solve 2x^2+x-6=0
1. {-3/2, 2}
2. {}
3. {-2, 3/2}
Answer:
3. {-2, 3/2}
Step-by-step explanation:
[tex]\mathrm{Solve\;with\;the\;quadratic\;formula}[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:2\left(-6\right)}}{2\cdot \:2}[/tex]
[tex]\sqrt{a^1-4*2(-6)=7}[/tex]
[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:2}[/tex]
[tex]\mathrm{Separate\:the\:solutions}[/tex]
[tex]x_1=\frac{-1+7}{2\cdot \:2},\:x_2=\frac{-1-7}{2\cdot \:2}[/tex]
[tex]x=\frac{-1+7}{2*2}:\frac{3}{2}[/tex]
[tex]x=\frac{-1+7}{2*2}:-2[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=\frac{3}{2},\:x=-2[/tex]
~Learn with Lenvy~
Answer:
Step-by-step explanation:
answer- {-2, 3/2}
steps are in the image.
Alma borrows money from her mom to buy a $150 bike. She gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full. Alma wrote this equation to represent the amount y that she will have paid her mom after x months.Equation:y 5 40x 1 10Is her equation correct? How did she get that equation? If it is not correct, write a correct equation.
Given:
Total amount of bike = $150
Alma gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full.
Alma's equation: [tex]y=40x+10[/tex]
To find:
Whether her equation is correct or not.
Solution:
Let y be the amount that she will have paid her mom after x months.
She pays $10 each month.
She will $10x in x months.
Initially she gives $40 to her mom at the time of purchase. So, total amount she pays after x months is
Total amount [tex]=40+10x[/tex]
Since, y represents the amount that she will have paid her mom after x months, therefore
[tex]y=40+10x[/tex]
Alma multiply the variable x with 40 instead of 10.
Hence, Alma is incorrect and the correct equation is [tex]y=40+10x[/tex].
1.6 is what percent of 5?
Answer:
32%
Step-by-step explanation:
Can someone PLEASE help me
Complete the table below. Show all your work. ILL PUT YOU AS BRAINLIEST PLSSS
Answer:
See below.
Step-by-step explanation:
y=2x+3
-----
y=2(-2)+3
y=-4+3
y=-1
y=2(-1)+3
y=-2+3
y=1
y=2(0)+3
y=0+3
y=3
y=2(1)+3
y=2+3
y=5
y=2(2)+3
y=4+3
y=7
-hope it helps
x = 4y - 2z - 15
z = 2y - 4
5x = 10
Answer:
99
Step-by-step explanation:
It took Jaytree 38 seconds to rip about half a DVD.
About what is Jaytree's "ripping rate” in DVDs per
minute?
Answer:1
Step-by-step explanation:
If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 2p2 y2 = 4px y2 = 4py.
The equation for a parabola does become [tex]\rm x^2=4py[/tex].
What is parabola?A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.
Given
The derivation for the equation of a parabola with a vertex at the oriin.
The equation of the parabola can be written as;
[tex]\rm (x)^2 + (y - p)^2 = (0)2 + (y + p)2\\\\x^2 + y^2 - 2py + p^2 = y^2 + 2py + p^2\\\\ x^2= 2py+2py\\ \rm \\x^2=4py[/tex]
Hence, the equation for a parabola does become [tex]\rm x^2=4py[/tex].
To know more about parabola click the link given below.
https://brainly.com/question/3719015
What is a Integers and explain some examples
An integer is any whole number, no fractions or decimals
Some examples are: 1, 6, -8, -4, 9
Which of the following is a way that anorexia nervosa is different from bulimia nervosa?.
One key difference between anorexia nervosa and bulimia is the type of nocive relationship patients with these disorders have with food.
What do anorexia nervosa and bulimia have in common?These two are eating disorders, which means they are diseases that involve nocive or abnormal relationships with food.
What makes these disorders different?Anorexia nervosa patients avoid eating, while bulimia patients eat but use purges such as induced vomit to avoid gaining weight.Patients from anorexia nervosa often have a low weight, while a patient from bulimia can still have a normal weight.Binge eating is common in bulimia but not in anorexia nervosa.Learn more about anorexia in: https://brainly.com/question/2681827
Solve the following system of Equations in any method you choose.
