[tex]y = x-5~~....(i)\\\\y =x^2-5x+3~~.....(ii)\\\\\text{Substitute}~ y= x-5 ~\text{in equation (ii):}\\\\x-5 = x^2 -5x +3\\\\\implies x^2 -5x -x +3 +5 =0\\\\\implies x^2 - 6x + 8 =0\\\\\implies x^2 --4x -2x +8 =0\\\\\implies x(x-4) -2(x-4) =0\\\\\implies (x-4)(x-2)= 0\\\\\implies x =4~~ \text{or}~~ x = 2\\\\\text{Substitute x = 4 in equation (i):} \\\\y = 4-5 = -1\\\\\text{Substitute x = 2 in equation (i):} \\\\y = 2-5 = -3\\\\\text{Hence,}~ (x,y) = (4,-1)~ \text{and}~ (x,y) = (2,-3)}[/tex]
A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %
Answer:
14% of the seats are empty
Step-by-step explanation:
7/50 = ?/100
50×2=100
so 7×2=?
?=14
14/100=14%
The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%
How to work with percentages?
We are given;
Total number of seats in hall = 50
Number of occupied seats = 43
Number of empty seats = 7
Now, we want to find the percent of seats were empty.
This is gotten by;
% of empty seats = (number of empty seats/total number of seast) * 100%
% of empty seats = (7/50) * 100%
% of empty seats = 14%
Read morer about Percentages at; https://brainly.com/question/843074
will brainliest math is killing me mentally please answer and end my suffering.
Answer:
LOL the struggle is real
Karl’s rectangular vegetable garden is 20 feet by 45 feet, and Makenna’s is 25 feet by 40 feet. Whose garden is larger in area?
Answer:
Makennas
Step-by-step explanation:
Area of rectangle = length * width
Area of Karl's garden = 20 * 45 = 900ft²
Area of Makenna's garden = 25 * 40 = 1000ft²
1000 is greater than 900 therefore makennas garden has a greater area than Karls garden
Hence, Makenna's garden is larger in area than Karl's because 1000 > 900.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
please help asap!!!!!
Answer:
d is the question
Step-by-step explanation:
If Angle CAB is 49 degrees, what is the measure of Angle ABD? *
Answer:
49 degree
Step-by-step explanation:
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answer:
x > - 1
Step-by-step explanation:
- 10 < x - 9 ( add 9 to both sides )
- 1 < x , therefore
x > - 1
Answer:
x > -1
Step-by-step explanation:
why:
-10 < x-9 for exemple 2< 3
x-9 > -10 3 > 2
just add 9 to both sides
x-9 +9 > -10 +9
x > -1
meth2
x-9 > -10
x > -10 +9 left to right
x> -1
3 is what percent of 50
Answer:
6%
Step-by-step explanation:
3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%
help please i dont want to fail
Community Involvement Claim: Three-fourths of all adults believe that it is important to be involved
in their communities. Based on a USa Today/Gallup poll of 1021 randomly selected adults, 89%
believe that it is important to be involved in their communities. find the value of the test statistic.
Using the z-distribution, it is found that the value of the test statistic is z = 10.33.
At the null hypothesis, it is tested if the proportion is of [tex]\frac{3}{4} = 0.75[/tex], hence:
[tex]H_0: p = 0.75[/tex]
At the alternative hypothesis, it is tested if the proportion is different, that is:
[tex]H_1: p \neq 0.75[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.75, \overline{p} = 0.89, n = 1201[/tex]
Hence:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.89 - 0.75}{\sqrt{\frac{0.75(0.25)}{1021}}}[/tex]
[tex]z = 10.33[/tex]
A similar problem is given at https://brainly.com/question/24330815
Write the fraction as a decimal
Round to the nearest hundredth
8
11
[?] is i think 0.73 or 0.73/1. or 73/100
Answer: It is 0.73 my friend. Very good work.
Step-by-step explanation:
Function: y=x^2−4x−12
Factored Form: y=(x+_) (x-_)
x -Intercepts: (_,_) and (_,_) Type answers smallest to largest left to right.
Axis of Symmetry: x=
Vertex:
Domain:
Range: y≥
Answer:
Below in bold.
Step-by-step explanation:
y=x^2−4x−12
Factored form: y = (x - 6)(x + 2)
x-intercepts: (-2, 0) and (6, 0).
Axis of symmetry is found by converting to vertex form:
y = x^2−4x−12
y = (x - 2)^2 - 4 - 12
y = (x - 2)^2 - 16.
So axis of symmetry is x = 2.
Vertex is at (2, -16)
Domain is all Real Numbers.
Range is y ≥ -16.
To make his energy drink, Jerome used 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix?
Answer:
I believe the answer is 3:11.
Which translation rule describes the translation that is 2 units to the left and 8 units down?
(x, y) + (x + 2, y - 8)
(x,y) → (x - 2, y - 8)
(x,y) → (x - 2, y + 8)
(x,y) → (x + 2, y + 8)
Answer: (x,y) → (x - 2, y - 8)
Step-by-step explanation:
Two units to the left would mean decreasing value on the x-axis, making it -2.
Eight units down would, again, mean decreasing value on the y-axis, making it -8.
Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.
