Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Answer:
Step-by-step explanation:
If the product of 2 integers is -12, then that equation looks like this:
xy = -12
If the sum of those same 2 integers in 1, then that equation looks like this:
x + y = 1
Let's solve the second equation for x and plug it into the first equation. Solving the second equation for x gives us
x = 1 - y and plug that into the first equation in place of x to get:
(1 - y)y = -12 and
[tex]y-y^2=-12[/tex] Now move everything over to one side and factor to find y:
[tex]-y^2+y+12=0[/tex] and the 2 values for y are
y = -3 and y = 4. Let's see what happens when we solve for x.
If xy = -12 and y is -3:
x(-3) = -12 so
x = 4
If xy = -12 and y is4:
x(4) = -12 so
x = -3
So it looks like the 2 integers are -3 and 4
Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=
Answer:
[tex]p=11.2[/tex]
Step-by-step explanation:
Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:
[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]
Simplify:
[tex]14.3p-32.24=127.92[/tex]
Add 32.24 to both sides:
[tex]14.3p=160.16[/tex]
Divide both sides by 14.3:
[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]
Pier is a teacher
There are 13 boys and 17 girls in the class
Pier chooses one student at random
Workout the probability the student is a boy
Answer:
I think its 43%
Explanation
math
The probability of Pier choosing a boy is 0.43 or 43%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The total number of students in the class is:
13 boys + 17 girls
= 30 students
The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:
Probability of choosing a boy.
= number of boys / total number of students
Probability of choosing a boy.
= 13 / 30
Probability of choosing a boy.
= 0.4333 or approximately 0.43
Therefore,
The probability of Pier choosing a boy is 0.43 or 43%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.
G(4, 6), H(1, 5)
Answer:
x-3y=-14
Step-by-step explanation:
Slope = (5-6)/(1-4) = -1/-3 = 1/3
y-intercept is,
b=6-1/3×4 = 14/3
so the equation is,
y=x/3+14/3
or, 3y=x+14
or, x-3y=-14
Answered by GAUTHMATH
Standard form the equation of the line passing through the given points is x-3y=-14
What is equation?Statement of equality between two expressions consisting of variables and/or numbers
Given points are: G(4, 6), H(1, 5)
Now,
Slope = (5-6)/(1-4)
= -1/-3
= 1/3
and y-intercept is,
b=6-1/3×4
b = 14/3
Hence, the equation is,
y=x/3+14/3
or, 3y=x+14
or, x-3y=-14
Learn more about equation here:
brainly.com/question/10413253
#SPJ2
help and explain//////////////////////////////////////////////
Answer:
(f + g)(x) = 5x - 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 4 + 3x - 7 ← collect like terms
= 5x - 3
Answer:
5x - 3
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
= 2x + 4 + ( 3x - 7 )
= 5x - 3
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softball's acceleration is –16 ft/s2, which quadratic equation models the situation correctly?
Answer:
The function is:
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Step-by-step explanation:
Given
[tex]height = 3ft[/tex]
[tex]velocity = 50ft/s[/tex]
[tex]acceleration = -16ft/s^2[/tex]
Required
The function
Let t represents time;
So, we have:
[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]
So, we have:
[tex]f(t) = -16* t^2 + 50* t + 3[/tex]
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Answer:
b on edge
Step-by-step explanation:
At a point 25 ft. from the base of a totem pole, the angle of elevation of the top of the pole is 50.1 °. How tall is the totem pole to the nearest foot?
Answer:
height ≈ 30 ft
Step-by-step explanation:
The situation is modelled by a right triangle.
let h be the height of the totem pole, then
tan50.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{25}[/tex] ( multiply both sides by 25 )
25 × tan50.1° = h , then
h ≈ 30 ft ( to the nearest foot )
Which expressions are equivalent to 6 - 4.5+ (-8) ?
A 6 + 4.5 + 8
B 6 + 4.5 - 8
C 6 – 4.5'+8
D 6 - 4.5 - 8
E 6+(-4.5) - 8
F 6+(-4.5) + (-8).
G 6+ (-4.5) - (-8)
Answer:
I'm pretty sure the answers are options D , E and F .
Step-by-step explanation:
So here's how I did it , I got the original expression , solved it and the answer I found is -6.5. So then I solved all the others and D , E and F gave me -6.5.
Hope this helps lol
Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?
Answer:
3*3*44.14$
That's the answer
Use a calculator
A water tower casts a 100-foot shadow. At the same time, an 8-foot stri
sign casts a shadow of 6 feet. What is the height of the towers?
Set up ratios of height / shadow length:
8/6 = x/100
Cross multiply
6x = 800
Divide both sides by 6
X = 133.33 feet
The tower is 133.3 feet
A dot plot with an axis marked from 0 to 10 at increments of 1 is shown. Plot shows 8 dots at 0, 7 dots at 1, 5 dots at 2, 4 dots at 3, 2 dots at 4, and 1 dot at 10.
