Answer:
The numbers are a= 4 and b= 8.
Step-by-step explanation:
Let the unknowns number be a and b.
assume a>b.
As per the given condition: The sum of two number is 12 and the difference of the same is -4.
from the above conditions we have:
[tex]a+b =12[/tex] ......[1]
[tex]a-b=-4[/tex] ......[2]
Now, adding equations, we will eliminate b leaving an equation in a that we can solve:
⇒ [1]+[2] gives;
[tex](a+b)+(a-b)=12+(-4)[/tex] or
[tex]a+b+a-b=12-4[/tex]
Simplify:
[tex]2a=8[/tex]
Divide by 2 on both sides, we get
[tex]\frac{2a}{2}= \frac{8}{2}[/tex]
Simplify:
a=4
Substitute the value of a= 4 in equation [1] . to solve for b;
[tex]4+b=12[/tex] or
b= 12-4 =8
Therefore, the numbers a and b are 4 and 8
Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x – 2. How does the graph of g(x) compare to the graph of f(x)? The line of g(x) is steeper and has a higher y-intercept. The line of g(x) is less steep and has a lower y-intercept. The line of g(x) is steeper and has a lower y-intercept. The line of g(x) is less steep and has a higher y-intercept.
Remark
The best way to answer something like this is to actually graph both equations. I have done that for you below.
Red Line: f(x) = 1/4x - 1
Blue Line: g(x) = 1/2x - 2
Now look at the answers.
A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.
B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].
C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.
D is correct.
E is just wrong. Both parts are incorrect.
Find the measure of z.
A. 80°
B. 83 °
C. 70 °
D. 87 °
z and 100 are on the same line so the total is 180
180-100=z
80=z
Please give Brianest
You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?
Answer:
6 2/3 miles times 4 =
Step-by-step explanation:
Convert the fraction 2/3 to a decimal
2/3 = .67
6.67 miles times 4 = 26.68 miles
or 6x4= 24
2/3+2/3+2/3+2/3 =8/3 or 2 2/3
2 2/3 +24 =26 2/3 miles
Last week I jogged for [tex]26\frac{2}{3}[/tex] miles in 4 times.
What is improper fraction ?An improper fraction is when the value in the numerator is more than the value in the denominator.We can also write improper fraction in the form where we write the whole part and with a proper fraction where numerator is the remainder and denominator remains the same.
According to the given question
I jog [tex]6\frac{2}{3}[/tex] miles around a track last week I jogged 4 times around that track
therefore my total jogging distance will be
= 4([tex]6\frac{2}{3}[/tex]) miles
= 4 × 20/3 miles
= 80/3 miles
= [tex]26\frac{2}{3}[/tex] miles
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How do you simplify?
You have to divide 27 by 15 to get your answer
For g(x) = 4x-9 Find g(x) When X=3 And When X=5 I Need Help Again I Don't Get This One Either!
Hey there!
Let's first solve g(x) when x = 3.
The first step is to change wherever it says x in the equation to 3, because that is the value we are solving for.
g(3) = 4(3) - 9
Next, we can multiply 4 by 3, because multiplication comes before subtraction in PEMDAS.
g(3) = 12 - 9
Lastly, we can subtract 9 from 12 to get the final value.
g(3) = 3 So, the value for g(x) when x = 3 is 3.
Now, we'll solve for g(x) when x = 5.
The first step is to change wherever it says x in the equation to 5, because that is the value we are solving for.
g(5) = 4(5) - 9
Next, we can multiply 4 by 5, because multiplication comes before subtraction in PEMDAS.
g(5) = 20 - 9
Lastly, we can subtract 9 from 20 to get the final value.
g(5) = 11 So, the value for g(x) when x = 5 is 11.
Hope this helps!
Shamika is making cakes in the same shape, but different sizes, to sell at a school bake sale. She says that the perimeter for each cake is porportional to the length of one side. What shape are her cakes?
Answer: Square.
Shamika is making cakes that are of the same shape but they differ in sizes. According to her, the perimeter of one cake is proportional to one the side lengths.
If we consider a few basic shapes, we can think of a circle, a triangle, a square.
For circle, it cannot be true because it has no sides.
For this to be true for a triangle, the triangle must be equilateral.
However, a square is such a shape which has equal length of all the sides. So for squares of different sizes, the perimeter of each cake would be proportional to one of its side.
Perimeter of square = x + x + x + x = 4x
Therefore 4x/x = 4
A square of perimeter 4 will have a proportion of 1:4 from its length to perimeter.
Evaluate. 8 - 2 · 3 + 7 =?
Answer:
9 is your answer
Step-by-step explanation:
Remember to follow PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction). Remember to also follow the left -> right rule.
