5(2x +8) = -8x + 4
Use distributive property:
10x +40 = -8x + 4
Subtract 40 from each side:
10x = -8x -36
Add 8x to each side:
18x = -36
Divide both sides by 18:
x = -36 / 18
x = -2
The number is -2
I am confused on #7, can any smart people out there that understand math help me?
If the graph of y = |x| is translated so that too. (1, 1) is moved to (4, 1) what is the equation of the new graph
Answer: y = |x-3|
The point (1,1) has been moved 3 spots to the right to get to (4,1). The entire equation of the V shaped curve will also move 3 spots to the right. So that's how we go from |x| to |x-3|. Note how plugging in x = 4 leads to y = |x-3| = |4-3| = |1| = 1
whats 24 ÷ 3 ×5÷4×7[7÷6]
(24/3(5)/4(7))(7/6)
=245/3 (Decimal: 81.666667)
245/3
decimal 81.666667
What is the opposite of 4
The opposite of 4 is -4 for additivity and 1/4 for multiplicity.
In mathematical language, opposite of a number means inverse of a number and 2 inverses of the number are possible. One is additive inverse, while the other is multiplicative inverse.
To calculate an additive inverse of 4:
Let x be an additive inverse of 4, then
4+x=0
On transposing,
x=-4
Let y be multiplicative inverse of 4, then
4 x y=1
On transposing,
y=1/4
Thus, additive opposite of 4 is -4 and multiplicative opposite of 4 is 1/4.
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what do the rates of change in the example represent?
What is the range of f(x)=3x+9
Answer:
The range is all real numbers or (-∞, ∞)
Step-by-step explanation:
You can plug in any real value of x into this function to output another real value.
Answer:
The answer is: {y|y>9}
5 × ⅔???????????????
5 x 2/3 = 5.333 repeatedly
If the selling price is $18 and the markup is 33% what is the dollar markup
There are two good ways to go about this,
You can either do
Regular Price + .33 * Regular Price
or
Regular Price * 1.33
So, i'll do the latter.
18 * 1.33 = 23.94
So, the markup price is $23.94
Answer:
$23.94
Step-by-step explanation:
386 students went on a field trip 8 buses were filled in 10 students traveled in cars how many students were in each bus
There were 47 students on each bus.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that 386 students went on a field trip, eight buses were filled in 10 students traveled in cars.
Therefore,
386 total students - 10 riding in cars
386-10= 376 students riding in buses
Now,
376 students riding in buses dividied by 8 buses
376/8 = 47 students on each bus
Hence, there were 47 students on each bus.
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How many times greater is 8.5×108 than 3.4×105 ?
Answer:
2.5*10^3 times greater, or 2500 times greater.
Step-by-step explanation:
Dividing 8.5*10^8 by 3.4*10^5 will yield the desired answer (which is a ratio). Note: 108 and 105 MUST be written with the symbol " ^ " to denote exponentiation.
8.5*10^8
--------------- = (8.5 / 3.4)*10^(8-5) = 2.5*10^3
3.4*10^5
4.9 convert it fraction
4.9 convert it fraction = 49/10
Don’t get #11and12 please help me
Remember that dividing by a number is the same as multiplying by its reciprocal. To get a number's reciprocal, flip the numerator and denominator around.
In this case, 3/5's reciprocal is 5/3. With this information in mind, flip 3/5 to it's reciprocal, change the division sign to multiplication, then multiply as such:
[tex]\frac{7}{8} \times \frac{5}{3}=\frac{35}{24}[/tex]
Your final answer is 35/24.
12.Now firstly, we want to convert these mixed fractions into improper fractions. To convert them, multiply the whole number by the denominator then add the numerator and that's your new numerator. In this case:
[tex]2\frac{1}{10}=\frac{2*10+1}{10}=\frac{21}{10}\\\\1\frac{1}{5}=\frac{1*5+1}{5}=\frac{6}{5}\\\\\frac{21}{10}\div \frac{6}{5}[/tex]
Next, we want to convert this expression to multiplication. Similar to before, convert 6/5 to its reciprocal, change the multiplication sign to division, and multiply as such:
[tex]\frac{21}{10}\times \frac{5}{6}=\frac{105}{60}[/tex]
Now you may think that 105/60 is the right answer, however we can simplify it further. The numerator and the denominator have a GCF, or greatest common factor, of 15. With this, divide the fraction by 15/15 as such:
[tex]\frac{105}{60}\div \frac{15}{15}=\frac{7}{4}[/tex]
Your final answer is 7/4.
Whats the answer? and how do you set the problem up
-1 = 3r + 2r
-1 = 5r Combine like terms
[tex]\frac{-1}{5}[/tex] = [tex]\frac{5r}{5}[/tex] Divide both sides.
Final answer: -0.2 = r
hope that helps :)
Select from the drop-down menus to correctly complete the proof.
