Apparently I'm supposed to do one at a time so here we go again

For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Learn more about quadratic equations here:

https://brainly.com/question/18162688

Answer:

9.375

Step-by-step explanation:

1 7/8x5

because you need 5 times the amount

Answer:

let the dude get brainlest

Step-by-step explanation:

A. [tex]6x^2[/tex]+-5x+14x+-35

           [tex]6x^2[/tex]+9x-35

B. [tex]5x^4+-3x^3+10x^3+-6x^2[/tex]

           [tex]5x^4+7x^3-6x^2[/tex]

C. [tex]25x^2+-20x+20x+-16[/tex]

             [tex]25x^2-16[/tex]

D. [tex]x^4+-4x^2+-7x^2+28[/tex]

           [tex]x^4-11x^2+28[/tex]

[tex]====================================[/tex]

Step-by-step explanation:

A. (3x*2x)+(3x*-5)+(7*2x)+(7*-5)

        Multiply and simplify.

                [tex]6x^2[/tex]+9x-35

B. ([tex]x^2*5x^2[/tex])+([tex]x^2*[/tex]-3x)+(2x[tex]*5x^2[/tex])+(2x[tex]*-3x[/tex])

         Multiply and simplify.

              [tex]5x^4+7x^3-6x^2[/tex]

C. [tex](5x*5x)+(5x*-4)+(4*5x)+(4*-4)[/tex]

         Multiply and simplify.

                  [tex]25x^2-16[/tex]

D. [tex](x^2*x^2)+(x^2*-4)+(-7*x^2)+(-7*-4)[/tex]

         Multiply and simplify.

                [tex]x^4-11x^2+28[/tex]

I hope this helps!

But you should really do this yourself.

Answer:

I'm pretty sure it is 3 hours.

Step-by-step explanation:

Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D

Answer:

rounded to the nearest ten thousand

2,034,627

2,030,000

Answer:

x = -5

Step-by-step explanation:

A vertical line is a line that goes up and down.  It is of the form x = constant

To go through (-5,6) is has to have the value of the x coordinate

x = -5

Answer:

x = 17

Step-by-step explanation:

x ^2 = 8^2+ 15^2

√x^2 =√64+225

x=17

Answer:

17cm.

Step-by-step explaination:

The given triangle is a right angled triangle.

Using Pythagorean Theorem,

a² + b² = c²

Putting the given values in the equation;

(15)² + (8)² = c²

225 + 64 = c²

289 = c²

17² = c² (square root of 289 = 17)

17 = c

c = 17

Therefore, the missing side of the triangle is equal to 17 cm.

Final Answer: 82.2

formula used: a² + b² = c²

a = 66

b = 49

c = x

Solution:

66² + 49² = x²  (note: 66² = 66 × 66 = 4,356 and 49² = 49 × 49 = 2,401)

4,356 + 2,401 = x²

[tex]\sqrt{6,757}[/tex] = [tex]\sqrt{x^2}[/tex]

82.201 = x

rounded to the nearest tenth: 82.2

hope this helps, let me know if its incorrect or not

have a great day ;)

Answer:

c.8,625grams of flour

4a. X=12

Y=30

Z=60

Step-by-step explanation:

For c. , You have to convert the mixed numbers to fractions.

2¾ cups of flour= 2×4=8

8+3=11

Answer: 11/4 (11 over 4)

You multiply the 2 (whole number) by the 4 (bottom number) and then you get *8*

You then take the 8 (which was your answer) and add 3. This will give you 11

You take the 4 and use it as your denominator (bottom number) for the 11. So no need to find a denominator, because you just use the 4

For the fruit cake, she uses *1½* cups of flour more than carrot cake

Calculation:

1½ converted to an improper fraction= 1×2=2

2+1=3

Answer: 3/2 (3 over 2)

"Customer orders *3* carrot cakes and *4* fruit cakes

How many cups of flour are required to bake for the cakes ordered by the customer?"

