Answer:
Solution : (36, 42)
Step-by-step explanation:
It mention that the image is dilated by a scale factor of 6, and hence we will have to multiply each coordinate by 6 to receive the dilated point. Here we only want the dilation of point B,
B' = (6 [tex]*[/tex] 6, 7 [tex]*[/tex] 6) = (36, 42)
If quadrilateral ABCD is dilated by a scale factor of 6, then the coordinates of point B' are (36, 42).
If (x – ½) and (x-2) are the factors of px2+5x + r, find p and r . Also find p -r .
Answer:
p = -2, r = -2 and p-r = 0.
Step-by-step explanation:
(x - 1/2)(x - 2)
= x^2 - 2x - 1/2x + 1
= x^2 - 5/2x + 1
= 2x^2 - 5x + 2
= -2x^2 + 5x - 2
Comparing this with
px^2 + 5x + r
we see that p = -2, r = -2 and p-r = 0.
determine whether the sum of two values is a rational number or an irrational number.
Answer:
1). Rational
2). Irrational
3). Rational
4). Rational
5). Irrational
Step-by-step explanation:
To solve this question we should follow the rule,
"Addition of rational and an irrational number is an irrational number."
1). [tex]\sqrt{16}=4[/tex] (rational number)
[tex]-\frac{21}{5}[/tex] (negative rational number)
[tex]\sqrt{16}-\frac{21}{5}=4-\frac{21}{5}[/tex]
[tex]=-\frac{1}{5}[/tex] [rational number]
2). π → (Irrational number)
24 → (rational number)
π + 24 → (Irrational number)
Since addition of a rational and an irrational number is an irrational number.
3). [tex]\sqrt{4}[/tex] = 2 (rational number)
5 (rational number)
2 + 5 = 7 (rational number)
4). [tex]\sqrt{36}=6[/tex] (rational number)
[tex]\sqrt[3]{27}=3[/tex] (rational number)
[tex]\sqrt{36}+\sqrt[3]{27}=9[/tex] (rational number)
5). [tex]\frac{3}{4}[/tex] (rational number)
[tex]\sqrt{27}[/tex] → (Irrational number)
[tex]\frac{3}{4}+\sqrt{27}[/tex] → (Irrational number)
Which of the following are characteristics of the graph of the quadratic parent function?
Answer:
Options (1), (2) and (3) will be the correct options.
Step-by-step explanation:
Graph of the quadratic parent function has the following characteristics.
1). It is represented by the equation, y = x²
2). It is a parabola.
3). Graph of the given parabola passes through origin.
4). Graph will be symmetrical in two quadrants, I and II.
By these properties,
Options (1), (2) and (3) will be the correct options.
Answer:
A, B, C are the answers.
Step-by-step explanation:
Two sides of a triangle measure 9 cm and 23 cm. Which could be the
measure of the third side of the triangle?
Answer:
h²=b²+p²
x²= 9²+23²
x²= 81+529
x²=610
X= √610
The figure below is made of two triangular prisms. What is the volume of the figure?
6 in.
14 in.
12 in
8 in
14 in.
7 in.
Answer:
896 in.^3
Step-by-step explanation:
Find the volume of each prism, and add the two volumes together.
V = BH
Upper prism:
Vupper = (1/2)bhH = (1/2)(6 in.)(12 in.)(14 in.)
Vupper = 504 in.^3
Lower prism:
Vlower = (1/2)bhH = (1/2)(7 in.)(8 in.)(14 in.)
Vlower = 392 in.^3
Volume = Vupper + Vlower
Volume = 504 in.^3 + 392 in.^3
Volume = 896 in.^3
Answer: 896 ci
Step-by-step explanation:
Alfie is buying some meat for pizza toppings. Pepperoni costs $3.50 per 100 grams and Parma ham costs $6.50 per 100g. He wants to spend $25 in total.
Answer:
Cost of meat = $15
Step-by-step explanation:
Given:
Pepperoni costs = $3.50
Parma ham costs = $6.50
Total spend = $25
Find:
Cost of meat
Computation:
Cost of meat = Total spend - Pepperoni costs - Parma ham costs
Cost of meat = $25 - $6.50 - $3.50
Cost of meat = $15
Choose the equation that represents the line passing through the point (2, - 5) with a slope of −3.A y = −3x − 13 ,B y = −3x + 11 ,C y = −3x + 13, D y = −3x + 1
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (2, - 5) into the partial equation
- 5 = - 6 + c ⇒ c = - 5 + 6 = 1
y = - 3x + 1 → D
The equation of the line is y=-3x+1. Therefore, option D is the correct answer.
Given that, the coordinate point is (2, -5) and the slope m is -3.
