Answers
Answer:
x = - 1, x = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
3x² + 2x - 1 ( to find the zeros, equate to zero )
3x² + 2x - 1 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 1 = - 3 and sum = + 2
The factors are + 3 and - 1
Use these factors to split the x- term
3x² + 3x - x - 1 = 0 ( factor first/second and third/fourth terms )
3x(x + 1) - 1 (x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x - 1) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]
Answer:
x= 1/3, -1
Step-by-step explanation:
So you can solve this via graphing or solving, I will show both. By solving first you factor the equation and set it equal to 0 (this is because for x intercept y=0)
0 = (3x-1) (x+1)
Use math to solve for x,
3x-1=0
3x=1
x=1/3
(not sure if your teacher wants 1/3 as decimal or fraction, if decimal then use 0.333 in place of 1/3)
x+1=0
x= -1
As far as graphing, just plug the equation in Desmos and wherever the graph cross the x axis is where y values are 0 (which are the x intercepts) and you get the same value.
Related Questions
Solve
x + y = 100 x -y = 10
Pair of Equation
Answers
x + y = 100
x - y = 10
_____________ +
( x + y ) + ( x - y ) = 100 + 10
2x + y - y = 110
2x = 110
x = 110/2
x = 55
_________________________________
x - y = 10
55 - y = 10
- y = 10 - 55
- y = - 45
y = 45
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
x = 55 ..**&**.. y = 45
Which unit rate is equivalent to the ratio 12 to 3?
Answers
Answer:
[tex]\frac{4}{1}[/tex]
Step-by-step explanation:
You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].
If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.
Your new fraction would be [tex]\frac{4}{1}[/tex].
Please help you guys I really need it!
Answers
Answer:
Undefined
Step-by-step explanation:
A vertical line doesn't have a slope since it doesn't run horizontally.
Answer:
0
Step-by-step explanation:
a straight line doesn't have a slope
Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost
Answers
Answer:
C/4
Step-by-step explanation:
The amount divided by the amount of people will show how much each person owes
Which statement is always true about a regular polygon?
Answers
Answer:
All polygons have straight lines
Step-by-step explanation:
A set of 3 erasers costs $1.68. At this price rate, how much would 10 erasers cost?
Answers
Answer:
$5.60
Step-by-step explanation:
1.68/3 = .56
10 x .56 = 5.6
Answer:
$5.60
Step-by-step explanation:
1.68 / 3 = 0.56
This is the cost of one eraser.
Now, to find the cost of ten, all we have to do is:
0.56 x 10 = $5.60
Hope i could help :)
Mondo correctly finds the closest benchmarks for three numbers.
Three and StartFraction 6 over 25 EndFraction is closest to the benchmark 3
3.8 is closest to the benchmark 4
Three and four-ninths is closest to the benchmark Three and one-half
Which shows the numbers Three and StartFraction 6 over 25 EndFraction, 3.8, and Three and four-ninths in order from greatest to least?
Three and StartFraction 6 over 25 EndFraction, Three and four-ninths, 3.8
Three and StartFraction 6 over 25 EndFraction, 3.8, Three and four-ninths
3.8, , Three and StartFraction 6 over 25 EndFraction
3.8, Three and StartFraction 6 over 25 EndFraction,
Answers
Answer:
From greatest to least, the order is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]
Step-by-step explanation:
Given
[tex]Closest\ Benchmark \to Number[/tex]
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
Required
Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least
From the given parameters, we have:
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
This implies that:
[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark
Convert [tex]3\frac{4}{9}[/tex] to decimal
[tex]3\frac{4}{9} = 3.44[/tex]
By comparison;
[tex]3.8 >\ 3\frac{4}{9}[/tex]
Hence, the list is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]
Please help!!!! There are 324 students coming.
Answers
===============================================================
Explanation:
Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.
Let x be the cost of equipment, lighting, and costumes combined.
The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.
The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.
Let's solve for x
1814.40 - x = 500
-x = 500-1814.40
-x = -1314.40
x = 1314.40
So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.
Which relation is a function?
{(5, 0), (0, 1), (5, 2), (4,4)}
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
{(3, 2), (2,1), (−1, 2), (3,3)}
{(1, 2), (2,4), (−1, 2), (0,3)}
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) {(1, 2), (2,4), (−1, 2), (0,3)}
»»————- ★ ————-««
Here’s why:
A function is a relation in which one element of the domain is assigned to exactly one element of the range. This means that the domain (x) values must not repeat.⸻⸻⸻⸻
Option A's answer is incorrect, as the domain value of '5' repeats.
