what is the answer to this equation using the quadratic formula?
3x^2+2x+4x=0
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{+2}x\stackrel{\stackrel{c}{\downarrow }}{+4}=0 \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (2) \pm \sqrt { (2)^2 -4(3)(4)}}{2(3)}\implies x=\cfrac{-2\pm \sqrt{4-48}}{6}[/tex]
[tex]x=\cfrac{-2\pm \sqrt{-44}}{6}\implies x=\cfrac{-2\pm \sqrt{(-1)(2^2)(11)}}{6}\implies x=\cfrac{-2\pm 2~i\sqrt{11}}{6} \\\\\\ x=\cfrac{2(-1\pm i\sqrt{11})}{6}\implies x=\cfrac{-1\pm i \sqrt{11}}{3}[/tex]
mind you that it has two complex roots, or imaginary values.
4
(17) Billy has a babysitting job where he works the exactly 23
hours every day. After 16 days, how many hours will Billy
have worked?
Answer: 368 hours
Step-by-step explanation:
if hes working 23 hours every day, he will have worked 16x23 = 368 hours in 16 days
Please solve the equation shown below
Answer: slope = [tex]\frac{6}{4}[/tex]
Step-by-step explanation:
To find the slope, choose two points. (0,0) and (4,6)
slope = (y2 - y1) / (x2 - x1) = (6 - 0) / (4 - 0) = 6 / 4
Pleaseeeee neeeddd helppp asappp
ANSWER:
Segment TS is a Chord
If AR = 14 , then QS = 14 ×2 = 28
∆ATS is an Isosceles Triangle
HOPE THIS HELP YOU , FOR ANY QUESTION PLEASE ASK ME
800x40 explanation pls
Answer:
800x40=32000
Step-by-step explanation:
Basically its 800 40 times.
Answer:
32,000
Step-by-step explanation:
First put 800 over 40
Second, multiply the 3rd zero by the first zero of 40
Multiply the 2nd zero by the same zero of 40
Multiply 8 by 4 and the result should be 800
Then you multiply 800 by 4.
0 x 4 is 0
0 x 4 is 0
8 x 4 is 32
(Make sure you add the zero from 40)
Put it together and you get 32,000
A population of 75 foxes in a wildlife preserve triples in size every 13 years. the function y equals 75 times 3 superscript x , where x is the number of 13 -year periods, models the population growth. how many foxes will there be after 39 years?
Answer:
675 Foxes
Step-by-step explanation:
y=75*3x
39/13=3
y=75*3*3
y=75*9
y=675
Ms. Arlia is preparing a 80 milliliter vinegar solution to clean out the school’s Science sink. The mixture contains 60% vinegar, and the rest is filled with warm water. However, she quickly realizes that 90 milliliters is not enough, and the concentration of the mixture is too high. She adds water to her existing solution until the percentage of the new mixture is 15% vinegar. How many total milliliters of water did Ms. Arlia have in the mixture?
Answer:
1.3
Step-by-step explanation:
get it
3x - 5y = 15.
(a) Create a table of values for at least 4 points. Show your work on how you found the values for each
coordinate pair, and validated the points were on the line.
Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4
Answer:
[tex](0,-3)[/tex]
[tex](5,0)[/tex]
[tex](10,3)[/tex]
[tex](20,9)[/tex]
Step-by-step explanation:
Given
[tex]3x - 5y = 15[/tex]
Required
Form 4 pairs of (x,y) values
This question will be answered based on assumptions of x and y values;
Haven said that:
For point 1
Take x = 0
Substitute 0 for x in [tex]3x - 5y = 15[/tex]
[tex]3(0) -5y = 15[/tex]
[tex]-5y = 15[/tex]
Solve for y
[tex]y = 15/-5[/tex]
[tex]y = -3[/tex]
So; the first pair is:
[tex](0,-3)[/tex]
For point 2:
Take y = 0
Substitute 0 for y in [tex]3x - 5y = 15[/tex]
[tex]3x - 5(0) = 15[/tex]
[tex]3x = 15[/tex]
Solve for x
[tex]x = 15/3[/tex]
[tex]x = 5[/tex]
So, the pair is
[tex](5,0)[/tex]
For point 3:
Take x = 10
Substitute 10 for x in [tex]3x - 5y = 15[/tex]
[tex]3(10) - 5y = 15[/tex]
[tex]30 - 5y = 15[/tex]
Collect Like Terms
[tex]-5y = 15 - 30[/tex]
[tex]-5y = -15[/tex]
Solve for y
[tex]y = -15/-5[/tex]
[tex]y = 3[/tex]
So, the pair is:
[tex](10,3)[/tex]
For point 4:
Take y = 9
Substitute 9 for y in [tex]3x - 5y = 15[/tex]
[tex]3x - 5(9) = 15[/tex]
[tex]3x - 45 = 15[/tex]
Collect Like Terms
[tex]3x = 45 + 15[/tex]
[tex]3x = 60[/tex]
Solve for x
[tex]x = 60/3[/tex]
[tex]x = 20[/tex]
So, the pair is:
[tex](20,9)[/tex]
Answer:
the guy above me his answer is correct
Step-by-step explanation:
i got a A on my TGA
Which is the pattern for factoring the difference of squares?
a. (x^2-y)^2
b. (x+y)(x+y)
c. (x-y)(x-y)
d. 2(x-y)
Answer:
D. 2(x-y)Step-by-step explanation:
d.
[tex]2(x - y) \\ 2x - 2y \\ [/tex]
ANYONE SMART AT MATH NEED HELP ON THIS
A bag of marbles contains 6 blue marbles and 1 green marble. Mary and Frank will draw a blue marble followed by a green marble, without replacing the first marble. Mary says the probability will be 6/49, and Frank says that the probability will be 1/7. Who is correct? Explain and justify your answer by showing work.
---------------Is correct because___
Answer:
Frank is correct
Step-by-step explanation:
Because if the denominator was 49 then the numerator would be 7
1/7=1/7
1/7=7/49
7*7=49
7*1=7
7/49=1/7
Hope this helped.
A brainliest is always appreciated.
find the equation of the line
Answer:
[tex]\mathsf{y=-\dfrac13x+5}[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]\mathsf{y=mx+b}[/tex]
(where m is the slope and b is the y-intercept)
From inspection of the graph, the y-intercept is at (0, 5)
Therefore, b = 5
Choose another point on the line, e.g. (3, 4)
Now use the slope formula to find the slope:
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
where:
[tex]\mathsf{(x_1,y_1)=(0,5)}[/tex][tex]\mathsf{(x_2,y_2)=(3,4)}[/tex][tex]\implies \mathsf{slope=\dfrac{5-4}{0-3}=-\dfrac13}[/tex]
Therefore, the equation of the line is:
[tex]\mathsf{y=-\dfrac13x+5}[/tex]
Answer:
[tex]y=-\frac{1}{3} + 5[/tex]
Step-by-step explanation:
Pick two points (0,5) & (3,4) find the slope [tex]m= \frac{y_{2} - y_1 }{x_2 - x_1}[/tex] >> [tex]m = \frac{4-5}{3-0} = -\frac{1}{3}[/tex]Find y-intercept (where x is 0) >> y = 5At Gina's Beading Boutique, 80% of the 70 beads on clearance are plastic. How many plastic beads are there on clearance?
Answer:
56
Step-by-step explanation:
1% of 70 is 0.7
0.7 x 80 is 56
Evaluate 2^−1 + 2^−1.
Answer:
1
Step-by-step explanation:
2^−1 + 2^−1
2x2^-1
1
Choose the student who correctly used substitution to determine if 19 was a solution to the equation. 6 m = 24. 6 19 = 24. 24 = 24. 19 is a solution. 6 m = 24. 6 19 = 24. 25 not-equals 24. 19 is not a solution. 6 m = 24. 6 24 = 24. 30 not-equals 24. 19 is not a solution. 6 m = 24. 6 19 = 24. 25 = 24. 19 is a solution.
Answer:
it is Juan’s work I just did the answer it works
Step-by-step explanation:
Please help me solve this I need some help
Answer:
f = 8
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 2f - 10 = 6Add 10 to each side, so it now looks like this: 2f = 16Divide each side by 2 to cancel out the 2 next to f. It should now look like this: f = 8I hope this helps!
Answer:
f=8
Step-by-step explanation:
Step 1: Distribute
2(f) + 2(-5) = 6
2f - 10 = 6
Step 2: Add 10 to both sides to get 2f alone
2f = 16
Step 3: Divide both sides by 2 to get f alone
f = 8
five more than the quotient of a number and eight is 42
Answer:
5+n/8= 42
Step-by-step explanation:
Answer:
5+n/8= 42
Step-by-step explanation:
which number comes after 3,265 and before 5,631?
Step-by-step explanation:
after 3265 , 3266 will come
before 5631 , 5632 will come
What is the correct answer for the first and second blank?
Answer:
Below.
Step-by-step explanation:
Using the given equation the rock will fall 16*(2)^2
= 16 * 4
= 64 feet in 2 seconds.
Therefore the rock will not hit the water in 2 seconds.
I want to choose a license plate which is 3 characters long, where the first character is a letter, the last character is a digit, and the middle is either a letter or a digit. I also want there to be two characters on my license plate which are the same. How many ways are there for me to choose a license plate with these restrictions
Answer:
Step-by-step explanation:
* * *
let the middle digit is a letter.
as first and second letters are same so consider them as one letter.
It can be filled in 26 ways.
third place is filled in 10 ways (0,1,2,3,4,5,6,7,8,9)
total number of ways=26×10=260 ways
again consider second place is a digit.
so consider second and third place as one digit.
it can be filled in ways=10
first place can be filled in ways=26
Hence number of ways=26×10=260
so total number of ways=260+260=520
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?
Answer:
$270
Step-by-step explanation:
130%/100%=$351/X
(351*100)/130=$270
2x and 2y are like terms. True False
plzzz help mee
false bc one's an x and the other's a y.
Step-by-step explanation:
The answer is false. 2x and 2y are no like terms because they do not have the same variable
if a meter has 100 centimeters what is the ratio of 15 cm to 2 m
?
the answer is 15cm (pls mark brainlest)
Answer:
3:40
Step-by-step explanation:
We need both measurements in the same units.
1 m = 100 cm
2 m = 2 × 1 m = 2 × 100 cm = 200 cm
15 cm to 2 m = 15 cm to 200 m
Divide both numbers in the ratio by 5 cm.
15 cm to 200 cm = 3:40
5. The diagram shows two paths that lead through a park. Would a jogger run a greater distance on Path A
or Path B? Explain.
Answer:
I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.
Step-by-step explanation:
A local school has clubs. The number of students in each club is shown in the bar graph below. Use this bar graph to answer the questions.
(a) Which club has the most students?
Drama
Glee
Debate
French
Math
Chess
How many students does that club have?
(b) How many more students are in the Glee Club than in the Debate Club?
(c) How many clubs have fewer than 6 students?
The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of best fit. Then use the equation to predict how long it will take to climb and come back down the three rock formations. Type the correct answer in each box. Round your answers to the nearest hundredth.
Answer:
40
80
160
Step-by-step explanation:
Please help,I'm confused as to how to find the area with the shapes connected,thankyou.
Answer: 104 ft²
Step-by-step explanation:
To find the area of the figure, we can find the area of the rectangle and the triangle. After that, we add the two areas together.
Rectangle
A=bh
A=10×8 [multiply]
A=80
----------------------------------------------------------------------------------------------------------------
Triangle
A=bh/2
A=6×8/2 [multiply]
A=48/2 [divide]
A=24
Now that we have the areas, we can add them together.
A=80+24 [add]
A=104 ft²
Now, we know that the area is 104 ft².
Corresponding Angles
I
16. Given that I lm, find the value of 'X'.
4x + 10
m
8x – 25
Answer:
x = 8.75
Step-by-step explanation:
The given angles are corresponding and congruent, thus
8x - 25 = 4x + 10 ( subtract 4x from both sides )
4x - 25 = 10 ( add 25 to both sides )
4x = 35 ( divide both sides by 4 )
x = 8.75
3/5÷12/7 step by step simply pls
Answer:
7/20
Step-by-step explanation:
[tex]\frac{3}{5}\div \frac{12}{7}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{3}{5}\times \frac{7}{12}[/tex]
[tex]Cancel\;common\;factor[/tex]
[tex]=\frac{1}{5}\times \frac{7}{4}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{7}{5\times \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\times \:4=20[/tex]
[tex]=\frac{7}{20}[/tex]
Answer = 7/20
~Learn with Lenvy~
Determine the x- and y-intercepts of the graph of 3x+9y=18. Then plot the intercepts to graph the equation.
Answer:
[tex]x[/tex] intercept is at (6, 0).
[tex]y[/tex] intercept is at (0, 2).
Step-by-step explanation:
Given the equation of graph:
[tex]3x+9y=18[/tex]
To find:
[tex]x[/tex] and [tex]y[/tex] intercepts of the graph and then plotting the graph.
Solution:
[tex]x[/tex] intercept is the point on graph where the value of [tex]y[/tex] coordinate is zero.
[tex]y[/tex] intercept is the point on graph where the value of [tex]x[/tex] coordinate is zero.
Putting [tex]y=0[/tex] :
[tex]3x=18\\\Rightarrow x = 6[/tex]
So, [tex]x[/tex] intercept is at (6, 0).
Putting [tex]x=0[/tex] :
[tex]9y=18\\\Rightarrow y = 2[/tex]
So, [tex]y[/tex] intercept is at (0, 2).
Plotting the points of [tex]x[/tex] and [tex]y[/tex] intercepts on the graph and joining them to form the graph of given equation.
need help!!!!!!!!!!!!!
Answer:
3rd answer
Step-by-step explanation:
they all need to be parallel so that the angles are congruent