Step-by-step explanation:
[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]
Equation from the positive root:
[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]
Equation from the negative root:
[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]
Answer:[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.
Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .
To Find : The roots of the equation .
Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .
⇒ 3x² -5x - 7 = 0.
Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.
[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]
On substituting respective values ,
⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.
⇒x = 5 ± √ [ 25 + 84 ]/ 6 .
⇒ x = 5 ± √ 109 / 6 .
⇒ x = 5 + √109 / 6 , 5 - √109 / 6.
[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]
I need help please
Answer:
x=-4
Step-by-step explanation:
When the slope is undefined, we have a vertical line
A vertical line is of the form
x=
We have a point ( -4,2) so the x coordinate is -4
x=-4
Answer:
( -4,2)
Step-by-step explanation:
someone help fast please
Answer:
c. supplementary angles
Step-by-step explanation:
The expression 7(y-5)is equivalent to
(2a²b) (6ab) =
Exponents
Answer:
The answer is (2a²b)(6ab)=12a³b².
Can someone help me out and fast?
Answer:
yes, lets see...no that is not a function.
Step-by-step explanation:
no explanation...that's where your on your own, sorry. (its very hard to explain,
but i know that its impossible to have a function like THAT)
Answer:
no because there are 2 lines on the same x axis
Step-by-step explanation:
The sum of three numbers is 97. The third number is 2 times the second. The second number is 9 less than the first. What are the numbers?
Answer:
The numbers are 26.5, 53 and 17.5.
Step-by-step explanation:
97=x+(x-9)+2x
97+9=4x
106/4=4x/4
x= 26.5
x-9 = 17.5
2x= 53
3х + 11 = 20
Helppppp
Answer: x=3
Step-by-step explanation: subtract 11 from 20 and you'll get 9. Nine divided by 3= 3. Therefore, x=3
Answer:
x = 3
Step-by-step explanation:
3x + 11 = 20
Subtract 11 from both sides.
3x + 11 = 20
3x -11 = -11
3x = 9
Divide both sides by 3
3x/3 = 9/3
Simplify the equation
x = 3
Check; Plug 3 into the equation
3(3) + 11 = 20
9 + 11 = 20
Hope this helps!
-Jerc
Change 3.5 decimal into a percent
Like out of 100? Then it would be 3.5%
The answer you're looking for is: 350%
(Tell me if i'm wrong please)
Can you simplify -6/0 ?
Answer:
It can also be termed as "undefined".
Step-by-step explanation:
Hope that this post has helped you out in some way! :)
SILVER IS CURRENTLY WORTH
$22.95 PER OUNCE. IF MR. JUDD
HAS 97.6 OUNCES OF SILVER,
HOW MUCH IS IT WORTH?
Answer:
2239.92
Step-by-step explanation:
22.95 x 97.6 is how i solved this.
evaluate the function when x = 5
P(x) = -3 + 4x
Answer:
P(x) = 17
Step-by-step explanation:
P(5) = -3 + 4(5) <- Substitute X
P(5) = -3 + 20 <- Multiply
P(5) = 17 <- Combine Like Terms
Answer:
P(5)=-3+4(5)
P(5)=-3+20
P(5)=17
HELPPPPPPPPPP
A cafeteria sold 8 1/6 gallons of soda during lunchtime. 2 5/6 gallons were regular soda, and the rest was diet soda. How many gallons of diet soda were sold?
Write your answer as a fraction or as a whole or mixed number.
_________ gallons
Answer:
5 1/3 gallons
Step-by-step explanation:
Equation: 8 1/6 - 2 5/6
8-2=6
1/6-5/6= -4/6
6-4/6=5 2/6
Simplify:
5 1/3 gallons
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4.
Answer:
4(2x-3)
Step-by-step explanation:
Answer:
4 x (2x-3)
I hope it helps
Pls mark as Brainliest
find the value of x
Answer:
141°
Step-by-step explanation:
The angle given is 39°;
Since this problem deals with angles in a transversal, it is easy to solve.
Now;
Angle given is a corresponding angle to the angle a;
Corresponding angles are equal; so angle a = 39°
Also,
angle a is corresponding to angle b;
angle b = 39°
So, angle b and x are on a straight line;
b + x = 180
x = 180 - 39 = 141°
Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)
Answer:
The coordinates of the midpoint of LB are (1, 3.5)
Step-by-step explanation:
The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
Let us use this rule to solve the question
∵ M is the midpoint of segment LB
∵ The coordinates of point L are (8, 5)
∴ x1 = 8 and y1 = 5
∵ The coordinates of point B are (-6, 2)
∴ x2 = -6 and y2 = 2
→ Substitute these values in the rule of the mid point above
∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]
→ Remember (+)(-) = (-)
∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]
∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]
∴ M = (1, 3.5)
∴ The coordinates of the midpoint of LB are (1, 3.5)
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-4.9
Step-by-step explanation:
The answer is -4.9 because:
1) As the number line increases, the numbers are also increasing even though it seems like they are decreasing.
2) The number that comes right after -5 is -4.9
Hope this helps! :D
Kevin’s school is 5.2 miles away from his house. How far is this in yards? Do not round your answer. _________ yards
Answer:
9152 yd
Step-by-step explanation:
The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.