Solve:
8 - 2 x 3 + 7
First, Multiply -2 and 3 together
8 + (-2 x 3) + 7
8 - 6 + 7
Next, follow the left to right rule, subtract.
(8 - 6) + 7
(2) + 7
Finally, Add
2 + 7
9
9 is your answer
~
I'm pretty sure the answer would be 9
Best of luck, Hope this helps if I'm wrong I'm terribly sorry
~Animaljamissofab ♥
in a triangle one interior angle is 58 degrees bigger than the original interior angle the third angle is 37° larger than three times the original interior angle
[tex]\text{ Answer: original angle will be }17\textdegree\\\\\text{ second angle will be }x+58\textdegree=17+58=75\textdegree\\\\\text{ third angle will be } 3x+37=3\times 17+37=88\textdegree[/tex]
Step-by-step explanation:
Let original interior angle be x
Let second interior angle be x+58
Let third interior angle be 3x+37
As we know that
[tex]\text{sum of three angles in triangle is 180\textdegree}[/tex]
So, we can use this
[tex]x+x+58\textdegree+3x+37\textdegree=180\textdegree\\\\5x+95\textdegree=180\textdegree\\\\5x=180\textdegree-95\textdegree\\\\5x=85\textdegree\\\\x=\frac{85}{5}\\\\x=17\textdegree[/tex]
So, each angle will be
[tex]\text{ original angle will be }17\textdegree\\\\\text{ second angle will be }x+58\textdegree=17+58=75\textdegree\\\\\text{ third angle will be } 3x+37=3\times 17+37=88\textdegree[/tex]
What numbers are 3 units away from -1 on a number line?
Answer: 2 and -4
Step-by-step explanation:
tiffanyrenaew21 is not completely right. The correct answer would be 2 and -4. This is how you find your answer:
First you form an equation: |x-(-1)|=3
|x+1|=3 - - - - - - - - |x+1|=-3
Subtract 1 from both sides
x=2 - - - - - - - - - - x=-4
You will always have 2 answers as absolute value equations and inequalities can always be positive or negative. |positive or negative| = positive.
If |x|=-n, then there are no solutions, becuase absolute value can't be negative.
which values are possible rational roots of 9x3+14x2−x+18=0 according to the rational root theorem
+-1/3
+-1/8
+-3
+-1/2
According to the Rational Root Theorem, the potential rational roots of the equation 9x^3 + 14x^2 - x + 18 = 0 are ±1/3 and ±3. The values ±1/8 and ±1/2 are not valid since their denominators are not factors of the leading coefficient, which is 9.
Explanation:The possible rational roots of the polynomial equation 9x^3 + 14x^2 - x + 18 = 0 can be determined using the Rational Root Theorem. This theorem states that any rational solution, expressed in the form of a fraction p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, must be among these possible roots.
The constant term in this equation is 18, and its factors are ±1, ±2, ±3, ±6, ±9, ±18. The leading coefficient is 9, with factors of ±1, ±3, ±9. According to the Rational Root Theorem, we take each factor of the constant term and divide by each factor of the leading coefficient to find the possible rational roots. Thus, the potential rational roots are ±1/1, ±1/3, ±1/9, ±2/1, ±2/3, ±2/9, ±3/1, ±3/3, ±3/9, and so forth, including their negative counterparts.
From the options provided in the question, the potential rational roots that fit the criteria set by the theorem are: ±1/3, and ±3. The other options, ±1/8, ±1/2, do not satisfy the theorem as their denominators are not factors of the leading coefficient.
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what would this be simplify (-10)^2
Note that when a number is to the power of 2, just multiply the number to itself once.
(-10)^2 = (-10)(-10)
(-10) x (-10) = 100
(Note that two negatives, when multiplied, will result in a positive answer)
100 is your answer
~Rise Above the Ordinary
51 is the product of diego’s score and 3
Translate into an equation
Answer:
3d = 51 is the desired equation; its solution is d = 17.
Step-by-step explanation:
Let d represent Diego's score. Then 3d = 51, or d = 17.
"51 is the product of Diego's score and 3" is written as 51=3x. We know this because "is" means "=", and "the product of" means multiplication. Since "Diego's score" is unknown, it would be a number x (multiplied by 3 would make it 3x). The answer to this is 17, because 51/3=17. :)
7.5x+20y=900 models how many hours (x) and how many lawns mowed (y) Jon has to work in order to save $900. Give 3 combinations of hours worked and lawns mowed that result in $900.
Final answer:
The equation 7.5x + 20y = 900 can be solved for y by substituting different values for x to find three combinations that satisfy the equation: (0 hours, 45 lawns), (40 hours, 30 lawns), and (80 hours, 15 lawns).
Explanation:
The equation 7.5x + 20y = 900 models the relationship between the hours worked (x) and lawns mowed (y) for Jon to save up $900. To find combinations that result in $900, we can select different values for x or y and solve for the other variable.
Let x = 0 (no hours worked), then 7.5(0) + 20y = 900, which simplifies to 20y = 900. Dividing both sides by 20 gives us y = 45. So, one combination is (0 hours, 45 lawns).Let x = 40 (hours worked), then 7.5(40) + 20y = 900, which simplifies to 300 + 20y = 900. Subtracting 300 from both sides gives us 20y = 600, and dividing by 20 results in y = 30. Thus, another combination is (40 hours, 30 lawns).Let x = 80 (hours worked), then 7.5(80) + 20y = 900, which simplifies to 600 + 20y = 900. Subtracting 600 from both sides gives us 20y = 300, and dividing by 20 results in y = 15. Therefore, a third combination is (80 hours, 15 lawns).These three combinations represent different ways Jon can work hours and mow lawns to reach his goal of saving $900.
A 6.7 kg object moves with a velocity of 8 m/s . What it’s kinetic energy ?
Answer:
The Correct answer to this question for Penn Foster Students is: 214.4 J
Step-by-step explanation:
PLEASE HELP!!!
Simplify.
4−8÷2+3
Enter your answer in the box.
How to get answer: First you need to use PEMDAS or GEMDAS
[tex]4 - \frac{8}{2} + 3[/tex]
= 4 - 4 + 3
= 0 + 3
= 3
Solve the equality, - (7c-18)-2c>0
I need help please!!
the first answer is correct
For the piecewise Function below, which of the following statments is true? Someone please help me
Remark
Let's just figure out what f(1) and f(3) are and what equation to use.
f(1)
f(1) is defined by the top condition. Look at the condition carefully. -3 ≤ x ≤ 1
So the value of f(1) is
(x + 1)² -1
(1 + 1)² - 1
2² - 1
4 - 1 = 3
f(3)
f(3) is governed by the middle condition. 1 < x ≤ 3
The value of f(3) is - x + 2 = - 3 + 2 = - 1
Conclusion
f(1) > f(3)
Comment
Both f(1) and f(3) are defined. You just have to look around to find out where. D is wrong.
We calculated both f(1) and f(3). f(1) is larger than f(3) so that is your answer.
Graph the relation. Is the relation a function? Why or why not?
{(–1, 1), (–2, 1), (–2, 2), (0, 2)}
Yes; there is only one domain value for each range value.
No; a domain value has two range values.
Yes; there is only one range value for each domain value.
No; a range value has two domain values.
{(–1, 1), (–2, 1), (–2, 2), (0, 2)}
In a function, each input has an output
Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.
Here domain is {-1, -2, -2, 0}
Range is { 1, 1, 2, 2}
Domain -2 is repeating so this relation is not a function
Answer : No; a domain value has two range values.
Answer:
The Answer is: No; a domain value has two range values.
Step-by-step explanation:
What is one light year in seconds need it to written out in the conversion format
In one year there are 365 days of 24 hours. Each hour has 60 minutes and each minute is 60 seconds long. So, 60s/min x 60 min/hr x 24hr/day x 365 days equals 31,536,000s.
Hope this helps you with your answer. If it is incorrect, then I am sorry.
I'm going to do this in meters which will turn into km. which you can then convert into miles.
The speed of light is 2.998 * 10 ^8 meters /second
2.998*10^8m/s[3600 s/hr]*[24 hrs/day]*[365 days/year]
2.998*10^8 * 3600 * 24 * 365 = 9.45*10^15 m/year
9.45*10^15 m/year / 1000 m/km = 9.45 * 10^12 km/year
If you want miles, just divide this number by 1.6
9.45 * 10^12 / 1.6 = 5.91 * 10^12 miles / year. When you google this, the answer they give is 5.87 * 10^12 miles / yr. The difference is in where you round, the use of an approximate 1.6 and the length of a year.
ms. dawson spent $28 for 8 notebooks. if each notebook sells for the same price, how much would she have to spend for 48 notebooks?
Answer:
She would have to spend $168
Step-by-step explanation:
Step one:
Divide 28 by 8 to find out how much one individual notebook costs.
28/8 = $3.50
$3.50(a)
a = amount of notebooks bought
Now multiply it by how many she buys
$3.50(48) = $168
This means she spend $168 on 48 notebooks.
max and his friend eke are comparing their ages. They figure out that if they double max's age from 3 years ago and add it to zee's current age, the sum is 26.If zeke is currently 8 years old determine how old max currently is.
Answer:
Max is currently 12 years old.
Step-by-step explanation:
Zeke's current age = 8 years
Lets take Max's current age as [tex]x[/tex] years.
Then Max's age 3 years ago = [tex]x-3[/tex]
Double Max's age 3 years ago = [tex]2*(x-3)[/tex]
Double Max's age 3 years ago + Zee's current age = 26
⇒ [tex]2*(x-3)[/tex] + [tex]8[/tex] = [tex]26[/tex]
=[tex]2*(x-3)+8=26[/tex]
=[tex]2x-6+8=26[/tex] (Simplifying the brackets)
=[tex]2x+2=26[/tex]
=[tex]2x+2-2=26-2[/tex][tex]2x=24
=[/tex][tex]x=12[/tex]
So Max's current age is 12 years.
Kayli’s dad is 4 years less than 6 times Kayli’s age. Write a variable expression for the age of Kayli’s dad. Use x to represent Kayli’s age.
REALLY NEED HELP!
6x-4
hope this answers your question.
Final answer:
The variable expression for the age of Kayli's dad, in terms of Kayli's age (x), is 6x - 4, where x represents Kayli's age.
Explanation:
The question asks for a variable expression for the age of Kayli's dad, given that his age is 4 years less than 6 times Kayli's age. To create this expression, we first recognize that "6 times Kayli's age" can be represented as 6x, where x is Kayli's age. To account for "4 years less," we simply subtract 4 from this expression. Therefore, the age of Kayli's dad, in terms of Kayli's age (x), is represented by the variable expression 6x - 4.
HELP PLEASE I NEED THIS URGENT 10 POINTS AND BRAINLIEST
63 = 7x
Divide both sides by 7
9 = x
or
x = 9
Answer
9
Which sequence of similar transformations could map △ABC onto △A'B'C'?
dilation and reflection
dilation and translation
translation and rotation
translation and reflection
A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta \;\text{A''B''C''}}.[/tex]
Further Explanation:
Given:
The options are as follows,
(A). A dilation and a reflection
(B). A dilation and a translation
(C). A translation and a rotation
(D). A translation and a reflection
Explanation:
The reflection symmetry is defined as a line that divides the Figure into two equal parts.
Translation can be defined as to move the function to a certain displacement.
Rotation is defined as a movement around its own axis. A circular movement is a rotation.
A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta\; \text{A''B''C''}}.[/tex]
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
Learn more:
If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard https://brainly.com/question/2479097.Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? https://brainly.com/question/1446243.Answer details:
Grade: High School
Subject: Mathematics
Chapter: Geometry
Keywords: sequence, similar, Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions.
5j+s=t-2 solve for t
The answer is
T= 5j+s+2
t=5j+s+2. Your answer should be: t=5j+s+2.
Let's solve for t.
5j+s=t−2
Step 1: Flip the equation.
t−2=5j+s
Step 2: Add 2 to both sides.
t−2+2=5j+s+2
t=5j+s+2
X - 4 = -4 - 4
2 - 3x = -x - 8
Please help me solve these
two cousin one is five years older. the sum of there age is 37. how old are they
Subtract the difference from the total, then divide by 2, that would be the age of the youngest, then add the difference to that for the age of the oldest.
37 - 5 = 32
32 / 2 = 16
The youngest is 16.
16 + 5 = 21
The oldest is 21.
The ages are 16 and 21.
The larger of two numbers is seven less than three times the smaller number if the sum of number is 61 find
numbers
Well, there really isn't an equation for this. Just plug in numbers and see if the numbers have to be bigger or smaller than the one you guessed. In this case, after plugging in a couple of numbers, I plugged in 17 for the smaller number. Then to find the bigger number, I multiplied 17 by 3, which is 51, then subtracted 7 from 51, which is 44. Since 44+17=61, the numbers are 44 and 17.
200 = 16(6t - 13)
t = ?
Help!
Step 1. Divide both side by 16
100/16 = 6t - 13
Step 2. Dimplify 200/16 to 25/2
25/2 = 6t - 13
Step 3. Add 13 to both sides
25/2 + 13 = 6t
Step 4. Simplify 25/2 + 13 to 51/2
51/2 = 6t
Step 5. Divide both sides by 6
51/2/6 = t
Step 6. Simplify 51/2/6 to 51/2 * 6
51/2 * 6 = t
Step 7. Simplify 2 * 6 to 12
51/12 = t
Step 8. Simplify 51/12 to 17/4
17/4 = t
Step 9. Switch sides
t = 17/4