What is the sum of roots of 3x² 10x 8 0?

Answers

Answer 1

The sum of the roots of 3x² 10x 8 0 is -2.

The given equation, 3x² 10x 8 0, is a quadratic equation with two roots. To find the sum of the roots of this equation, we must first solve the equation. To do this, we use the quadratic formula, which states that the roots of the equation are x = [-b ± √(b² - 4ac)]/2a. Here, a = 3, b = 10 and c = 8.

Therefore, the roots of the equation are x = [-10 ± √(10² - 4(3)(8))]/2(3). This simplifies to x = [-10 ± √(-4)]/6. Since the square root of a negative number is not a real number, the roots of the equation are not real numbers, and the sum of the roots is undefined. Therefore, the sum of the roots of 3x² 10x 8 0 is -2.

x = [-10 ± √(10² - 4(3)(8))]/2(3)

x = [-10 ± √(-4)]/6

x = [-10 ± √(-4)]/6

Since the square root of a negative number is not a real number, the roots of the equation are not real numbers, and the sum of the roots is undefined.

Therefore, the sum of the roots of 3x² 10x 8 0 is -2.

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1.
The table below shows the favorite fruits of the 6th graders in Alyssa’s school.


What is the mode of this data set?


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Answer:

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Step-by-step explanation:

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Answer:

-1

Step-by-step explanation:

[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]

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Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of a right triangle with the length of leg a 5 inches.
A) 10 inches
B) 2√5 inches
C) 5√2 inches
D) 25 inches

Answers

Answer:

C) 5√2

Step-by-step explanation:

Which classifications apply to the polygon? Check all that apply.

convex
concave
regular
hexagon
octagon

Answers

It’s concave and hexagon

Answer:

B and D

Step-by-step explanation:

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Answers

Answer:

x=0

Step-by-step explanation:

The axis of symmetry: [tex]x=\frac{-b}{2a}[/tex] when the equation is [tex]y=ax^2+bx+c[/tex]

The given equation is:

[tex]y=x^2-6[/tex]

To make the a and b values more easily identifiable, we can rewrite it like this:

[tex]y=1x^2+0-6[/tex]

Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :

[tex]x=\frac{-(0)}{2(1)}\\x=0[/tex]

Therefore, the equation for the axis of symmetry for the parabola is x=0.

I hope this helps!

A recipe that serves 8 calls for 2 ½ cups of flour. How many cups of flour should you use if you want to adjust the recipe to make 12 servings?

Answers

Answer:

3 3/4 cups of flour

Step-by-step explanation:

Write and solve an equation of ratios, as follows:

  8        2.5 cups

------- = ----------------

  12             c

3 3/4 cups of flour to adjust the receipt as described.

help will mark brainliest, 100 points

Answers

Answer:

Slope:  − 4

y-intercept:   ( 0 , 0 )

x  y  0/ 0

      1 /− 4

Step-by-step explanation:

Give brainliest :)

Answer:

Slope:  − 4

y-intercept:   ( 0 , 0 )

x  y  0/ 0

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Step-by-step explanation:

Solve the inequality x + 1 > 5. Then graph the solutions.

Answers

Solution to Inequality #1:

6 - x > 15
-x > 15 - 6
-x > 9
-x/-1 < 9/-1 (divide by -1; reverse sign of inequality)
x < -9

Solution to Inequality #2:

8x < 1
x < 1/8

OR

x - 9 > -5
x > -5 + 9
x > 4

Solution to Inequality #3:

|x + 3| >= 4

Positive Case:

x + 3 >= 4
x >= 4 - 3
x >= 1

Negative Case:

-1(x + 3) >= 4
-x - 3 > = 4
-x >= 4 + 3
-x >= 7
-x/-1 <= 7/-1 (divide by -1; reverse sign of inequality)
x <= -7

Find the value of x if 2x = 20 .​

Answers

Answer:

x = 10

Step-by-step explanation:

Divide both sides by 2.

(2x) / 2 = 20 / 2

x = 10

Answer:

The answer is going to be 10.

Step-by-step explanation:

1) Diving both sides by 2.

[tex]x = \frac{20}{2} [/tex]

2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.

[tex]x = 10[/tex]

Therefor, the answer for x is x = 10.

write a numerical expression Add 91, 129, and 16, and then divide
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Answers

Answer:

Step-by-step explanation:

5.364

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Answer:

HOOO YOU SHOULD KNO THIS!!!

Step-by-step explanation:

Answer:

the answer is -2.

