Answer:
a is a dilation in the y axis by a factor of a, b is dilation in the x axis by a factor of 1/b, + c is a translation c units to the left and d is a translation d units up.
Step-by-step explanation:
Please help I will mark brainliest for correct answers!
Answer:27.5
Step-by-step explanation:
Answer:
B. 27.5
Step-by-step explanation:
37 is the Q2, which is the median,
Q1 is 27 + 28 / 2 = 27.5
Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3
Answer:
the answer is X<3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Henry has quarters, dimes, nickels and pennies in a coin jar. He says that the total amount of money is two dollars and forty-one cents. He also claims that there are exactly twenty-three pennies. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels. Which equation represents the relationship expressed above?
a. q + d + n = 23
b.q + d + n + 23 = 241
c. 25q + 10d + 5n + 23 = 2.41
d.25q + 10d + 5n + 23 = 241
Answer: D
Step-by-step explanation:
All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)
The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its height. Find the length of the base.
Answer:
The length of the base is 11 meters.
Step-by-step explanation:
The diagram of the triangle is not shown; However, the given details are enough to solve this question.
Given
Shape: Triangle
Represent the height with h and the base with b
[tex]b = 3 + 2h[/tex]
[tex]Area = 22[/tex]
Required
Find the length of the base
The area of a triangle is calculated as thus;
[tex]Area = \frac{1}{2} * b * h[/tex]
Substitute 22 for Area and 3 + 2h for b
The formula becomes
[tex]22 = \frac{1}{2} * (3 + 2h) * h[/tex]
Multiply both sides by 2
[tex]2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h[/tex]
[tex]44 = (3 + 2h) * h[/tex]
Open the bracket
[tex]44 = 3 * h + 2h * h[/tex]
[tex]44 = 3h + 2h^2[/tex]
Subtract 44 from both sides
[tex]44 - 44 = 3h + 2h^2 - 44[/tex]
[tex]0 = 3h + 2h^2 - 44[/tex]
Rearrange
[tex]0 = 2h^2 +3h - 44[/tex]
[tex]2h^2 +3h - 44 = 0[/tex]
At this point, we have a quadratic equation; which is solved as follows:
[tex]2h^2 +3h - 44 = 0[/tex]
[tex]2h^2 + 11h - 8h - 44 = 0[/tex]
[tex]h(2h + 11) - 4(2h + 11) = 0[/tex]
[tex](h - 4)(2h + 11) = 0[/tex]
Split the above
[tex](h - 4) = 0\ or\ (2h + 11) = 0[/tex]
[tex]h - 4 = 0\ or\ 2h + 11 = 0[/tex]
Solve the above linear equations separately
[tex]h - 4 = 0[/tex]
Add 4 to both sides
[tex]h - 4 + 4 = 0 + 4[/tex]
[tex]h = 0 + 4[/tex]
[tex]h = 4[/tex] ---- First value of h
[tex]2h + 11 = 0[/tex]
Subtract 11 from both sides
[tex]2h + 11 - 11 = 0 - 11[/tex]
[tex]2h = 0 - 11[/tex]
[tex]2h = -11[/tex]
Divide both sides by 2
[tex]\frac{2h}{2} = -\frac{11}{2}[/tex]
[tex]h = -\frac{11}{2}[/tex] ------ Second value of h
Since height can be negative, we'll discard [tex]h = -\frac{11}{2}[/tex]
Hence, the usable value of height is [tex]h = 4[/tex]
Recall that [tex]b = 3 + 2h[/tex]
Substitute 4 for h
[tex]b = 3 + 2(4)[/tex]
[tex]b = 3 + 8[/tex]
[tex]b = 11[/tex]
Hence, the length of the base is 11 meters
Round the numbers to estimate the quotient.
29 1/5 ÷ 4 6/7
Nhich numbers should be used?
Answer:
≈ 5.8
Step-by-step explanation:
Step 1: Round the fractions
29 1/5 = 146/5 = 29.2 ≈ 29
4 6/7 = 34/7 = 4.85714 ≈ 5
Step 2: Divide
29/5 = 5.8
The answer is under
Does anyone know how to do all of this
Answer:
price paid of speakers= £40.5
price paid of headphones=£ 5.6
price paid of book=£6.65
price paid of mobile phone=£42
price paid of mouse=£ 15.75
price paid of DVD=£11.05
solution,
1. Cost of speakers:
Discount percent=10 %
Marked price=£45
discount amount= discount % of MP
=10% of 45
=£4.5
Selling price= MP - discount amount
=£45-£4.5
=£ 40.5
2. cost of headphones:
discount amount= discount% of MP
=20% of 7
=£1.4
Selling price= MP- Discount amount
=£7-£1.4
=£ 5.6
3. cost of books:
discount amount= discount percent of MP
= 30% Of 9.50
=£ 2.85
selling price= MP- Discount amount
= £ 9.50-£2.85
=£ 6.65
4. cost of mobile phone:
discount amount= discount% of MP
=40% of 70
=£ 28
selling price= MP- Discount amount
=£70-£28
=£ 42
5. cost of mouse:
discount amount= discount% of MP
= 25% of 21
=£ 5.25
selling price= MP- Discount amount
=£21-£5.25
=£ 15.75
6. cost of DVD:
discount amount= discount % of MP
= 15% of 13
= £ 1.95
selling price= MP- discount amount
=£ 13 -£ 1.95
=£ 11.05
Hope this helps...
Good luck on your assignment..
Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1
Answer:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
Step-by-step explanation:
In the figure attached, the question is shown. The function:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.
The roots of x² + 3x - 4 are -4 and 1
(-4)² + 3(-4) - 4 = 01² + 3(1) - 4 = 0Then, x² + 3x - 4 = (x + 4)(x - 1)
The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.
The function can be simplified as follows:
[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]
[tex]\frac{2}{x+4}[/tex]
Then, it has a removable discontinuity at x = 1
Answer:
D
Step-by-step explanation:
Find the area of the triangle. a) 225 units2 b) 75√3 units2 c) 150√3 units2 d) 27.5√3 units2
Answer:
Thus, area of triangle is [tex]225/\sqrt{3}[/tex]
Step-by-step explanation:
Area if triangle is given by 1/2( base*height)
Given
Height = 15 units
also one angle is given as 30 degrees
we know Tan of any angle is ratio of perpendicular and base
[tex]tan\alpha = perpendicular /base[/tex]
lets calculate tan 30 in the given triangle
we will take the smaller triangle containing angle 30 degrees and right angle
perpendicular will be half of base of triangle
base will be side with length 15 units
tan30 = perpendicular/15
[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]
Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]
so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Full full triangle
height = 15 units
base = [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]
9 (y+2) -5 (y-6) = -4y -9 solve for y
[tex]
9y+18-5y+30=-4y-9 \\
8y+57=0 \\
y=-\frac{57}{8}=-7.125 \\
[/tex]
Hope this helps.
Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Step-by-step explanation:
First off, Let's Simplify!
[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]
Next, Let's Combine Like Terms!
[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]
~~~~~~~~~~~~~~~~~~~~~~~
[tex]4y + 48 = -4y - 9[/tex]
Now, Let's Isolate the Variable!
[tex]8y + 48 = -9[/tex]
[tex]8y = -57[/tex]
Final Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Hope that helps and maybe earns a brainliest!
What is the complete factorization of the polynomial below?
x^3 - 3x^2 + x-3
O A. (x-3)(x + 1)(x - )
O B. (x-3)(x- )(x-1)
O C. (x+3)(x-)(x-1)
O D. (x+3)(x+)(x-)
Answer:
(x-3)(x+i)(x-i)
Step-by-step explanation:
khan
The complete factorization of the polynomial is A = ( x + i ) ( x - i ) ( x - 3 )
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = x³ - 3x² + x - 3 be equation (1)
On simplifying , we get
A = ( x³ - 3x² ) + ( x - 3 )
Taking x² as the common term , we get
A = x² ( x - 3 ) + ( x - 3 )
Now , on factorizing the equation , we get
A = ( x² + 1 ) ( x - 3 )
where the value of ( x² + 1 ) = x² - i²
So , A = ( x² - i² ) ( x - 3 )
A = ( x + i ) ( x - i ) ( x - 3 )
Therefore , the value of A is ( x + i ) ( x - i ) ( x - 3 )
Hence , the factorized equation is A = ( x + i ) ( x - i ) ( x - 3 )
To learn more about factorizing click :
https://brainly.com/question/804076
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Which is an equation of a direct proportion?
