Answer:
[tex]\boxed{\textsf{ The roots of the quadratic equation is \textbf{ (-4) and 3 }.}}[/tex]
Step-by-step explanation:
A quadratic equation is given to us . Here we aren't given what to do with it. So , lets find out the roots of the equation . The given quadratic equation is :-
[tex]\sf\implies 4x^2+x-3 =0[/tex]
Now with respect to Standard form ax²+bx + c . The roots of the equation can be find out by the quadratic formula also known as " Shreedharyacharya's Formula " .
Quadratic Formula :-
[tex]\boxed{\boxed{\sf x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}}[/tex]
Now with respect to Standard Form we have ,
• a = 4 •b = 1 •c = (-3)
Put on the respective values :-
[tex]\sf\implies x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a} \\\\\sf\implies x =\dfrac{-1\pm\sqrt{1^2-4(1)(-3)}}{2(1)}\\\\\sf\implies x =\dfrac{-1\pm \sqrt{1+48}}{2}\\\\\sf\implies x =\dfrac{-1\pm \sqrt{49}}{2}\\\\\sf\implies x = \dfrac{-1\pm 7 }{2}\\\\\sf\implies x =\dfrac{-1-7}{2},\dfrac{-1+7}{2}\\\\\sf\implies x =\dfrac{-8}{2},\dfrac{6}{2}\\\\\sf\implies \boxed{\pink{\sf x = (-4) , 3 }}[/tex]
What is the area of the rectangle?
Answer:
Area = 396 units²
Step-by-step explanation:
Let's assume:
Length = 2c - 5
Width = 5c + 9
Perimeter = 2(L + W) = 106 units
Thus:
2[(2c - 5) + (5c + 9)] = 106
Find the value of c
2[2c - 5 + 5c + 9] = 106
2[7c + 4] = 106
14c + 8 = 106
14c = 106 - 8
14c = 98
Divide both sides by 14
c = 98/14
c = 7
✔️Area of the rectangle = Length × Width
Area = (2c - 5)(5c + 9)
Plug in the value of c
Area = (2×7 - 5)(5×7 + 9)
Area = (14 - 5)(35 + 9)
Area = (9)(44)
Area = 396 units²
Wday is the area in square inches of the floor in the scale drawing
Answer:
8
Step-by-step explanation:
Since 24 is the original length, you would have to see what number to divide by to get 6.
24 divided by 4 is 6.
Now we know that 1/4 is the scale factor, so apply that to 32.
32 divided by 4 is 6
That's your answer!
Brainliest would v much be appreciated
at what value of x does the graph of the following function f(x) have a vertical asymptote? f(x)=1/x-6
Answer:
x = 6
Step-by-step explanation:
A vertical asymptote is a vertical line going through the x-axis at an x-value that x is not actually allowed to have.
In this case, we have a 'rational' function, meaning there is a 'ratio' or fraction involving the variable x.
With these 'rational' or fractional expressions, we always have to watch out to make sure we never have a denominator equal to zero, because division by zero is not defined. It is meaningless.
The denominator x-6 will equal zero if x is 6, so x cannot actually ever be 6.
That is where the vertical asymptoe goes: a vertical line with the equation x = 6.
The value of x is 6.
The following information should be considered:
A vertical asymptote is a vertical line that gone via the x-axis at an x-value where x is not actually allowed to have. In the given case, it have a rational function, that means there is a ratio or fraction involving the variable x. The denominator x-6 will equal zero in the case when x is 6, so x cannot actually ever be 6. So, where the vertical asymptoe goes: a vertical line with the equation x = 6.Learn more: brainly.com/question/17429689
Which number(s) from the set (0 to 10) if any, will solve this equation.
2x + 3 = 3 (x + 1) - x
Help me!
Question from USAtestprep
You solve this through error and trial.
The is to get two matching numbers at both sides.
X 2x + 3 = 3 (x + 1) - x Answer
0 2(0) + 3 = 3 (0 + 1) - 0 3 = 3
1 2(1) + 3 = 3 (1 + 1) - 1 5 = 5
You do this all the way to ten. So far, we know x = 0 and x = 1 is correct
solve 4(x+7)-5x+2=10
Answer:
x = 20
Step-by-step explanation:
4(x + 7) - 5x + 2 = 10
open the parenthesis
4 * x + 4 * 7 - 5x + 2 = 10
4x + 28 - 5x + 2 = 10
combine like terms
-x + 30 = 10
subtract 30 from both sides of the equation
-x + 30 - 30 = 10 - 30
-x = 10 - 30
-x = -20
mutiply the equation by -1
-1 * -x = -20 * -1
x = 20
Plzzz help me I am bad at math
Answer:
C
Step-by-step explanation:
A: As the years go by the tree grows and deflat (false)
B: A number of the year can’t decrease (false)
C: As I said, as the years go by the tree grows (true)
D: Same reason as B (false)
Mrs. Crandall spent $42 on window shades that were on sale for a certain percent
discount. The original price of the shades was $70. What percent was the discount?
Answer:
The percentage of the discount is 40%.
Answer:
60 percent
Step-by-step explanation:
70*60/100=42
70*0.6=42
60 percent is the answer
hope this helps!
please mark my answer as brainliest. Thanks!
Given that 9x – 8y = 16
Find x when y = -8
Give your answer as an improper fraction in its simplest form.
Answer:
x=-16/3
Step-by-step explanation:
9x-8(-8)=16
9x+64=16
9x=-48
x=-48/9
x=-16/3
Solve for
s 10 = 3(s + 1) + 1
S =
One month Lucy rented 2 movies and video games for a total of $40. The next month she rented 5 movies and 3 video games for a total of $25. Find the
rental cost for each movie and each video game.
Answer:
the first month it was 10 each for a video game and the 2nd month it was
Is 23, 11, 25, 19 a composite number?
Answer:
23 is a prime number. 11 is a prime number. 25 is a composite number. and 19 is a prime number.
Step-by-step explanation:
Hi there!
23 is a prime number because it has only two factors - 1 and itself.
Remember, a factor is a number that a number can be evenly divided by. So 3 is not a factor of 23.
11 is prime as well.
25 is a composite number because it's last digit is 5. If a number's last digit is 5, then it's divisible by 5. Therefore, it's composite.
19 is a prime number.
Hope you find this helpful!
#CarryOnLearning
[tex]JoyfulTeen\\HappyGal\\SomeoneWhoWillHelpYou\\FelicitousLass\\\\-SilentNature[/tex]
Sally used her calculator to work out the value of a number y. The answer on her calculator display began 8.3 Complete the error interval for y.
............................................................ ≤ y < ............................................................
Answer:
8.3 is to 1d.p so to find the error interval, you divide 0.1 by 2 = 0.05
8.3 + 0.05 = 8.35
8.3 - 0.05 = 8.25
8.25<y<8.35
46)
The lengths of two sides of a triangle are 14 cm and 11 cm. Which is a possible value for the third side of the triangle?
A)
1 cm
B)
3 cm
16 cm
D)
25 cm
Answer:
i depends of degre of triangle it can be three 14-11
it can also be 16
factorise fully 18e^2f^3-12e^2f
Answer:
[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]
Step-by-step explanation:
Given
[tex]18e^2f^3-12e^2f[/tex]
Required
Factorize:
[tex]18e^2f^3-12e^2f[/tex]
Express 18 as 6 * 3 and 12 as 6 * 2
[tex]18e^2f^3-12e^2f = 6*3e^2f^3-6*2e^2f[/tex]
Factor out 6
[tex]18e^2f^3-12e^2f = 6(3e^2f^3-2e^2f)[/tex]
Factor out [tex]e^2[/tex]
[tex]18e^2f^3-12e^2f = 6e^2(3f^3-2f)[/tex]
Factor out f
[tex]18e^2f^3-12e^2f = 6e^2f(3f^2-2)[/tex]
please be quick i need this done
Answer:
8.8
Step-by-step explanation:
kids cheating in tests.....
8.7749643787
8.8(1dp)
Please help im confused explain if you can
Answer:
184 cm²
Step-by-step explanation:
If m <CGB = 79°, then what is m <DGB?
Answer:
∠DGB = 101°
Step-by-step explanation:
Given:
∠CGB = 79°
Find:
∠DGB
Computation:
We know that CD is a straight line
So,
∠CGB + ∠DGB = 180
79 + ∠DGB = 180
∠DGB = 101°
Loyalty requires you to dismiss all of your personal goals permanently.
Answer:
Step-by-step explanation:
show the rest
Answer:
False
Step-by-step explanation:just took the test
I need help with this one
Answer:
(2/3)^3
8/27 in^3
Step-by-step explanation:
Answer:
3
0.29629629629in³
Step-by-step explanation:
To find the volume of a cube you multiply the length by the width by the height. Since all the sides of the cube are the same, its the same measure multiplied three times, ie. to the power of three.
(2/3)³=0.29629629629in³
It takes Sara 5 1/2hours to drive to her aunt's
house. She has already driven 3 1/2 hours.
How much longer does Sara have left to
drive?
Answer:
2 hours
Step-by-step explanation:
To solve this question, we can convert the fraction into decimal form momentarily, so that 5 1/2 is now 5.5, and 3 1/2 is now 3.5. We know that Sara has already driven 3.5 hours, and it takes 5.5 to get to her aunts house. To dins how much longer Sara has left to drive, simply subtract the total amount of hours by the hours already completed:
5.5 - 3.5 = 2.0
Meaning, Sara has 2 hours left to drive
Hope this helps :)
What is the solution to x + 9 = 21?
O A. x = 30
B. x = 18
O c. x = 12
O D. x= 9
Answer:
First we need to isolate x. To do this, we have to subtract 9
x = 12!
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
x+9-9=21-9
x=12
hope this helps !!
HELP FAST PLEASE!!!!
Deshawn surveyed two boys from each kickball team in his coed (boys and girls) kickball league to find out how many games the attended during the 10-game season. Which of the following generalizations could be valid based on the sample?
Answer:
75% of the guys is valid and half the boys in the league attended all the games is also valid. 80% of the games is not valid and so is 70% of the games.
Step-by-step explanation:
I took the test :)
Answer:
The Screenshot has the answer to the problem.
Step-by-step explanation:
Which estimate is closest to the actual value?
3.749237 x 1.84623
-8.2
-6.9
-3.6
-5.5
Answer:
Answer is -6.9
Step-by-step explanation:
I hope it's helpful!
sam wants to put a fence around his garden. the garden is 6 yards long and 4 yards wide. how many yards of fencing should he order?
Does a triangle with these side lengths exist 3, 8, 9
Answer:
No
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
five hundred and fifty four thousandths in number form
i need for homework
Answer:
54.0054
Step-by-step explanation:
hope it helps you
please mark me as brainlist
A fruiterer had 350 more pears than mangos at first. After he sold half of his pears, he has 120 more mangoes than pears. How many pears he had at first?
(heuristics question)
pls help ASAP
my ans is 940. is it correct?
sorry I do not know.
Step-by-step explanation:
anymore question?
Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the cab ride, how many miles did he travel? (HOW DID YOU GET YOUR ANSWER SHOW YOUR WORK!!)
A. 11 3/8
B. False
C. 1/5
D. 61.5
E. True
F. 3/25
G. 62.4
Answer:
11 [tex]\frac{3}{8}[/tex] miles.
Step-by-step explanation:
To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b
$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.
$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.
We know Brandon spent $6.80 on the cab ride. So, this is our y.
We get the equation: 6.80 = 0.40x + 2.25.
To solve, first subtract 2.25 from both sides of the equation:
6.80 - 2.25 = 0.40x + 2.25 - 2.25
We get: 4.55 = 0.40x
Now, just divide by 0.40 on both sides:
4.55 ÷ 0.40 = 0.40x ÷ 0.40
We get: 11.375 = x
So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 [tex]\frac{3}{8}[/tex] .
I would appreciate brainliest, if not that's ok!
Which graph shows a negative correlation?
10
9
8
7
6
O
5
4
3
2
1
1 2 3 4 5 6 7 8 9
9
8
7
6
Mark this and return
Save and Exit
Next
Submit
Answer: 6
Step-by-step explanation:
-10201902090944
In table 4, for increasing x value, the y values are decreasing. Therefore, option 4 is the correct answer.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.
In the given table 4, we can see for increasing x value, the y values are decreasing.
Therefore, option 4 is the correct answer.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
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Carson draws a scale drawing of a city park and a parking lot. The city park is in the shape of a right triangle with logs that are 3 inches and 4 inches. The parking lot is in a shape of a rectangle with
dimensions of 15 inches and 25 inches. The scale for the drawing is 1 inch 40 feet.
Answer:
6,000 & 19,200