Answer:
(4, -23)
Step-by-step explanation:
To see if a point is on the equation, substitute its "x" and "y" coordinates into the equation. The points are written as (x, y). If the left side equals the right side, the point is on the line. (LS = RS)
Try (4, 12)
y = -5x - 3
12 = -5(4) - 3
12 = -20 - 3
12 = -23
LS ≠ RS
The point is not on the line.
Try (4, -12)
y = -5x - 3
-12 = -5(4) - 3
-12 = -20 - 3
-12 = -23
LS ≠ RS
The point is not on the line.
Try (4, 23)
y = -5x - 3
23 = -5(4) - 3
23 = -20 - 3
23 = -23
LS ≠ RS
The point is not on the line.
Try (4, -23)
y = -5x - 3
-23 = -5(4) - 3
-23 = -20 - 3
-23 = -23
LS = RS
The point (4, -23) is on the line.
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 30 books and each large box can hold 40 books. There were twice as many large boxes sent as small boxes, which altogether can hold 330 books. Determine the number of small boxes sent and the number of large boxes sent.
Answer:
Step-by-step explanation:
x = small box and y = large box
30x + 40y = 330
y = 2x
30x + 40(2x) = 330
30x + 80x = 330
110x = 330
x = 330/110
x = 3 <===== 3 small boxes
y = 2x
y = 2(3)
y = 6 <=== 6 large boxes
check...
30x + 40y = 330
30(3) + 40(6) = 330
90 + 240 = 330
330 = 330 (correct)
How do you solve -3x+28=10
Answer: x = 6
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is -3x.
Since 28 is being added to -3x, we subtract 28 from both sides of the equation to isolate the -3x. On the left, the +28 and -28 cancel out and on the right 10 - 28 is -18 so we have -3x = -18.
Now we can finish things off by just dividing both sides of the equation by -3. On the left the -3's cancel and we have x. On the right, -18 divided by -3 is 6 so we have x = 6 which is the solution to our equation.
What is measure of angle D?
pls provide explanation
Helpppp Find the perimeter
The perimeter of rectangle is 16x-2y+4.
Step-by-step explanation:
Given dimensions are;
Length = 5x-y
Width = 3x+2
We know that;
Perimeter of rectangle = 2(Length + Width)
Perimeter of rectangle = [tex]2(5x-y+3x+2)[/tex]
Perimeter of rectangle = [tex]2(8x-y+2)[/tex]
Perimeter of rectangle = [tex]16x-2y+4[/tex]
The perimeter of rectangle is 16x-2y+4.
Keywords: rectangle, perimeter
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- What is the percent of increase from 5,000 to 8.000?
Answer:
increase is 37.5%
Step-by-step explanation:
3000/8000 *100= 37.5%
Using the pencil, plot the point (2, -4).
Answer:
Please see pic
Step-by-step explanation:
Go two places to the right (on x axis), then four places down (on y axis)
Sorry it would not let me attach a pic
265 miles in 10 hour. how many hours per mile
Answer: 26.5 mph, or miles per hour
265/10 = 26.5
Answer: 26.5 mph
Step-by-step explanation: We need to divided 265 miles by 10 hours
265/10
Answer: 26.5 mph
Hope this helps!
The adjoining figure is the figure of two pillars
mounted a squared pyramid on the top. Find the
total cost of tiling the pillars at the rate of
Rs 52 per square feet.
Answer:
[tex]Rs\ 4,296[/tex]
Step-by-step explanation:
step 1
Find out the lateral area of the pillars
we know that
The lateral area of a rectangular prism is equal to
[tex]LA=PH[/tex]
where
P is the perimeter of the base
H is the height of the prism
Determine the perimeter of the base
[tex]P=4(1)=4\ ft[/tex] ----> is a square base
[tex]H=6\ ft[/tex]
The lateral area is equal to
[tex]LA=4(6)=24\ ft^2[/tex]
Remember that the number of pillars is 2
so
[tex]LA=2(24)=48\ ft^2[/tex]
step 2
Find the cost of tiling the pillars at the rate of Rs 52 per square feet
Multiply the lateral area of the two pillars by the rate
so
[tex]48(52)=Rs\ 4,296[/tex]
In December one artificial Christmas tree cost $159. In January the same tree cost $62. Find the percent of decrease to the nearest whole percent.