A.y=1/3x−2
B.y=3/x
C.y=−3x+4
D.y=−3x
Step-by-step explanation:
As someone has thankfully answered your question. I'll just try to explain that concept to you.
In direct proportion, as the first variable increases or decreases, the second variable also increases or decreases. In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.
So yes the answer is D
y = -3x
Answer:
D
Step-by-step explanation:
y = -3x
What is a solution in math?
A solution is an assignment of values to the unknown variables that makes the equality in the equation true.
Answer:
what the variable is equal to
Step-by-step explanation:
for example, in a equation like 1x = 2x/2 the solution could be x=1
When constructing parallel lines, how can you verify the lines constructed are parallel?t is being constructed based on the markings in the following diagram?
Answer:
You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.
Step-by-step explanation:
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
Which of the following ratio is equivalent to this ratio: 4:5
1)8:5
2) 8:16
3) 8:10
4) 2:3
Answer:
3) 8:10
Step-by-step explanation:
You can simply multiply the entire ratio by 2 to get your answer:
2(4:5)
2(4):2(5)
8:10
2 3 8 63 what number is next
Answer:
The answer is 3968
63 squared= 3969
3969-1 = 3968
find the area of the figure below. round your answer to the nearest tenth
Step-by-step explanation:
Area 1 = the rectangle
8×3=24cm²
Area 2= semi circle
3.14r² 314/100×4×4 = 50.24cm²
add. 24+50.24 = 74.24cm² ( 10th)
= 74.2find clarissa salary when she sells $1700 worth of merchandise.
Answer:
361.25
Step-by-step explanation:
first subtract her sales
900 - 500 equals 400
next subtract her earnings
489-405= 85
next divide the remainder of her earnings by the remainder of her sales
85/400=.2125
finally multiply this by 1700
0.21 to 5 * 1700 equals 361.25
Please answer this question now
Answer:
The coordinates of C are (2,2)
5x+2y=57 what is x and y equal to?
ffefefertjuylijhq DS3NUFHUFH4UFUFHUFUEFNUEFNUEFN
Draw a model to represent the ratio 1 to 3. Describe how to use the model to find an equivalent ratio. Please help I'm really stuck.
Answer: See below
Step-by-step explanation:
Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table
1 2 3 4 5 6 7 8 9 10......
3 6 9 12 15 18 21 24 27 30......
We see that in each set of numbers the 2nd number is 3 times the first number.
If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.
Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line connects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °
Answer:
[tex]mGH=80^\circ[/tex]
Step-by-step explanation:
Circle F and J are congruent.
[tex]\angle DFE \cong \angle GJH[/tex]
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
[tex]mGH=\angle DFE = 80^\circ[/tex]
The measure of arc GH is 80 degrees.
Answer:
Arc GH=80°
Step-by-step explanation:
Edge 2020
Lauren opened a lemonade stand on her street. It costs her $8.00 to buy the supplies each day, and she sells lemonade for $2.50 a cup. If she wants to make at least $175.00 in profits (sales - expenses) each day, what is the minimum number of cups of lemonade Lauren needs to sell? Input your answer as a whole number.
Answer: 74 Cups
Step-by-step explanation:
What is the question asking?
The question is asking for the minium number of cups Lauren needs to sell
Total in profits they need to make?
They need to make 183$ because 175 + 8 = 183
183 / 2.5 = 73.2
because we need to sell at least 183$ worth we need to sell 74 cups or else we will not be making it all the way there.
<!> Brainliest would be appreciated! <!>
Given that [Image Display]
What is the domain of the function f ?
a.
only positive integers
c.
only negative integers
b.
All non zero real numbers.
d.
All real numbers including zero
Answer:
The answer is option D.
All real numbers including zero
Hope this helps
Answer:
all non zero real numbers is the answer to the question.
this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers
PLEASE HELP IM STUCK
Answer:
Vertex: (0, 12)
Direction: Upwards
Step-by-step explanation:
Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).
