(WILL GIVE BRIANLIEST)
Please Help!
Question:
What is the solution set for the equation below?
(Look a the image, and the multiple choices are there)
Answers
Answer:
option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
Step-by-step explanation:
The given Quadratic equation is:
[tex]3x^{2} -x-4=0[/tex]
Let us try to make factors:
[tex]3x^{2} -x-4=0[/tex]
Here, [tex]-x[/tex] can be written as [tex]-4x + 3x[/tex] (Look at the coefficient of [tex]x^{2}[/tex] and constant part i.e. 3 and 4). So, the quadratic equation becomes:
[tex]\Rightarrow 3x^{2} -4x+3x-4=0\\\text{Taking x common from }3x^{2} -4x \text{ and 1 common from }3x+4:\\\Rightarrow x(3x-4)+1(3x-4)=0\\\Rightarrow (x+1)(3x-4)=0\\\Rightarrow (x+1) =0\ or\ (3x-4) = 0\\\Rightarrow x =-1\ or\ x = \dfrac{4}{3}[/tex]
So, solution set for the equation [tex]3x^{2} -x-4=0[/tex] is:
[tex]\{-1,\dfrac{4}{3}\}[/tex]
Hence, option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
Related Questions
I NEED HELP. THIS IS ABOUT SCATTER PLOTS PLEASE PROVIDE AN EXPLANATION!!
Answers
Answer:
A
Step-by-step explanation:
we know that the plot decreases from left to right so the slope is negative. that eliminates choices b and d. we also know that they y-intercept is between 5 and 8. that eliminates c.
hope this helps
what is the range of the exponential function f(x)=-3^x+7
Answers
The answer is letter D
One angle of a quadrilateral is 111° and the remaining three angles are equal. Find three
angles.
Answers
Answer:
All of the 3 angles equal to 83°
Step-by-step explanation:
3x + 111° = 360°
3x = 249°
x = 83°
The height of a square pyramid is one half the length of each side. The volume of the pyramid is 2,304 in.3. What is the height of the pyramid?
Answers
Answer:
Step-by-step explanation:
by making the length an inequality x height will be 1.5x
Volume=1/3BA xh
X×X×1.5X 1/3=2304
0.5x3=2304
X³=2304÷0.5
X³=4608
X=³√4608
X=16.64cm
H=16.64x1.5=24.96cm
The height of the square pyramid is equal to 24.96 cm.
What is a square pyramid?A square pyramid in geometry is a pyramid with a square base. A right square pyramid is one in which the peak is perpendicular to and above the square's centre.
Given that the height of a square pyramid is one-half the length of each side. The volume of the pyramid is 2,304 cubic inches.
The height of the square pyramid will be calculated as,
Volume=1/3BA xh
X×X×1.5X 1/3=2304
0.5x3=2304
X³=2304÷0.5
X³=4608
X=³√4608
X=16.64cm
H=16.64x1.5=24.96 cm
Therefore, the height of the square pyramid is equal to 24.96 cm.
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A rectangle has a width of 54 cm and a perimeter of 222 cm. What is the rectangles length?
Answers
Answer:
57cm
Step-by-step explanation:
Width of the rectangle = 54cm
Perimeter = 222cm
Length = (222 - (54x2))/2 = (222-108)/2 = 57cm
What is the difference of (-3.4x+4.7)-(3+2.9x)?
-0.5x+1.7
O -6.3x-1.7
0 -0.5x-1.7
O -6.3x+1.7
please help
Answers
Answer:
option 4
Step-by-step explanation:
-3.4x + 4.7 - (3 + 2.9x) = -3.4x + 4.7 - 3 - 2.9x (combine like terms)
= -3.4x - 2.9x + 4.7 - 3
= - 6.3x + 1.7
If two number have same sign, add and put the common sign for the answer.
If two numbers have different sign, subtract and the answer will have the sign of the bigger number
[tex] \frac{1}{( \sqrt[4]{256})^{-2} } [/tex]
1/ (^4√256)^-2
please simplify using exponent laws and then evaluate expression
Answers
Answer:
16.
