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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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
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
1.
The table below shows the favorite fruits of the 6th graders in Alyssa’s school.
What is the mode of this data set?
https://scope.schoolobjects.com/eduphoria_webcontrols/tests/TestImage.aspx?bnk=cscope&aid=79a723b3-8302-4a87-94fa-3a7a8ae740ee&mode=edit
Answer:
screenshot the data set instead of giving a link then i will be able to help.
Step-by-step explanation:
what two numbers multiply to 36 and add to -20
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:
I NEED HELP IM STUCK!!!!!
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
Answer:
C) 5√2
Step-by-step explanation:
Solve the inequality. g + 6 > 5
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
WILL VOTE BRAINLIEST, 50 POINTS
Answer:
-1
Step-by-step explanation:
[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]
PLEASE Answer asap!!!!
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!
Solve the inequality x + 1 > 5. Then graph the solutions.
write a numerical expression Add 91, 129, and 16, and then divide
by 44. hurry i need help
Answer:
Step-by-step explanation:
5.364
pls help im new to this and i could use a little help on this problem tysm if you do!!:)<33
Answer:
HOOO YOU SHOULD KNO THIS!!!
Step-by-step explanation:
Answer:
the answer is -2.
Step-by-step explanation:
trust me???
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.
Answer:
what r u asking
Step-by-step explanation:
How can you evaluate 2 to the power of 0
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
20=1=1
please help me :(:(:(:(:(
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 is a dot plot ?
Answer:
A graphical display of data using dots.
Step-by-step explanation:
Find the value of x if 2x = 20 .
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.
Someone please solve this today!!
Please show work !
Also don’t waste your time sending that link that hacks you :/
Answer:
D
Step-by-step explanation:
bx -b -ax +a
collect like terms
bx - ax. + a - b
x(b-a) + b +a
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?
Help me please I’ll mark brainliest!!!!
Answer:
1.5
Step-by-step explanation:
In the following diagram, BC is parallel to DE.
What is the measure of X?
Angles are not necessarily drawn to scale
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!
Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.
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.
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).
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
YALL PLEASEE HELP MEE i am very confused and I need to pass this
Answer:
i dont know but its b
Step-by-step explanation:
MARKED BRAINLIEST!!!
Answer:
(3,-4)
Step-by-step explanation:
Sorry if it is wrong
Anybody help me please!!!!!!!!!!
help will mark brainliest, 100 points
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
1 /− 4
Step-by-step explanation:
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?
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%
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?
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.
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.
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
Which classifications apply to the polygon? Check all that apply.
convex
concave
regular
hexagon
octagon
Answer:
B and D
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.
hence (1,7.5) or (5,37.5) points