{(5, 0), (0, 1), (5, 2), (4,4)}
⸻⸻⸻⸻
Option B is not a function due to the repeating '-4' value.
{(0, 1), (−4, 1), (4, 2), (−4,−1)}
⸻⸻⸻⸻
The '3' in option C's given relation repeats.
{(3, 2), (2,1), (−1, 2), (3,3)}
⸻⸻⸻⸻
Option D is the correct answer, as there are no domain values that repeat.
{(1, 2), (2,4), (−1, 2), (0,3)}
Therefore, option D is a function.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
the price of a photography machine in RS60000.find the price after inculding13%tax
Answers
Answer:
Rs. 67800
Step-by-step explanation:
Price of photograph = 60000 = 100%
Tax = x dollars = 13% of 60000
100% + 13% = 113% = 1.13
Multiply
1.13(60000) = 67800
To check, lets find 13% of 60000 and add to 60000
13% = 0.13
0.13(60000) = 7800
60000 + 7800 = 67800
Units = Rs
Rs. 67800
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the value of the expression below?
Answers
Answer:
D. 2
Step-by-step explanation:
Multiply the exponents to simply equation
5/3 * 1/5 = 5/15 = 1/3
8^1/3 = 2
Cube root of 8 is 2
Find the volume of the given prism. Round to the nearest tenth if necessary.
Answers
Volume = Length x Height x Depth
Since it’s a essentially half a rectangle you divide the answer by 2.
V = 2 x 17 x 1 -> 34
34/2 = 17m^3
X^2 +14x+13=0 solve for X
Answers
X=13,1
I hope this helped :)
Thank you for anyone who knows this
Answers
Answer:
Part (a) Vertex = (-3, -1)Part (b) Vertex = (4, 5)Part (c) function 2; max value = 5=====================================================
Explanations:
Part (a)
In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)
If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.
----------------------------
Part (b)
We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.
The given equation is in the form y = ax^2 + bx + c where in this case
a = -2b = 16c = -27The a and b values are plugged into the formula below to get
h = -b/(2a)
h = -16/(2*(-2))
h = -16/(-4)
h = 4
This is the x coordinate the vertex since the vertex is (h,k)
To find k, we plug that value of h into the original function to find its corresponding y value.
y = -2x^2 + 16x - 27
y = -2(4)^2 + 16(4) - 27
y = -2(16) + 16(4) - 27
y = -32 + 64 - 27
y = 5
We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)
----------------------------
Part (c)
We'll compare the y values of each vertex
Function 1 has a vertex of (-3, 1)Function 2 has a vertex of (4, 5)The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.
The max value here is y = 5. In other words, it's the maximum output the function can produce.
If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.
Someone please help
Answers
Answer:
15 cm
Step-by-step explanation:
.....................
Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need? A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.
Answers
Answer:
156 ft²
Step-by-step explanation:
Given :
The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.
The 2 triangular sides have a base of 3 feet and height of 4 feet
We sum the area of each side:
Area of triangular side = 1/2 * base * height
Since there are 2 triangular sides :
Total area of triangular side = 2(1/2 * base * height)
Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²
Area of rectangle sides = lengtb * width
Area 1 = 12 * 3 = 36 ft²
Area 2 = 12 * 5 = 60 ft²
Area 3 = 12 * 4 = 48 ft²
Total = 12 + 36 + 60 + 48 = 156 ft²
Pythagorean theorem please show work thank you
Answers
Answer:
Step-by-step explanation:
I'm not too sure about this question but I think the whole width part is just bait/irrelevant
A committee consisting of 5-studnts is to be formed out of 10, of which 4-are females and 6-are males. How many committees can be formed if 3 males are to be included
Answers
Answer:
120 committees can be formed if 3 males are to be included
Step-by-step explanation:
Total members in the committee = 5
Out of 10 people, 6 are males and 4 are females
In committee of 5 people, 3 males are to be chosen out of 6 and 2 females are to be choses out of 4
Total number of outcomes = 4C2 * 6C3
Total number of outcomes = 6 * 20 = 120
please help me with the step by step
Answers
Answer:
stay safe healthy and happy....Step-by-step explanation:
This is the correct answer
I need answer Immediately!!!!!!
Answers
Answer:
Step-by-step explanation:
https://www.numerade.com/questions/write-the-equation-for-the-graph-that-is-shown-check-your-book-to-see-graph-3/
Hope it helps you
Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise she sells that exceeds a total of $400. Joan wrote the expression 400 + 0.04(t − 80), where t represents her sales total in dollars, to compute the total amount of money that she will make. For sales of $500 Joan calculated that she will make $416.80. Explain Joan's error by completing the correct expression and how much she will make.
Answers
Answer:
Total amount earned = $84
Step-by-step explanation:
The correct expression is
Total amount earned = 80 + 4% of (t - 400)
= 80 + 0.04(t - 400)
where,
t = her sales total in dollars
Total amount of money that she will make for sales of $500
Total amount earned = 80 + 0.04(t - 400)
= 80 + 0.04(500 - 400)
= 80 + 0.04(100)
= 80 + 4
= 84
Total amount earned = $84
I need answer immediately
Answers
Answer:
Answer is 1 minute
Step-by-step explanation:
The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute
ASAP
-WILL MARK BRIANIST
Answers
Answer:
C and D
Step-by-step explanation:
If you find the percentage of 95% of 6 it will give you an answer of 5.7
.95 x.006 equals 0.0057
95x6 equals 570
0.95 x 6 equals 5.7
95/100 x 6 equals 5.7
Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.
If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks
Answers
Answer:
Cases will increase to 850 in half day
Step-by-step explanation:
Given
The number of reported cases increase from 60 to 75 in seven days (week)
rate of increase of cases = 75-60/7 = 15/7
Now, as per the exponential growth equation
[tex]P = P_0 * e^{r*t}[/tex]
Substituting the given values we get
[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]
Taking log on both sides we get
15/7 * t = 1.15
t = 1.15 *7/15
t = 0.537 days = half day
What is 63,998 in expanded form?
Answers
Answer:
60,000 3,000 900 90 8
Step-by-step explanation:
Answer:
60,000+3,000+900+90+8
Step-by-step explanation:
I used go ogle
Find the coordinates of the center and the measure of the diameter for a circle whose equation is (x + 8)2 + (y - 4)2 = 81
Answers
Reminder :
( x + a )^2 + ( y + b )^2 = ( R )^2
Center : O = ( - a , - b )
R = radius
_____________________________
( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2
Center : O = ( - 8 , 4 )
radius = 9
Diameter = 2 × radius = 18
please help i keep getting the wrong answer and it’s due soon
Answers
Answer:
I think its 967.22 (2dp) I'm sorry if it's wrong
Step-by-step explanation:
use formula 2*pi *r
What value of x would prove a || b (a parallel to b)? (Hint: Add consecutive interior angles to solve for x).
Answers
Answer:
x=8
Step-by-step explanation:
19x-13+6x-7=180
x=8
We have a || b (a parallel to b), the interior angle property. Therefore, the value of x would be 8.
What is the sum of interior angles of parallel lines?The sum of all the interior angles of parallel lines is equal to 180 degrees.
We have a || b (a parallel to b), the interior angle property
19x - 13 + 6x - 7 = 180
25x - 20 = 180
25x= 200
x = 8
Therefore, the value of x would be 8.
Learn more about the interior and exterior angles here:
https://brainly.com/question/14173422
#SPJ2
Which statement best describe the sides of a rhombus? *
A) Is a parallelogram with four congruent sides
B) Is a parallelogram with only the two opposite sides congruent
C) Is a parallelogram with the opposite sides congruent but not parallel
D) Is a quadrilateral that does not have the properties of a parallelogram
Answers
Answer:
the option A is a correct ans .
An inground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represents the area of the brick walkway?
Answers
Answer:
[tex]A_w=238x-2176[/tex]
Step-by-step explanation:
From the question we are told that:
Length of pool [tex]L=34ft[/tex]
Width of Pool [tex]W=x[/tex].
Brick walkway Width [tex]W_b=4[/tex]
Generally the expression for a Area of pool is mathematically given by
[tex]A=L*W[/tex]
[tex]A=34*x[/tex]
[tex]A=34x[/tex]
Generally the expression for a Area of pool + Walkway is mathematically given by
[tex]A'=L'*B'[/tex]
where
[tex]L' =L+2(W_b)[/tex]
[tex]L' =34+2(4)[/tex]
[tex]L'=34+8[/tex]
[tex]L'=272[/tex]
And
[tex]W'=W+2(W_b)[/tex]
[tex]W' =x+2(4)[/tex]
[tex]W' =x+8[/tex]
Therefore
[tex]A'=L'*B'[/tex]
[tex]A'=(272)*(x+8)[/tex]
[tex]A'=272x+2176[/tex]
Generally the expression for a Area of Walkway is mathematically given by
[tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]
[tex]A_w=A'-A[/tex]
[tex]A_w=272x+2176-34x[/tex]
[tex]A_w=238x-2176[/tex]