A)
The mean is equal to the median and the data are symmetric.
B)
The peak is equal to the median and the data are skewed.
C)
The data are skewed and there is an outlier.
D)
The data are symmetric and there is an outlier.
Answer:
C) The data are skewed and there is an outlier.Step-by-step explanation:
Its clear from the dot plot that:
There is an outlier at 10, since majority of data are concentrated at 0-4 interval with only one far away.The data are skewed, since most data concentrated to one side of the median.So, the correct choice is C
The given information in the dot plot is,
i) An outlier is present at 10.
ii) The data's majority are concentrated at 0 to 4 interval.
iii) 10 is the only one, which is far away.
iv) We confirm that the data are skewed.
v) Because the most data is concentrated in one median's side.
Then the final answer will be,
C) The data are skewed and there is an outlier.
Therefore, option (C) is the answer.
I need help with this it’s saying the “blank” Method would be the best for solving this system of equations
6x + 4y=8
-x+4y=12
Answer:
-12+4y=x..............1
6(-12+4y)+4y=8
-72+24y+4y=8
28y=80
y=3.33
-12+4(3.33)=x
1.32=x
solve the simultaneous equation: x-y=2
xy=36
Answer:
Y= –7.08, 5.08
Step-by-step explanation:
hope ya ready bro.
X=36/Y
replace 36/y instead of X
36/Y–Y=2===> 36–Y²=2Y===> Y²+2Y–36=0
Y1= –1+√37≈ –7.08
Y2= –1–√37≈ 5.08
What is the gradient of a line perpendicular to a line with a gradient of -6?
Answer:
1/6
Step-by-step explanation:
Gradient of a line perpendicular to a line with a gradient of m = -1/m
Gradient of a line perpendicular to a line with a gradient of -6 = -1 /-6 = 1/6
What is the other solution to the equation (Algebra ll) *URGENT*
Given:
The equation is:
[tex]3-2|0.5x+1.5|=2[/tex]
One solution of this equation is -2.
To find:
The another solution of the given equation.
Solution:
We have,
[tex]3-2|0.5x+1.5|=2[/tex]
It can be written as:
[tex]-2|0.5x+1.5|=2-3[/tex]
[tex]-2|0.5x+1.5|=-1[/tex]
Divide both sides by -2.
[tex]|0.5x+1.5|=0.5[/tex]
After removing the modulus, we get
[tex]0.5x+1.5=\pm 0.5[/tex]
Case I:
[tex]0.5x+1.5=0.5[/tex]
[tex]0.5x=0.5-1.5[/tex]
[tex]0.5x=-1[/tex]
Divide both sides by 0.5.
[tex]x=-2[/tex]
Case II:
[tex]0.5x+1.5=-0.5[/tex]
[tex]0.5x=-0.5-1.5[/tex]
[tex]0.5x=-2[/tex]
Divide both sides by 0.5.
[tex]x=-4[/tex]
One solution of the given equation is [tex]x=-2[/tex] and the another one is [tex]x=-4[/tex].
Therefore, the correct option is B.
In a group of 26 pupils, 3 play the flute only.
5 play the piano only.
7 play neither instrument.
How many pupils play both instruments?
Here is a Venn diagram:
a solid cylinder has radius x cm and height (7x÷2) cm .the surface area of a sphere with radius R cm is equal yo the total surface area of the cylinder . find an expression for R in terms of x
Answer:
[tex]R=(\sqrt{11} )\frac{x}{2}[/tex]
Step-by-step explanation:
The expression for the radius of the sphere will be R = (3/2)x.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that a solid cylinder has a radius x cm and height (7x÷2) cm .the surface area of a sphere with a radius R cm is equal to the total surface area of the cylinder.
The expression will be solved as:-
SA ( sphere) = 4πR²
SA (cyl) = 2πr² + 2πrl
SA (cyl) = 2πx² + 2πx ( 7x / 2)
SA (cyl) = 2πx² + 7πx²
SA ( sphere) = SA (cyl)
4πR² = 2πx² + 7πx²
R² = 9πx² / 4π
R = √(9x²/4)
R = ( 3 / 2 )x
Therefore, the expression for the radius of the sphere will be R = (3/2)x.
To know more about an expression follow
https://brainly.com/question/17648646
#SPJ5
x^3 - 3mx^2 + 3(2m - 1)+1
Answer:
21e
jjjjjjjoiooooooooooooooooooooimm
what rule changes input to output numbers
Answer:
C. 3x - 5
Step-by-step explanation:
The inputs are the values of x and the outputs are the values of y.
checking all options by placing any output as x and seeing if it gives the same output as in the table.
