Explanation:
Let y=3x
To calculate the inverse, interchange
x and y,
x =3 y
MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.
If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.
What is an equilateral triangle?An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.
The given statements are
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
Here, if a triangle is equilateral, then each of its angles measures 60°.
Therefore, option D is the correct answer.
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An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.
Step-by-step explanation:
The equation is given by :
63.25=800r+3.50
Here,
63.25 is the electric company charges
3.5 is an administrative fee
800 is charge per kilowatt hours
r is rate per kilowatt hour
In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.
We can solve it as follows :
63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)
59.75=800r
[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]
PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 monthly house payment. The bank has already preapproved them for a 30-year loan with 5.4% interest. What is the maximum house price John and Kathy can afford?
Answer: $249,300
Step-by-step explanation:
The exact formula would be if I think this is right
PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity
= 1400(1-(1+.054/12)^-360)/(.054/12)
= $249,318.47
which you can round off to, say, $249,300 <------
note:
counterchechecked with a financial calculator
Answer:
239,600
Step-by-step explanation:
Some friends went to dinner. They left a 15% tip. If their meal cost was $28.00, what was the
amount of tip they left?
Answer:
$4.20
Step-by-step explanation:
0.15 x $28.00=$4.20.
10x^2-13x-3 how to factor
Bill can hit a bucket of 32 golf balls in 17 hours.
How much could he hit in 23 hours
17x = 32
x = 1.882
23x = 23 x 1.882 = 43.286 = 43 balls
A runner sprinted for 117 yards (yd). How many feet (ft) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation. ft mi yd 1760 yd 1 mi 3 ft 1 ft 12 in 1 yd Ratios: 1 mi 1760 yd 1 yd 3 ft 12 in 1 ft . in Х 117 yd 1 ft 0 x IK IT LOOKS CONFUSING SO LOOK AT THE PICTURE HELP ME PLEASE!!!!:)
Answer:
117 yd/1 x 3 ft/1 yd = 351 ft
Step-by-step explanation:
[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]
A runner sprinted for 351 feet.
Given that, a runner sprinted for 117 yards (yd).
How to convert yards to feet?To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.
Here, multiply the ratio 117/1 by 3/1.
That is, 117 × 3 =351 ft
Therefore, a runner sprinted for 351 feet.
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What’s 17/5 as a decimal?
Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=
Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
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what is true of BLOOD cells
Answer:
Your blood carries oxygen and nutrients to all of the cells in your body. Blood cells also fight infection and control bleeding. Most blood cells are made in your bone marrow. They are constantly being made and replaced.
Step-by-step explanation:
Hope this helps!
Brainliest please.
Answer: It carries oxygen. Red blood cells also remove carbon dioxide from your body, transporting it to the lungs for you to exhale. Red blood cells are made in the bone marrow. They typically live for about 120 days, and then they die.
What is the relationship between ∠1 and ∠8?
Answer:
Alternate Exterior Angles
Step-by-step explanation:
The relationship between [tex]\angle 1[/tex] and [tex]\angle 8[/tex], are Alternate Exterior Angles, because those two angles are in the outside of the transversal line and they are in opposite sides.
Which equation is not a linear function?
y = x2
y = x + 2
y = 2x
y = x - 2
if i have a 74.23% in math class and i get a 0 on a Summative Assignment, what is my new grade?
Y'all are smart, please help
What is a constraint in math? For what situations would they be useful?
Answer:
Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!
Step-by-step explanation:
Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation
Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.
Answer:
For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms
Step-by-step explanation:
Here, we want to select which of the options must be present in order for factoring by grouping to apply.
