The given question can be solve using quadratic formula.
The correct option is (c) [tex]3x^2 +8x -10=-8[/tex].
Given:
The given equation is,
[tex]x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}[/tex]---------------------------(1)
Write the general quadratic equation.
[tex]ax^2 + bx +c=0[/tex]
Write the quadratic formula.
[tex]x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}[/tex]------------------------------- (2)
Compare equation (1) and (2).
[tex]a=3\\b=8\\c=-2[/tex]
Substitute the value of [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] in general quadratic.
[tex]3x^2 +8x -2=0[/tex]
Subtract [tex]8[/tex] from each side of above equation.
[tex]3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8[/tex]
Thus, the correct option is (c) [tex]3x^2 +8x -10=-8[/tex].
Learn more about quadratic equation here:
https://brainly.com/question/17177510
A company pays its employees $26 for every 4 hours of overtime worked in a day.
Mike works 9 hours of overtime and is paid $53.
Rachael works 8 hours of overtime and is paid $52.
Tom works 17 hours of overtime and is paid $442.
John works 16 hours of overtime and is paid $100.
Which employee receives an appropriate payment for the hours of overtime worked, according to the given unit ratio?
Answer:
John
Step-by-step explanation:
A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$637.54
Step-by-step explanation:
The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.
3y=6
Find the slope of the line described by each equation
A stainless steel gas grill is list priced at $495. The manufacturer offers a series discount of 25/20/10 to wholesalers and a 25/20 series discount to
retailers. What is the difference between the prices?
Answer:200$
Step-by-step explanation:
Does any one mind helping me on this question I have struggle solving it
answer for (a) attached.
May I please receive help?
Are you looking for a acute angle?
Answer:
Its right angel
Step-by-step explanation:
Sorry if m wrong
please help asap will give brainliest
Answer:
Step-by-step explanation:
11) y = -1x - 2
12) y = -(3/2)x + 3
13) y = 3x - 2
14) y = (3/4)x + 1
15) y = (1/2)x + 1
16) y = -(2/5)x
17) y = 7x + 2
18) y = (4/3)x - 4
Attached graph for 19 and 20
if x is the midpoint of AB, then AX=XB?
Answer:
Yes
Step-by-step explanation:
AX is equal to XB
Can you help me please
What are the outliers for 7,1,9,9,12,25,9,7,7,
anybody help please hehehe
Answer:
It is the second one 20^247
Step-by-step explanation:
At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score
Answer:
The Rams scored 7 points.
Step-by-step explanation:
42/6 = 7
since the Coyotes scored 42 points, you would divide that score by however many they would get for every 1 point the Rams would get.
6x6x6x8x8x8
write the following using index form
ps. I wrote 6^3 X 8^3 and it wasn't right.....where did i go wrong??
Answer:
Step-by-step explanation:
Maybe without the x or use a * instead, like:
6^38^3
or 6^3*8^3
Or maybe read the question again because your answer should be right, if not contact the administrator of the website because sometimes bugs like that can happen.
guys please (number 3)
Answer:
500 < c < 1,700
Step-by-step explanation:
а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?
Find the m, b, and write the equation for the following graph:
Answer:
y = 3, m=0, b=3
Step-by-step explanation:
Hi there! If you look at the graph, we have a horizontal like crossing through y=3. your m value will be 0 as there is no slope. For your b value, it will be 3 as the y-intercept is 3.
I hope this helps!
How can you tell that x and y are NOT directly proportional? A) x is 0 when y is 0. B) y is getting farther away from x. C) x is increasing by the same amount. D) y is increasing by different amounts.
x y
0 0
1 3
2 5
3 9
Answer:
D) y is increasing by different amounts.
Answer:
d
Step-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
What is an equation of the line that passes through the points (4, -1) and (-8, -7)?
Answer:
y=-1/2x - 3
I think this is it, its been a while though.
Is the relationship between the temperature scales proportional?Why or why not?
Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.
Answer:
1759.6
Step-by-step explanation:
8.3 multiplied by 212 i think
Your little brother wants hot chocolate ot be 150 degrees, but you accidentally heated the water to 175 degrees. If after 5 minutes the temperature is 165 and the temperature in your house is 70 degrees, how long will your little brother have to wait to drink his hot chocolate?
Answer:
12.5 minutes
Step-by-step explanation:
it takes 5 minutes to cool 10 degrees
after ten minutes it would be 20 degrees less
then after 2.5 minutes it would be 5 degrees less
so it would take you 12.5 minutes to get 25 degrees less
We know that in 5 minutes, the temperature of the hot chocolate decreased by 10 degrees. We also know that the temperature is fixed at 70 degrees. Now, using the info given, let's solve!
=> 5 minutes = 10 degrees decrease=> 1 minute = 2 degrees decrease=> 1 minute x 12.5 = 2 x 12.5 degrees decrease=> 12.5 minutes = 25 degrees decreaseConclusion:Therefore, my little brother will have to wait for 12.5 minutes to drink his hot chocolate.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
question 4. Write an equation of the line that passes through (1, 2) and (3,-2).
Answer in slope-intercept form
O
Answer:
y=-2x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(3-1)
m=-4/(2)
m=-4/2
m=-2
y-y1=m(x-x1)
y-2=-2(x-1)
y-2=-2x+2
y=-2x+2+2
y=-2x+4
Please mark me as Brainliest if you're satisfied with the answer.
HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?
Answer:
Step-by-step explanation:
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.
Let's try it with the fractions
2
3
and
3
12
12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.
Now you have the following:
8
12
and
3
12
These fractions now have common denominators! Now they're all set for adding or subtracting fractions.
Try another:
2
6
and
3
5
: The least common multiple of 6 and 5 is 30. (the product of the denominators)
Transform each fraction by multiplying by "1":
2
6
⋅
5
5
=
10
30
and
3
5
⋅
6
6
=
18
30
One last problem:
4
9
and
7
6
What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!
4
9
⋅
2
2
=
8
18
and
7
6
⋅
3
3
=
21
18
Ready to go...
Hope this helped!
Calculate the area of trapezium CDEF.
Answer:
i think 24 cm² is answer good luck
Monty Ricker obtained a used car loan of $6,000.00 at 8% for 36 months. The monthly payment is $ 187.80. The balance of the loan after 12 payments is $ 4,159.90. The balance after the 34th payment is $ 380.60.
Answer:
What is the intrest for the 13th payment?
Answer: What is the interset
Step-by-step explanation:
Rationalize the denominator 1/ (5-2√3)
[tex]\qquad[/tex]_________________________
[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]
[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]
[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]
[tex]\qquad[/tex]_________________________
Answer is 2/(5+√13)
Rationalize the denominator 1/ (5-2√3)
pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.
There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.
Let x be the upper left acute angle, and y be the lower right acute angle.
We can say
tan(angle) = opposite/adjacent
tan(x) = 16/5
x = arctan(16/5)
x = 72.645975 approximately
x = 72.6
and also
tan(angle) = opposite/adjacent
tan(y) = 5/16
y = arctan(5/16)
y = 17.3540246
y = 17.4
Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.
Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.
Make y the subject of the formula
5y - 4h = 18
Answer:
[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]
Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.
Step-by-step explanation:
To make y as the subject of equation, we have to find a way to isolate y-variable.
First, add 4h both sides of equation which we obtain:
[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]
Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.
[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]
Thus the answer is y = (18+4h)/5
Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.
[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]
Either one of these solutions work.
_______________
Let me know in the comment if you have any questions.
he A water pail in your backyard has a small hole in it. You notice that it has drained a total of 1.5 liters in 4 days. What is the average change in water volume each day?
Answer:
0.375 liters per day
Step-by-step explanation:
1.5 / 4 = 0.375 liters per day