Which statement describes the limitation for the reasonable domain compared to the mathematical domain?
The reasonable domain contains only positive real numbers.
The reasonable domain contains only positive whole numbers.
The reasonable domain contains only real numbers greater than 3.
The reasonable domain contains only rational numbers greater than 3.
Answer:The reasonable domain contains only positive whole numbers.
Step-by-step explanation: Domain is x-values. X stands for the amount of people. The amount of people can't be negative. There also can't be half a person so it has to be whole numbers. There can be less than 3 people coming.
Answer:
B on edge 2021
Step-by-step explanation:
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!
Answer:
124.35 X 6.75
Step-by-step explanation:
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?
The percentage is the value per hundredth.
It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.
The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
learn more about percentage here :
brainly.com/question/24159063
#SPJ5
show that: (1-sin x)/(cos x)=(sec x - tan x)
This is the step-by-step explanation
Evaluate and reduce:
3
4
35 - -
F
Enter the number that belongs in the
green box.
Answer:
28
Step-by-step explanation:
35/5 ÷ -3/4
=7÷ (-3/4)
=7× (4/-3)
=(7×4)/-3
=- 28/3
the minus is already placed in the question, that makes the answer 28 without the minus
If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?
Answer:
[tex]\huge\boxed{120 \textdegree}[/tex]
Step-by-step explanation:
In order to solve for m∠TSP, we can use basic angle relationships and equations.
Let’s assume m∠PSW is [tex]x[/tex]°
We know that if two angles are supplementary, their angle lengths will add to 180°.
We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.
We can add these two angles together and get 180°. Then you can solve for x (PSW)
[tex]x+2x=180[/tex] [tex]3x=180[/tex] [tex]x=60[/tex]So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.
[tex]60 \cdot 2 = 120[/tex]
So m∠TSP is 120°.
Hope this helped!
Justin bought 12 souvenirs
during 6 days of vacation. How
many days will Justin have to
spend on vacation before he will
have bought a total of 20
souvenirs ?
Answer:
10
Step-by-step explanation:
1.3.3- You currently have $50. You plan on spending $2 each day on candy at the
comer store on your way home from school. How long will it take until you are
left with only $18?
Your answer
Answer:
It will take 16 days.
Step-by-step explanation:
50-18=32
32/2=16
32 represents the total amount of money spent before ending up with $18 left. If you spend $2 a day, just divide 32/2 (Total/Rate?). The final answer is 16 days.
To check, divide 50/2 to get 25 (days) and subtract the days we have (16).
25-16=9
9x2=18 or the $18 in the end of the problem.
If any of that was confusing, I'll be happy to answer any questions. It's just a pretty easy question so I am not sure if I did anything how you want or don't want it done.
Describe how to plot point A(-6, 2) on a coordinate plane.
Answer:
Read the explanation
Step-by-step explanation:
Go to desmos (website) and open the Graphic Calculator (or you can use any graphic calculator) . Then in one of the text boxes on the side write A(-6,2) and it'll plot it. Or make a paper graph (Make sure the lines are spaced out correctly) and go to -6 on the x axis and 2 on the y axis, the point in which those 2 intecept is the plotted dot. Or print a graph and plot it there, both work.
Find the length and width of a rectangle with maximum area that has a perimeter of 9P units.
Answer:
l = 9p/4 , l = 9p/4
Step-by-step explanation:
Given:
Perimeter = 9p
Find:
Length and width
Computation:
Assume;
Length = l
Perimeter = 2(l+b)
9p/2 = l+w
w = 9p/2 - l
Area = lb
Area = l(9p/2 - l)
Using differentiation
l = 9p/4
w = 9p/2 - l
w = 9p/2 - 9p/4
w = 9p/4
James wants to buy a phone card for international calls when he travels to Paris this summer. He can buy a 200-
minute card for $10.50 or a 300-minute card for $18.25. Which card is cheaper to buy per minute? (2pts) Write the
number of minutes card on the answer line.
Answer:eoeould say 18.25 because for 300 minutes only for 18.25 is cheap.And yes the other one is cheaper but for the money but its only 200.Tell me would YOU want only 200 instead of 300 because 300 costs a lot more than 18.25 so that person must be getting it on sale lol HOPE THIS HELPS AND IS RIGHT!!!!! ;)
Step-by-step explanation:
Leah’s family took a 3-hour trip in a car. They left at 10:30 am. What time did Leah’s family arrive?
Answer:
1:30 Pm
Step-by-step explanation:
If the car ride was exactly 3 hours and they left and exactly 10:30 am then its would be 1:30pm because it goes 10:30 11:30 12:30 then 1:30
Please help me if you know it thank you so much
Answer:
a) 9 beats
b) 9 beats per minute
c) y=9x
d) 180 times
if m<2 = 115 degrees what is m<1 ? (There you go)
Answer:
65
Step-by-step explanation:
180 - 115 = 65
This is the easiest way to think about and do it but your teacher might want you to do it a different way.
Answer:
65
Step-by-step explanation: