The coordinates of C’ is (-5,3), the correct option is A.
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Thus, if you're reflecting a point (x,y) along x axis, then its x
abscissa will stay same but y
ordinates will negate. Thus (x,y) turns to (x, -y)
Similarly, if you're reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)
Given;
On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).
Now,When a point is reflected across the y-axis, the rule is:
(x,y)→ (-x,y)
C (5.3)= C' (-5,3)
Therefore, the reflection on C will be C (5.3) C' (-5,3).
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300,000+900+4
write this number in standard form
Answer:
300,904
Step-by-step explanation:
Julia bought 12 bags of cucumber seeds. each bag contains 42 seeds. if she plant one half of the seeds how many seeds does she have left
Answer:
She will have 252 seeds left.
Step-by-step explanation:
12 x 42 = 504
504 ÷ 2 = 252
So, she will have planted 252 seeds and she will have 252 seeds left to plant.
Final answer:
Julia has 252 seeds left after planting half of the seeds.
Explanation:
To find out how many seeds Julia has left, we first need to determine the total number of seeds she has. Julia bought 12 bags of cucumber seeds, and each bag contains 42 seeds. So the total number of seeds she has is 12 bags × 42 seeds per bag = 504 seeds.
If Julia plants one-half of the seeds, she would be planting 504 seeds × 1/2 = 252 seeds.
To find out how many seeds she has left, we subtract the number of seeds she planted from the total number of seeds she initially had. 504 seeds - 252 seeds = 252 seeds left.
In may, Xia made 5 flower planters with f flowers in each planter. in June, she made 8 flower planters with f flowers in each planter. Write an expression in simplest form that gives the number of flowers Xia has in the planters.
13f is the expression in simplest form that gives the number of flowers Xia has in the planters
Solution:
Given that,
In may, Xia made 5 flower planters with f flowers in each planter
Therefore,
Number of flowers planted in May: [tex]5 \times f = 5f[/tex]
In June, she made 8 flower planters with f flowers in each planter
Therefore,
Number of flowers planted in June: [tex]8 \times f = 8f[/tex]
Write an expression in simplest form that gives the number of flowers Xia has in the planters
Total number of flowers planted = Number of flowers planted in May + Number of flowers planted in April
Total number of flowers planted = 5f + 8f = 13f
Thus, the expression is 13f
If 130 is invested in a savings account that earns 4% interest per year, which of the following is closest to the amount in the account at the end of 10 years
what is (4x + 3) + (-2x + 4)
Answer:
(4x + 3) + (-2x + 4) = 2x + 7
Step-by-step explanation:
(4x + 3) + (-2x + 4) = you then collect like terms
(4x + -2x) + (3 + 4)= like this, and you add what's inside perenthesis
= 2x + (3 + 4). step-by-step
= 2x + 7. then that is how you get =2x+7
Answer:
The answer to your equation would be 2x + 7.
Step-by-step explanation:
4x + 3 + -2x + 4
= (4x + -2x) + (3 + 4)
= 2x + (3 + 4)
= 2x + 7
Therefor, your answer would be 2x + 7.
1/3(z+4)-6=2/3(5-z)
Find the answer
Step-by-step explanation:
[tex] \frac{1}{3} (z + 4) - 6 = \frac{2}{3} (5 - z) \\ \\ \therefore \: \frac{ (z + 4) - 6 \times 3}{3} = \frac{2(5 - z) }{3} \\ \\ \therefore \: \frac{ z + 4 -18}{3} = \frac{10 - 2z }{3} \\ \\ \therefore \: \frac{ z - 14}{3} = \frac{10 - 2z}{3} \\ \\ \therefore \: z - 14 = 10 - 2z \\ \\ \therefore \: z + 2z = 10 + 14\\ \\ \therefore \: 3z =24 \\ \\ \therefore \: z = \frac{24}{3} \\ \\ \: \: \: \: \: \: \: \: \huge \orange{ \boxed{ \therefore \: z = 8}}[/tex]
How to work out -31-4x=-5-5(1+5x)
Answer: x = 1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−31−4x=−5−5(1+5x)
−31+−4x=−5+(−5)(1)+(−5)(5x)(Distribute)
−31+−4x=−5+−5+−25x
−4x−31=(−25x)+(−5+−5)(Combine Like Terms)
−4x−31=−25x+−10
−4x−31=−25x−10
Step 2: Add 25x to both sides.
−4x−31+25x=−25x−10+25x
21x−31=−10
Step 3: Add 31 to both sides.
21x−31+31=−10+31
21x=21
Step 4: Divide both sides by 21.
21x/21 divided by 21/21
Get x = 1
Answer:
x=1
Step-by-step explanation:
*I underlined everything we are working with at that moment
- 31 - 4x = - 5 - 5(1+5x)
-5(1+5x)=5-25x
-31-4x=-5-5-25x
-31=-10-21x
-21=-21x
x=1
A boy is 8 years older than his brother four years from now the boy will be twice as old as his brother how old is each boy
Answer:32
Step-by-step explanation:
8 times 4
Answer:
Boy: 12 Brother: 6
Step-by-step explanation:
If a boy was 8 years old and in 4 years from the boy was twice is brothers age you would first have to add 4 to the 8 to get how many years old the boy was (8+4=12)
When you get these answer, you would have to divide bye 2 bceause the boy was twice his age and therefore, we would find out how many years old the brother was
(12/2=6)
which value of x is in the solution set of the following inequality?
The right answer is Option 2.
Step-by-step explanation:
Given inequality is;
-3x+5>17
Solving the inequality
Subtracting 5 from both sides of the inequality;
[tex]-3x+5-5>17-5\\-3x>12[/tex]
Dividing both sides of inequality by -3;
[tex]\frac{-3x}{-3}>\frac{12}{-3}\\\\x>-4[/tex]
The solution to the inequality is -4.
The right answer is Option 2.
Keywords: subtraction, division
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Answer ........................
(1)
Section 3
Mr. Lenny paid $1480.00 for 4 cricket balls and 2 cricket bats. The cost of 1 cricket bat is twice as
much as a ball. What is the cost of 1 cricket ball and 1 cricket bat?
Answer.
.
.
.
.
....(
4) (answer with explanation)
Answer:
The cost of one cricket bat is $370, while the cost of one cricket ball is $185.
Step-by-step explanation:
Let's identify what we already know:
1) Mr. Lenny paid a TOTAL of $1480.00 for 4 cricket balls, and two cricket bats.
2) The cost of one cricket bat is twice as much as a cricket ball.
We can create an initial equation:
(4 times x) + (2 times y) = $1480.00
x is the price of one cricket ball, while y is the price of one cricket bat. Considering how the problem is set up, I know the 4 balls should add up to the same price as two bats.
So, the four balls should equal half of $1480, which is $740, and the two bats should also equal $740.
Calculate it out, and you'll find that one cricket bat equals $370, while one ball equals $185.
The question can be solved by representing the cost of a ball as x and bat as 2x, forming the equation 4x + 2(2x) = 1480. Solving this equation finds the cost of the individual cricket ball and bat.
Explanation:In this question, we know that the cost of one cricket bat is twice the cost of a cricket ball, and that Mr. Lenny bought 4 cricket balls and 2 cricket bats for $1480.00. To solve for the individual price of each item, we can use the method of substitution in algebra.
Let's represent the cost of a ball as x and a bat as 2x. This becomes an equation of 4x (cost of 4 balls) + 2(2x) (cost of 2 bats) = 1480.
Solving for x will give us the cost of one cricket ball, and multiplying the value of x by 2 will offer the cost of a single cricket bat.
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Gilberto’s grandfather gives him $5 for his birthday and then $.50 for each math question he answers correctly on his math exams for the year. Write an equation that represents the amount of money that Gilberto receives during the school year. Explain what the variables and numbers mean.
Answer:
Therefore total amount of money that he got is = $(5+0.50x) [ x = number of correct math]Step-by-step explanation:
Given, Gilberto's grandfather gives him $5 for his birthday and then$0.50 for each math he answers correctly on his math exam for the year.
Let , the number of math that he answers correctly on his his math exam for the year is x
Therefore he got = $(0.50× x) =$ 0.50x for doing correct math.
Therefore total amount of money that he got is = $(5+0.50x) [ x = number of correct math]
2x - 3 greater than equal to 5
PLEASE EXPLAIN IT ;)
Answer:
x≥4
Step-by-step explanation:
We want to solve for x in
[tex]2x - 3 \geqslant 5[/tex]
Let us add 3 to both sides:
[tex]2x - 3 + 3\geqslant 5 + 3[/tex]
We simplify to get:
[tex]2x\geqslant 8[/tex]
Divide through by 2 to get:
[tex]x \geqslant 4[/tex]
Answer:
The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true
Step-by-step explanation:
To explain
[tex]2x-3\geq 5[/tex]
let us solve this inequality and find the value of x
[tex]2x-3\geq 5\\2x\geq 5+3\\2x\geq 8\\x\geq (\frac{8}{2} )\\x\geq 4[/tex]
As
x [tex]\geq[/tex] 4
So
The equation means for all values of x [tex]\geq[/tex]4 this equation 2x-3[tex]\geq[/tex] 5 is true
Keywords: Algebra
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If an intercepted arc measures 124°, what is the measure of its inscribed angle? the same, 124° twice the measure, 248° half the measure, 62°
Answer:
The correct option is C.) half the measure 62°
Step-by-step explanation:
i) Intercepted arc measures 124°
ii) The measure of the inscribed angle will be half of the intercepted arc
therefore inscribed angle = 124° / 2 = 62°
iii) Therefore the correct option is C.) half the measure 62°
The measure of an angle inscribed in a circle is half the measure of its intercepted arc. Therefore, if the intercepted arc is 124°, the inscribed angle would be 62°.
Explanation:This problem is related to the relationship between arcs and inscribed angles in circles. In geometry, there's a specific rule that states: the measure of an angle inscribed in a circle is half the measure of its intercepted arc.
Therefore, if the intercepted arc measures 124°, its inscribed angle would have half the measure, or 62°. If the inscribed angle were to have the same measure, it would imply that the arc measure was double the angle, which is not the case here.
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5. Mrs. Neri works part time at an electronics store. She is paid a weekly salary plus a
commission based on her total sales. The table shows her total sales and her total pay
for the last two weeks.
Week/1
Total Sales
/ $500
to
Total Pay
$425
Week/2
Total sales
$350
Total pay 395
Based on the data in the table, which equation represents Samantha's total pay, y, as
a function of her total sales, x?
A) y = 0.6x + 125
B) y = 0.2% + 325
C) y = 1.6% -95
Answer:
The equation that represents Samantha's total pay as a function of her total sales is B. y = 0.2x + 325
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Total Sales Total Pay
Week 1 $ 500 $ 425
Week 2 $ 350 $ 395
2. Let's find out the equation that represents Samantha's total pay as
a function of her total sales, this way:
Week 1:
A) y = 0.6x + 125 = 0.6 * 500 + 125 = 300 + 125 = 425 Correct
B) y = 0.2x + 325 = 0.2 * 500 + 325 = 100 + 325 = 425 Correct
C) y = 1.6x - 95 = 1.6 * 500 - 95 = 800 - 95 = 705 Incorrect
Week 2:
A) y = 0.6x + 125 = 0.6 * 350 + 125 = 210 + 125 = 335 Incorrect
B) y = 0.2x + 325 = 0.2 * 350 + 325 = 70 + 325 = 395 Correct
C) y = 1.6x -95 = 1.6 * 350 - 95 = 560 - 95 = 465 Incorrect
The equation that represents Samantha's total pay as a function of her total sales is B. y = 0.2x + 325
The sides 5, 6, and 12 form a triangle. True or False
Answer:
False
Step-by-step explanation:
According to the The Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater then the measure of the third side. So use this theorem to solve:
6+12=18 and 18>5
so far it is following the theorem but we need to make sure all of the sides follow it so lets continue.
6+5= 11 and 11<12
This does not follow the theorem, so the sides 5,6, and 12 cannot form a triangle.
Answer:
False
Step-by-step explanation:
Solve for x: 14-14x^1/3 =2
Answer: 216/343 or 0.6297
Step-by-step explanation:
[tex]14-14x^{1/3} = 2\\14 -2 = 14x^{1/3}\\12 = 14x^{1/3}\\\frac{12}{14} =x^{1/3}\\\frac{6}{7} =x^{1/3}\\(\frac{6}{7})^3 =(x^{1/3})^3\\\frac{6^3}{7^3} =x\\\\\frac{216}{343} = 0.629737609 = x[/tex]
the length of the top of a rectangular-shaped deck is 6 meters longer than its width. if the area of the top of the deck is 72 square meters, what is it’s length in meters?
Answer:
6 meters
Step-by-step explanation:
length= 6+x
width= x
x (x+6)= 72⇔ [tex]x^{2}[/tex] + 6x - 72= 0⇔ x= (-6 ±[tex]\sqrt{6^{2} -4 *1*(-72) }[/tex]) / 2*1⇔
⇔ x= (-6±√324)/2 ⇔ x= (-6±18)/2 ⇔ x= 6 ∨ x= -12
Since the width of a rectangle can't be negative, the answer will be 6 meters.
Solutions to -8x + 5 less than or equal to 11
Answer:
[tex]x\geq -\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]-8x+5\leq 11\\\\1. -8x\leq 11-5\\ -8x\leq 6[/tex]
Isolate the parts of the equation with the x variable
[tex]2. \frac{-8}{-8} x\geq\frac{6}{-8} \\x\geq -\frac{3}{4}[/tex]
When you divide or multiply by a negative number in inequalities, you must flip the sign of the inequality.
Hello there!
Im assuming you're solving for X!
Answer:
Your answer in Inequality Form comes to:
x > -3/4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
The area of a rectangle is 54x^9y^8 square yards. If the length of the rectangle is 6x^3y^4 yards, which expression represents the width of the rectangle in yards?
60x^12y^12
9x^3y^2
9x^6y^4
48x^6y^4
Answer:
9 x⁶y⁴
Step-by-step explanation:
for a rectangle
area = length x width, (rearranging)
width = area / length
given area = 54x⁹y⁸ and length = 6x³y⁴
width = 54x⁹y⁸ / 6x³y⁴
= (54/6) ( x⁹y⁸ / x³y⁴)
= 9 ( x⁹y⁸ / x³y⁴)
= 9 ( x⁹⁻³y⁸⁻⁴ )
= 9 ( x⁶y⁴ )
= 9 x⁶y⁴
The expression represents the width of the rectangle in yards is 9 x⁶y⁴.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
For a rectangle
width = area / length
The given area = 54x⁹y⁸ and length = 6x³y⁴
width = 54x⁹y⁸ / 6x³y⁴
= (54/6) ( x⁹y⁸ / x³y⁴)
= 9 ( x⁹y⁸ / x³y⁴)
= 9 ( x⁹⁻³y⁸⁻⁴ )
= 9 ( x⁶y⁴ )
= 9 x⁶y⁴
Hence, the expression represents the width of the rectangle in yards is 9 x⁶y⁴.
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Micah is preparing for a piano recital. He practices for 50 minutes on Monday and 90 minutes on Wensday
Answer:
She increased 80% the practise time
Step-by-step explanation:
The question is incomplete, the following is missing:
by how much did she increase the time she practised each day?
From Monday to Wednesday she increased 90 - 50 = 40 minutes the practise time.
To compute the increment as a percentage use: increment/reference *100
In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.
Answer: increased by 40
she increased by 80%
Step-by-step explanation:
what ordered pair is a solution of this equation 3x-7y=28
help
put it in slope intercet form then take the number before the x and the number after the x and put them into an ordered pair.
A rectangle has a area of 1/6 square centimeters and a length of 1.5 centimeters. What is the width? What is the perimeter?
Answer:
Step-by-step explanation:
width is 9 and the perimiter is 21
Write the absolute value function as a piecewise function. y=6∣x−3∣
Answer:
Step-by-step explanation: y=6 x - 3
(6 X x) - (6 x 3)
6x - 18
-12
The absolute value function y = 6 |x - 3| can be written as a piecewise function. For x < 3, y = 6 * (3 - x) and for x >= 3, y = 6 * (x - 3). This takes into account the always-positive relationship of the absolute value function.
Explanation:The absolute value function y = 6 |x - 3| can be written as a piecewise function as follows:
if x < 3 then y = 6 * (3 - x)if x ≥ 3 then y = 6 * (x - 3)This is because the absolute value function defines a relationship where distance is always positive. For values of x less than 3, the expression within the absolute value brackets is negative, so we have to change the sign. For values of x greater than or equal to 3, the expression is already positive, so it stays as it is.
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Write 2.14 in word form
Answer:
two dollars and fourteen cents
Step-by-step explanation:
Answer:two point fourteen
Step-by-step explanation:
In September, Jerry read for 2/5 of an hour every day for 20 days. How many
hours did he read in September?
Show your work.
Answer:
Step-by-step explanation:
- 2/5 of an hour is equal to 24 min
- 24 times 20 is 480 minuets during September
- 480 minuets is 8 hours
Find the solution(s) to the system of equations represented in the graph. They intersect at 0, negative 4 and 4, 0 (0, 4) and (4, 0) (0, 4) and (−4, 0) (0, −4) and (4, 0) (0, −4) and (−4, 0)
Answer
(0,-4) and (4,0).
Step-by-step explanation:
The solutions of a system of equation from a graph is where the graphs intersect.
From the question, you mentioned that the graphs intersect at (0,-4) and (4,0).
Therefore the solutions to the system are (0,-4) and (4,0).
Probably, you might have a straight line and a quadratic graph interesting or two quadratic graphs.
Plz help ASAP!!!
What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box.
Items purchased: 40, 29, 108, 35, 62, 50, 8
Bags used: 6, 5, 11, 7, 14, 10, 2
r ≈ ____
The correlation coefficient between the given variables is determined as 0.771 (three decimal places).
Correlation coefficient between the variablesThe correlation coefficient between the variables is calculated as follows;
[tex]r = \frac{n\Sigma xy - \Sigma x\Sigma y}{\sqrt{[n\Sigma x ^2 \ - (\Sigma x)^2][n\Sigma y^2- (\Sigma y)^2]} }[/tex]
∑xy = (40 x 6) + (29 x 5) + (108 x 11) + (35 x 7) + (62 x 14) + (50 x 10) + (8 x 2)
∑xy = 3202
n∑xy = 7(3202)
n∑xy = 22,414
∑x = 40 + 29 + 108 + 35 + 62 + 50 + 8 = 332
∑y = 6 + 5 + 11 + 7 + 14 + 10 + 2 = 55
∑x∑y = 332 x 55 = 18,260
∑x² = 40² + 29² + 108² + 35² + 62² + 50² + 8² = 21,738
n∑x² = 7(21,738) = 152,166
(∑x)² = (332)² = 110,224
∑y² = 6² + 5² + 11² + 7² + 14² + 10² + 2² = 531
n∑y² = 7(531) = 3,717
(∑y)² = (55)² = 3,025
Correlation coefficient[tex]r = \frac{22,414-18,260}{\sqrt{(152,166-110,224) (3,717 - 3025)} } \\\\r = \frac{4154}{\sqrt{29,023,864} } \\\\r = 0.771[/tex]
Thus, the correlation coefficient between the given variables is determined as 0.771 (three decimal places).
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The first term of a geometric sequence is 32, and the 5th term of the sequence is 818 .
What are the geometric means between these terms?
Enter your answer by filling in the boxes to correctly complete the geometric sequence. Enter any fractions as simplified fractions.
Answer:
[tex]32,24,18,\frac{27}{2} ,\frac{81}{8}[/tex]
Step-by-step explanation:
Let x, y , and z be the numbers.
Then the geometric sequence is [tex]32,x,y,z,\frac{81}{8}[/tex]
Recall that term of a geometric sequence are generally in the form:
[tex]a,ar,ar^2,ar^3,ar^4[/tex]
This implies that:
a=32 and [tex]ar^4=\frac{81}{8}[/tex]
Substitute a=32 and solve for r.
[tex]32r^3=\frac{81}{8}[/tex]
[tex]r^4=\frac{81}{256}[/tex]
Take the fourth root to get:
[tex]r=\sqrt[4]{\frac{81}{256} }[/tex]
[tex]r=\frac{3}{4}[/tex]
Therefore [tex]x=32*\frac{3}{4} =24[/tex]
[tex]y=24*\frac{3}{4} =18[/tex]
[tex]z=18*\frac{3}{4} =\frac{27}{2}[/tex]
Answer:
Step-by-step explanation:
5+15x=5( ) I'm not writing 20 characters
Answer:
(1 + 3x).
Step-by-step explanation:
We have to evaluate the missing term within the brackets in the following equation.
The equation is, 5 + 15x = 5(?)
Now, 5 + 15x
= 5 × 1 + 5 × 3x {We have to factorize the term where 5 is a factor}
= 5(1 + 3x) {This is reverse of the distributive property of multiplication}
Therefore, the missing term within the brackets is (1 + 3x). (Answer)
The pet store has 20 mice: 11 are white, five are
grey, and four are brown. If the pet storeowner
randomly chooses a mouse for the window
display, what is the probability that the mouse
will be grey?
Answer:
The answer is: 5/20 or a 25% chance
The probability that the pet store owner randomly selects a grey mouse for the window display is 0.25 or 25%.
Explanation:The question asks for the probability of selecting a grey mouse from a pet store that has a total of 20 mice consisting of 11 white, 5 grey, and 4 brown mice. To find the probability, we use the ratio of the number of grey mice to the total number of mice.
The formula for probability is:
Probability (P) = Number of favorable outcomes / Total number of outcomes
We apply the formula as follows:
P(grey mouse) = Number of grey mice / Total number of mice = 5 / 20 = 0.25 or 25%
Therefore, the probability that the pet store owner selects a grey mouse for the window display is 25%.