Which value of X will allow the following set of ordered pairs to represent a function? (3,7) (2,6) (x,8) (1,5)
Answer:
[tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.
Step-by-step explanation:
From Function Theory, we know that a function is a relation in which all domain elements are not related to at least two different elements from range. Which means that [tex]x \in \mathbb{R}-\{1,2,3\}[/tex], that is, that [tex]x[/tex] is a real number different to 1, 2 and 3.
Hence, we conclude that [tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.
Use the meaning of cube roots to show how to find an exact solution to the equation Ya + 2 =
- 2 without using a graph.
Answer: Coordinate plane, x, negative 2 to 2 by 1, y, negative 10
Step-by-step explanation: don't know just trying to help
Allen earns $260.50
doing yard work. He mows 8
lawns for $25
each and weeds gardens for $5.50
each. What equation can be used to find the number of gardens he weeds, w
?
During summer, the height of the water in a pool decreased by 2 inches each week due to evaporation. What is the change in the height of the water over an 8 week period??
Answer:
16in or 1ft 4in
Step-by-step explanation:
write an equation of the line with the given information. m. 4. A(-1.-5)
Answer:
An equation of the line with the given information with
m = 4 and point A(-1, -5) is:
[tex]y=4x-1[/tex]Step-by-step explanation:
As the equation of a line in point-slope form is given by:
[tex]y-y_1=m\left(y-x_1\right)[/tex]
where m is the slope.
Given:
the slope m = 4 the point A(-1, -5)Substituting the values in the equation of a line in point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)[/tex]
[tex]y+5=4\left(x+1\right)[/tex]
subtract 5 from both the sides
[tex]y+5-5=4\left(x+1\right)-5[/tex]
[tex]y=4x-1[/tex]
Therefore, an equation of the line with the given information
with m = 4 and point A(-1, -5) is:
[tex]y=4x-1[/tex]Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence.
Answer:
Juan = 93 years.
Gabe = 31 years.
Catherine = 25 years.
Step-by-step explanation:
Let the age of Juan = J
Let the age of Gabe = G
Let the age of Catherine = C
Translating the word problem into an algebraic equation, we have;
[tex] J = 3G[/tex] ..........equation 1
[tex] G = C + 6 [/tex] ........equation 2
[tex] J + G + C = 149 [/tex] ........equation 3
We would solve the linear equations by using the substitution method;
Substituting equation 2 into equation 1;
[tex] J = 3(C + 6)[/tex]
[tex] J = 3C + 18[/tex] ........equation 4
Substituting equation 2 and equation 4 into equation 3;
[tex] (3C + 18) + (C + 6) + C = 149 [/tex]
Simplifying the equation, we have;
[tex] 5C + 24 = 149[/tex]
[tex] 5C = 149 - 24[/tex]
[tex] 5C = 125[/tex]
[tex] C = \frac {125}{5}[/tex]
C = 25 years.
To find G; from equation 2
[tex] G = C + 6[/tex]
Substituting the value of "C" into equation 2, we have;
[tex] G = 25 + 6[/tex]
G = 31 years.
To find J; from equation 1
[tex] J = 3G [/tex]
Substituting the value of "G" into equation 1, we have;
[tex] J = 3 * 31[/tex]
J = 93 years.
Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.
What is the value of y in the solution to the following system of linear equations?
(2x+2=y
[2y = 5x-1
O 3
05
08
12
Answer:
The value of y is 12 nd that of x is 7
12 is the value of y in the solution to the following system of linear equations 2x+2=y and 2y=5x-1
The given system of linear equations 2x+2=y abd 2y=5x-1
2x-y=-2...(1)
-5x+2y=-1..(2)
Multiply equation (1) with 2.
4x-2y=-4
-5x+2y=-1
Add both the equations
-x=-5
x=5
Now plug in x value
2(5)+2=y
12=y
12 is the value of y.
To learn more on Equation:
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Find the equation of the line passing through the points (3,3) and (4,5)
Answer:
Y = Mx + B
Step-by-step explanation:
I think it's ur answer.
Ok please somebody help me “For every 330 feet a person travels up a mountain the temperature drops 1 °F. If the temperature is 78 °F. at the base of a 6,270- foot mountain, what is the temperature at the peak?”
A student was working on the problem below: Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each. Four times as many drinks as pizzas are needed. What is the maximum number of pizzas that Mr. Braun can buy? The student began by writing the let statement: Let x = # of pizzas Then the student wrote the inequality: \displaystyle 11.00(x)+0.90(4x)\ge85.0011.00(x)+0.90(4x)≥85.00 The student made a MISTAKE. Describe the student's error and explain how you know it's wrong. (Do not solve the inequality.)
Answer:
11x + 0.90(4x) ≤ $85
Step-by-step explanation:
Let the number of pizzas be represented by p
Let the number of sodas be represented by s
Mr. Braun has $85.00 to spend on pizzas and soda pop for a picnic. Pizzas cost $11.00 each and the drinks cost $0.90 each.
$11 × p + $0.90 × s = $85
11x + 0.90y ≤ $85.......Equation 1
Four times as many drinks as pizzas are needed.
4p = s
We substitute 4p for s in Equation 1
11x + 0.90(4p) ≤ $85
What is the maximum number of pizzas that Mr. Braun can buy?
The maximum number of pizzas Mr Braun can buy =
11x + 0.90(4p) ≤ $85
The student's error has to do with the inequality sign. The student used greater than or equal to.