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
4y+2x=-7, solve for y, with proper steps. I WILL GIVE BRAINLIEST.
Answers
Answer:
4y = -7-2x
y = -7-2x/4
now give suitable value for x (Example 3)
Answer:
[tex]y=-\frac{1}{2} x-\frac{7}{4}[/tex]
Step-by-step explanation:
[tex]4y+2x=-7[/tex]
Subtract [tex]2x[/tex] from both sides of the equation.
[tex]4y+2x-2x=-7-2x[/tex]
[tex]4y=-7-2x[/tex]
Divide by 4 on both sides of the equation.
[tex]\frac{4y}{4} =\frac{-7-2x}{4}[/tex]
[tex]y=\frac{-2x-7}{4}[/tex]
Simplify the equation.
[tex]y=-\frac{1}{2} x-\frac{7}{4}[/tex]
What is the inverse of the function f(x) = 2x – 10?
O h(x) = 2x - 5
O h(x) = 2x + 5
O h(x) = 1/2x -5
O h(x) = 1/2x + 5
Answers
Answer:
The answer would be D.
Step-by-step explanation:
Use the fraction bar interactive tool to find the lowest common denominator before subtracting 2 3 from 5 6 . What is the lowest common denominator? Rewrite the difference as a sum of the fractions using the lowest common denominator. What is the answer?
Answers
Answer:
What is the lowest common denominator?
✔ 6
Rewrite the difference as a sum of the fractions using the lowest common denominator.
✔ 5/6 + (–4/6)
What is the answer?
✔ 1/6
Step-by-step explanation:
Fractions can be combined by taking their LCMs
The lowest common denominator is 6The new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]The numbers are given as:
[tex]\mathbf{\frac{2}{3}\ and\ \frac{5}{6}}[/tex]
The denominators are 3 and 6.
Factor both numbers;
[tex]\mathbf{3 = 1\times 3}[/tex]
[tex]\mathbf{6 = 1 \times 2 \times 3}[/tex]
So, the LCM is:
[tex]\mathbf{LCM = 1 \times 2 \times 3}[/tex]
[tex]\mathbf{LCM = 6}[/tex]
The lowest common denominator is 6
The expression is represented as:
[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6}}[/tex]
Rewrite as:
[tex]\mathbf{ - \frac{2}{3}\ + \ \frac{5}{6} = -\frac{4}{6} + \frac{5}{6}}[/tex]
Hence, the new expression is [tex]\mathbf{-\frac{4}{6} + \frac{5}{6}}[/tex]
Read more about fractions at:
https://brainly.com/question/6201432
You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of and sodas sold at the swim meet.
-Using the Standard Form, identify the y-intercept of the graph and explain how the y-intercept relates to the number of hot dogs and sodas sold.
Answers
Answer:
Step-by-step explanation:
Let's set up an equation in standard form.
x + 0.5y = 150
0.5y = -x + 150
y = -2x + 300
The y-intercept is 300. This means that when 0 hot dogs were sold, 300 sodas were sold.
Find the inverse function of h(x)=-2/3x+6
Answers
Answer:
-3/2 (x - 6)
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of
this triangle?
O 5 cm and 8 cm
O 6 cm and 7 cm
VX
O 7 cm and 2 cm
O 8 cm and 9 cm
Answers
Answer: D also, can i have brainliest?
solution:
The other 2 sides added have to be greater than 13
Option A: 5 + 8 = 13. 13 is not greater than 13 so it's not the answer.
B: 6 + 7 = 13. Same thing as option A
C: 7 + 2 = 9. 9 is less than 13 so not the answer.
D: 8 + 8 = 16. 16 is greater than 13 so D is the correct answer.
i did this question for my homework once
hope this helps!
Answer:
8 cm and 9 cm
Step-by-step explanation:
D
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answers
Answer:
Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points.
Step-by-step explanation:
The answer is the first one because the slope is technically [tex]\frac{2}{1}[/tex]
Up 2 over 1
Since the slope is positive, the graph goes to the right.
(0, -6) is the y intercept because it intersects the y - axis.
Then you draw those two points and connect them.
Answer:
its A OwO
Step-by-step explanation:
A car travelled a distance of 50km in an hour. What distance did it travel in 30minutes?
Answers
3
[tex]3 \sqrt{54a {8y {5 \div 3 \sqrt{2a { - 1y {2}^{?} }^{?} } }^{2} }^{2} } [/tex]
Answers
Answer :
(a³y 3√20u)/2
Explanation :
I used these steps in solving the question
I hope it helps :)
Note : The quotient of roots with the same indexis equal to the root of the quotientWrite the division as a fractionSimply the expression [tex] \frac{ {a}^{8} }{ {a}^{ - 1} } = {a}^{9} \\ \frac{ {y}^{5} }{ {y}^{2} } = {y}^{3} [/tex]Use the communative property to reorder the termsTake the root of the numerator and denominator separately.Simplify the radical expressionMultiply the fraction by [tex] \frac{ \sqrt[3]{ {2}^{2} } }{ \sqrt[3]{ {2}^{2} } } [/tex]Calculate the productEvaluate the power ( in numerator)Calculate the product ( in denominator)Calculate the product of 5×4uReduce the index of the radical and exponents with 3
Sofi is competing in a long jump competition. His first jump is 5.25 m. Your best jump is 8% more than this. However, his best jump is 10% lower than the winning jump. Calculate the length of the winning jump.
Answers
Answer: 6.3 m
Step-by-step explanation:
"8% more" = 1.08 (which is 1+0.08). "10% less" = 0.90 (which is 1-0.10).
first = 5.25
her_best = 1.08*first
her_best = 0.90*winning
Substitute to determine the winning jump's length.
winning = 1.08*5.25/0.90 = 6.3
So, the winning jump was 6.3 meters.
what is the value of A when r=9 in inverse proportions
Answers
Answer:
3.6 and 2
Step-by-step explanation:
Given R is inversely proportional to A then the equation relating them is
R = [tex]\frac{k}{A}[/tex] ← k is the constant of proportion
To find k use the condition R = 12 when A = 1.5, that is
12 = [tex]\frac{k}{1.5}[/tex] ( multiply both sides by 1.5 )
18 = k
R = [tex]\frac{18}{A}[/tex] ← equation of proportion
(a)
when A = 5, then
R = [tex]\frac{18}{5}[/tex] = 3.6
(b)
when R = 9, then
9 = [tex]\frac{18}{A}[/tex] ( multiply both sides by A )
9A = 18 ( divide both sides by 9 )
A = 2
EASY multiple choice question for y’all mathy people! Easy points. Question in photo.
Answers
Answer:
B
Step-by-step explanation:
what is the range of h?
Answers
Answer:
C -3, -2 ,2, 4
Step-by-step explanation:
The range is the output values, or the y values
-3, -2 ,2, 4 are the output values
Find the median for the data set. 9, 14, 11, 8, 3, 15*
Your answer
Answers
Answer:
10
Step-by-step explanation:
Align the data from smallest to largest
3,8,9, 11, 14, 15*
The median is the middle number
3,8,9, 11, 14, 15*
It would be between the 9 and 11 since there is an even number of numbers
(9+11)/2 = 20/2 = 10
The median is 10
Solution:
Arranging the data in ascending order:
3,8,9,11,14,15
N(total number of items)=6
Median=(N+1/2) th item
=(6+1/2)th item
=(7/2)th item
=3.5th item.
Again,Median=3rd item+4th item/2
=9+11/2
= 20/2
=10
Median =10
Hope it helps...
Express 192 as the product of its prime factors write the prime factors in ascending order.
Answers
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
The Taylor family's pancake recipe uses 2 teaspoons of baking powder for every 1/3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Answers
Answer:
6 teaspoons
Step-by-step explanation:
2 teaspoons = 1/3 tsp of salt
6 teaspoons = 1 tsp of salt
This was done by multiplying 2 by 3 since 3 thirds (3/3) make one whole.
So if 2 teaspoons are used for 1/3 teaspoon of salt, 4 teaspoons would be used for 2/3 teaspoon of salt and 6 teaspoons would be used for 1 teaspoon of salt.
The function fox) = x + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new
function?
x (x - 11)2 + 58
(r+ 22)2 – 121
(x + 7)2 - 47
(x-15)2 + 94
Intro
7
Done
Answers
Answer:
Step-by-stfffffffffffffffffffffffffffffffffffffffffffffffffffffep explanation:
POSSIBLE POINTS 100
A bank pays 3% annual simple interest on CDs (certificates of deposit) of $25,000. The Branson family
invests in 3 of the $25,000 CDs. How much interest does the family make in one year?
O A $22.50
OB $22,500.00
OC $2,250.00
OD $225.00
Answers
Answer:
Total interest in 1 year = $2,250
Step-by-step explanation:
Given:
Rate of simple interest = 3% = 0.03
Amount of investment = $25,000
Number of investment = 3
Find:
Total interest in 1 year .
Computation:
Simple interest = Amount of investment × Rate of simple interest
Simple interest = $25,000 × 0.03
Simple interest = $750
Total interest in 1 year = Simple interest × Number of investment
Total interest in 1 year = $750 × 3
Total interest in 1 year = $2,250
I need answer please help
Answers
Answer:
Correct option is the third option:
6*3 - 4+3^2
Third option
[tex] 6(3)-4+3^2 [/tex]
Step-by-step explanation:
[tex]f(x) = 4 - {x}^{2} \\ \red{ \bold{ f(3) = 4 - {3}^{2} }} \\ \\
g(x) = 6x \\ \purple{ \bold{ g(3) = 6( 3)}} \\ \\
(g - f)(3) = g(3) - f(3) \\ (g - f)(3) = 6( 3) - ( 4 - {3}^{2}) \\ \orange {\boxed {\bold {(g - f)(3) = 6( 3) - 4 + {3}^{2}}}} \\ [/tex]
Please do 69 and 70 quick please
Answers
I just have the answer of the 70.
it is 10560
Answer:
69 is 1/3 and 70 is 10560
Step-by-step explanation:
What is the solution to the inequality +4 50?
Answers
Answer:
d<-1.75
Step-by-step explanation:
Which expression is equivalent to 4(2n – 3)?
2n - 3. ___
2n – 11. 9
n-3
Answers
Solution,
4(2n-3)
=4*2n-4*3
=8n-12
hope it helps
Good luck on your assignment
Answer:
[tex]= 8n - 12 \\ [/tex]
Step-by-step explanation:
[tex]4(2n - 3) \\ 4 \times 2n - 4 \times 3 \\ = 8n - 12[/tex]
hope this helps
brainliest appreciate
good luck! have a nice day!
find two numbers such that the sum of twice the first and thrice the second is 92 ,and four times the first exceeds seven times the second by 2
Answers
Answer:
First number = 25
Second number = 14
Step-by-step explanation:
Let the numbers be x & y
The sum of twice the first and thrice the second is 92
2x + 3y = 92 -------------------(I)
Four times the first exceeds seven times the second by 2
4x - 7y = 2 --------------------(II)
Multiply equation (I) by -2 and then add the equations
(I)*-2 -4x - 6y = -184
(II) 4x - 7y = 2 { Now add, thus x will be eliminated}
- 13y = -182 {Divide both sides by -13}
y = -182/-13
y = 14
Plugin the value of y in equation (I)
2x + 3*14 = 92
2x + 42 = 92
2x = 92 - 42
2x = 50
x = 50/2
x = 25
First number = 25
Second number = 14