Step-by-step explanation:

trust me???

Solve the inequality. g + 6 > 5

Answers

Answer:

g > -1

Step-by-step explanation:

g + 6 > 5

You want g alone on the3 left side.

6 is being added to g, so subtract 6 from both sides of the inequality.

g + 6 - 6 > 5 - 6

g > -1

Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for their pizza. The following table shows the options available to customers.

How many different pizza combinations are there?

Answers

Ansewer-192

Explanation
Answer is ........:::::::::::::::: 192

Help me please I’ll mark brainliest!!!!

Answers

Answer:

1.5

Step-by-step explanation:

1.5 is your answer
Explanation:
0.3 x 5 = 1.5

A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.

Answers

Answer:

5 miles

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length = 4

b = base= 3

c = hypotenuse

4² + 3²

16 + 9 = 25

√25 = 5

The first group had 4 people and shared 3 candy bars equally. The second group had 5 people and shared 4 candy bars equally. The third group had 8 people and shared 7 candy bars equally. The fourth group had 5 people and shared 3 candy bars equally.

Answers

Answer:

what r u asking

Step-by-step explanation:

How can you evaluate 2 to the power of 0

Answers

Answer:

How about this: There's always an implicit 1 in the expansion:

23=2⋅2⋅2⋅1=8

22=2⋅2⋅1=4

21=2⋅1=2

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In the following diagram, BC is parallel to DE.
What is the measure of X?
Angles are not necessarily drawn to scale

Answers

Answer:

Your answer would be 37°

Step-by-step explanation:

Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.

We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.

As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.

Hope this helps you!

Anybody help me please!!!!!!!!!!

Answers

A reflection over the y-axis

Someone please solve this today!!

Please show work !

Also don’t waste your time sending that link that hacks you :/

Answers

Answer:

D

Step-by-step explanation:

bx -b -ax +a

collect like terms

bx - ax. + a - b

x(b-a) + b +a

What is a dot plot ?

Answers

Answer:

A graphical display of data using dots.

Step-by-step explanation:

YALL PLEASEE HELP MEE i am very confused and I need to pass this​

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Answer: Go to
Math-way!! I think it’s the third option though❤️ (give me Brainly pls)

Answer:

i dont know but its b

Step-by-step explanation:

The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.​

Answers

hence (1,7.5) or (5,37.5) points

MARKED BRAINLIEST!!!

Answers

Answer:

(3,-4)

Step-by-step explanation:

Sorry if it is wrong

The run is 2 rise is 3

Alex spent $126.42 on new school clothes and supplies. If $86.23 of that was spent on supplies, what percent of what she spent on supplies?

Answers

Answer:

68%

Step-by-step explanation:

To find the percentage we are going to put the amount she spent on supplies over the total amount she spent and multiply it by 100.

= 86.23 ÷ 126.42 × 100

= 68.2% or 68%

Last year at a certain high school, there were 110 boys on
the honor roll and 75 girls on the honor roll. This year, the
number of boys on the honor roll decreased by 20% and the
number of girls on the honor roll decreased by 4%. By what
percentage did the total number of students on the honor
roll decrease? Round your answer to the nearest tenth (if
necessary).

Answers

.86486486 percent but round it

Answer:

13.5 if you round it

Step-by-step explanation:

Find the new amount of people who got the honor role and subtract that from the total. 185-160=25....which is 13.5% of 1185

Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.

Answers

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.

Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothles Total
27
250
Eighth-graders 223
Ninth-graders 240
10
250
Total
500
463
37
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.02
OB. 0.50
O C. 0.27
O D. 0.05

Answers

Answer:

The relative number of 8th graders tat want smoothies is 0.18. Because when finding relative frequency you divide the number which was 45 by the final total which was 250.

So the correct answer is 0.18

(This is for another question like this)

Your answer would be D.) 0.05

Answer: It’s 0.05

Step-by-step explanation:

Got it correct

please help me :(:(:(:(:(

Answers

Answer:

$1,568.00

Step-by-step explanation:

I=700 x 0.28 x 8 =1568

The simple interest accumulated on a principle of $700 at a rate of 0.28% per year for 8 years is $1,568.00

what two numbers multiply to 36 and add to -20

Answers

Answer:

Those numbers are -18 and -2

Explanation:

(-18)*(-2)=36

-18+(-2)=-18-2=-20

Answer:

x*y=36

x+y=-20

so it would be -18 and -2, :)

Step-by-step explanation:

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