The correct sign is less than or equal to because Mr Braun has only $85 to spend.
sarah works part time in a shop
This is for one of my ARMY friends. Which property of math is 7+(-2)=(-2)+7
NEED HELP QUICK CAN SOMEONE PLEASE HELP WITH THIS!!!!!!
What’s the slope of the line? Please help!!
Answer:
1
Step-by-step explanation:
Answer:
y=x+2
Step-by-step explanation:
:)
Emily has 25 crayons and she gets 18 more how many crayons does she have now?
Answer: 43 crayons
Step-by-step explanation:
HURRY PLEASE!!!!!!
Identify the pairs of supplementary angles (hurry i’m begging)
Answer:
It's: A
Step-by-step explanation:
the time, t, in seconds, is required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given this equation
Answer:
C. [tex] d = \frac{at^2}{2} [/tex]
Step-by-step explanation:
Given:
[tex] t = \sqrt{\frac{2d}{a}} [/tex]
Required:
Make d the subject of the formula.
SOLUTION:
[tex] t = \sqrt{\frac{2d}{a}} [/tex]
Square both sides
[tex] t^2 = (\sqrt{\frac{2d}{a}})^2 [/tex]
[tex] t^2 = \frac{2d}{a} [/tex]
Multiply both sides by a
[tex] a*t^2 = \frac{2d}{a}*a [/tex]
[tex] at^2 = 2d [/tex]
Divide both sides by 2
[tex] \frac{at^2}{2} = \frac{2d}{2} [/tex]
[tex] \frac{at^2}{2} = d [/tex]
[tex] d = \frac{at^2}{2} [/tex]
Factor the linear expression 15x-10 using the greatest common factor of the terms
A.5(3x + 2)
B.5(3x - 10)
C.5(3x- 2)
D.15(x- 2)
Answer:
The answer would be A (3x+2).
Answer: 5(3x-2) - Choice [C]
Step-by-step explanation:
Hii, do you need to factor the expression 15x-10? Np! (:
Note that 15x and -10 have a 5 in common.
To factor it out, we divide 15x and -10 by 5
3x-2 is what we obtain
Next we put parentheses around 3x-2
(3x-2) is what we obtain.
Finally, we put 5 outside the parentheses
5(3x-2)
Voila! There's our answer, cheers! (:
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Hope that this helped! Best wishes.
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Which pair of angles is an example of supplementary angles?
A. Angle 1 and Angle 7
B. Angle 3 and Angle 6
C. Angle 2 and Angle 7
D. Angle 1 and Angle 4
Answer:
I would give you a straight answer if I could see the angles, but all I can say with this is that supplementary angles are angles that add up to 180 degrees.
Hope that helps!
Answer:
A. Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and Angle 7 are not equal but add up to 180° So your answer is A
could anyone solve this equation
i)
[tex]8 - 3x = 23[/tex]
ii)
[tex]5x - 16 = 34[/tex]
iii)
[tex]2 - 5x = - 3[/tex]
Jonathan is dowloading a movie on netflix the movie is approximately 720 MB if the movie takes 20 seconds to download what is the rate
Answer:
r,myp5\6t[
Step-by-step explanation:
What is the Lcm of 18 and 32
Answer:
The LCM of 18, and 32 is
Answer: The LCM is 288.
Step-by-step explanation:
To find the least common multiple of 18 and 32, you will find the multiples of 18 and 32 and look for least multiple number that matches 18 and 32.
Multiples of 18 are: 18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,288
Multiples of 32 are: 32, 64,96,128, 160,192,224, 256, 288
The last digit 288 is the least multiple number that appears in both multiples for the two numbers.
t + –44 = –45 are equivalent to what ?
Answer:
-1
Step-by-step explanation:
Which expression uses the associative property to make it easier to evaluate 6(3/2 * 1/5)?
A. (6 * 3/2)1/5
B. (3/2 * 1/5)6
C. 6(3/2 * 1/5)
D. 6(1/5 * 3/2)
Answer:
A. (6*3/2)1/5
Step-by-step explanation:
A-P-E-X
3.6.2 CST
What was the greatest impact farmers made in China
Answer:China made up $5.9 billion in U.S. farm product exports in 2018, according to the U.S. Census. It’s the world’s top buyer of soybeans and purchased roughly 60 percent of U.S. soybean exports last year.
Step-by-step explanation:
Name two planes that intersect in SW in the figure to the right
Choose the correct answer below.
A. plane XTS and plane TSR
B. plane STX and plane VRQ
C. plane XTS and plane VRS
D. plane TSR and plane VRS
Answer:
a is the right answer you got this
Step-by-step explanation:
Solve the simultaneous equations
2x + 3y = 6
7x – 2y = 1
Answer:
x=0.6, y=1.6
Step-by-step explanation:
Multiply the first equation by 2 and the second equation by 3, so we can cancel out the y terms:
4x+6y=12
21x-6y=3
Add these 2 equations together:
25x=15
x=0.6
Now, to solve for y, plug x back into any of the equations above:
2(0.6)+3y=6
1.2+3y=6
3y=4.8
y=1.6
Answer:
Below in bold.
Step-by-step explanation:
2x + 3y = 6 Multiply by 2:
7x – 2y = 1 Multiply by 3:
4x + 6y = 12
21x - 6y = 3 Adding:
25x = 15
x = 0.6. Substitute x = 0.6 into the first equation:
2*0.6 + 3y = 6
3y = 6 - 1.2 = 4.8
y = 1.6.
PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.
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if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers
Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answer: true
Step-by-step explanation: