This shows that there are 141 men and 21 women in the meeting
Let the number of men present be x
Let the number of women present be y
If the total number of students present in the meeting is 162, hence;
x + y = 162 ............ 1
If there were 15 men more than 6 times the women, then;
x = 6y + 15 ...................2
Substitute equation 2 into 1:
6y + 15 + y = 162
7y + 15 = 162
7y = 162 - 15
7y = 147
y = 21
Recall that x = 6y + 15
x = 6(21) + 15
x = 126 + 15
x = 141
This shows that there are 141 men and 21 women in the meeting
Learn more here: https://brainly.com/question/13805464
f(x) = -x^2+ 6x -10
write each function in vertex form and give the vertex
Answer:
Vertex form: f(x) = – (x – 3)² – 1
vertex: (3, -1)
Step-by-step explanation:
Given the quadratic function, f(x) = -x²+ 6x -10:
where a = -1, b = 6, and c = -10
The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.
To find the vertex, (h, k), you need to solve for h by using the formula: [tex]h = \frac{-b}{2a}[/tex]
Plug in the values into the formula:
[tex]h = \frac{-b}{2a}[/tex]
[tex]h = \frac{-6}{2(-1)} = 3[/tex]
Therefore, h = 3.
Next, to find the k, plug in the value of h into the original equation:
f(x) = -x²+ 6x -10
f(x) = -(3)²+ 6(3) -10
f(x) = -1
Therefore, the value of h = -1.
The vertex = (3, -1).
Now that you have the value for the vertex, you can plug these values into the vertex form:
f(x) = a(x - h)² + k
a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
If a is positive, the graph opens up.If a is negative, the graph opens down.h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Plug in the vertex, (3, -1) into the vertex form:
f(x) = – (x – 3)² – 1
This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.
10.
Find the measure of angle 1.
8x - 4
16x + 8
Answer:
53°
Step-by-step explanation:
As we can see that ∠3 and ∠7 are corresponding angles. Therefore,
∠3 = ∠76x+8 = 8x-76x-8x = -7-8-2x = -15x = -15/-2x = 15/2Now calculate the angles of ∠3 and ∠7.
∠36x+86×15/2+845+853°∠78x-78×15/2-760-753°Now we can see that ∠3 and ∠1 are alternate angles and ∠7 and ∠1 are alternate exterior angles. Thus, we can say that
∠3 = ∠7 = ∠1 = 53°Hence the measure of ∠1 is 53°.
♦♦♦♦♦Hope it helps♦♦♦♦♦
60 (x + 20) 3x what is the value of x?
Answer:
Step-by-step explanation:
Step 1: Equation at the end of step 1
Simplifying
60(x + 20) = 3x
Reorder the terms:
60(20 + x) = 3x
(20 * 60 + x * 60) = 3x
(1200 + 60x) = 3x
Solving
1200 + 60x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
1200 + 60x + -3x = 3x + -3x
Combine like terms: 60x + -3x = 57x
1200 + 57x = 3x + -3x
Combine like terms: 3x + -3x = 0
1200 + 57x = 0
Add '-1200' to each side of the equation.
1200 + -1200 + 57x = 0 + -1200
Combine like terms: 1200 + -1200 = 0
0 + 57x = 0 + -1200
57x = 0 + -1200
Combine like terms: 0 + -1200 = -1200
57x = -1200
Divide each side by '57'.
x = -21.05263158
Simplifying
x = -21.05263158
simplify -3√3(2+√6)
please include steps
Answer:
-6√3 - 9√2
Step-by-step explanation:
So you distribute like normal:
-3√3 times 2 is -6√3
-3√3 times √6 is -3√18
You can simplify -3√18 into -9√2
(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)
(Also you have to divide 9 out of 18 since you are simplifying)
So the answer will be -6√3-9√2
Hope this helps!
You are skateboarding at a pace of 30 meters every 5 seconds. You friend is in-line skating at a pace of 9 meters every 2 seconds. Graph each ratio relationship in the coordinate plane.
We want to find and graph the motion equations by finding the ratios.
The graph can be seen at the end of the answer.
We define the rate of change as the rate at which one variable changes with respect to other.
Here, we know that you move 30 meters every 5 seconds, then your rate of change in position is:
r = 30m/5s = 6 m/s
Note that this is a speed.
For your friend, we know that he/she moves 9 meters in 2 seconds, so his/her rate is:
r' = 9m/2s = 4.5 m/s.
Now we need to graph these in a coordinate plane, but these are just numbers, I assume that you want the motion equation graphed.
The motion equations are just given by the rate we just fond times the variable, in this case, the variable is the time in seconds.
Your equation is:
p(t) = (6 m/s)*t
Your friend equation is:
p'(t) = (4.5 m/s)*t
The graphs can be seen below, the green one is the first function, and the blue one is the second.
If you want to learn more, you can read:
Find 39.2% of 448.Round to the nearest hundredth.
Answer:
175.62
Step-by-step explanation:
39.2•448=17561.6
17561.6/100=175.616
=175.62
write an equation of the line that passes through the point P(2, 5 ) that is parallel to y=4x+1
what's rational numbers
Solve pls
6(n-4)=3n
Plz plz help fast
I will mark Brainlyist
Answer:
forgive me i need points
Step-by-step explanation:
Increase a price of £30 by 10%
Answer:
£33
Step-by-step explanation:
A 10% increase is the same as multiplying a value by 1.1.
30 * 1.1 = 33
Answer:
10 x 30 /100 = 3 so 30 +3 = 33
will give BRAINLIEST!!!!!!
3 3/4 X 1 2/5 do a step by step explanation please and also you have to make it so you convert it into an improper fraction first... please answer!!!
Answer:
5 1/4
Step-by-step explanation:
To convert into an improper fraction, we times the whole number by the denominator and then add the numerator. For the first number, it is 15/4 and the second number is 7/5. Then we multiply 15/4 and 7/5 to get 5 1/4.
Answer:
99/5
Step-by-step explanation:
CONVERT INTO:
33/4 x 12/5
MULTIPLY THE FRACTIONS:
(33x12)
--------------
5
CANCEL TERMS:
(33x3)
-----------
5
SIMPLIFY:
99/5
I need to know if it’s a function and explain how it is. please help!
Answer:
Yes, because it passes the vertical line test. If we were to draw a vertical line anywhere on the graph, it would only go through one point, so the relation is a function.
Step-by-step explanation:
1. This graph is a function because it passes the vertical line test. The vertical line test is a simple method that is used to determine if a relation is a function or not. A function can one output (y) for every unique input (x). If we were to draw a vertical line anywhere on the graph, and it would only go through one point, then the relation is a function. If it went through multiple points in some areas, it's not a function.
2. Since we can draw a vertical line anywhere and have it pass through one point, this relation is a function.
Brainliet ko maka sagot
Answer:
first multiply 3 with −8 and we get − 24
then find two numbers that if we add or subtract we get + 10 and if we multiply we get − 24
and the numbers are + 12 and −2
then we place those numbers as follow :-
3x²+12x−2x−8
then we group them
(3x2+12x)(−2x−8)
now take the common factor out.
3x(x+4)−2(x+4)
then group the numbers outside of the brackets
(3x−2)(x+4)
And that is the answer:
Proper Solution:-
1.) 3x2+10x−8
2.) 3x2+12x−2x−8
3.) (3x2+12x)(−2x−8)
4.) 3x(x+4)−2(x+4)
5.) (3x−2)(x+4)
Please help me!!!!! THIS IS LATE NEED HELP!!!! Just a head's up the graph x and y axis goes by 2 not 1.
Find two points from this graph and then determine the slope.
if the slope of a line 4/9 the slope of a line parallel to this would be
Answer:
4/9
Step-by-step explanation:
Parallel lines have the same slope.
If the slope of one line is 4/9, the slope of a parallel line is 4/9.
Evaluate 12x−3y when x=−14 and y=3
12x - 3y
12(-14) - 3(3)
-168 + 9
-159
Hope this helps!! :)
Answer:
-177
Step-by-step explanation:
12(-14)-3(3)
-168-9
-177
what is 4 1/3-(-2/3)
In 2010, an estimated 1.664 x 10^8 dollars in 1000 bills were in circulation. How many 1000-dollar bills were in circulation?
I'LL GIVE BRAINLIST OR WHATEVER IT'S CALLED JUST HELP ME AND STOP DELETING UR COMMENTS :/ thank u :)
Answer: 166,400,000 1000 bills
$166,400,000,000
Answer:
166,400,000
sry for answering late!
Quis
bentuk pangkat dari
2² + 3² - 2²=
note:. user Indonesia
Answer:
9 Should be your answer
Step-by-step explanation:
[tex]2^{2}[/tex] = 4
[tex]3^{2}[/tex] = 9
These will help us as we solve this problem.
Then: 2² + 3² - 2²
= 4 + 9 - 4
= 9
Kind requests:
Please give brainliest :D
Question
Need help rn
Use the figure to find the measures of the numbered angles.
∠1 = °
∠2 = °
Answer:
m∠1 = 107 degrees
m∠2 = 73 degrees
Step-by-step explanation:
1. ∠1 and the angle with 107 degrees are corresponding angles, which are located in the same relative position. They're congruent in measures, so m∠1 = 107 degrees.
2. ∠1 and ∠2 are a linear pair, meaning their angle measures add up to 180 degrees. Given m∠1 = 107 degrees, we just have to subtract 107 from 180 to get m∠2.
[tex]180-107[/tex] [tex]73[/tex]Therefore, m∠2 = 73 degrees.
f
2x2 - 7x-4
Simplify
x2 - 5x +4
2x +1
x-1
2x + 1
x+1
2-7x
5x
DONE
Answer:
1. [tex] \frac{2x + 1}{x - 1} \\ [/tex]Step-by-step explanation:
[tex] \frac{ {2x}^{2} - 7x - 4 }{ {x}^{2} - 5x + 4 } \\ \frac{ {2x}^{2} + x - 8x - 4 }{ {x}^{2} - x - 4x + 4} \\ \frac{x(2x + 1) - 4(2x + 1)}{x(x - 1) - 4(x - 1)} \\ \frac{(x - 4)(2x + 1)}{(x - 4)(x - 1)} \\ \frac{2x + 1}{x - 1} \\ [/tex]
A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (negative 1, 2), (0, 2), and (2, 2). The second line is labeled y equals g(x) and passes through (negative 0.5, negative 2), points at (0, negative 1), and (1, 1). The lines intersect at (1.5, 2).
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Answer:
1.5 Or C :)
Step-by-step explanation:
please help me..
here is a part of a proof that chen wrote. what is his error?
(refer to the picture)
Answer:
<A is not congruent to angles B or C
Step-by-step explanation:
AB ~AC Given
<B ~ <C isosceles Triangle Theorem
The length of the side AB and AC will be congruent with each other. Then the triangle ΔABC will be an isosceles triangle.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
In triangle ΔABC, then the length of the side AB and AC will be congruent to each other.
AB = AC
Then the triangle ΔABC will be an isosceles triangle.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
5-7/8 reduced to its lowest from
Answer:
4 1/8
Step-by-step explanation:
subtracting a whole number with a fraction just means I have to change one of the numbers so they match with the other.
meaning I should change the whole number 5 to a fraction.
I will use the bottom number to figure out what the fraction in the whole number should look like.
5 = 5/1
I want the bottom number to be 8 like the other fraction 7/8
I multiply the top and bottom number of 5/1 by 8, giving me
40/8
now I subtract 40/8-7/8 = 33/8 or 4 and 1/8
A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant vector. PLEASE HELP
What is the solution to the following equation? Show all work.
3(x+2)-2x =-2(x-3)+3x
(1) No Solutions
(3) x=2
(2) Infinite Solutions
(4) x=-3
Answer:
No solutions
Step-by-step explanation:
I hope my answer help you.
May I please receive help?
Emmanuel went to Circuit City to buy a refrigerator for $3,652. This week at Circuit City, all kitchen appliances have a discount of 35%. If Emmanuel goes to Circuit City this week, how much will he pay for the refrigerator?
Answer:
2373.8 dollars
Step-by-step explanation:
3652 times 35% equals 1272.2 so 3652 - 1272.2 = 2372.8
y=-4(x-2)^2+4 what is the vertex and axis of symmetry of this equation?
Answer:
Step-by-step explanation:
for vertex
x-2=0 gives x=2
when x=2,y=4
vertex (2,4)
axis of symetry
x-2=0