How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation

Answers

Answer 1

I personally like the square method but I am lazy to draw this out (take too long)

5x²-13x-6 = (5x+2)(x-3)

x = -2/5 or 3

Double-check:

5x²-15x+2x-6  = 5x²-13x-6 √


Related Questions

5^-15 rewritten using a positive exponent.

Answers

Answer: 1/5 to the power of 15

I don’t even know the answer to this one plz help me

Answers

Answer:

You would multiply -11 by 9/4

This is because they are on opposite sides of the equation, and 9/4 is connected to a variable.

solve the equation.

[tex]\sqrt{x(x+2)} = 0[/tex]

Answers

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>

Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?

Answers

Answer:

37/40

Step-by-step explanation:

                                      3/8                              7/10

      80/40                   -       15/40              -          28/40                   =  37/40

two whole shampoo  -      uses at home    -      uses on holiday     =  left

Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?

Answers

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

Calculate how many guesses in binary search algorithm.

Answers

Answer:

In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.

Step-by-step explanation:

A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:

Answers

Answer:

quantitative manipulation of the independent variable

How to synthetically divide polynomials.

Answers

Answer:

Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.

Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.

Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.

Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.

Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:

-2| 1  2  -4  8

   ↓

   1

Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:

-2| 1  2  -4  8

       -2

   1

Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:

-2| 1  2  -4  8

       -2

   1   0

Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:

-2| 1  2  -4  8

       -2  0  

   1  

Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:

-2| 1  2  -4  8

       -2   0  

   1   0   -4

Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:

-2| 1  2  -4  8

       -2   0   8

   1   0   -4   |16

   x2   + 0x    - 4    R 16

x2 - 4 R16

Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).

Step-by-step explanation:

That was quite long, but those are the steps to synthetically divide polynomials.

can someone help me plsss

Answers

Answer:

c=23/24

Step-by-step explanation:

 c+3/8=1/1/3

 c+3/8=4/3

c+9/24=32/24

        c=32/24-9/24

         =23/24

what is the value of H in the diagram below?

Answers

Answer:

the value of h in the diagram is I hope hight

The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.

Answers

Answer:

bbc

Step-by-step explanation:

You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need?

Answers

I dunno tbh;-; soooooo I hope this helps
20 parts of flour

Because if you use 24 cups of sugar divide that by 6 resulting 4, which indicates that you used 6 parts 4 times, the multiply 5x4 giving you 20 which is how much flour you need

How to turn improper fractions into mixed numbers.

Answers

Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

Solve the literal equation for x.

k= nx - 3x

Answers

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

k=x(n-3)
k/(n-3)=x
there ya gooooo

PLEASE HELP ME FOR 25 POINTS NO LINKS!

Answers

Answer:

The answer is C. Yes, Abc= Adc

Answer:

Yes, ABC is congruent to CDA by SSS

Your answer is correct; and here's why:

side AB corresponds to side CD.

and side BC corresponds to DA

So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.

Step-by-step explanation:

Is this a function? Easy points

Answers

Wanna learn how to make Mac and cheese
For thanks giving

Boil the pasta, drain.
Make the cheese sauce by combining a fat (butter), and starch (flour), then whisking in the milk products.
Cook the sauce until it’s nice and thick.
Add in shredded cheeses, stir well.
Combine cheese sauce with cooked pasta.
Transfer half of the mac and cheese to a baking dish, sprinkle with more shredded cheese.
Top with the rest of the mac and cheese, top with more shredded cheese.
Bake and prepare to thoroughly enjoy

opposite reciprocal of 1/3

Answers

Answer:

-1/3

Step-by-step explanation:

hope this helps

(4)/(12)= ()/(3) what makes this equivalent

Answers

Answer:

1/3

Step-by-step explanation:

4/12 divide by 4 to the top and bottom you get 1/3

[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]

Please help (picture is linked)

Answers

Answer:

[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]

y-intercept: (0, 32), b = 32

[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Step-by-step explanation:

Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.

Slope

Use these points to solve for the slope of their line.