Which algebraic expression represents the phrase below?
five times the sum of a number and eleven, divided by three times the sum of the number and eight
5(x + 11) + 3(x + 8)
StartFraction 5 x + 11 Over 3 x + 8 EndFraction
Start Fraction 5 (x + 11) Over 3 (x + 8) EndFraction
5x + 11 + 3x + 8
Answer:
5(x+11)/3(x+8) = 5x+55/3x+24
Step-by-step explanation:
The Answer Happens to be:
c
Which of the following is a solution of the system
x – 2y < 4 and y > – 2x – 5?
1. (1, -4)
2. (-8, 2)
3. (0,0)
4. (-3,0)
Answer:
Option 3.
Step-by-step explanation:
The given inequalities are
[tex]x-2y<4[/tex]
[tex]y>-2x-5[/tex]
If (a,b) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (a,b).
For point (1,-4),
[tex](1)-2(-4)<4\Rightarrow 9<4[/tex] False
[tex]-4>-2(1)-5\Rightarrow -4>-7[/tex] True
Since, first inequality is false for (1,-4) point, therefore (1,-4) is not the solution.
For point (-8,2),
[tex](-8)-2(2)<4\Rightarrow -12<4[/tex] True
[tex]2>-2(-8)-5\Rightarrow 2>11[/tex] False
Since, second inequality is false for (-8,2) point, therefore (-8,2) is not the solution.
For point (0,0),
[tex](0)-2(0)<4\Rightarrow 0<4[/tex] True
[tex]0>-2(0)-5\Rightarrow 0>-5[/tex] True
Since, both of inequalities are true, therefore (0,0) is a the solution.
For point (-3,0),
[tex](-3)-2(0)<4\Rightarrow -3<4[/tex] True
[tex]0>-2(-3)-5\Rightarrow 0>-11[/tex] False
Since, second inequality is false for (-3,0) point, therefore (-3,0) is not the solution.
Hence, option 3 is correct.
a particular dam contains approximately 1,500,000,000,000 cubic feet of water. for a week long spike flood, water was released at a rate of 25,900 cubic feet per second. how much water was released during the flood?
what percentage of the dam was released during the flood?
Answer:
Total released water = 15,664,310,000 cubic feet
Total % of released water = 1.04%
Step-by-step explanation:
Given:
Water capacity = 1,500,000,000,000 cubic feet
Total seconds in a week = 7 × 24 × 60 × 60
Per seconds release amount = 25,900 cubic feet
Computation:
Total released water = 25,900 × 7 × 24 × 60 × 60
Total released water = 15,664,310,000 cubic feet
Total % of released water = 15,664,310,000 cubic feet / 1,500,000,000,000
Total % of released water = 0.0144
Total % of released water = 1.04%
A total of $5900 is invested, part at 11% simple interest and part at 7%. If the total annual return from the two investments is $ 537.00, how much is invested at each rate?
How much was invested at 11% ? $____
Answer:
Step-by-step explanation:
y = 5900 - x
Simple interest = Prt
Simple interest on $x = x * 0.11 * 1 = 0.11x
Simple interest on $ (5900 - x) = (5900 - x) * 0.07 * 1
= (5900 - x) * 0.07
= 5900 * 0.07 - x * 0.07
= 413 - 0.07x
Return from tow investment = $ 537
0.11x + 413 - 0.07x = 537
Add the like terms
0.04x + 413 = 537
Subtract 413 for both sides
0.04x = 537 - 413
0.04x = 124
x = 124 /0.04
x = 3100
y = 5900 - 3100 = 2800
x = $ 3100
y = $ 2800
12 points!
A point located at (3,-2) is translated right 3 units and down 4 units. What are the coordinates of the image?
(0-2)
(6,-6)
(6,2)
(0,-6)
Answer: (6,-6)
Step-by-step explanation: so, the x coordinate before is 3, and traveling right is a positive number. So to find the x coordinate after, add 3 because it is going right 3 units, which is 6. The y coordinate was -2 before. Going down in terms for the y coordinate means negative, or to subtract, so the y coordinate after would be -6, because -2+4=-6
Hope you understand :)
what is the volume of a right trianular prism with the dimesions of 15 11 17
Answer:
1402.5 Cubic Units
Step-by-step explanation:
Volume of a Triangular Prism: V = [tex]\frac{1}{2}bhl[/tex]
b - base
h - height
l - length
15 is the height, 17 is the length, and 11 is the width (assuming which is the base).
[tex]V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5[/tex]
The volume of the prism should be 1402.5 cubic units.