1) In this question, we can solve it in two different ways. Either algebraically, or by mental Math.
2) Algebraically we have:
[tex]\begin{gathered} a+4=10 \\ a+4-4=10-4 \\ a=6 \end{gathered}[/tex]By mental math, we just need to ask ourselves how much can I add to 4 and get 10,? The answer will be six.
3) Thus, the answer is 6
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x - 3y = 18
Answer:
y = (2/3)x - 6Step-by-step explanation:
Slope-intercept form is:
y = mx + bConvert the given equation as following:
2x - 3y = 18 Isolate the term with y3y = 2x - 18 Divide all terms by 3y = (2/3)x - 6Geometric properties of the section are
Answer:
The geometric properties of sections, which are indicators of the structural performance and load resistance capacity of sections, are characterized by the section shape and dimensions, regardless of material properties.
Which rectangles have an area of 36 square feet? Choose all that are correct. 10 ft 8 ft 9 ft 4 ft 6 ft 6 ft 11 ft 7 ft 12 ft 3 ft
The area of a rectangle is given by the formula below.
[tex]A=bh[/tex]Then, from top to bottom, the areas of the rectangles are
[tex]\begin{gathered} A_1=10\cdot8=80 \\ A_2=9\cdot4=36 \\ A_3=6\cdot6=36 \\ A_4=7\cdot11=77 \\ A_5=3\cdot12=36_{} \end{gathered}[/tex]Therefore, the answers are (top to bottom) the second, third, and fifth rectangle.
all you need is in the photo please answer all the 3 questions
a) y =2^x
b) Exponential
c)
a) According to that graph, we have point (1,2) and (2,4) since that exponential function is
[tex]\begin{gathered} y=a(b)^x \\ 1=a(b)^0\rightarrow a\text{ =1} \\ 4=ab^2\text{ }\rightarrow4\text{ =}b^2\rightarrow\text{ }b=2 \\ y=2^x \end{gathered}[/tex]Since the function is increasing, due to its direction, we can write y =2^x
b)The type of function is exponential, since x= 0, y = 1, and due to its shape.
3) As we can see the shape of the graph is curve,
Need ASAP please and thank you! :)
Answer:
B. [tex]\dfrac{x^2+3}{\left(x-1\right)\left(x-3\right)}[/tex]
Step-by-step explanation:
Will provide explanation later since you are in a hurry
1. Find the LCM of the two denominators: x-1 and x -3
This is (x-1)(x-3)
2. Multiply each numerator by the same amount needed to multiply itscorresponding denominator to turn it into the LCM (x−1)(x−3)
[tex]\mathrm{For}\:\dfrac{x-3}{x-1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x-3[/tex]
[tex]\dfrac{x-3}{x-1} = \dfrac{\left(x-3\right)\left(x-3\right)}{\left(x-1\right)\left(x-3\right)} = \dfrac{\left(x-3\right)^2}{\left(x-1\right)\left(x-3\right)}[/tex]
[tex]\mathrm{For}\:\dfrac{6}{x-3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x-1[/tex]
[tex]\dfrac{6}{x-3} = \dfrac{6\left(x-1\right)}{\left(x-3\right)\left(x-1\right)} = \dfrac{6\left(x-1\right)}{\left(x-1\right)\left(x-3\right)}[/tex]
[tex]2. \mathrm{Simplify\:}\left(x-3\right)^2+6\left(x-1\right)[/tex]
[tex]\left(x-3\right)^2 = x^2 - 6x + 9\\\\\\3. \; \text{Expand }6\left(x-1\right)\;6\left(x-1\right) = 6x-6\\\\[/tex]
4. Since the denominators are the same in both terms, we can add the numerators and use the common denominator as the denominator for the result
Adding numerators derived from steps 2 and 3 above we getAnswer:
While adding two Fractions first we find the LCM of Denominators,
The LCM of x-1 and x-3 is (x-1)(x-3)
now, we perform the calculation as ,
[tex]{\frac{x-3}{x-1}} + {\frac{6}{x-3}}[/tex]
[tex]{\frac{(x-3)²+6(x-1)}{(x-1)(x-3)}}[/tex]
[tex]{\frac{x²+9-6x +6x-6}{(x-1)(x-3)}}[/tex]
[tex]{\frac{x²+3}{(x-1)(x-3)}}[/tex]
Hence option B is the answer
Expressing the relationship between two quantities with a linear equation. A stationary store sells large and small packages of greeting cards. Each large package contains h greeting cards. Each small package contains k greeting cards., which is 4 less than the larger package. Express h in terms of k
large = h greeting cards
small = k greeting cards this is four less
h = k + 4 This is the answer
Help me please in need of it
Answer:
-2
Step-by-step explanation:
Substituting the points (0,2) and (1,0) into the slope formula, [tex]m=\frac{2-0}{0-1}=-2[/tex].
chords AB and CD intersect as shown nelow find the length of CD
We are asked to determine the length of CD, to do that we will use the following relationship:
[tex]\begin{gathered} CD=21+x+1 \\ CD=22+x \end{gathered}[/tex]Therefore, we need to determine the value of "x". To do that we will use the intersecting chords theorem, that is:
[tex](21)(x+1)=(9)(3x-9)[/tex]Now we solve for "x" first by applying the distributive law:
[tex]21x+21=27x-81[/tex]Now we will subtract 21 to both sides:
[tex]\begin{gathered} 21x=27x-81-21 \\ 21x=27x-102 \end{gathered}[/tex]Now we will subtract 27x to both sides:
[tex]\begin{gathered} 21x-27x=-102 \\ -6x=-102 \end{gathered}[/tex]Dividing both sides by -6:
[tex]x=-\frac{102}{-6}=17[/tex]Now we replace the value of "x" in the expression for segment CD:
[tex]\begin{gathered} CD=22+17 \\ CD=39 \end{gathered}[/tex]Therefore, the length of CD is 39.
Robert has two more than three times the number of cards that Amanda has which expression represents the number of cards that Robert has
To state the equation that represents the given situation, we take x as the number of cards Amanda has. Three times the number of cards is 3x, two more is +2. It means that the expression that represents this situation is:
[tex]3x+2[/tex]please help me please
It's a line that slopes down
The second choice is the answer because the slope is negative.
How many pairs of parallel edges are there in a rectangular prism
Answer:
A rectangular prism has 3 pairs of congruent parallel faces.
Let d represent the number of $2 decreases i price. Let r be the company’s revenue. Write a quadratic function that reflects the company’s revenue.
Answer:
Let d be the number of $2 decreases, and r be the company´s revenue, then the company can sell:
[tex]800+40d[/tex]cellphones per week at a price of:
[tex]80-2d[/tex]dollars.
Therefore, the quadratic equation that represents the revenue is:
[tex](800+40d)(80-2d)\text{.}[/tex]Now, graphing the above equation we get:
From the above graph, we can determine the vertex and the vertex gives us for which value of d the company gets the maximum revenue.
The company should charge $80-10($2)=$80-$20=$60.
Solve the inequality and draw the solution |r|-3>2
We want to solve the following inequality
[tex]|r|\text{ -3 >2}[/tex]To solve this inequality, we first add 3 on both sides, so we get
[tex]|r|>2+3=5[/tex]So we have the inequality
[tex]|r|>5[/tex]Recall that the absolute value represents the distance from a number to 0. So this means that the number r is greater than 5 or it is less than -5. So we have the following two inequalities
[tex]r>5[/tex][tex]r<\text{ -5}[/tex]This could be drawn on the number line as follows. Greater than (>) means that the number 5 is on the left, and the less than (<) means that the number -5 is on the right side. So we get the following
Which set of ordered pairs (x,y) could represent a linear function?A. {(-7,3), (-2,1), (3,-1), (8,-3)}B. {(-2,8), (-1,4), (1,0), (3,-4)}C. {(-3,-6), (0,-5), (3,-3) (6,-2)}D. {(0,-8), (3,-5), (5,-2), (8,1)}
Answer:
A. {(-7,3), (-2,1), (3,-1), (8,-3)}
Explanation:
A linear function has a constant slope.
To determine the set of ordered pairs (x,y) that could represent a linear function, we find the slope for two pairs of points.
[tex]\text{Slope}=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}[/tex]Option A
Using points (-7,3) and (-2,1).
[tex]\text{Slope}=\frac{3-1}{-7-(-2)}=\frac{2}{-7+2}=-\frac{2}{5}[/tex]Using points (-7,3) and (3,-1).
[tex]\text{Slope}=\frac{3-(-1)}{-7-3}=\frac{4}{-10}=-\frac{2}{5}[/tex]We see that the slopes are the same.
Therefore, the set of ordered pairs in Option A represent a linear function.
f(x) = (x-1.5)^2 find the vertex
The given function is
[tex]f(x)=(x-1.5)^2[/tex]It is important to know that the function is in vertex form
[tex]f(x)=a(x-h)^2+k[/tex]Where h and k are the coordinates of the vertex.
Having said that, we can deduct that the vertex of the given function is (1.5, 0) because those are the values for h and k.
Hence, the answer is V(1.5, 0).4. During a long weekend, Devon paid a total of x dollars for a rental car so he could visit his family. He rented the care for 4 days at a rate of $36 per day. There was an additional charge of $0.20 per mile after the first 200 miles.
a. Write an expression to represent the amount Devon paid for additional mileage.
b. Write an expression to represent the number of miles over 200 miles that Devon drove.
c. How many miles overall did Devon drive overall if he paid $174 for the car rental? Show work.
Answer:
A)
c = 0.20m + 144
Where c is total cost and m is miles driven.
B)
c = (200 + 0.20m) + 144
C)
174 = 0.20m + 36x4
174 = 0.20m + 144
30 = 0.20m
30/0.20 = m
m = 150+200
m = 350miles
Hope that helps
−8(2) +5(2 − 12)+ (−2)(5 −2) +(−3)(3)
Answer:
The answer is -81.
Step-by-step explanation:
Let me know if I got it wrong.
I need help finding
The proeprty of rhombus is that
The diagnol of a rhombus VX bisect the angle WVY in two equal parts .
Therefore, the angle YVX = angle XVW.
[tex]\angle YVX=(9n+4)^{\circ}[/tex]The another property of rhombus is that the diagnol are perpendicular .
[tex]3n^2-0.75=90[/tex]triangle p undergoes a sequence of tranformations resultig in triangle Q which sequence of transformations could be used to show that triangle Q is similar but not congruent to triangle p
The most appropriate choice for Similar and congruent triangles will be given by
Third Option dilation is correct.
What are Similar and congruent triangles?
Two triangles are similar if their angles are equal but their sides are proportional
The different axioms of similarity are SAS, SSS, AA
Two triangles are congruent if their sides and angles are both equal
The different axioms of congruency are ASA, SAS, AAS, RHS, SSS
Here, A stands for angle, S stands for side R stands for right angle, H stands for hypotenuse.
Here,
Two Similar triangle means corrosponding sides are proportional and two congruent triangle means corrosponding sides and angles and angles are same
The triangle after rotation and reflection do not change any length of side or angle. So the triangles will be same after reflection or rotation. So congruency will not be disturbed here.
Now, in case of dilation, length of each side will change but in same proportion.
So dilation can make two similar triangles but not congruent triangles
So third option is correct.
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Complete Question
Triangle P undergoes a sequence of tranformations resultig in triangle Q which sequence of transformations could be used to show that triangle Q is similar but not congruent to triangle P
a) Rotation
b) Reflection
c) Dilation
d) Any of these could be the transformation
the equation of line m is y =9/5x +9. line n is parallel to line m. what is the slope of line n?
the slope for the line n is 9/5
Refer to the photo that I have posted to much to type
The total cost of the chocolate cookies is $300
The markup cost on cookies is $135
The total selling price of cookies is $435
The percentage of defective cookies is 15%.
The number of sellable cookies after removing the defective cookie is 170
The price of each cookie is $2.56
What is the total cost?The total cost of the chocolate cookies is the product of the cost per cookie and the number of cookies produced.
Total cost = cost per cookie x total cookies produced
$1.50 x 200 = $300
The markup cost on cookies can be determined by multiplying the percentage markup by the total cost of cookies
Markup = percentage markup x total cost of cookies
45% x $300
0.45 x $300 = $135
The total selling price of cookies is the sum of the markup on cost and the total cost of producing the cookies
Total selling price = $135 + $300 = $435
Number of sellable cookies after removing the defective cookies = (1 - percentage of defective cookies) x number of cookies produced
200 x (1 - 0.15)
200 x 0.85 = 170
Price of each cookie = total cost after markup / total number of sellable cookies
435 / 170 = $2.56
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a model of a skyscraper is made so that 1 inch represents 75 feet what is the height of the actual building if the height of the model is 20 1/4 inches
Given the proportional relationship:
1 in = 75 feet
To get feet, of 20 1/4th inches, we have to multiply the inches by 75:
[tex]\begin{gathered} 20\frac{1}{4}\times75 \\ =\frac{81}{4}\times75 \\ =\frac{6075}{4} \\ =1518\frac{3}{4}\text{ fe}et \end{gathered}[/tex]Note: we converted 20 1/4th to improper fraction, then did the mulitplication.
The answer is:
[tex]1518\frac{3}{4}\text{ feet}[/tex]Evaluate x^3 - 6y + 2 for x = 4 and y= 6.
The given expression is x^3 - 6y + 2
We are gven x = 4 and y = 6
Substituting the given values into the expression, it becomes
4^3 - 6*6 + 2
= 12 - 36 + 2
= - 22
Jerry, Jack and Sophie are all hoping to save money! Jerry thinks saving money in a shoe box in his closet every month is a good idea. He decides to start with $125, and then save $50 each month. Jack was given $3520 from his Grandma, and decides to put the money into an account that has a 6.5% interest rate that is compounded annually. Sophie has earned $3500 working at the movie theater decides to put her money in the bank in an account that has a 7.05% interest rate that is compounded continuously Part 3: Describe the type of equation that models Sophie’s situation. Create that equation of Sophie’s situation. Using the equation you created, how much money will be in Sophie’s account after 3 years? 10 years?
Sophie
- The formula for continuously compounded interest is given by:
[tex]A=Pe^{rt}[/tex]Where:
A is the amount after t years.
P is the principal.
r is the annual interest rate.
Therefore the equation is:
P = $3500
r = 7.05% = 0.0705
[tex]A=3500e^{0.0705t}[/tex]- Money in Sophie’s account after 3 years:
t = 3
[tex]A=3500e^{0.0705(3)}=3500e^{0.2115}=4324.35[/tex]This is $4324.35
- Money in Sophie’s account after 10 years:
t = 10
[tex]A=3500e^{0.0705(10)}=3500e^{0.705}=7083.46[/tex]This is $7083.46
Answer
Describe the type of equation that models Sophie’s situation: exponential growth model.
Create that equation of Sophie’s situation:
[tex]A=3500e^{0.0705t}[/tex]Money will be in Sophie’s account after 3 years: $4324.35
Money will be in Sophie´s account after 10 years: $7083.46
What is the value of x?
4x=5x–12
Answer:
x=12
Step-by-step explanation:
I just know
Answer: 12
Step-by-step explanation: The value of x is 12
1. subtract 5 from both sides, 4x-5 and 5x-5
2. combine like terms
3. divided by -1
4. you get 12
Question 10(Multiple Choice Worth 1 points)
(08.01 LC)
Susan wants to conduct a survey to find how much time the students of her school spent eating in a local cafeteria. Which of the following is an appropriate statistical question for this survey?
Who eats at the cafeteria on weekends?
How many students eat in the cafeteria on Mondays?
How many students eat in the cafeteria once a week?
How many hours during the week do you eat in the cafeteria?
Estimate by using the table of percent-fraction equivalents: 34% of 18 = _____table PercentFraction25% 1/433-1/3%1/350% 1/266-2/3%2/375% 3/4
34 % of 18
Using the table
the 33% of any value is 1/3 of the value, as follows
[tex]18*\frac{1}{3}=6[/tex]then 33% of 18 is 6
then
34% of 18 is equivalent to 6
Write the equation of the circle given the following information
Given;
There are given that points are:
[tex](1,13)\text{ and \lparen-3,-9\rparen}[/tex]Explanation:
From the standard form of the circle:
[tex](x-a)^2+(y-b)^2=r^2[/tex]Where
a and b represent the center.
Now,
To establish the equation, we require to know it is center and radius.
Since we are given the endpoints of the diameter
Then,
The center will be at the midpoint and the radius will be the distance from the center to either of the two given points.
Then,
From the formula of midpoint to calculate the midpoint:
[tex](x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Then,
From the given two points:
[tex]\begin{gathered} (x,y)=(\frac{1-3}{2},\frac{13-9}{2}) \\ (x,y)=(-\frac{2}{2},\frac{4}{2}) \\ (x,y)=(-1,2) \end{gathered}[/tex]The midpoint is ( -1, 2).
Now,
We need to find the value of the radius.
So,
To calculate the radius, we need to use the distance formula:
Then,
From the formula of distance, here we will use the points: (-1, 2) and (1, 13)
[tex]\begin{gathered} r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ r=\sqrt{\left(1+1\right)^2+\left(13-2\right)^2} \\ r=\sqrt{4+121} \\ r=\sqrt{125} \end{gathered}[/tex]Now,
We have the value of radius and the point of center.
Then,
Put the value of radius and point of the center into the standard form of the circle:
So,
From the standard form of the circle:
[tex]\begin{gathered} (x-a)^{2}+(y-b)^{2}=r^{2} \\ (x-\left(-1\right))^2+(y-2)^2=\lparen\sqrt{125}^)^2 \\ (x+1)^2+(y-2)^2=125 \end{gathered}[/tex]Final answer:
Hence, the equation of the circle is shown below;
[tex](x+1)^{2}+(y-2)^{2}=125[/tex]estimate the difference of 1 1/5 - 9/10
estimate the difference of 1 1/5 - 9/10
we have
1 1/5=1+1/5=6/5
6/5=12/10
so
12/10-9/10=3/10=0.3
answer is 0.3
estimete
1 1/5 is about 1
9/10=0.9
so
1-0.9=0.10
the estimate is 0.10
steps
Rounded 1 1/5------> 1
we know that
9/10=0.9
so
substitute
1-0.9=0.10
solve the equations and verify the answer
6.6 is value t in of linear equation .
What is linear equation with example?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5. Finding both intercepts of an equation in this format is rather simple (x and y).A linear equation with one variable has the conventional form Ax + B = 0. x is a variable, A is a coefficient, and B is constant in this situation.2t + 3/3 = 3t - 8/2
2( 2t + 3 ) = 3( 3t - 8 )
4t + 6 = 9t - 24
9t - 4t = 9 + 24
5t = 33
t = 33/5
t = 6.6
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