To prove that 3√5 is irrational, assume the product is rational and set it equal to a/b, where b is not equal to 0. Isolating the radical gives √5= a/3b (All one fraction). The right side of the equation is [Rational or Irational]. Because the left side of the equation is [Rational or Irational], this is a contradiction. Therefore, the assumption is wrong, and the number is [Rational or Irational].
Answer:
Rational; irrational; irrational.
Step-by-step explanation:
a/3b is a rational number, as it is represented by a fraction and b ≠ 0. This means the first blank is "rational."
√5 is an irrational number. This means the second blank is "irrational."
Since we have an irrational number set equal to a rational number, this is a contradiction. This means our original assumption is wrong, and the number is irrational. This is the third blank.
There are Rational, irrational, and irrational are the correct options respectively.
What is a rational number?A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
It can be a/b of two integers, a numerator a, and a non-zero denominator b.
Given Number = 3√5
We have to prove that 3√5 is an irrational number.
Let us assume 3√5 is a rational number.
Because it is represented as a fraction and b ≠ 0, a/3b is a rational number. This implies that the first blank is "reasonable."
The number √5 is irrational. This indicates that the second blank is "irrational."
This is a contradiction since we have an irrational number set equal to a rational number. This signifies that our initial assumption was incorrect, and the number is irrational.
Therefore, the assumption is wrong, and the product is irrational.
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the sum of two consecutive odd integers is 284 . write a equation and solve to find the two integers
Let the consecutive odd numbers be( x) and (x+2).
According to given condition.
(x)+(x+2) =284
solving x+x+2 =284
2x+ 2 =284
subtracting 2 both sides
2x+ 2-2 =284-2
2x =282
dividing 2 both sides
x=141
as the second integer is (x+2) so
x+2 =141+2= 143
so integers are 141 and 143.
#9 HEY YOU! HELP! Translate to an equation, then solve. The product of 2, and a number increased by 6, is -24. What is the number?
If |n| is a positive number, then n is a negative number. Which of the following would be a counterexample?
A. –10
B. –4
C. –1
D. 10
A counterexample for the following would be D, because it is the only positive number, which is opposite of a negative number.
The counter-example is 10. the correct option is D.
What is an absolute value?Absolute value refers to the removal of any preceding minus sign and the treatment of all numbers as positive (or zero).
Given that If |n| is a positive number, then n is a negative number.
Take all the negative values of n for the function.
|n| = |-10| = 10
|n| = |-4| = 4
|n| = |-1| = 1
|n| = |10| = 10
In the above values, the counter-example is 10 because the value is positive. After putting value in the absolute function the value will remain the same.
Therefore, the counter-example is 10. the correct option is D.
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can some one help me with one of these 5 problems plzz
I can help with CL 2-107. All you have to do is simplify the equation on both sides, and then isolate w to find its value.
6w - 5 + 8w - 2w - 3 = 9w - 24
(-5) + 12w - 3 = 9w - 24
-8 + 12w = 9w - 24
-8 + 3w = -24
3w = -16
w = [tex]\frac{-16}{3}[/tex]
w = -5.33
Hope that helps! Sorry I couldn't help with the other ones!
Look at the pictures.
CL 2-109
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have
[tex](-5,\ 7)\to x_1=-5,\ y_1=7\\(10,\ 1)\to x_2=10,\ y_2=1[/tex]
Substitute:
[tex]m=\dfrac{1-7}{10-(-5)}=\dfrac{-6}{10+5}=\dfrac{-6}{15}=-\dfrac{2}{5}[/tex]
Ryan runs 100 m two times. His times were 14.19 s and 13.78 s.
Daniel runs 100 m two times. His times were 15.77 s and 16.24 s.
How much greater was Daniel's total time than Ryan's total time?
Enter your answer in the box.
Answer is 4.04 by adding both of the time of each then subtracting then from each others time
Answer:
4.04
Step-by-step explanation:
take the number 14.19 and add that to 13.78, you get 27.97.
Now take 15.77 and add that to 16.24, you get 32.01.
Now take 32.01 and 27.97 and subtract them.
You get 4.04.
And thats your answer
GUYS!!!!!!!! HELP I I'M GOING INSANE IF I DON'T FIGURE IT OUT
Answer:
[tex] {2}^{0} = 1[/tex]
[tex] {2}^{1} = 2[/tex]
[tex] {2}^{5} = 32[/tex]
[tex] {2}^{6} = 64[/tex]
A migrating bird flies 280 miles in 14 hours.how many miles does it fly in 5 hours?
280mi: 14h Divide to get it over one
20mi : 1 h multiply by five
100mi:5h
Hope it helps!!
Choose a method then find the product 16 times 60
Using the multiplication method, we find that 16 times 60 equals 960.
To find the product of 16 times 60, we can use the method of multiplication. The multiplication method is a straightforward way to find the product of two numbers by multiplying each digit separately and adding the results.
1. Write down the two numbers being multiplied: 16 and 60.
2. Start by multiplying the rightmost digit of the bottom number (60) with the top number (16). In this case, multiply 0 with 16, which equals 0.
3. Write down the result (0) below the line.
4. Now, multiply the next digit of the bottom number (6) with the top number (16). Multiply 6 with 16, which equals 96.
5. Write down the result (96) below the line, shifted one position to the left.
6. Finally, add the two results together: 0 + 96 = 96.
So, the product of 16 times 60 is 960.
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What is the slope of (-1,-11) and (-6,-7)?
The slope is the change in Y over the change in X
Label each point (x1,y1) and (x2,y2)
Slope = y2 - y1 / x2-x1
Slope = -7 - (-11) / -6 - (-1)
Slope = -7 +11 / -6 +1
Slope = 4 / -5
Move the negative sign in front:
Slope = -4/5
Can someone help me solve this problems
x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x = [tex]\frac{176}{44}[/tex] = 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x = [tex]\frac{-18}{2}[/tex] = - 9
how to factor 125x^3 - 64
Answer:
Step-by-step explanation:
Factor 125[tex]x^{3}[/tex]-64
STEP 1: Equation at the end of step 15³ₓ³ - 64
STEP 2:Trying to factor as a Difference of Cubes:2.1 Factoring: 125[tex]x^{3}[/tex]-64
Theory : A difference of two perfect cubes [tex]a^3 - b^3[/tex] ,can be factored into
(a-b) • (a² +ab +b²)
Proof : (a-b)•(a²+ab+b²) =
[tex]a^3+a^2b+ab^2-ba^2-b^2a-b^3 =[/tex]
[tex]a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =[/tex]
[tex]a^3+0+0-b^3 =[/tex]
[tex]a^3-b^3[/tex]
Check : 125 is the cube of 5
Check : 64 is the cube of 4
Check : x³ is the cube of x¹
Factorization is :
(5[tex]x[/tex] - 4) • (25[tex]x^{2}[/tex] + 20[tex]x[/tex] + 16)
Trying to factor by splitting the middle term2.2 Factoring 25[tex]x^{2}[/tex] + 20[tex]x[/tex] + 16
The first term is, 25[tex]x^{2}[/tex] its coefficient is 25 .
The middle term is, +20[tex]x[/tex] its coefficient is 20 .
The last term, "the constant", is +16
Step-1 :
Multiply the coefficient of the first term by the constant 25 • 16 = 400
Step-2 :
Find two factors of 400 whose sum equals the coefficient of the middle term, which is 20 .
-400 + -1 = -401
-200 + -2 = -202
-100 + -4 = -104
-80 + -5 = -85
-50 + -8 = -58
-40 + -10 = -50
For tidiness, printing of 24 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :[tex](5x - 4) • (25x^2 + 20x + 16)[/tex]
What’s the product of -1/8x5x2/3
a car can travel 300 miles using 15 gallons of gas. what is the unit rate?
If you are a lawyer then you passed the bar exam
conditional (original): if you are a lawyer, then you passed the bar exam
converse: if you passed the bar exam, then you are a lawyer
inverse: if you are not a lawyer, then you did not pass the bar exam
contrapositive: if you did not pass the bar exam, then you are not a lawyer
The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)? a. g(x) = (x + 9)2 + 4 b.g(x) = (x + 9)2 − 4 c.g(x) = (x − 4)2 + 9 d.g(x) = (x + 4)2 + 9
It'd be c) g(x)=(x-4)2+9
Answer : C
The function [tex]f(x)= x^2[/tex] has been translated 9 units up and 4 units to the right to form the function g(x)
For 9 units up, we add 9 at the end of f(x)
f(x) + 9
so equation becomes [tex]f(x)= x^2 + 9[/tex]
For 4 units right , we subtract 4 from x in f(x)
f(x-4)
So the equation becomes [tex]f(x) = (x-4)^2 + 9[/tex]
Hence [tex]g(x) = (x-4)^2 + 9[/tex]
|x|+5=18? Solve and Show your Work?
Answer:
X = 13 or X = -13
Step-by-step explanation:
Step 1: Add -5 to both sides.
|x| + 5 + − 5 = 18 + − 5
|x| = 13
Step 2: Solve Absolute Value.
|x| = 13
We know either x = 13 or x = -13
Hope this helps :-)
Answer:⇒⇒⇒⇒⇒⇒⇒[tex]x=-13[/tex] or [tex]x=13[/tex]
Step-by-step explanation:
Subtract by 5 from both sides of the equation.
[tex]|x|+5-5=18-5[/tex]
Simplify.
[tex]|x|=13[/tex]
[tex]x=-13 or x=13[/tex]
Hope this helps!
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-Charlie