What is the slope intercept theorem?The equation of a line can be written many different ways, and each of these ways is valid. The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
Put (x, y)=(2, -5) and m=-3 in y=mx+c, we get
-5 = (-3)(2) + c
⇒ c = 1
Substitute m=-3 and c=1 in y=mx+c, that is
y=-3x+1
The equation of the line is y=-3x+1. Therefore, option D is the correct answer.
To learn more about the slope intercept form visit:
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match each equation with its correct solution......
-25 + 15 = -10
1 - 13 = -12
-1 divided by 5 = -1/5
-5 multiplied by -1/5 = 1
The bold ones are the answers
Answer:
Step-by-step explanation:
1) n+15=10
solution;
n+15= -10
when a positive sign(+) is crossing an equality sign it becomes a negative sign(-)so, n= -10 -15
n= -25
2) n-13= -12
solution;
remember the rule i told you in number 1 that's the same rule we will use here
n= -12+ 13
n=1
you see so easy... lets continue
3) n\5= -1\5
now in this one there is a new rule which is; when you see two fractions and there is an equal two in between them you cross multiply... okay lets solve
n\5= -1\5
-1*5=n*5
the reason why i exchanged was because the unknown should always be at the left hand side....okay
n*5=-1*5
5n/5= -5/5
5 will divide 5 which is remaining n
5 divide 5 which is -1
so n = -1
4) -5n =1
this is not a fraction so we just take the -5 to 1 and no cross multiplication (they are whole numbers so they meet each other)okay...
so, n=1/-5
At a certain golf course, the cost to rent a golf cart for h hours is given by c = 12h + 25. How much would a customer pay to rent a golf cart for 4 hours? Question 10 options: A) $37 B) $112 C) $73 D) $41
Answer:
c)$73
Step-by-step explanation:
You just have to substitute 4 in for h because h stands for how many hows. They're renting it for 4 hours.
Answer:
c) 73
Step-by-step explanation:
c=12(4 hours) + 25
c=48 + 25
c=73
3x+7=15 I don’t understand this equation
Answer:
7.33333333333
Step-by-step explanation:
3x - 7 = 15
3x = 15 + 7
3x = 22 (divide both sides by 3 to get x)
3x/3 = 22/3
x = 7.33333333333
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
:)
Answer:
x = 8/3Step-by-step explanation:
[tex]3x+7=15\\\\\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}\\\\3x+7-7=15-7\\\\Simplify\\\\3x=8\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{8}{3}\\\mathrm{Simplify}\\\\x=\frac{8}{3}[/tex]
Mariahs earnings rate can be described in dollars per hour or hours per dollar. Mariah earns $10 for each hour she works at a movie theater. State this rate in two different ways, and describe the difference
Answer:
Dollars per hour is $10 and hours per dollar is 6 minutes 15 seconds.
Step-by-step explanation:
Dollars per hour represents how much she earns for each hour of work. Hours per dollar represents how much she works to earn $1.
It is stated that Mariah earns $10 for each hour of work at the movie theater.
This is the "dollars per hour" rate since the base is 1 hour.
This means that she earns 10/60 = $0.16 for every minute she works at the theater. If we divide 1 by this number we find 1/0.16 = 6.25.
This is the minutes she has to work to earn $1. So her hours per dollar rate is 6.25 minutes which is 6 minutes 15 seconds.
I hope this answer helps.
A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.
Answer:
actual length = 171.67 ft.
Step-by-step explanation:
scale of school bus drawing is 12 in. to 5 ft.
if the length of a school bus drawing is 412 in.
5 ft
the actual length is = 412 in x --------
12 in
actual length = 171.67 ft.
The required actual length of the bus is 171.7 feet.
Given that,
A scale drawing of a school bus has a scale of 12 inches to 5 feet.
The length of the school bus is 412 inches on the scale drawing,
To determine the actual length of the bus.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
Scale given,
12 inches = 5 feet
1 inch = 5 / 12 feet
Now on the drawing, the length of the bus is 412 inches,
Now,
the actual length of the bus is,
= 412 * 5 / 12
= 171.7 feet
Thus, the required actual length of the bus is 171.7 feet.
Learn more about arithmetic here:
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(x) + (x + 1) + (x + 2) = 75
Answer: x=24
Step-by-step explanation:
step 1: remove parenthesis x+x+1+x+2=75
step 2: collect like terms 3x+3=75
step 3: move the constant to the right side of equation 3x=75-3
step 4: subtract 3x=72
step 5: divide both sides by three to get x by itself x=24
Hello :) how to do (d)?
Answer:
tan ∠ABC=[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
2. Write the segment Addition postulate for the points described.
J is between S & H
I’m just checking my work pls help
Answer:
SJ + JH = SH or SH = SJ + JH
Step-by-step explanation:
If J belongs to segment SH, then we know that SJ + JH = SH.
The price for digital downloads of music is represented by the linear function f(x) shown on the graph. The price for digital downloads of movies is represented by g(x) = 3x, where x is the number of movies downloaded and g(x) is the total cost in dollars. You want to make 2 downloads, and you have $6. Determine the least expensive option.
Answer:
B
Step-by-step explanation:
A] You download 2 songs.
B] You download 2 movies.
C] You download 1 song and 1 movie.
D] You don't have enough money for 2 downloads.
x= number of movies downloaded
g(x) = total cost in dollars.
From g(x)=x
There is a slope of 1
That is, the movies cost $1 per movie.
It is a proportional relationship because of the absence of y-intercept
f(x) has a slope of (1/2) and y-intercept $2
f(x) = (1/2)x + 2 is the function for the cost of downloading music.
When we get to 3 downloads,
f(3)=g(3) and above, music downloads will be cheaper because they only cost 1/2 dollar for each additional movie compared to $1 for each movie.
For 2 movie downloads
we have,
f(2)=3
g(2)=2
So, downloading two movies will be cheaper.
One of each costs $1 + $2.50,
more than either of the other choices.
Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.
Answer:
c.
Step-by-step explanation:
Answer:
The associative and commutative properties can be applied only to problems with addition. Juan had to change the subtraction to addition by adding the additive inverse.
Step-by-step explanation:
Seven apple women possessed respectively 20,40,60,80,100,120,and 140 apples, went to market and sold all their apples at the same price,and each received the same sum of monkey.What was the price?
Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.
Step-by-step explanation:
given data:
20,
40,
60,
80,
100,
120,
140.
solution.
first woman 20 apples
= 2 + 3 * 6¢.
= 20¢.
second woman 40 apples
= 5 + 5 * 3¢.
= 20¢.
third woman 60 apples
= 8 + 4 * 3¢.
= 20¢.
fourth woman 80 apples
= 11 + 3 * 3¢.
= 20¢.
fifth woman 100 apples
= 14 + 2 * 3¢.
= 20¢.
sixth woman 120 apples
= 17 + 1 * 3¢.
= 20¢.
seventh woman 140 apples
= 20 * 1¢.
= 20¢.
need math help ASAP:)
Answer:
f(-2) = 4
Step-by-step explanation:
The function has three definitions depending on the value of x.
You are looking for the value of the function at x = -2.
-2 is in the interval x <= -1, which is the first line of the definition of the function.
We use the first line of the definition of the function.
f(x) = -2x for x <= -1
f(-2) = -2(-2) = 4
Answer: f(-2) = 4
.....................
Word Forms
40,000=forty thousand
600=six hundred
8=eight
0.9=zero and nine tenths
100,000=one hundred thousand
70,000=seventy thousand
5,000=five thousand
300=three hundred
80=eighty
0.4=zero and 4 tenths
Figure Forms
40,000=400 squares (hundreds)
600=6 squares (hundreds)
8=8 little squares (ones)
0.9=9 lines (tenths)
100,000=100 squares (hundreds)
70,000=70 squares (hundreds)
5,000=50 squares (hundreds)
300=3 squares (hundreds)
80=8 lines (tens)
0.4=4 lines (tenths)
♡ Hope this helps! ♡
❀ 0ranges ❀
If David reads 20 pages a fay for 2 weeks, how many pages will he read altogether?
Answer:
280 pages
Step-by-step explanation:
There are 14 days in 2 weeks ( 7 days in 1 week )
20 pages a day * 14 days = 280 pages
Answer: David reads 280 pages altogether.
Step-by-step explanation: If David reads 20 pages a day, and there are 7 days in a week, then he will read 140 pages in one week (20 x 7). Since the problem asks for how many pages he read in two weeks, then you can multiply 140 by 2 and get 280, which is your answer. Hope this helped :)
20 points! Thanks for the help :)
Answer:
Step-by-step explanation:
a) (-2x³ + x - 5)(x³ - 3x - 4)
= (-2x³) (x³ - 3x - 4) + x(x³ - 3x - 4) - 5(x³ - 3x - 4)
= -2x³*x³ - (-2x³)*3x - (-2x³)*4 + x*x³ - x*3x - x*4 + x³ * (-5) - 3x*(-5) -4*(-5)
= -2x⁶ + 6x⁴ + 8x³ + x⁴ - 3x² -4x - 5x³ + 15x + 20 {add like terms}
= -2x⁶ + 6x⁴ + x⁴ + 8x³ - 5x³ - 3x² - 4x + 15x + 20
= -2x⁶ + 7x⁴ + 3x³ - 3x² + 11x + 20
Hint: When multiplying two terms, multiply the coefficient, and add the powers of the variables {[tex]a^{m}*a^{n}=a^{m+n}[/tex] }
-2x³*x³ = (-2*1) * [tex]x^{3+3}[/tex] = -2x⁶
b) Yes , same because of commutative property of multiplication
Answer:
[tex]-2x^6+7x^4+3x^3-3x^2+11x+20[/tex]
Step-by-step explanation:
a) We can expand [tex](-2x^3 + x - 5) (x^3 - 3x - 4)[/tex], getting [tex]-2x^6+6x^4+8x^3+x^4-3x^2-4x-5x^3+15x+20[/tex]. We can then combine like terms, getting [tex]-2x^6+7x^4+3x^3-3x^2+11x+20[/tex].
b) Yes it is the same, as it doesn't matter the order if you multiply two polynomials. It will always be the same.
4.6 2.8 17 7 least to greatest
Answer:
2.8, 4.6, 7, 17
Step-by-step explanation:
Answer:2.8,4.6,7,17
Step-by-step explanation:So you see the decimal you find the smallest number that is a decimal and that is your least decimal. And then you find the next smallest number and keep going up to the biggest number on the least to greatest.
Savannah had 400400400 chocolate chips. She saved xxx chips for a garnish, and mixed the rest of the chocolate chips evenly into 333 pans of brownies. How many chocolate chips were in each pan of brownies? Write your answer as an expression
Answer:
(400-x) / 3
Step-by-step explanation:
Savannah had 400 chocolate chips. She saved x chips for a garnish, and mixed the rest of the chocolate chips evenly into 3 pans of brownies. Write your answer as an expression
Solution
Total chocolate chips Savannah has=400
Saved chips for garnish =x
Total chocolate chips remaining= 400 - x
We subtract the saved chocolate chips because when an item is saved, it will be deducted from the original Quantity
She mixed the rest of the chocolate chips evenly into 3 pans of brownies
That is,
Remaining chocolate chips (400 - x) is mixed evenly into 3 pans of brownies
(400 - x) / 3
Therefore, the answer is given by the expression:
(400-x) / 3
what is the area of a parallelogram
Answer:
Step-by-step explanation:
Area of parallelogram= base * height
Answer:
A= L × W
or
A = S × S
Step-by-step explanation:
A parallelogram are shapes with 4 sides. To find its area, we must do the following formula.
(For rectangle, etc...)
Area = Length × Width
A represents Area
L represents Length
(For a square)
Area = Side × Side
A represents Area
S represents Side
Always remember that the answer of a question that is looking for the area of a 2D shape is always squared. (Let x represent the answer and cm as the example of unit of measurement: x cm²)
I hope this helps! I'm sorry if it's wrong or too complicated.
15y^2-15y+2y+7-2y^2+4
Answer:
13 y^2 - 13 y + 11
Step-by-step explanation:
Simplify the following:
15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7
Grouping like terms, 15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7 = (15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4):
(15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4)
15 y^2 - 2 y^2 = 13 y^2:
13 y^2 + (-15 y + 2 y) + (7 + 4)
2 y - 15 y = -13 y:
13 y^2 + -13 y + (7 + 4)
7 + 4 = 11:
Answer: 13 y^2 - 13 y + 11
write the slope intercept form of the equation of each line
Answer:
#2 y=3/2x-3 #4 y=3/1x-5
Step-by-step explanation:
y=mx+b
b=y-intercpet
where on the why axis does it touch?
m=slope
rise over run
slants right positive
slants left negative
25 points
An atom is composed of protons (+1 charge), neutrons (0 charge), and
electrons (-1 charge). An atom has a neutral charge (total charge
o).Another ion has a charge of -4. How can this ion become neutral?
4 protons and 4 electrons
4 neutrons
4 protons
electrons4
Clear selection
Answer:
4 protons
Step-by-step explanation:
because protons are positive and the ion has a negative charge
Find the next 3 terms. J30, J31, A31, S30
Answer:
Next 3 terms 031, N30, D31
Step-by-step explanation:
J30, J31, A31, S30
The above series represent the
first letter of the month and the days in it
J30= June which have 30 days
J31= July which has 31 days
A31= August which have 31 days
S30= September which have 30 days
30 days hath September, April, June and November. All the rest have 31 except February alone which has but 28 or 29 days
The next 3 terms of the series J30, J31, A31, S30 are 031, N30, D31
I dug a hole that was 16 feet deep. My dog came and put 8 feet of dirt back into the hole but then my husband put 5 feet of dirt back into the hole. What integer represents the depth of the hole?
Answer:
3 feet
Step-by-step explanation:
Initial depth = 16 feet
Then:
16 - 8 - 5= 8 - 5 =3 feet depth left