Answer:
[tex]61\%[/tex]
Step-by-step explanation:
Cost in December[tex]=\$159[/tex]
Cost in January[tex]=\$62[/tex]
Total decrease in the cost[tex]=159-62=\$97[/tex]
[tex]Percentage\ decrease=\frac{97}{159}\times100\\\\=61.006\approx 61\%[/tex]
a company makes concrete bricks shaped like rectangular prisms. Each brick is 10 inches long, 6 inches wide, and 4inches tall. If they used 13,200 cubic inches of concrete, how many bricks did they make?
Answer:
55
Step-by-step explanation:
Volume of a rectangular prism is width time length times height.
V = WLH
The volume of each brick is:
V = (6 in) (10 in) (4 in)
V = 240 in³
The total volume is 13,200 in³, so the number of bricks is:
13,200 in³ / 240 in³ = 55
Can someone please help. It’s fine if the answer not correct at least you tried. But could anyone help because I can’t figure out the answer
WAR is given as 57 degrees.
If you draw a line from W to R, the angle WRA would also be 57 degrees.
57 + 57 = 114
The measure of AR = 180 -114 = 66 degrees.
Answer:
66.
Step-by-step explanation:
If You See W.And R., They Are The Same Angle's, So If They Are Little And Big At The Same Time, You Can Notice It Will Be 66* :)
Tell Me If You Have Any Problomes With These!!!!
Hope This Information Helps!!!
Aiko types at a rate of 70 words per minute.
After typing at the same rate for 3 minutes, he had typed a total of 210 words.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of words.
Use this information to complete each statement about the linear equation.
The slope of the linear equation is ____
One point on the graph of a linear equation will be ___
This linear equation can be written as ____
In this question, we're trying to make an equation for the given scenario and answer a couple of leading questions.
We know that Aiko types at a rate of 70 words per minute
We would represent this as 70x
x = minutes
We are also given more information that he types 210 words in 3 minutes, that still follows our "70x" scenario.
So our equation would be:
y = 70x
The slope of the linear equation would be 70 or 70/1
The slope would be 70 because this is the change that's happening each minute.
A point on a graph would be at (1 , 70)
You would put this equation into a graph, and you would grab a point that's on the linear line. I'll insert a picture of the graph
The linear equation would be written as: y = 70x
The beginning point would be at 0, since Aiko doesn't type anything for 0 minutes.
Answer:
1 The slope of the linear equation is 70
2 One point on the graph of a linear equation will be 3, 210
3,This linear equation can be written as y-210=70(x-3)
Step-by-step explanation:
PLEASE HELP NOW !!
Jill babysits and earns y dollars at a rate of $8 per
hour plus a $5 transportation fee. Samantha
babysits and earns 2y dollars at $16 per hour plus
a $10 transportation fee. Write a system of equations
and graph to determine the number of hours each needs
to babysit to earn the same amount of money.
There are 3 dollars per hour per babysitting job for they will get the same amount.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Jill babysits and makes x dollars per hour plus a $5 transportation charge. Samantha babysits and makes two thousand dollars per hour extra transportation cost of $10
As per the given question, the required system of equations would be as:
Jill: y = 8 - 5
8- 5 = 3
y = 3 dollars per hr per babysitting job
Samantha: 2y = 16 -10
2y = 6
2/2 = 6/2
3 dollars per hr per babysitting job
They will get the same amount regardless of how many hours they babysit
Thus, there are 3 dollars per hour per babysitting job for they will get the same amount.
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A developer was buying land. He bought 4 acres at $1,863 per acre. He then spilt the land he purchased into 9 lots. How much should he sell each lot for just to break even
Answer:
$1862 ÷9=$207(each lot)
$207 ×4=$828
3. Which polynomial is equal to
(-3x2 + 2x - 3) subtracted from
(x3 - x² + 3x)?
A 2x² + 2x² + x -
B-2x² + 2x² + x + 3
C x² + 2x² +
x3
Dx² + 2? + x + 3
X
Which polynomial is equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x)?
Answer:The polynomial equal to (-3x^2 + 2x - 3) subtracted from (x^3 - x^2 + 3x) is [tex]x^3 + 2x^2 + x + 3[/tex]
Solution:Given that two polynomials are: [tex](-3x^2 + 2x - 3)[/tex] and [tex](x^3 - x^2 + 3x)[/tex]
We have to find the result when [tex](-3x^2 + 2x - 3)[/tex] is subtracted from [tex](x^3 - x^2 + 3x)[/tex]
In basic arithmetic operations,
when "a" is subtracted from "b" , the result is b - a
Similarly,
When [tex](-3x^2 + 2x - 3)[/tex] is subtracted from [tex](x^3 - x^2 + 3x)[/tex] , the result is:
[tex]\rightarrow (x^3 - x^2 + 3x) - (-3x^2 + 2x - 3)[/tex]
Let us solve the above expression
There are two simple rules to remember:
When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.So the above expression becomes:
[tex]\rightarrow (x^3 - x^2 + 3x) + 3x^2 -2x + 3[/tex]
Removing the brackets we get,
[tex]\rightarrow x^3 - x^2 + 3x + 3x^2 -2x + 3[/tex]
Combining the like terms,
[tex]\rightarrow x^3 -x^2 + 3x^2 + 3x - 2x + 3[/tex]
[tex]\rightarrow x^3 + 2x^2 + x + 3[/tex]
Thus the resulting polynomial is found
I bought 6 and 1/2 pounds of potatoes from the local supermarket for a total price of $5.20 write an equation that would give the total cost of any amount of potatoes in pounds
Answer:
x - 0.8y
Step-by-step explanation:
5.20/6.5 = $0.80 per pound
x = total cost of potatoes
y = number of potatoes
x = 0.8y
What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.
Answer:
The value of log 43is 1.633
Step-by-step explanation:
Explanation:
Suppose you know that:
[tex]\begin{array}{l}{\log 2 \approx 0.30103} \\{\log 3 \approx 0.47712}\end{array}[/tex]
Then note that:
[tex]43=\frac{129}{3} \approx \frac{128}{3}=\frac{2^{7}}{3}[/tex]
So
[tex]\log 43 \approx \log \left(\frac{2^{7}}{3}\right)=7 \log 2-\log 3 \approx 7 \cdot 0.30103-0.47712=1.63009[/tex]
We know that the error is approximately:
[tex]\log \left(\frac{129}{128}\right)=\log 1.0078125=\frac{\ln 1.0078125}{\ln 10} \approx 0.00782 .3=0.0034[/tex]
So we can confidently give the approximation:
[tex]\log 43 \approx 1.633[/tex]
Answer:
1.6
Step-by-step explanation:
It's 1.633, when you round to the nearest tenth, it's B) 1.6
If x2 = 20, what is the value of x?
Answer:
[tex]x=-2\sqrt5\ and\ x=2\sqrt5[/tex]
Step-by-step explanation:
Given:
The given equation to solve is:
[tex]x^2=20[/tex]
In order to solve the above equation, we take square root on both the sides.
While taking square root on both sides, we must consider both positive and negative values. So, this gives:
[tex]\sqrt{x^2}=\pm\sqrt{20}[/tex]
From the definition of square root function, we have
[tex]\sqrt{a^2}=a[/tex]
Therefore,
[tex]x=\pm\sqrt{20}[/tex]
Now, writing 20 into the product of its prime factors, we have
[tex]20=2^2\times 5[/tex]
Therefore, [tex]x=\pm\sqrt{2^2\times 5}[/tex]
We also know, [tex]\sqrt{a\times b}=\sqrt{a}\times\sqrt{b}[/tex]
So, [tex]\sqrt{2^2\times 5}=\sqrt{2^2}\times \sqrt{5}=2\sqrt5[/tex]
Therefore, [tex]x=\pm2\sqrt5[/tex]
So, there are two values of 'x'. They are:
[tex]x=-2\sqrt5\ and\ x=2\sqrt5[/tex]
HI. Can you help???
The table shows the total distance a spider traveled after a light was turned on.
Between which two consecutive times was the average rate of change the greatest?
Question 3 options:
A. between Second 11 and Second 15
B.between Second 19 and Second 28
C. between Second 5 and Second 11
D.between Second 15 and Second 19
Answer:
The maximum rate of change is between second 15 and second 19.
Step-by-step explanation:
See the attached table.
The table shows the total distance a spider traveled after a light was turned on.
Now, the average rate of change between two consecutive times in the table is given by
= [tex]\frac{\textrm {Total change in Distance in feet}}{\textrm {Total change in Time in seconds }}[/tex]
Therefore, between second 5 and second 11, the average rate of change = [tex]\frac{7 - 4}{11 - 5} = 0.5[/tex]
Between second 11 and second 15, the average rate of change = [tex]\frac{13 - 7}{15 - 11} = 1.5[/tex]
Between second 15 and second 19, the average rate of change = [tex]\frac{20 - 13}{19 - 15} = 1.75[/tex]
Between second 19 and second 28, the average rate of change = [tex]\frac{24 - 20}{28 - 19} = 0.44[/tex]
Therefore, the maximum rate of change is between second 15 and second 19. (Answer)
Selecto two ratios that are equivalent to 3:12
Answer:
1 : 4 and 6 : 24
Step-by-step explanation:
We can generate equivalent ratios by dividing or multiplying each part of the ratio by the same value
Divide both parts by 3 , then
3 : 12 = 1 : 4 ← in simplest form
Multiply both parts by 2
3 : 12 = 6 : 24
Anwser themm!!!!!! HELP ASAP MATH
Answer:
Please see the detailed answers below:
Step-by-step explanation:
Solution 1:
Sandwich = $9.25
Salad = $4.35
Tax = 7.5%
=> ($9.25 + $4.35) x 7.5 / 100 = 13.6 x 0.075 = $1.02
The amount of Tax on Veena's meal is $1.02
Solution 2:
Book read by Christian = (1/4) / (2/3) = (1/4) x (3/2) = 3/8
Christian will read 3/8 books per week.
Solution 3:
Sale Price = (100 - Discount Rate) x Cost Price
Let Y = Sale Price
By Putting the values in above equation:
Y = (100 - 45) x $650
Y = 0.55 x $650
Y = $357.5
Hence the Sale Price of the bicycle will be $357.5
Solution 4:
Percent error = [(Experimental Value - Accepted Value) / Accepted Value] x 100
Percent error = [(15.5 - 14.5) / 14.5] x 100
Percent error = [1 / 14.5] x 100
Percent error = 2.2%
Hence the percent error in Mark's estimate is 2.2%
A geometry student says; "I got lost in that lesson - I wrote down that AD/AB = AC/AB but I have no idea
where it comes from."
Which of the following should have been the proportion that the student wrote?
answer choices:
a) AD/AB=AB/AC
b) AD/AC=AB/AB
c) AB/AD=AB/AC
d) AB/AC=AB/AD
Answer:
Therefore the choice is
a) AD/AB=AB/AC
Step-by-step explanation:
In Δ ADB and Δ ABC
∠A ≅ ∠A …………..{Reflexive Property}
∠ ADB ≅ ∠ ABC ..............{ measure of each angle is 90° given }
Δ ADB ~ Δ ABC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
[tex]\frac{AD}{AB} =\frac{AB}{AC}\ \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Therefore the choice is
a) AD/AB=AB/AC
Answer:
Therefore the choice is
a) AD/AB=AB/AC
Step-by-step explanation:
In Δ ADB and Δ ABC
∠A ≅ ∠A …………..{Reflexive Property}
∠ ADB ≅ ∠ ABC ..............{ measure of each angle is 90° given }
Δ ADB ~ Δ ABC ….{Angle-Angle Similarity test}
If two triangles are similar then their sides are in proportion.
Therefore the choice is
a) AD/AB=AB/AC
Simplify the expression with distributive property: 8 ( x + 3 )
Answer:
8x+24
Step-by-step explanation:
8(x+3)=8x+24
a chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people
Answer:
[tex]\frac{1}{4} lbs/person[/tex]
Step-by-step explanation:
Here is the complete question: Find the rate of change for the situation:
A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.
Given: 1st situation, A chef cook 9 lbs chicken for 36 people.
2nd situation, chef cook 17 lbs chicken for 68 people.
∴ 1st situation, weight of chicken per person= [tex]\frac{9\ lbs}{36\ person} = \frac{9}{36}[/tex]
Weight of chicken per person= [tex]\frac{1}{4} lbs/ person[/tex]
2nd situation, weight of chicken per person= [tex]\frac{17\ lbs}{68\ person} = \frac{17}{68}[/tex]
Weight of chicken per person= [tex]\frac{1}{4} lbs/ person[/tex]
In both the situation chef cook same amount of chicken per person, which is [tex]\frac{1}{4} lbs/ person[/tex]
∴ Rate of change is [tex]\frac{1}{4} lbs/ person[/tex]
Answer:
i guess 1/4
Step-by-step explanation:
consider this scatter plot. you which line best fits the data
Answer:
line c
Step-by-step explanation:
The sum of 3 consecutive even numbers is 408. What is the largest of the numbers
Answer: 138
Step-by-step explanation:
Let the first number be x , the second number be x + 2 and the third number be x + 4 since they are consecutive even numbers.
Their sum implies:
x + x + 2 + x + 4 = 408
3x + 6 = 408
subtract 6 from both sides
3x + 6 - 6 = 408 - 6
3x = 402
divide through by 3
3x/3 = 402/3
Therefore x = 134.
The numbers are :
134 , 136 and 138 , this means that the largest number is 138
What is the equation of the vertical asymptote of h(x)=6log4(x−3)−5 ? Enter your answer in the box.
Answer:
x = 3
Step-by-step explanation:
The last two parts of the function help see where the curve is and where the vertical asymptote would be. The (x-3) says that it was moved 3 units to the right, and the -5 says that it was moved 5 units down:
/\ * ]
| * [
| * ]
| * [
<--|--|--|--|--|--|--|--|-- |--|--|--|--|--3*-]-|--|--|--|--|--|--|--|--|-->
| * [
| * ]
|*5 [
\/ ]
So the vertical asymptote would be where it crosses the x-axis and then goes straight up: 3
[
] = vertical asymptote
[
__________________________________
*
* = function graphed
*
__________________________________
(By the way, I got this correct on my quiz!)
Hope this helps!
The vertical asymptote of the given function h(x)=6log4(x−3)−5 is x=3.
Explanation:The vertical asymptote of a function is the value of x at which the function approaches infinity or negative infinity. For a logarithmic function h(x)=a*logb(x−c)−d, the vertical asymptote is x=c. Consequently, in the given function h(x)=6log4(x−3)−5, the vertical asymptote is x=3.
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12 less triple the difference of x and 10 is 24.
Find the value of x.
Answer:
The value of x is 22.
Step-by-step explanation:
We are given that,
12 less triple the difference of x and 10 is 24.
So, according to question :
3(x - 10) - 12 = 24
Adding '12' on both sides of the above equation, we get
3(x -10) - 12 + 12 = 24 + 12
⇒3(x - 10) = 36
Dividing the above equation by '3', we get
3(x - 10) ÷ 3 = 36 ÷ 3
⇒x - 10 = 12
Now, adding '10' on both sides of the above equation, we get
x - 10 + 10 = 12 + 10
⇒x = 22
So, the value of x is 22.
Skippy has a total of $10,000 to split between two investments. One account offers 4% simple interest, and the other account offers 8% simple interest. For tax reasons, he can only earn $500 in interest the entire year. How much money should Skippy invest in each account to earn $500 in interest for the year
Skippy should invest $ 7500 in account offering 4 % interest and $ 2500 in account offering 8 % simple interest
Solution:
Given that Skippy has a total of $10,000 to split between two investments
One account offers 4% simple interest, and the other account offers 8% simple interest
Total interest earned = 500
Number of years = 1
Let the principal with rate of interest 4 % is x
So the principal for rate of interest 8 % is 10000 - x
Total interest earned = simple interest for 4 % interest + simple interest for 8 % interest
Simple interest is given as:
[tex]S.I = \frac{pnr}{100}[/tex]
Where "p" is the principal and "r" is the rate of interest and "n" is the number of years
Therefore,
[tex]\text{ Total interest earned } = \frac{x \times 1 \times 4}{100} + \frac{10000-x \times 1 \times 8}{100}[/tex]
[tex]500 = 0.04x + (10000 - x)0.08\\\\500 = 0.04x + 800 - 0.08x\\\\-300 = -0.04x\\\\x = 7500[/tex]
Therefore skippy should invest $ 7500 in account offering 4 % interest
And skippy should invest (10000 - x) = (10000 - 7500) = $ 2500 in account offering 8 % interest
The graph represents the function f(x) = x2 + 3x + 2. If g(x) is the reflection of f(x) across the x-axis, g(x) = . (Write the function in standard form. Use ^ to indicate an exponent.) Reset Next
Answer:
g(x) = - (x² + 3x + 2) = - x² - 3x - 2
Step-by-step explanation:
The graph represents the function f(x) = x² + 3x + 2.
Now, g(x) is the function which is obtained by reflecting f(x) across the x-axis.
While a graph of a function reflects across x-axis then its y-values will change sign for a fixed value of x.
Therefore, the function g(x) will be given by
g(x) = - (x² + 3x + 2) = - x² - 3x - 2 (Answer)