I hope this helps :)
I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol
In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?
==================================================
Explanation:
We'll need these trig ratios
sine = opposite/hypotenusecosine = adjacent/hypotenuseRefer to the diagram below.
sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.
cos(B) = s = s/1 means the adjacent side to angle B is of length s
sides r and s are the two legs of the right triangle.
----------
From that diagram, we can then say:
sin(angle) = opposite/hypotenuse
sin(C) = s/1
sin(C) = s
This is identical to cos(B). We can say cos(B) = sin(C)
Also, we can say:
cos(angle) = adjacent/hypotenuse
cos(C) = r/1
cos(C) = r
So cos(C) = sin(B)
This works because B+C = 90
----------
So,
sin(C) - cos(C) = cos(B) - sin(B) = s - r
Find the value of x.
X=
137°
(4x-17)
Answer:
x = 15°
Step-by-step explanation:
These angles form a linear
4x - 17 + 137° = 180°
4x - 17 = 43°
4x = 60°
x = 15°
An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.
Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.
Write an equation to find the original amount of oats, x, in the recipe.
Answer:
y = 94.5 cups
Step-by-step explanation:
Let's say:
y = oatsx = chocolate chips = 212=> Full Recipe = 212 + y
=> 2(Full Recipe) = 2(212 + y) = 613 cups
=> 2(Full Recipe) = 424 + 2y = 613 cups
=> 2y = 613 - 424
=> 2y = 189
=> y = 94.5
Therefore, the required oats to do double the recipe is 94.5 cups.
Hoped this helped.
[tex]GeniusUser[/tex]
Write the phrase "Five subtracted from three times any number" as an algebraic expression
Answer: 3x-5
Step-by-step explanation:
Five subtracted from three times any number can be represented as 3x-5.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer should be A......
michelle drove 325 miles in 5 hours. if she traveled at a steady speed, how far did she drive per hour?
Answer:
65 miles per hour.
Step-by-step explanation:
You can divide 325 by 5 to get how many miles she drove per hour :)
Answer:
65mph
Step-by-step explanation:
Divide 325 by 5 to get your answer.
The formula for speed is speed=Distance/Time
So take the total distance, and divide it by the time
Need help ASAP! Directions in picture ;)
Answer:
Simplifying
X + 59 + 84 + X + 51 = 180
Reorder the terms:
59 + 84 + 51 + X + X = 180
Combine like terms: 59 + 84 = 143
143 + 51 + X + X = 180
Combine like terms: 143 + 51 = 194
194 + X + X = 180
Combine like terms: X + X = 2X
194 + 2X = 180
Solving
194 + 2X = 180
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-194' to each side of the equation.
194 + -194 + 2X = 180 + -194
Combine like terms: 194 + -194 = 0
0 + 2X = 180 + -194
2X = 180 + -194
Combine like terms: 180 + -194 = -14
2X = -14
Divide each side by '2'.
X = -7
Simplifying
X = -7
Solve 2x^2 - x ≥ -5. Show your work.
Answer:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]
Step-by-step explanation:
Rewrite into standard form:
[tex]2x^{2} -x+5 \geq 0[/tex]
Complete the square:
[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]
Subtract [tex]\frac{39}{8}[/tex] from both sides:
[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]
Divide both sides by 2:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]
Simplify:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]
$8.28
______
0.3 m
or
$13.00
______
0.4 m
What are the unit prices of each and which one is a better buy?
Answer:
1st
Step-by-step explanation:
1) 1m cost = $8.28/0.3=$27.60/m
2) 1m cost = $ 13.00/0.4=$32.5/m
what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )
Answer:
0
Step-by-step explanation:
........
Answer:
g=-10
Step-by-step explanation:
-g+2(3+g) = -4
-g+6+2g=-4
g=-4-6
g=-10
A?
B?
C?
D?
Number 10 on conexus <3
If correct I’ll give brainlest
PLEASE HELP !! Find the value of x in the triangle shown below. x=?
Answer:
x+44+29=180
x+73=180
x=180-73
x=107
Answer: x+44+29=180
x+73=180
x=180-73
x=107
Step-by-step explanation:
Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
HURRY!!!! I'LL GIVE YOU BRAINEIST!!
Answer:
B save your time its the same answer
Step-by-step explanation:
Good Luck!
Question in picture!!
Step-by-step explanation:
A. 4+(x-y)
B. 6+xy
C.( x.x.).y
hope it helps.
stay safe healthy and happy.
Answer:
A. 4+(X•Y)
B. 6×xy
C. (X•X)y
Solve the equation for x: 2^3 square root 3x+2 = ^3 square root 4x-9
A) x=-5/4
B) x= -13/2
C) x=25/28
D) x=-7/20
The value of x = -5/2
To solve this question we must understand the concept of indices.
What are Indices?Indices in mathematics show the power to which an expression or variable is raised.
Here, the correct format of the equation given in the question as follows:
[tex]\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }[/tex]
[tex]2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}[/tex]
Multiply the power of both sides by 3
(6x + 4) =(4x -9)
6x - 4x = -9 + 4
2x = -5
x = -5/2
Learn more about indices here:
https://brainly.com/question/10339517
Please look at the pictures below for the question and multiple choice answers, thank you.