HURRY!!

Answers

Answer:

x = 9.4m

Hope this helps...Have a good day!!

Solve for t in terms of q, r, and s.
r = sqt
t=

Answers

Answer:

t=r/(sq)

Step-by-step explanation:

r=sqt

=> r/(sq)=t

Answer:

T= r/(sq)

Step-by-step explanation:

r= sqt

=r/(sq) =t

17/7=3x + 2(5) / 3x - 2(5)​

Answers

The answer is: x = 261/133

PLEASE FIND THE ANSWER FOR B.)

Answers

Answer:

f (-3)

since -3 is between-4 and -2 for every value of x y is 2

PLEASE HELP! Simplify 2x^2+4xy+2y^2

Answers

Answer:

(x+y)(2x+2y)

Step-by-step explanation:

=2x^2 + 2xy + 2xy + 2y^2

=2x(x+y) + 2y(x+y)

=(x+y)(2x+2y)

Best answer gets brainliest and 5 stars

Answers

Answer:

No, because 6² + 8² ≠ 12²

Step-by-step explanation:

In a right angled triangle,

Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)

But in the given triangle; 6² + 8² ≠ 12²

36 + 64 ≠ 144

100 ≠ 144

Perpendicular² + base² ≠ hypotenuse²

Thus the given triangle is not right angled.

Convert 75 mg into gram

Answers

75 mg into grams is 0.075

Answer:

[tex]{ \tt{1 \: mg = 1 \times {10}^{ - 3} \: g}} \\ { \tt{75 \: mg = (75 \times 1 \times {10}^{ - 3} ) \: g}} \\ { \bf{ = 75 \times 10 {}^{ - 3} \: grams}} \\ { \bf{ = 0.075 \: grams}}[/tex]

What is the value of x to the nearest tenth? 6.0? 13.4? 30.0? 26.8?

Answers

Answer:

26.8

Step-by-step explanation:

2×√(18²-12²)

= 26.8328157..

= 26.8 (rounded to the nearest tenth)

Answer:

26.8

Step-by-step explanation:

We can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

12^2+ b^2 = 18^2

144+b^2 = 324

b^2 = 324-144

b^2 = 180

Taking the square root of each side

sqrt(b^2) = sqrt(180)

b = 13.41640

We know b = 1/2x

2b =x

2(13.41640) =x

26.83281573 =x

26.8

Adrian, Ben and Charlie share some sweets in the ratio 6:3:8
Charlie got 22 more sweets than Adrian.Work out the total amount of sweets.

Answers

Answer:

187 sweets

Step-by-step explanation:

8 units - 6 units = 2 units

2 units = 22 sweets

1 unit = 22 sweets ÷ 2

= 11 sweets

Total amount of sweets = 11 sweets × (6 units + 3 units + 8 units) = 11 sweets × 17 = 187 sweets

3. In a school, there are 450 students in total. If 2⁄3 of the total students are boys, find the number of girls in the school. What percent of the students are boys? Show your work or explain how you calculated your answer

Answers

Answer:

150 girls

66.7%

Step-by-step explanation:

2/3 × 450 = 300 boys

450 - 300 =150 girls

second question:

300/450 × 100

=66.66666667

=66.7% Students are boys

There are 150 girls in the school, and approximately 66.67% of the students are boys.

What percent of the students are boys

let's break this down step by step:

1. Total number of students: 450

2. Boys make up 2/3 of the total students.

Number of boys = (2/3) * 450

= 300 boys

3. To find the number of girls, subtract the number of boys from the total:

Number of girls = Total students - Number of boys

= 450 - 300

= 150 girls

Now, let's calculate the percentage of students that are boys:

Percentage of boys = (Number of boys / Total students) * 100

= (300 / 450) * 100

= 66.67%

So, there are 150 girls in the school, and approximately 66.67% of the students are boys.

Learn more about percentage at https://brainly.com/question/24304697

#SPJ3

What is (0,6] n (6,8]?

Answers

Answer:

(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket

9. Find cos X. Put the fraction in simplest form.
50
X
Z
30
40

Answers

Answer:

3/5

Step-by-step explanation:

cos X = Adjacent/Hypotenuse

cos X = 30/50

= 3/5

Answer:

Answer 3/5

Step-by-step explanation:

cos(X)=XY/XZ=30/50=3/5

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