Answer:
x = number of students in the van = 14
y = number of students in the bus = 37
Step-by-step explanation:
Let
x = number of students in the van
y = number of students in the bus
14x + 2y = 270 (1)
9x + 9y = 459 (2)
Multiply (1) by 9 and (2) by 2
126x + 18y = 2,430 (3)
18x + 18y = 918 (4)
Subtract (4) from (3)
126x - 18x = 2,430 - 918
108x = 1,512
x = 1,512 / 108
= 14
x = 14 students in each van
Substitute x = 14 into (1)
14x + 2y = 270
14(14) + 2y = 270
196 + 2y = 270
2y = 270 - 196
2y = 74
y = 74/2
= 37
y = 37 students in each bus
x = number of students in the van = 14
y = number of students in the bus = 37
Determine the vertex form of g(x) = x2 + 2x – 1. Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3). On a coordinate plane, a parabola opens up. It goes through (negative 1, 2), has a vertex at (1, negative 2), and goes through (3, 2). On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3). On a coordinate plane, a parabola opens up. It goes through (negative 3, 2), has a vertex at (negative 1, negative 2), and goes through (1, 2).
Answer:
the last one I think
Step-by-step explanation:
The vertex form of the quadratic equation is:
[tex]g(x) = (x + 1)^2 - 2[/tex]
And the graph can be seen at the end
How to get the vertex form of the quadratic equation?
For a quadratic equation with leading coefficient a, and with vertex (h, k), the vertex form is:
[tex]y = a*(x - h)^2 + k[/tex]
Here we have:
[tex]g(x) = x^2 + 2x - 1[/tex]
First, we need to find the vertex. by using the known formula we get:
[tex]h = -2/(2*1) = -1[/tex]
To get the value of k, we need to evaluate g(x) in x = -1.
[tex]g(-1) = (-1)^2 + 2*-1 - 1 = 1 - 2 - 1 = -2[/tex]
So the vertex is (-1, -2), which means that the vertex form is:
[tex]g(x) = (x + 1)^2 - 2[/tex]
And its graph can be seen below.
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x + x2 - 5x -5 = 0
state the possible rational zeros and find all the zeros of the polynomial
Answer:
The zeros of the polynomial are -1 and 5
Step-by-step explanation:
Quadratic Equation Solving
The standard representation of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have the following equation to solve:
[tex]x+x^2-5x-5=0[/tex]
Before attempting to solve it, we must simplify the equation.
Collecting like terms and reordering:
[tex]x^2-4x-5=0[/tex]
Here: a=1, b=-4, c=-5
The discriminant of this quadratic equation is:
[tex]d=b^2-4ac[/tex]
[tex]d=(-4)^2-4(1)(-5)=16+20=36[/tex]
Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.
Applying the formula:
[tex]\displaystyle x=\frac{4\pm \sqrt{36}}{2(1)}[/tex]
[tex]\displaystyle x=\frac{4\pm 6}{2}[/tex]
Dividing by 2:
[tex]x=2\pm 3[/tex]
Separating both roots:
x = 2 + 3 = 5
x = 2 - 3 = -1
The zeros of the polynomial are -1 and 5
I need to find x can some one show me how to do It
Answer:
x=4
Step-by-step explanation:
Because 3x4 = 12, and 12 is the number on the other side of the triangle because the sides are equal.
Hope this helps! :)
Question 1 of 8
Which of the following math statements contain variable(s)? Check all that
apply.
O A. 11 - x= 9
B. 4 + 6 = 10
O C. 6 - 6 = 0
D. ? + 1 = 5
Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4 *
Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4.
__________________________________________________________
Parallel lines are lines with the same slope but different y-intercept.
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept.
__________________________________________________________
The given line is y=-2x+4. A line parallel to this would have the same slope, which is -2. To find the y-intercept, plug the point into an equation in point-slope form.
[tex]\displaystyle \text{Point-Slope Form} \rightarrow y-y_{1}=m(x-x_{1})[/tex]
m is the slope, and since the slope is the same as the given line, m will be equal to 2.
The line is supposed to pass through a point, which is written as (x, y). In this line, it is supposed to pass (6, -3). x₁ will be the x value of the point, and y₁ will be the y value of the point. That means x₁ is 6 and y₁ is -3.
Substitute the values into the formula:
[tex]y-y_{1}=m(x-x_{1}) \rightarrow y-(-3)=2(x-6)[/tex]
When subtracting a negative number from a number or variable, the sign will change, and the number will become positive.
[tex]y-(-3)=y+3[/tex]
Here is the new equation:
[tex]y-3=2(x-6)[/tex]
Distribute the 2 to everything in the parentheses. It will be 2 times x and 2 times -6. Remember that a positive number multiplied by a negative number is negative.
Positive(+) times(×) positive(+) = positive(+) Positive(-) times(×) negative(-) = negative(-) Positive(+) divided(÷) by positive(+) = positive(+) Positive(+) divided(÷) by negative(-) = negative(-)[tex]2 \times x=2x\\2 \times -6=-12\\\\2(x-6)=2x-12[/tex]
Rewrite the equation:
[tex]y-3=2x-12[/tex]
Lastly, you need to move -3 to the other side, as slope-intercept form is written as y=mx+b. You can move it by adding three(+3) to both sides, which is simply doing the opposite of it(-3+3=0).
[tex]\displaystyle y-3+3=2x-12+3[/tex]
[tex]y=2x-9[/tex]
The answer to your question is [tex]\bf \displaystyle y=2x-9[/tex].
The actual packing volume in cubic feet, p(s), within a packing crate depends on the length of the side of the base, s, in feet, and of the square-based supports by spanning placed at each corner. This relationship is represented by the table.
If the bases of the supports never have dimensions greater than feet by feet, which statements describe the function represented in the table and the given information? Select two options.
The function is cubic.
D = {R} and R = {R}
R = {15.625 ≤ p(s) ≤ 91.125}
The function has constant second differences.
Answer:
B and D sorry
Step-by-step explanation:
Got it right on my test :)
Answer:
2 and 4
Step-by-step explanation:
Find the area of the figure
Answer:
area=18
Step-by-step explanation:
draw a dotted line so it separates the top part from the bottom and then the area of the bottom part is 6x2 which is 12 and then the area of the top is 3x2 which is 6
6+12=18
Simplify -3√72
A
-18√6
B
-6√6
C
-18√2
D
6√2
Answer:
C. -18√2
Step-by-step explanation:
Write the value of pi correct to
six decimal places.
Please answer quick
Answer:
3.141592
Step-by-step explanation:
What tool do I use on this? (picture needed)
Answer:
a screw driver
Step-by-step explanation:
you can use an electric one if you want to.
Answer:
Allen key
Step-by-step explanation:
What is C
Solve for C
Answer:
Step-by-step explanation:
68 degree F to C.
9/5c+32=68
C=20
Answer:
The answer is C=20
because 9/5c+32=68
Match each data relationship with a type of correlation
Answer:
Y tends to increase as x increases: positive correlation
Step-by-step explanation:
Y tends to decrease as x increases: negative correlation.
Y does not change bases on changes in x: No correlation.
I
Find the value of x in the triangle shown below.
16
12
Answer:
20
Step-by-step explanation:
1. What is the median weight of the Welsh corgis? What does the median tell you about their weights?
Answer:
Male: 22–31 lbs (10–14 kg), Female: 22–29 lbs (10–13 kg)
Step-by-step explanation:
Median tells the average weight. Like, what your corgi might weight.
The median tells us about the center level of all the weights.
What is Median?The median is a statistical measure that represents the central value of a dataset when it is arranged in ascending or descending order. It is the value that separates the higher half of the data from the lower half.
From the given table, we can determine that the median weight of the Welsh corgis is 27.3. The median represents the middle value of a dataset when it is arranged in ascending or descending order.
In this case, it tells us that half of the Welsh corgis in the sample have weights below 27.3, and the other half have weights above 27.3.
So, the median tells us about the center level of all the weights.
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You buy a 5-pound bag of sugar. What is its mass in grams?
Answer:
2270 grams
Step-by-step explanation:
Answer:
5 pounds = 2267.96 grams
In which number does the digit 7 have a value that is 10 times as great as the digit 7 in the number 0.9750
Triangles B and C have been built by dilating Triangle A
Pleas im so close to failing class and can't mess up on this project
Wish you a GREAT Thanksgiving :)
I hope this helps !! =)
a) A
b) 3
c) 1/3
d) 2
Answer:
The answer is d
Step-by-step explanation:
Because it can be combined in the equation
x − 2y = 14 x + 3y = 9 what is the system of equations?
answer
(12, -1)
hope this helps :)
Answer:
(12,-1)
I got it right on my test
help now give me like yuuuuh
Answer:
Step-by-step explanation:
D
help please i would give 20 points if you do
Answer:
6 1/10
Step-by-step explanation:
Answer
6 1/10
Step-by-step explanation:
2 3/5+3 1/2
2+3=5
3/5=6/10 find the common denominator 1/2=5/10
6/10+5/10=11/10
11/10=1 1/10
5+1 1/10= 6 1/10
Please help quickly I will give brainliest to the first correct response!
Jackie took $24 to the movie theater with her and her friends. The price of each bag of popcorn is $4 and the price of each candy bar is $3.
Let the x axis represent the number of candy bars and the y axis represent the number of bags of popcorn.
What is the x intercept and what does it mean?
What is the y intercept and what does it mean?
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.
Step-by-step explanation:
Answer:
When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.
Express 10500 in terms of its prime factors
Step-by-step explanation:
[tex]10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7[/tex]
The Math Club is renting a banquet room for a party with door prizes. The banquet room costs
$125 to reserve and the door prizes each cost $8.50. Find the possible number of door prizes that
can be purchased if the club decides to use no more than $250 to reserve the banquet room and
the purchase the door prizes.
Answer:
14
Step-by-step explanation:
what is the output value of (4x+2)(x-5)/2 using input value of x=2
(4x+2)(x-5)/2
(4 . 2 + 2)(2 - 5)/2
(8 + 2)(- 3)/2
10/2 . (- 3)
5 . (- 3)
- 15
Answer: - 15
Answer:
-15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
(4x + 2)(x - 5) / 2
x = 2
Step 2: Evaluate
Substitute: (4 · 2 + 2)(2 - 5) / 2Parenthesis - Multiply: (8 + 2)(2 - 5) / 2Parenthesis - Add: 10(2 - 5) / 2Parenthesis - Subtract: 10(-3) / 2Multiply: -30 / 2Divide: -15^^^^
please help :)))
2x-1.1/4+x/3=2
2x-1/4+x/3=2
2x-1/4+x/3+1/4=2+1/4
2x+x/3=9/4
3(2x+x/3)=3.94
7x=27/4
7x/7=27/4/7
x=27/8
PLEASE MARK ME AS BRAINLIEST IF U LIKE MY ANSWER AND SORRY FOR GIVING THE ANSWER LATE BECAUSE I'VE GIVEN U ANSWER FROM MY LAPTOP PLEASE TELL THAT IT'S CORRECT OR NOTPLEASE PLEASE HELP I WILL GIVE BRAINALSIT
Answer:
Veggie soup
Step-by-step explanation:
Plz Mark as brainliest!!!
Direction:Determine between what two integers the following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MODULE
Answer:
following square root of a number is. Select the letter of your choice below.
A. 3 and 4. G. 8 and 9
B. 4 and 5. H. 9 and 10
C. 5 and 6. I. 10 and 11
D. 6 and 7. J. 11 and 12
E. 7 and 8. K. 12 and 13
_1. √11. _6.√109
_2.√35. _7.√124
_3.√41. _8.√131
_4.√67. _9.√146
_5.√89 _10.√155
GIVE ME SOME ANSWER JUST FOR MY MO
simplify
21-(x+7)
how do i solve it.
Use a model to divide 2
Answer:
2/2 divided by 1/3 becomes 2/2 * 3/1 by using keep change flip. 2/2 * 3 is 6.
A proportional relationship is shown in the table below:
xxx 000 333 666 999 121212
yyy 000 0.50.50, point, 5 1.01.01, point, 0 1.51.51, point, 5 2.02.02, point, 0
What is the slope of the line that represents this relationship?
\qquad
Graph the line that represents this relationship.
Answer:
1/6
Step-by-step explanation:
1,6
Answer:
1,6
(0,0); (6,1)
Step-by-step explanation: