Final answer:
We proved x = 17 given the equations 4y = 2x - 10 and y = 6 through a series of substitution and simplification steps in a two-column proof.
Explanation:
Given the equation 4y = 2x - 10 and the fact that y = 6, we need to prove that x = 17. The process of proving this assertion can be methodically shown through a two-column proof, which lists both the statements and the reasons behind each step.
y = 6 (Given)4y = 2x - 10 (Given)4(6) = 2x - 10 (Substitution of y with 6)24 = 2x - 10 (Simplifying the multiplication)24 + 10 = 2x (Adding 10 to both sides)34 = 2x (Simplifying by combining like terms)17 = x (Dividing both sides by 2 to solve for x)Through these steps, we have shown that, given 4y equals 2x minus 10 and y is 6, we can prove that x equals 17.
3.44444444444 in simplest form
What is the volume of a cube if it is 25cm long 6cm wide and 4cm high
the answer is a, 600
Which number line represents all of the values of x for the equation x2 = 16?
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4 and is labeled as p.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8 and is labeled as p.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4, another dot is shown on negative 4, and are labeled as p and q, respectively.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 8, another dot is shown on negative 8, and are labeled as p and q, respectively.
i think it is the third one
hope it helps
Answer:
The given equation is
→x²=16
→x²-16=0
→(x-4)(x+4)=0
x=4, -4
p=4
q=-4
Option C
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on the number line, and all these are increments are labeled. A dot is shown on positive 4, another dot is shown on negative 4, and are labeled as p and q, respectively.
What’s is the standard form of the equation of the given circle with center A(4,8)
The X. axis is you final answer!
1. -7/9 • 3/5
A. 18/35
B. 7/15
C. -18/35
D. -7/15
2. 1/3 divided by 5/6
A. 2/5
B. 5/2
C. 2/15
D. 5/18
3. 2 and 1/8 divided by 34
A. 51/32
B. 1/16
C. 2 and 1/3
D. 2 and 5/6
4. -4/5 divided by 8/9
A. -9/10
B. 1/20
C. 9/10
D. -1/20
5. 3/5 Divided by 9/10 A. 2/3
B. 2/5
C. 3/10
D.27/50
6. 4/7 divided by 9/14
A. 3/7
B. 2/3
C. 6/7
D. 8/9
For the polynomial function ƒ(x) = x4 −25x2, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept.
ANSWER
The zeros are [tex]x=-5,x=0,x=5[/tex]
EXPLANATION
Given;
[tex]f(x)=x^4-25x^2[/tex].
We can rewrite the function as
[tex]f(x)=x^2(x^2-25)[/tex]
[tex]\Rightarrow f(x)=x^2(x^2-5^2)[/tex]
[tex]\Rightarrow f(x)=x^2(x-5)(x+5)[/tex]
The zeros are found by equating the function to zero.
[tex]\Rightarrow x^2(x-5)(x+5)=0[/tex]
[tex]\Rightarrow (x-5)=0[/tex]
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is [tex]x=5[/tex]
Or
[tex]\Rightarrow (x+5)=0[/tex]
The multiplicity is 1, since it is odd the graph crosses at this intercept. which is [tex]x=-5[/tex]
Or
[tex]\Rightarrow x^2=0[/tex]
This last root has a multiplicity of 2.
That is
[tex]x=0[/tex] repeats two times.
Since the multiplicity is even, the graph touches the x-axis at the point [tex]x=0[/tex].
See graph.
The zeros of the function ƒ(x) = x4 -25x2 are -5, 0, and 5. Each of these zeros has a multiplicity of 1. The graph crosses the x-axis at each of these zeros, indicating odd multiplicities.
Explanation:The polynomial function given is ƒ(x) = x4 -25x2. In order to find the zeros, you set the function equal to zero and solve for x: 0 = x4 -25x2. This can be rewritten as x2(x2 - 25) = 0. From this, it's clear that x = 0 is a zero of the function. The other zeros can be found by setting x2 - 25 = 0, resulting in x2 = 25, and therefore, x = ±5. So, the zeros are -5, 0, and 5. Each of these zeros has a multiplicity of 1, because the factorization of f(x) doesn't include any squared terms. The graph crosses the x-axis at each of these points, which is characteristic of odd multiplicities.
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What is 7 * 3? this is very important so plz help
The answer to your question is 21.
7 * 3 = 21
7 x 3 = 21
(you can learn your multiplications, or get a calculator)
hope that helps anyway :)
AHHHHHH NEED HALP C AND B
Answer: science
Step-by-step explanation:
if m<mkl=83. m<jkl=127. and m<jkm=(9x-10). find the value of x
Final answer:
To find the value of x, we can use the given equations and the Angle Sum Property of a Triangle. By substituting the known values into the equation (9x-10), we can solve for x.
Explanation:
To find the value of x, we can use the facts given in the question. We know that m<mkl = 83 and m<jkl = 127. We also know that m<jkm = (9x-10). From these facts, we can form two equations:
1. m<mkl = 83
2. m<jkl = 127
Using these equations, we can determine the value of x.
Let's solve the first equation:
1. m<mkl = 83
Since m<mkl = 83 and m<jkl = 127, we can substitute these values into equation (9x-10) according to the Angle Sum Property of a Triangle:
2. 83 + 127 + (9x-10) = 180
Simplifying the equation, we get:
3. 210 + 9x - 10 = 180
Combining like terms, we have:
4. 9x + 200 = 180
Subtracting 200 from both sides, we get:
5. 9x = -20
Dividing both sides by 9, we find:
6. x = -20/9
Therefore, the value of x is -20/9.
What is the square root of this problem?—-
The answer to this question is 0.9
ExplanationWe know that
sequre of 9 is equal to 81 as [tex]9^2 = 81[/tex]
Then sequre of 0.9 will be
[tex]0.9^2 = 0.81[/tex]
So,
b = [tex]\sqrt{ 0.81}[/tex]
b = [tex]\sqrt{ 0.9^2}[/tex]
Exponent and square root cancel out each other
So, the answer is 0.9.
"For each power, write an equivalent multiplication expression with two factors"
can anybody help?
10⁴ = 10²⁺² = 10² × 10² 8² = 8¹⁺¹ = 8¹ × 8¹
Converting a power into an equivalent multiplication expression involves rewriting the power's base and exponent using multiplication. The exponent signifies how many times to multiply the base by itself.
Explanation:Converting a power into an equivalent multiplication expression with two factors involves rewriting the power's base and exponent. Consider, for example, a power like 6^3. This expression can be rewritten as multiplication with two factors in different ways, such as 6 x 6 x 6 or 36 x 6. The exponent value tells us how many times to multiply the base by itself. Remember that this is true for all types of powers, including whole numbers, negative numbers, and fractions, which means your multiplication expression factors may differ.
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Will mark brainliest if you could explain this to me??
Your answer would be 4379 members because at the very beginning you had started off with 4372 members, however as the months go by changes happen. On october, it changed by -10, meaning that 10 students left the school meaning 4372-10=4362 members remaining. Then there's november with -8, so you subtract 8 from your new total 4362-8=4354. Then december comes, and this time it's a positive number, so you have to add 23 to 4354, giving you a new total of 4377. Then there's january, and its back to a negative number so you subtract 12 from 4377, 4377-12=4365. Then february comes and it's a change of a positive number, so you add 3 to the 4365, giving you 4368. And then finally by march, it's another positive number so you add 11 to your total, giving you 4379 students which are now at school. So basically if it's a negative change, subtract from the total, and if it is a positive, add to it. And you have to continue with the total that you got from the previous change that you did. Hope this was helpful
basically you start with 4372 the table shows what happens during the school so after September you go to October which is -10 so you end up with 4362 then, November which is -8 so you get 4354 then in December you have +23 which makes 4377 then in January you have -12 which makes 4365 then in Feburary you have +3 which makes 4368 then in march you have +11 so 4379 so
1rst one
-hope this helps
23 - 4 - 6 + 7 + 5 - 1 x 0 + 1 = x
Solve the equation.
The sum of a number and two thirds the number is the same as four less than twice the number what is the number
x + (2/3)x = 2x-4
(2/3)x = x-4
2x = 3x-12
0= x-12
12 = x
Solve 8.246- 5 hundredths
To solve the expression 8.246 minus 5 hundredths, we subtract 0.05 from 8.246, aligning the decimal places, which gives us the final answer of 8.196, accurately rounded to the thousandths place.
To solve 8.246 - 5 hundredths, we need to understand what five hundredths mean. Five hundredths is the same as 0.05. So, the problem now looks like 8.246 - 0.05.
When we subtract these two values, we need to line up the decimal places properly:
8.246Subtracting, we get:
8.246It's important to note that when subtracting values, you must consider the position of the farthest right significant figure. In this case, the least precise number (original number) had its farthest right significant figure in the thousandths place, so our final answer is also rounded to the thousandths place.
solve y=x^2+23 for x
For this case we must clear x from the given equation:
[tex]y = x ^ 2 + 23[/tex]
We passed 23 subtracting the other side of equality:
[tex]y-23 = x ^ 2[/tex]
By definition, [tex]a ^ 2 = b[/tex]is written as [tex]a = +/-\sqrt{b}[/tex]
So, we have:
[tex]x = + / -\sqrt{(y-23)[/tex]
So, the solution of [tex]y = x ^ 2 + 23[/tex] for x is:
[tex]x = + / -\sqrt{(y-23)[/tex]
Answer:
[tex]x = + / -\sqrt{(y-23)[/tex]
[tex]x1=+\sqrt{(y-23)[/tex]
[tex]x2=-\sqrt{(y-23)[/tex]
Answer:
x = +/- (square root) y-23
Step-by-step explanation:
A P E X
Help ASAP please!!!
First answer and correct answer gets the brain...
3/4x + 3 = 5/6
(3/4 * 12)x + 3 = (5/6 * 12)
9x + 3 = 10
You have to find the lowest common denominator (LCD) by finding the number that you can multiply into every fraction to turn them into a whole number.
Sushirama sells rolls for 12$ each. For 20$ per month, you can purchase a discount card which makes the rolls 9$ each. Which inequality below couod be used to find how many rolls of sushi(r) you would need to eat in month to make the discount card a good deal? (A) 12r > 20 + 9r (B) 12r > 20r + 9 (C) 12r < 20 + 9r (D) 12r < 20r + 9
2.93 is greater than or less than 0.293
You invest $2000 in an account at 4.5% per year simple interest. How much will you have in the account at the beginning of the 8th year? Round your answer to the nearest whole dollar. A. $2560 B. $2640 C. $2720 D. $2630
Problem
You deposit $2000 into a bank account paying 4.5% simple interest per year. You left the money in for 8 years. How much interest do you get at the end of those 8 years?
Result
The interest is $720.
Then you add the money you invested to your interest so your answer would be ' C ',
I think I'm not that great with math but I really hope I helped you .
Answer:
D. $2630
Step-by-step explanation:
Given,
The principal amount, P = $ 2000,
Annual rate of interest, r = 4.5 % ,
Thus, the interest for 7 years,
[tex]I=\frac{P\times r\times 7}{100}[/tex]
[tex]=\frac{2000\times 4.5\times 7}{100}[/tex]
[tex]=\frac{63000}{100}[/tex]
[tex]=630[/tex]
Hence, the amount after 7 years or at the beginning of the 8th year is,
[tex]A=P+I=2000+630=\$ 2630[/tex]
Option 'D' is correct.
An ice hockey rink is a rectangle with a perimeter of 174 meters. The length is 9 meters more than twice the width. Find the length and width.
let L be the length
let W be the width
L = 9 + 2W
since the perimeter = 2L + 2W
Perimeter = 2 x (9 + 2W) + 2W
174 m = 18 + 4W + 2W
174 m = 18 + 6W
6W = 174 - 18
6W = 156
W = 156/6
W = 26
L = 9 + 2W
L = 9 + 2 x 26
L = 9 + 52
L = 61
Therefore, length = 61 m and width = 26 m.
Please help!! Thanks!
[tex]f(x)=2x^2+5\sqrt{x-2}\\\\f(3)\to\text{put the value of x = 3 to the equation of the function}\\\\f(3)=2(3^2)+5\sqrt{3-2}=2(9)+5\sqrt1=18+5(1)=18+5=23[/tex]
If f(x)=5x^2 and g(x)=x^2-4x-8, find (f-g)(x)
Important!!!
Answer:
Option B.
Step-by-step explanation:
(f-g)(x) = f(x)-g(x)
= (5x²-3) - (x²-4x-8)
=5x²-3 -x² +4x +8 ( - sign outside will multiply each sign inside)
=4x² +4x + 5
Which of the following statements is correct?
• 15 > 700
• 15 = 700
• 15 < 700
• 700 = 700
The last two ones
< Less than
> Greater than
= Equal to
The correct statements are '15 < 700' and '700 = 700'.
In mathematics, we use comparison operators to establish relationships between numbers.
By comparing the given numbers, we see that 15 is less than 700, which makes the correct statement: '15 < 700'. Additionally, the statement '700 = 700' is also correct, as these values are identical and other statements are incorrect.
Bea bakery bakes 215 cookies and 45 muffins every hour how May baked goods are baked in 4 hours.
t-shirts are on sale for $4 ofc the regular price. Jeb buys 5 t-shirts for a total of $45.05, including a 6% sales tax. Which equation can Jeb use to find the regular price, r, of 1 t-shirt?
a)0.06(5r-4)=45.05
b)5(r-4)=1.06×(45.05)
c)1.06×5(r-4)=45.05
d)5(r-4)+0.06r=45.05
Solve for x. −5x−4(x−6)=−3 Enter your answer in the box. x =
-5x -4(x-6) = -3
distribute
-5x -4x+24 = -3
combine like terms
-9x +24 = -3
subtract 24 from each side
-9x = -27
divide by -9
x = 3
Answer:
x=3
Step-by-step explanation:
−5x−4(x−6)=−3
To solve for x:
for this we have to make the equation in such a way that the variable x lies on the left side and constant terms on the right side.
First distribute -4 over x and -6
We get -4x+24.
Substitute in the equation.
-5x-4x+24 =-3
Subtract 24 from both the sides
-5x-4x = -3-24
Or =9x = -27
Divide by -9
X = 3
PLEASE ANSWER FAST WILL MAKE BRAINLIST...
1.David has a collection of computer games. Last year, he had 400 CDs in his collection and this year he has 125% as many CDs as he had last year. How many CDs does he have now?
Select one:
a. 400
b. 500
c. 425
d. 450
2.David has a collection of computer games. Last year, he had 400 CDs in his collection and this year he has 120% as many CDs as he had last year. What is the size of his CD collection this year?
Select one:
a. 480 CDs
b. 500 CDs
c. 400 CDs
d. 440 CDs
3.Eric used to practice football for 60 minutes every day. Now, he practices for 150% as many minutes as he used to. How many minutes does he currently practice every day?
Select one:
a. 110
b. 180
c. 90
d. 200
4.Eric used to practice football for 90 minutes every day. Now, he practices 200% as many minutes as he used to. How many minutes does he currently practice every day?
Select one:
a. 180
b. 90
c. 200
d. 100
Jane drives at a constant rate of 45 miles per hour for 4 hours. How far will she have traveled in that time?
Select one:
a. 110 miles
b. 220 miles
c. 180 miles
d. 160 miles
The first questions answer is 50.
The second questions answer is 480
The third is 90
The fourth answer is 180
Lastly the last answer is 180 again
Why is David playing games from a cd. Anyways, The answers to the second one is 480. I just so happen to be on the same question.
Rob is twice Joshua’s age.nick is 5years older than Joshua .the sum of all their ages is 45.how old is nick
after 3/4 of a minute a sloth has moved just 3/8 of a foot. what is the sliths speed in feet per minute?
This is a tricky question but my best guess is .5 or 1/2 a foot per minute. I divided 3-8 as a decimal and added one/4th part to it to be a full minute.