Please help me, I am, tired.
Show all work to solve 3x^2 − 5x − 2 = 0.
If you answer, please tell me the reason for your steps. I've fallen behind in Algebra and need visuals to finally understand.
Answers
Answer:
(2,0) and (-1/3,0)
x = 2
x = -1/3
Step-by-step explanation:
Hi there!
You'll notice that this equation is a quadratic. When graphed, this equation looks like a parabola that crosses the x-axis at two points, which can be written as ordered pairs with an x value and a y value.
We know that both of these points will have a y value of 0, but we don't know what the x values of the points are—these are what we want to find.
(Check out the graphing program Desmos—type in your equation and it will graph it out for you.)
Notice that your equation follows this structure:
[tex]ax^2+bx+c=0[/tex]
In our case,
[tex]a=3\\b=-5\\c=-2[/tex]
We can plug our values of a, b, and c into the quadratic equation to find the two x values.
I've attached a picture of my work. At the top is the quadratic equation. I substituted our values in and solved.
You'll notice that the answer I ended up with has a ± symbol. We have to simplify this down two different ways to get our two answers: once using the plus sign, once using the minus sign. This will give us two different values for x.
We'll start with the plus sign:
[tex]\frac{5+7}{6} \\=2[/tex]
So: one of our x values is 2.
Now the minus:
[tex]\frac{5-7}{6} \\=-\frac{1}{3}[/tex]
Our other x value is -1/3.
You can check to make sure these answers work by plugging them back into the original equation for x. If they work, the left side of the equation should boil down to 0.
Let me know if you have any other questions! Best of luck with getting caught up in Algebra!
Related Questions
What is 1 1/4 + 2/3 it didn’t show me the answer that I was looking for I’m adding there were showing me to multiple.
Answers
Answer:
1 11/12
Step-by-step explanation:
rewriting our equation with parts separated
=1+14+23
Solving the fraction parts
14+23=?
Find the LCD of 1/4 and 2/3 and rewrite to solve with the equivalent fractions.
LCD = 12
312+812=1112
Combining the whole and fraction parts
1+1112=11112
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
54+23
Applying the fractions formula for addition,
=(5×3)+(2×4)4×3
=15+812
=2312
Simplifying 23/12, the answer is
=1 11/12
Answer:
1 11/12
Step-by-step explanation:
add wholes = 1
then fractions 1/4 = 3/12 2/3=8/12
this then equals 1 11/12
Which pair of angles are corresponding angles?
Answers
Answer:
Corresponding Angles
Step-by-step explanation:
Both [tex]\angle 4[/tex] and [tex]\angle 8[/tex] are Corresponding Angles, they are in the same side of the transversal line, and where a line crosses two other lines.
Step-by-step explanation:
<4 and <8 are corresponding angles because they are on the same side of the transversal and are at the same location and they are congruent meaning they are equal
The question is: what is the approximate area of the circle when 3.14 is used for π?
Answers
Answer:
the answer is 113 in. squared
Answer:
The approximate are of the circle is 1017 in².
For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there
Answers
I have three squares and I want to divide them by 3/4
How many pieces would I have
Answers
Answer:
4
Step-by-step explanation:
i belive this is the answer becuase 3 divided by (3/4)
PLEASE HELP WILL GIVE BRAINLIEST!!!
Answers
Answer:
i think its b is it isn't dont beat me up
geometry solving for x in triangles
Answers
Answer:
- 8°
Step-by-step explanation:
Step 1:
40° + x + 58° + 90° = 180° Sum of a Δ
Step 2:
188° + x = 180° Combine Like Terms
Step 3:
x = 180° - 188° Subtract 188 on both sides
Answer:
x = - 8°
Hope This Helps :)
PLZ HELP ME I WILL GIVE THANKS 5 STARS BRAINLIEST
Answers
Answer:
$0
Step-by-step explanation:
71 + 62 + 59 = $192192 ÷ 3 = $64Because she already has an average of $64, she can't spend anymore. Therefore, the answer is $0I hope this helps!
Answer:
she can spend no more than 64, and if this is incorrect, do 63
Step-by-step explanation:
pls help ill give brainiest
For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?
Answers
Answer:
Step-by-step explanation:
for 182 miles you need 14 gallons
??????? 8 gallons
8/14=x/182
x=182*8/14
x miles=104 miles
If h(x) = 6x + (x-1), what is the value of h(-3)?
Answers
Answer:
-22
Step-by-step explanation:
y=6x+(x-1) original equation
y=6(-3) +(-3-1) substitute x value
y= -18 + -4 simplify
y=-18-4 solve
y=-22
Carolina goes to a paintball field that charges an entrance fee of \$18 and $0.08, per ball. The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Let B represent the number of paintballs that Carolina buys.
1) Which inequality describes this scenario?
Answers
Answer: 18+0.08B>75
Step-by-step explanation: 713 paintballs
The inequality equation is given as 18 + 0.08B ≥ 75 then the number of the paintballs that Carolina buys is 713.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Carolina goes to a paintball field that charges an entrance fee of \$18 and $0.08, per ball.
The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Let B represent the number of paintballs that Carolina buys.
Then the inequality equation will be given as
18 + 0.08B ≥ 75
Then the value of B will be
0.08B ≥ 75 - 18
B ≥ 712.5 ≈ 713
More about the inequality link is given below.
https://brainly.com/question/19491153
A book has 240 pages and each day 10 pages are
read. The number of pages left, p, is given as a
function of d, the time in days, where
p = 240 – 10d . Graph the equation, then use its
x-intercept to determine when the book will be
finished?
Answers
Answer:
24 days is the answer
Step-by-step explanation:
If the book is 240 pages and each day 10 pages are read you could easily divide 240 by 10 and get 24. However, you need to use the formulas for your answer I suppose. So, to get the x-intercept this is what you do. You have to use the slope-intercept form y = mx+b where m=-10 and b = 240 so you end up with y = -10x+240
So now you solve for x-intercept
0 = -10d+240
subtract 240 from both sides so 0 = -10d + 240
-240 -240
you are left with -240 = -10d. Now simplify and divide each term by -10 -240/-10 = 24 and -10d/-10 = d
you are left with d = 24 or 24 = d
You graph the equation by placing a point at 240 on the y axis and 24 on your X-axis.
Your bank account has a balance of $12 . You deposit $60 . What is your new balance?
Answers
Answer:
$72
Step-by-step explanation:
Just add it together
find two numbers adding to 40 such that the sum of their square is as small as possible
Answers
Answer: 20+20
Step-by-step explanation: The sum of their square is 800 which is the lowest i've found so far
assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions be answered?
Answers
Given:
Total number of questions = 6
Choice for each question (in MCQ) = 4
Assuming that no questions are left unanswered.
To find:
The total number ways to answer the quiz, assuming that no questions are left unanswered.
Solution:
Here, Number of ways to answer each question = 4
To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.
Total number of ways to answer six-question quiz with 4-choice multiple choice questions is
[tex]4\times 4\times 4\times 4\times 4\times 4=4096[/tex]
Therefore, the required number of ways is 4096.
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
We have,
For each question on the quiz, there are 4 choices.
Since each question is independent of the others, the total number of ways to answer the entire quiz can be found by multiplying the number of choices for each question together.
There are 6 questions with 4 choices each.
4 choices for the 1st question * 4 choices for the 2nd question * 4 choices for the 3rd question * 4 choices for the 4th question * 4 choices for the 5th question * 4 choices for the 6th question
= [tex]4^6[/tex]
Using exponential notation,
[tex]4^6[/tex] = 4 * 4 * 4 * 4 * 4 * 4 = 4096
Therefore,
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
What does X equal x+10
Answers
I WILL MARK YOU AS BRAINLIEST
PLEASE HELP AS SOON AS POSSIBLE
Answers
Answer:
6
Step-by-step explanation:
Answer:
$15
Hope this helps! Please mark Brainliest!
1. Canada's population is currently increasing at a rate of 1.4% per year. If our current population is 37 590 000, what will our population be next year?
2. A bag of potato chips costs about $0.50 to make. If they are sold for 336% of the wholesale price, what do they cost in stores?
3.In a bicycle store, a $500 bicycle is marked, "Get a 36% discount." What is the sale price of the bicycle?
Answers
Answer:
1. 37590000x0.986=37034160
2. 0.5x3.36=1.68
3. 500x0.64=320
-3 3/8 x 3/8. and can u explain step by step. Pls Help me
Answers
Answer: -2 1/8
Step-by-step explanation: I can't explain but i think that is the answer.
x+3+7(x-5) show work
Answers
Answer:
8x-32
Step-by-step explanation:
x+3+7(x-5)
Distribute
x+3 +7x -35
Combine like terms
x+7x +3 -35
8x-32
Nine children and six adults bought tickets to the circus.
Which expression represents the total cost if c represents
the cost of a child's ticket and a represents the cost of an
adult's ticket?
Answers
Answer:
below
Step-by-step explanation:
9c + 6a = total cost
Please help I’m stuck
Answers
Answer: your answer would be c (-12,-24)
Step-by-step explanation: the coordinates of R is (-2,-4) so you do 6 times -2 which gives you -12 and then 6 times -4 which gives you -24. You put the numbers together which makes (-12,-24).
I hope this helps you out stay safe.
To be honest, everything!
Answers
Answer:
?
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
same
(02.02 MC) A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice Does a possible solution of (12.36) make sense for this function? Explain your answer.
Answers
Answer:
D step by step explanations
A stage for a wedding venue needs to measure 280 square feet.The length is listed as (x-12), and the width is listed as (x-18).What are the dimensions of the stage?
Answers
Answer:
Length: 20, Width: 14
Step-by-step explanation:
(x-12)(x-18)
x^2-30x+216=280
x^2-30x-64=0
x=32,-2
Plug 32 into x, and see if it equals 280
Solve: -19 = X - 19 halppppp
Answers
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
-19 = x - 19
Step 2: Solve for x
Add 19 to both sides: 0 = xRewrite: x = 0Step 3: Check
Plug in x to verify it's a solution.
-19 = 0 - 19
-19 = -19
Answer:
0
Step-by-step explanation:
Dividing a number by 2 is the same as multiplying that number
by:
Answers
If you divide by 2, you are dividing the number in half, meaning if you multiply by 1/2, you get the same result.
For example the number 16
16/2=8
16 times 1/2=8
Hope this helps!!
What’s 6•5+-36 divided by 6
And the dot is multiplication!
Answers
Answer:
the answer is -1 this is correct because a calculator is alwayd your frie d
Answer: -1
Step-by-step explanation:
6 times 5 is 30, then you add negative 36, which is really subtraction, so you get -6 divided by a positive 6 (negative divided by a positive is negative) which gives you -1
what is 32.72 rounded to the nearest tenth
Answers
Answer:
32.7
Step-by-step explanation:
Two doesn't round up seven, so it just gets knocked off the end.
what is 3х + 9 = 24?
Answers
Answer:
answer is 5
Step-by-step explanation:
Step 1: Subtract 9 from both sides.
3x+9−9=24−9
3x=15
Step 2: Divide both sides by 3.
3x
3
=
15
3
x=5