3x - y = 7
2x + y = 8
Answer:
x=3 and y=2
Step-by-step explanation:
Rewrite equations:
3x−y=7;2x+y=8
Step: Solve3x−y=7for y:
3x−y=7
3x−y+−3x=7+−3x(Add -3x to both sides)
−y=−3x+7
−y
−1
=
−3x+7
−1
(Divide both sides by -1)
y=3x−7
Step: Substitute 3x−7 for y in 2x+y=8:
2x+y=8
2x+3x−7=8
5x−7=8 (Simplify both sides of the equation)
5x−7+7=8+7 (Add 7 to both sides)
5x=15
5x5
=
15/5
(Divide both sides by 5)
x=3
Step: Substitute 3 for x in y=3x−7:
y=3x−7
y=(3)(3)−7
y=2(Simplify both sides of the equation)
What is the solution to the inequality?
Express yourself in interval notation.
Answer:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1[/tex]
Expand [tex]-\frac{2}{3}\left(2x-\frac{1}{2}\right)\le \frac{1}{5}x-1[/tex] [tex]-\frac{4}{3}x+\frac{1}{3}[/tex]
[tex]-\frac{4}{3}x+\frac{1}{3}\le \frac{1}{5}x-1[/tex]
[tex]\mathrm{Subtract\:}\frac{1}{3}\mathrm{\:from\:both\:sides}[/tex]
[tex]-\frac{4}{3}x+\frac{1}{3}-\frac{1}{3}\le \frac{1}{5}x-1-\frac{1}{3}[/tex]
[tex]Simplify[/tex]
[tex]-\frac{4}{3}x\le \:-\frac{4}{3}+\frac{1}{5}x[/tex]
[tex]\mathrm{Subtract\:}\frac{1}{5}x\mathrm{\:from\:both\:sides}[/tex]
[tex]-\frac{4}{3}x-\frac{1}{5}x\le \:-\frac{4}{3}+\frac{1}{5}x-\frac{1}{5}x[/tex]
[tex]Simplify[/tex]
[tex]-\frac{23}{15}x\le \:-\frac{4}{3}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}[/tex]
[tex]\left(-\frac{23}{15}x\right)\left(-1\right)\ge \left(-\frac{4}{3}\right)\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{23}{15}x\ge \frac{4}{3}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}15[/tex]
[tex]15\cdot \frac{23}{15}x\ge \frac{4\cdot \:15}{3}[/tex]
[tex]Simplify[/tex]
[tex]23x\ge \:20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}23[/tex]
[tex]\frac{23x}{23}\ge \frac{20}{23}[/tex]
[tex]\mathrm{Simplify}[/tex]
Hence the final answer is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \frac{20}{23}\:\\ \:\mathrm{Decimal:}&\:x\ge \:0.86956\dots \\ \:\mathrm{Interval\:Notation:}&\:[\frac{20}{23},\:\infty \:)\end{bmatrix}[/tex]
Please help me with this
NEED THE ANSWER ASAP
Answer:
it is ASA............ .
Name the most pythagorean triplets you can
1. 3, 4, 5
2. 5, 12, 13
3. 7, 24, 25
4. 8, 15, 17
5. 9, 40, 41
6. 11, 60, 61
And so on...
The measures of the angles of a triangle are shown in the figure below solve for x
Answer:
X=6°
Step-by-step explanation:
Here, 4x+3+63+90=180 [sum of interior angles of a triangle is 180°]
or, 4x+156=180
or, 4x=180-156
or, 4x=24
or, X=24/4
Hence, x= 6°
Asap! I’ll mark you brainlest
What does how much money does he have before mean?
Add
Subtract
Divide
Multiply
[tex][Hello,BrainlyUser][/tex]
Answer:
Subtract
Step-by-step explanation:
Given;
Mr. Kawasaki was given $14.25.
Now he has $20.51
How much money did he have before.
Thus, we use subtraction.
$20.51 - $14.25 = 6.26
[CloudBreeze]
Amber’s meal costs $14.50 at a local restaurant. The server did their job very well and Philip would like to leave a 20% tip. What amount of money should he leave as a tip?
Answer:
Total cost is $17.40
Step-by-step explanation:
First..
what is 20%
20/100 = .2 or calculator
Then
Add. .20 ×14.50
you will get 2.9
Final
Add 2.9 + $14.50
= $17.40
vivi is a drummer for a band. she burns 756 calories while drumming for 3 hours. she burns the same number of calories each hour how many calories does vivi burn per hour
Answer:
252 cph
Step-by-step explanation:
756 divide by 3 is 252
Answer:252
Step-by-step explanation:
Kayla buys a shirt for 18. 9 she pays with a $10 bill homw much change should she reseive
Answer:
none
Step-by-step explanation:
Kayla is buying an $18.90 shirt for $10, she is underpaying $8.90.
Therefore, she needs to pay another $8.90 to pay for the full price of the shirt.
Unless there was a discount on the shirt, this answer makes the most sense to me.
Over the last 8 nights elyse earned the following tips {105,120,84,95,100,150,132,140}. If she earns $140 a night for the next four nights, which measure of center would increase more, the mean or median?
Answer:
The mean would increase more
( -6p - 8 ) - ( 2p - 6 ) plz :)
Answer:
-8p-14
Step-by-step explanation:
Find the equation in slope-intercept form of a line through (2, 4) with slope 0. Oy=2 Ox=2 Oy=4 0 x = 4
The bases of the prism below are right triangles. The volume of the prism is 360
units. Find the height of the prism.
Answer:
15
Step-by-step explanation:
The surface of one of the triangles making the base of the prism is [tex]\frac 12 \cdot 6 \cdot 8 = 24[/tex].
At this point we can express the volume in terms of base surface and height as in [tex]360 = 24\cdot h[/tex] from which we can get the height by dividing by 24 both sides:
[tex]h= \frac{360}{24} = 15[/tex]
A curve has equation y x = + 2 5 y and a line has equation 2 5 x y + = 1.
The curve and the line intersect at the points A and B. Find the coordinates of the mid-point
of the line AB.
Answer:
Watch DIm
Step-by-step explanation:
Watch dim channel
Search up dim channel
He has 24 subs
Or nearly 24 subs
and please sub him
Does this graph represent a function? Why or why not?
TO
-10884
10
8
-104
A. Yes, because it has two straight lines.
B. Yes, because it passes the vertical line test.
O C. No, because it is not a curve.
D. No, because it fails the vertical line test.
Answer:
D. No, because it fails the vertical line test
Step-by-step explanation:
A function can only have 1 output for each input. If you are able to draw a vertical line and it touches the graph twice, then it has failed the vertical line test and is therefore not a function.
Hope this helps~! Brainliest is appreciated if it does!
A real estate agent is trying to find the average credit score of some of her clients. She compiled the scores in the table below. What is the mean credit score in this group? (Round to the nearest whole point, if applicable. ) 787 615 550 674 784 773 620 720 704 a. 668 b. 784 c. 692 d. 704 Please select the best answer from the choices provided A B C D.
Answer:
Step-by-step explanation:
First Add the scores.
Score Total = 787 + 615 + 550 + 674 + 784+ 773 + 620 + 720 + 704
Score Total = 6227
Now divide by the number of members of the sum.
Number of members = 9
The average score = Total Score / number of members
The average score = 6227 / 9 = 691.9
The average score = 692 which is C
*) 3. Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6). I
Answer:
3y = -x + 17
Step-by-step explanation:
Equation of a line is in the form:
y = mx + c
where m is slope and c is intercept
Mathematically;
slope m = (y2-y1)/(x2-x1)
= (6-4)/(-1-5) = 2/-6 = -1/3
So the equation is now;
y = -x/3 + c
Multiply through by 3
3y = -x + 3c
To get c substitute the value of a point say (5,4)
x = 5 and y = 4
3(4) = -5 + 3c
12 = -5 + 3c
12+ 5 = 3c
3c = 17
c = 17/3
So the equation is
y = -x/3 + 17/3
and that is
3y = -x + 17
A trapezoid has sides of length 8 miles, 3 miles, 8 miles, and 5 miles. What is the perimeter?
Step-by-step explanation:
perimeter= sum of all sides
= 8+3+8+5
=24
In the number 7^3, what is the base?
Answer:
base -7(exponent is 3)
Step-by-step explanation: