Let's solve each equation for x
8x - 1 = 23
Add 1 to each side.
8x = 24
Divide both sides by 8
x = 3
Luckily, we already found the equation which has the solution of x = 3
The answer is: 8x - 1 = 23
What is the value of the function, f(x)=x^2-5x when x=-5 ?
Answer:
f(-5) = 50
Step-by-step explanation:
Simply plug in -5 for x into the function:
f(-5) = (-5)² - 5(-5)
f(-5) = 25 + 25
f(-5) = 50
Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each. Jane is 13 and Harvey is 39 Jane is 12 and Harvey is 48 Jane is 13 and Harvey is 48
Answer:
13, 39
Step-by-step explanation:
H +J =52
H=3J
3J +J=52
4J=52
J=52 :4 =13 (Jane is 13
H =3 ×13 =39 (Harvey is 36
Someone please help me with this and explain it please.
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Explanation:
Use a calculator to find the decimal form of each of the following below (values are approximate; rounded to 2 decimal places)
2pi = 6.28sqrt(42) = 6.48sqrt(34) = 5.83We see that the order of the decimal values is: 5.83, 6, 6.28, 6.48
So the order of the terms, from smallest to largest, is [tex]\sqrt{34}, 6, 2\pi, \sqrt{42}[/tex]
In the figure at right, line l is a line of symmetry, m∠B=8x-4°, and m∠D=2x+14°. Use this information to write an equation and solve for x. Hint: Set ∠B = ∠D
Answer:x=3
Given: angle B = angle D
So, 8x-4=2x+14
8x-2x=14+4
6x=18
Therefore, x=3
Erica runs 5.3 kilometers every morning. One day, she runs 0.95 kilometers and then stops to take a break. How much further does Erica have left to run?
Answer:
1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)
Step-by-step explanation:
Find the distance between the points (6,1)and (9,6).The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
d = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(9-6)^2+(6-1)^2}\\d= \sqrt{(3)^2+(5)^2}\\d= \sqrt{9+25}\\d= \sqrt{34}[/tex]
2k-3(2k-3)=45
step by step please?
Answer:
k=-9
Step-by-step explanation:
[tex]2k-3(2k-3)=45\\\\2k-3(2k)-3(-3)=45\\\\2k-6k+9=45\\\\(2k-6k)+9=45\\\\(2-6)k+9=45\\\\-4k+9=45\\\\-4k+9-9=45-9\\\\-4k+0=36\\\\-4k=36\\\\\frac{-1}{4}(-4k) =\frac{-1}{4}(36) \\\\k=\frac{-36}{4} \\\\k=\frac{4*9}{4} \\\\k=\frac{9}{1} \\\\k=-9[/tex]
HELP ME PLSEASE I NEED THIS <33
Since the measure of angle DOC = 44 degrees and it's the central angle of arc DC, the measure of arc DC = 44 degrees
Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol?
Answer:
Yes
Step-by-step explanation:
I had this same question on a quiz and it is correct!
The square root of a number is equal to another number that when squared is equal to the original number.
Now we want to see if Is it true that square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol, and we will see that yes, this is true.
To see that this is true:
For example, if the A and B are two numbers larger than 0, such that:
A > B
Then:
√A > √B
For example let's use A = 9 and B = 4.
9 > 4
And obviously the roots are:
√9 > √4
3 > 2
So yes, we can compare and order square roots by comparing the numbers inside of it.
If you want to learn more, you can read:
https://brainly.com/question/1387049
HELPP. In words, write the meaning of: √a+3
Answer:
square root of a plus 3
Step-by-step explanation:
can someone please solve the question above.
Answer:
y = -7x + 11
Explanation:
Just get y by itself. Subtract 7x from both sides. Substitute in each x value individually to get the next answers, which will be 25, 11, and -10.
What is 17 1/3 x 8 and how much water will each group get
Answer:
The Answer to 17 1/3 x 8 is 138.67
There is not enough context to answer the second question.
There are two options for buying crickets option A.7 pounds of crickets for 3.15 option B.3 pounds of crickets for 1.47 which option is better to buy justify your answer
Answer: 7
pounds for 3.15 is a better option
Step-by-step explanation:
Here in this question, we want to know which of the two options is a better option for buying crickets.
To know the better option, we shall be needing the unit price in whatever system to be used;
7 pounds of crickets for 3.15;
so the unit price here will be 3.15/7 = 0.45 per pound
For the second system, we have 3 pounds for 1.47 so the unit price will be 1.47/3 = 0.49 per pound
As we can see, the first option commands a cheaper price per unit, so it is the better option to buy
New York City has a population of 8.55 million and 300 square mile. Manhattan has 1.64 million and 23 square miles. How much greater is the population of Manhattan than New York City?
Given :
New York City has a population of 8.55 million and 300 square mile area .
Manhattan has 1.64 million and 23 square miles area .
To Find :
How much greater is the population density of Manhattan than New York City.
Solution :
Population density of New York City :
[tex]D_{NY}=\dfrac{8.55}{300}=0.029 \ million/mile^2\\\\D_{M}=\dfrac{1.64}{23}=0.071 \ million/mile^2[/tex]
Now ,
[tex]D_{M}-D_{NY}\\\\(0.071-0.029)=0.042\ million/miles^2[/tex]
Therefore , population density of Manhattan is [tex]0.042\ million/miles^2[/tex] greater than New York City .
Hence , this is the required solution .
Subtract: 3 x 106 – 7.197 x 105 = WWW
Answer:
w= 7.59
Step-by-step explanation:
please help asap
What is the factored form of this expression? 5p^3-10p^2+3p-6
Answer:
[tex](5p^2+3)(p-2)[/tex]
Step-by-step explanation:
In this problem, we need to write the factor form of expression [tex]5p^3-10p^2+3p-6[/tex].
It can be done as follows :
[tex]5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)[/tex]
Taking common form the terms as follows :
[tex]=p(5p^2+3)-2(5p^2+3)[/tex]
It can be also written as :
[tex]=(5p^2+3)(p-2)[/tex]
Hence, the factored form of [tex]5p^3-10p^2+3p-6[/tex] is [tex](5p^2+3)(p-2)[/tex]
Answer: (p-2)(5p^2+3)
Step-by-step explanation:
I GOT THIS RIGHT!
Together Fred and Wilma have saved $345 Wilma has have twice as much money as Fred how much money do they each have define your variables and set up a system of equations with two equations
Answer:
Fred has saved $115 while Wilma had saved $230
Step-by-step explanation:
Let the amount saved by Fred be F while the amount saved by Wilma be W
Together, they have saved $345
Mathematically;
F + W = 345 •••••••(i)
We are also told that Wilma has have twice as much money as Fred;
Hence; W = 2F ••••••••(ii)
To get the amount of money they both have, we need to solve the equations simultaneously
Substitute ii into i
F + 2F = 345
3F = 345
F = 345/3
F = 115
But W = 2F
W = 2 * 115
W = 230
Mark wants to put a fence around his square yard.He knows that his yard is shaped like a square and the area of the yard is 110. What would the perimeter be
Answer:
27.5 is the answer good luck
Step-by-step explanation:
good luck my G
i need help with this answer
Answer:
Im not sure but lets play warzone
Step-by-step explanation:
Can someone please solve this 4x+4(x-6)=3(2x+4)
Answer:
x = 18
Step-by-step explanation:
4x+4(x-6)=3(2x+4)
distribute
4x+4x-24=6x+12
combine like terms
8x-24=6x+12
carry across equal sign
2x-24=12
carry across equal sign
2x=36
divide
x=18
Answer:
X = 18
Step-by-step explanation:
4x + 4(x -6) = 3(2x + 4)
4x + 4x -24 = 6x + 12
8x -24 = 6x + 12
+24 +24
8x = 6x + 36
-6x -6x
2x = 36
Divide 2x and 36 by 2
X = 18
HELP ME PLZ!!!! I'LL DO ABSOLUTELY ANYTHING, AND I MEAN ANYTHING!!!!!!
Order the values from
least to greatest:
1-1, 1-2, -3,-4
A new computer game costs $32.50. Find the cost with tax if the tax is
7%. Round to the nearest cent. *
*
Answer:
$34.78
Step-by-step explanation:
...............
W contains the best franchises of 2015 according to Entrepreneur. If W= {Hampton Hotels, Anytime Fitness, Subway, Jack in the Box, Supercuts, Jimmy Johns, Servpro, Denny's, Pizza Hut, 7-Eleven}, how many proper subsets does W contain?
Answer:
Proper Subsets = 1023
Step-by-step explanation:
Given[tex]W= \{Hampton\ Hotels, Anytime\ Fitness, Subway, Jack\ in\ the\ Box, Supercuts, \\Jimmy\ Johns, Servpro, Denny's, Pizza\ Hut, 7-Eleven\}[/tex]
Required
Determine the proper subsets
Proper Subset (P) is calculated using;
[tex]P = 2^n - 1[/tex]
Where
[tex]n = number\ of\ elements[/tex]
In this case;
[tex]n = 10[/tex]
So:
[tex]P = 2^n - 1[/tex]
[tex]P = 2^{10} - 1[/tex]
[tex]P = 1024 - 1[/tex]
[tex]P = 1023[/tex]
Hence;
Proper Subsets = 1023
Answer:
1024
Step-by-step explanation:
What is the slope of the line that passes through the points:
(6,-4), (15,-4)
-8/21
0
-8/9
Undefined
Answer:
0
Step-by-step explanation:
m=[-4-(-4)]÷[15-6]=0
vertical translation
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answer: vertical translation
Step-by-step explanation:
A function is even if:
f(x) = f(-x)
and a function is odd if:
f(-x) = -f(x).
Now, we want to find a translation that only affects the symmetry of an odd function (but not that one of the even function).
The correct answer will be a vertical translation, now let's prove it.
when we have a function f(x) and we want to transform it into g(x), such that g(x) is a vertical translation of (for example) A units up, we can write the relation as:
g(x) = f(x) + A.
Now, let's see if this preserves the symmetry of the original function.
1) if f(x) is even, then:
g(x) = f(x) + A
g(-x) = f(-x) + A
But we know that f(-x) = f(x)
then:
g(-x) = f(-x) + A = f(x) + A = g(x)
this means that g(x) is even, the symmetry of an even function is not affected by this transformation.
Now suppose that f(x) is odd.
Then:
g(x) = f(x) + A
g(-x) = f(-x) + A
and f(-x) = -f(x)
then:
g(-x) = f(-x) + A = -f(x) + A
and this is clearly different than g(x) = f(x) + A.
Then the odd symmetry is broken.
1 point
If an original amount was 12 and the new amount is 18, would you describe
this as an increase or decrease? *
Answer: Increase
Step-by-step explanation: 18 is greater than 12
Calculate the speed of a train traveled 400miles in 5 hours
Answer:
80 miles per an hour
Step-by-step explanation:
400 divided by 5 equals= 80 so 80miles = 1 hour
Answer:
80 miles per hour.
Step-by-step explanation:
Start with the speed formula.
[tex]speed=\frac{distance}{time}[/tex]
In this scenario, the distance is [tex]400[/tex] miles, and the time is [tex]5[/tex] hours.
Substitute:
[tex]speed=\frac{400}{5}[/tex]
Divide.
[tex]400[/tex] ÷ [tex]5[/tex]
Solve:
[tex]400[/tex] ÷ [tex]5=80[/tex]
Solve for x: 2x−7=5x+8
Which of the following numbers would appear first if we were listing the numbers in descending order?