Let (x₁, y₁) = (0, 32)

    (x₂, y₂) = (100, 212)

Substitute these points into the following formula for the slope:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]

[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]

Therefore, the slope of the line is  [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].

Y-intercept:

Next, the given problem asks for the value of the y-intercept.  The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.

To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]

212 = 180 + b

Subtract 180 from both sides to isolate b:

212 - 180 = 180 - 180 + b

32 = b

The y-intercept is (0, 32), where b = 32.

Slope-intercept form:

Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex],  and the y-intercept, b = 32:

The linear equation in slope-intercept form is:  [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and the school?

Answers

8 BLOCKS :)))

:)))) NO NEED SOLUTION.

Rahul earns 21,000 in 7 months.

a) How much does he earn in 12 months!

b) In how many months will he earn *33,000?​

Answers

Answer:

a _ 12×21000/7 = 36000

b _ 33 × 7 / 21000= 11 months

PLS HELP ASAP ILL GIVE BRAINLKEST

Answers

Answer:

4th option

Step-by-step explanation:

Monica deposits ​$300 into a savings account that pays a simple interest rate of ​3.9%. Paul deposits ​400$ into a savings account that pays a simple interest rate of ​3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

Answers

Answer:

For Monica : Principle = $300 rate : 3.4% time 1 yr

Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2

For Paul : Principle = $400 rate : 2.8% time 1 yr

Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2

Step-by-step explanation:

helppp,no links or spam

Answers

Answer: 6.45 x 10^10

Step-by-step explanation:

Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.

Multiplying 7.5 and 8.6 gets you

7.5 * 8.6 = 64.5

We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10

Your final answer should be 6.45 x 10^10

Answer:

C 6.45x 10 to the power of 10

Step-by-step explanation:

10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.

10 to the power of 4 is 10,000.

10,000x8.6 is 86k

now we do 750,000x86,000 which is 64,500,000,000

10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000

Please I help I'll brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

c^2 = a^2 + b^2

a = 4

b = ?

c = 8

8^2 = 4^2 + b^2

64 = 16 + b^2

48 = b^2

b = sqrt(48)

b = 4√3

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

Find the size of CAO

Answers

Answer:

The measure of <CAO = 21°

20 POINTS !!

x^2+y^2+2x+2y=0

x^2+y^2+2x+6y+9=0 solve each system using substitution

Will mark brainlyest if steps are provided

Answers

Answer:

Step-by-step explanation:

x²+y²+2x+2y=0  ...(1)

x²+y²+2x+6y+9=0  ...(2)

subtract (1) from (2)

x²+y²+2x+6y+9-(x²+y²+2x+2y)=0

x²+y²+2x+6y+9-x²-y²-2x-2y=0

4y+9=0

4y=-9

[tex]y=-\frac{9}{4}[/tex]

put in (1)

[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]

solution is ((√7-4)/4,-9/4)

and ((-√7-4)/4,-9/4)

Find the missing side.
09
9.5
10
C
7 cm
10.6
8 cm
HELP PLEASE

Answers

Answer:a

Step-by-step explanation:

i know

f – 4 ≤ 9 for f. solve for the

Answers

Answer:

f>36

Step-by-step explanation:

9

<

f

4

Multiply both sides by

4

.

9

4

<

f

4

4

Simplify.

Tap for more steps...

36

<

f

Rewrite so

f

is on the left side of the inequality.

f

>

36

The result can be shown in multiple forms.

Inequality Form:

f

>

36

Interval Notation:

(

36

,

)

Answer:

f={∞,13)

Step-by-step explanation:

f - 4 ≤ 9

f - 4-9  ≤ 0

f-13 ≤0

f=13

13- 4 ≤ 9

9 ≤ 9  

(f>13) f-4 ≤9

   Find a number less than 13

f=12

12-4 ≤9

8≤9 √  

(f<13) f-4 ≤9

   Find a number greater than 13

14

14-4 ≤9

10 ≤9 ×
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