All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")
Let's take x = 4
placing it in 3x - 5
output (y) = 3(4) - 5
= 12 - 5
= 7
same as the output given in the table so the answer is C.
PLZ HELP its due soon!!!
Answer:
E)
Step-by-step explanation:
1) 6.50 (starting with his current wage)
2) 6.50 + 0.25 = 6.75 $
3) 6.75 + 0.25 = 7.00 $
4) 7.00 + 0.25 = 7.25 $
5) 7.25 + 0.25 = 7.50 $
6) 7.50 + 0.25 = 7.75 $
help me solve the simultaneous linear inequalities
Answer:
The inequality form is -4<x<-2
The Interval Notation is (-4, -2]
I hope this helps!
You want to change your cell phone service. The new company charges $40 per
month for cell phone use. There is a one-time start-up fee of $25. Which equation
shows the total cost of your cell phone service over time?
Answer:
y=40x+25
plz mark brainliest
(Will put as Brainliest) Please help! :")
A speciality candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of 3cm and the graham cookie is a rectangular prism with a base measuring 5cm by 5cm and a thickness of 0.5cm. What is the total surface area of the bite if each piece is drenched in chocolate from top to bottom before being put together, to the nearest tenth of a square centimetre.
Answer:
88.27 cm^2
Step-by-step explanation:
Cherry=4(3.14)(1.5)^2
=28.27
Cookie=2·(5·5+0.5·5+0.5·5)
=60
60+28.27=88.27
Solve |x +6| – 7 = 8.
Answer:
[tex](x + 6) - 7 = 8[/tex]
[tex]x + 6 - 7 = 8[/tex]
[tex]x - 1 = 8[/tex]
[tex]x = 8 + 1[/tex]
[tex]x = 9[/tex]
Select the correct answer.
What are the solutions to this quadratic equation?
x^2+13=8x+37
A. x=4+2sr 10
B. x=-4+4sr10
C. x=-2+4sr10
D. x=4+sr10
Answer:
the answer to the question is C
pls pls pls answer and pls dont use this post just for extra points i actually rly need help
:( please don't
Answer:
1/2
Step-by-step explanation:
Probability is equal to the amount of desirable outcomes divided by the total amount of outcomes. Each coin has two sides, and there are three of them. This accounts for a total of 2^3 or 8 outcomes. Now, we need to find the amount of outcomes where two or more coins land on heads. We can start by listing those possibilities: THH, HTH, HHT, and HHH. Notice that the first three are just three ways of rearranging the same result. We can see that there are four desirable outcomes. This means the probability is 1/2.
We can use SOH-CAH-TOA for
A. Any triangle ever
B. Non-right triangle only
C. right triangle only
D. Never
Answer:
C. right triangle only
Step-by-step explanation:
Other triangles use other laws such as law of cosines or sines to solve them. Right triangles exclusively use SOH-CAH-TOA because side opposite to 90 degree is always hypotenuse.
please help!
factor f(x)=6x^2-x-2
Hi there!
[tex]\large\boxed{(3x - 2)(2x + 1) }[/tex]
6x² - x - 2
To solve, we must factor into the following format:
(ax - b)(cx - d)
The following conditions must be met:
a · c = 6
da + bd = -1
b · d = -2
By guessing and checking, we get:
(3x - 2)(2x + 1)
Answer for Acellus:
(2 x + 1) (3 x - 2)
Step-by-step explanation:
i checked the equation on an online calculator, and it came up with it switched (compared to the other answer that is posted) like so...
I put the answer in and it said it was right for Acellus.
Hope this helps :))
What is the slope of the line that contains the points in the table
Answer:
C. -5
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from table
Point (-1, 6)
Point (0, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1 - 6}{0 - -1}[/tex]Subtract: [tex]\displaystyle m = \frac{-5}{1}[/tex]Simplify: [tex]\displaystyle m = -5[/tex]Which equation is a radical equation? 4p =√-3 + p x√3 + x =^3√2x 7√11– w = –34 5 – ^3√8= v√16
Answer:
See explanation
Step-by-step explanation:
The given options are not properly formatted; so, I will give a general explanation instead
An equation is said to be radical if its variable is in a radicand sign.
For instance, the following equation is a radical;
[tex]\sqrt x + 2 = 4[/tex]
In the above equation, x is the variable, and it is in [tex]\sqrt[/tex] sign
However, the following equation is not a radical equation
[tex]x + \sqrt 4 = 2[/tex]
Because the variable is not in a radicand
When CP = Rs 1250 and SP = Rs 1500, find profit or loss percent ?
Answer:
profit=20%
Step-by-step explanation:
profit%=sp-cp/cp×100%
=1500-1250/1250×100
=250/1250×100
=20%