11/4÷3= 8,25grams

3/2÷4= 0,375grams

8,25+0,375=8,625grams in total

*Feel free to correct me as I might be wrong!*

Hi there!  

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I believe your answer is:  

The first question.

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

Let the number be x

14 ÷ x = [tex]\frac{14}{x}[/tex]

Answer:

14 / x

Step-by-step explanation:

quotient = /

14 = 14

a number = the variable, let's call it x

Brainliest please!

Answer:

x = 360°

Answered by GAUTHMATH

Answer:

Aroun 203 knots.

Step-by-step explanation:

we look at the x axis and find 937 kPa. Since it's in between 930 and 940 we find a estimate for it. we then move up until we reach the line that was graphed. we check what the y coordinate is, which is around the 203 mark

Answer:

The probability of choosing a girl is 1/2.

The probability of choosing an A student who is a BOY is 5/28.

1/2 = 14/28, and 14/28 + 5/28 = 19/28. This can be simplified to 0.68

Thus, the answer is B. 0.68

Let me know if this helps!

The required probability of choosing a girl or an A student is 0.82. Option A   is correct.

Given that,
In a math class of 28 students, 14 boys and 14 are girls. On a unit test, 5 boys and 9 girls made an A grade.
A student is chosen at random from the class. What is the probability of choosing a girl or an A student is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Total sample space = 28
Number of girls = 14
Number of boys = 14
Number of girls A grade student  = 9

probability of a girl = 14/28 = 0.5
probability of A grader girl  = 9 / 28 = 0.32
Now the probability of choosing a girl or an A grader girl student,
= 0.32 + 0.5
= 0.82

Thus, the required probability of choosing a girl or an A student is 0.82. Option A  is correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ5

Answer:

Step-by-step explanation:

Angle opposite to 6 is complementary of α:

Similarly, angle opposite to side 4 of the triangle in the right side is:

Sum of the interior angles of the triangle on the bottom:

From the smaller triangles we get:

Use the identity below and find the value of tan γ:

Answer:

Step-by-step explanation:

They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.

Victoria could pull out another three.

Rebecca could pull out another five.

The answer is 15(y + 2)

Answer:

because:  3(5y + 10)=15y+30 (Distributive property between addition and multiplication )

the same we have  5(3y + 6)=15y+30

Step-by-step explanation:

Answer:

Download gauthmath it will help Jesus loves you

Answer:

A. -5

Step-by-step explanation:

First of all this is a line that shows a negative slope.

Secondly, the formula for slope is rise/ run.

5 is your rise and 1 is your run, therefore: -5/1

And this can be reduced to :  -5

Step-by-step explanation:

that is really a problem ?

come on !

you know, the area of a square is side length × side length = length²

that is basically all of us learn as the very first thing when we are learning about squaring and multiplication.

how do we get the regular side length out of length² ?

we pull the square root. you have a calculator (at least on your computer, cell phone,...).

sqrt(121) = .... .... .... 11 ! tada !

and the perimeter of a square ... you really have to ask ?

it is the way all around the whole square. you need to go along every one of the 4 sides.

so, it is side length × 4 = 11×4 = 44 cm

again - you really needed help with THAT ?

Answer:

4050 cubic feet

Step-by-step explanation:

We would break this figure down into the square pyramid on the top and the cube on the bottom.

Volume of the cube:

l*w*h

= 15*15*15

= 3375.

Volume of the square pyramid:

a^2*(h/3)

= 15^2*(9/3)

= 225*3

= 675

Now we add the two to get the final answer:

3375+675=4050

The figure is 4050 cubic feet.

I hope this helped! :D

Answer:

Step-by-step explanation:

Cube:

Volume = length x width x height

V = 15 * 15 * 15

(Simplified version): 15³

V = 3,375ft³

Triangle:

Volume = 1/2 * base * height * length

V = 1/2 * 15 * 9 * 15

V = 1,012ft³

Add them both up to get our answer

3,375ft³ + 1,102ft³

4,477ft³

Therefore the volume of the figure is 4,477ft³

Answer:

[tex]344 {cm}^{2} [/tex]

Step-by-step explanation:

[tex]area \: of \: the \: square \\ = 40cm \times 40cm \\ = 1600 {cm}^{3} \\ [/tex]

[tex]area \: of \: the \: circle \\ = \pi {r}^{2} \\ = 3.14 \times {(20)}^{2} \\ = 3.14 \times 400 \\ = 1256 {cm}^{2} \\ [/tex]

[tex]area \: of \: shaded \: region \\ = 1600 {cm}^{2} - 1256 {cm}^{2} \\ = 344 {cm}^{2} \\ [/tex]

9514 1404 393

Answer:

  169 ft

Step-by-step explanation:

The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...

  c² = a² +b² -2ab·cos(C)

Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...

  c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84

The outfielder throws the ball about 169 feet.

Answer:

g(5) = -1

Step-by-step explanation:

Let x = 5.

[tex]g(5)=-(5)+4\\g(5)=-5+4\\g(5)=-1[/tex]

Answer:

-1

Step-by-step explanation:

g(x)= -x+4

then substitute 5 on x

=-(5)+4=-1

9514 1404 393

Answer:

  D (compute the mean)

Step-by-step explanation:

A box plot is a visual representation of the 5-number summary of a set of data. It is plotted against a number line.

The 5-number summary of the data set is most easily determined from an ordered set of the data, so ordering the data is usually the first step. Since the 5-number summary is plotted against a number line, the next steps are finding the 5-number summary, and creating a suitable number line.

__

The business of adding the data and dividing by the number of data items is a description of computing the mean of the data. That value is not part of the 5-number summary, and is not needed in the creation of the box plot.

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so

Answer:

540°

Step-by-step explanation:

90 revolutions = 360°×90 = 32400°

32400° in 60 sec or 1 min

so, in 1 sec 32400/60 = 540°

Answer:

540°

Step-by-step explanation:  

90 revolutions = 360°×90 = 32400°  

=> 32400° in 60 sec or 1 min  

=> In 1 sec,

=> 32400/60 = 540°

Answer:

n>-4

Step-by-step explanation:

8+n>4

n>4-8

n>-4

Answer:

-4

Step-by-step explanation

Subtract 8 from 4 to get -4.

N = -4

God Bless.

Answer:

10.8

Step-by-step explanation:

√(5-(-5))² + (8 -4)²

√10² + 4²

√100+16

√116 = 10.8

[tex]\\ \sf\longmapsto CD=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{(5+5)^2+(8-4)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{(10)^2+(4)^2}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{100+16}[/tex]

[tex]\\ \sf\longmapsto CD=\sqrt{116}[/tex]

[tex]\\ \sf\longmapsto CD=10.4[/tex]

Answer:

The difference will be increasing too

Step-by-step explanation:

If f(x) and g(x) is increasing in nature then

f(b) < f(a) and g(b) < g(a) for any a and b in the interval.

Subtracting these 2 equations, we get

f(b) - g(b) < f(a) - g(a) for any a and b in the interval.

Which means f-g is increasing in the interval (a, b) but as a and b were random real numbers we took, f(x) - g(x) will be increasing for an interval

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

Explanation:

We can prove this by contradiction.

Let's say

and

A+B = C

We'll show that a contradiction happens based on this.

If A is rational, then A = p/q where p,q are two integers. The q cannot be zero.

If C is rational, then C = r/s for some other integers. We can't have s be zero.

Note the following

A+B = C

B = C - A

B = r/s - p/q

B = qr/qs - ps/qs

B = (qr - ps)/qs

B = (some integer)/(some other integer)

This shows B is rational. But this is where the contradiction happens: We stated earlier that B was irrational. A number cannot be both rational and irrational at the same time. The very definition "irrational" literally means "not rational".

In short, I've shown that if A+B = C such that A,C are rational, then B must be rational as well.

The template is

rational + rational = rational

Therefore, we've shown that if A is rational and B is irrational, then C cannot possibly be rational. C is irrational.

Another template is

rational + irrational = irrational