The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms
What this mean is that we must have an equal ratio two times
This practically plays out each time we are to factorize quadratic expressions
For example, in the case of
x^2 -12x + 20
This can be written as;
x^2 - 10x - 2x + 20
which can then be written as x(x-10) -2(x -10)
= (x-2)(x-10)
The first two terms have a ratio of ;
x^2/-10x while the last two terms have a ratio -2x/20
Thus, we have -x/10 and -x/10
We can see here that the ratios of both sets are equivalent
Answer:
The ratio of the first two terms must be equivalent to the ratio of the last two terms
while on vacation in washington Dc, the cab ride for the dulles airport to the hotel is 15 miles. the
While on vacation in Washington DC, the cab ride for the Dulles airport to the hotel is 15 miles. The total cost of the cab ride was $25.50. The cabbie charges $1.50 per mile for the entire trip A.
please help me with this wuiz
Answer: Distribute the 10
Step-by-step explanation: PEMDAS (p is parentheses)
A 5000 seat theater has tickets for sale at 26 and 40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of 153800.
Answer:
The number of tickets for sale at $26 should be 3300
The number of tickets for sale at $40 should be 1700
Step-by-step explanation:
Use 2 equations to represent the modifiers within the problem:
[tex]5000 = a + b \\ 153800 = 26a + 40b[/tex]
Now you want to find the point at which the variables are changed to make both equations correct, this can be done by graphing and finding the intersection of both lines.
[tex]5000 = 3300 + 1700 \\ 153800 = 26(3300) + 40(1700)[/tex]
A cell phone provider will allow you to buy a phone over time. They require a $50 initial payment and then charge $25 per month. If this situation were represented by a function, what would be the slope?
50
25
75
0
Answer:
slope is 25 because the equation is y=25x+50
Step-by-step explanation:
heres the official answer
How is -9 + (-4) the same as -9 + 4?
-9 - (-4) is the same as -9 + 4 because subtracting a negative is the same as addition. I'm not quite sure how to represent it with the integer chip model, but basically, taking away -4 from -9 is the same as adding positive 4 to -9.
Perhaps draw the 9 negative chips and place the four negative chips under it, then cross out those that correspond to show that it is increasing in sum?
2 ones and 96 thousandths as a decimal number
Answer:
2.096
Step-by-step explanation:
Which is the simplest form of this algebraic expression?
-(6x + 2y) + 4(2x - y)
Answer:
2x-6
Step-by-step explanation:
The first step is to distribute
The second step is to combine like terms and since its an expression you will not have a solution
12. What is a pronoun?
Answer:
Definition. A pronoun (I, me, he, she, herself, you, it, that, they, each, few, many, who, whoever, whose, someone, everybody, etc.) is a word that takes the place of a noun. In the sentence Joe saw Jill, and he waved at her, the pronouns he and her take the place of Joe and Jill, respectively.
Idk how to do this soooo helppp
Answer:
basically u do the formulas and plug them in.
Step-by-step explanation:
we want to factor the following expression 3x^2-16y^5 which pattern can be used to factor the expression U and V are either constant integers or single variable expressions
Answer: we cant use any patterns
Step-by-step explanation:
7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes
Answer:
a)Robert pay $12 to rent shoes for everyone
b)Cost of each game is 4.5
c)y = 4.5x+12
Step-by-step explanation:
Refer the attached graph
a)How much did Robert pay to rent shoes for everyone ?
y - intercept will give the rent shoes for everyone
y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.
So, from the graph we can see that at x = 0 , y = 12
So, from the graph we can see that the no. of games is 0 . So, Total cost is 12
Thus Robert pay $12 to rent shoes for everyone
b)What was the cost per game at the bowling alley?
So, we are supposed to find the slope
Two pints from graph :
[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]
So, Cost of each game is 4.5
c)Write an equation to represent the situation Number of Gomes
General equation : y = mx+c
So, y = 4.5x+12
3x-5=x+1
Helpppppppppppp
Answer:
your answer is x= 3
Hope this helps!
A group of 80 ants went to collect some honey. 1/2 lost their way and 1/4 got eaten by a passing anteater. How many ants came back?
Answer:
23
Step-by-step explanation:
Marissa sold 32 boxes of cookies for $4.35 each. She spent approximately 24.5% of the money she earned on new shoes and used the rest to buy more boxes of cookies. How much did Marissa's new shoes cost? (plz help)
Pls help me ASAP!!!!!
Answer:
2 4/5
Step-by-step explanation:
You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5
Answer:
It is c, 2 4/5
Step-by-step explanation:
5 goes into 14 2 times with 4/5 left over