Answer: the answer is b
Step-by-step explanation:
Tara and Julia run a race Julia takes 42 seconds to run the race she is seven seconds faster than Tara how many seconds does Tara take
Answer:
49 seconds
Step-by-step explanation:
42+7=49
Answer:
35 seconds
Step-by-step explanation:
The graph of y =[tex]\sqrt[]{x}[/tex]nis transformed as shown in the graph below. Which equation represents the transformed function?
Answer:
[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]
Step-by-step explanation:
Parent function:
[tex]y = \sqrt{x}[/tex]
The properties of the parent function are:
Starts at the origin, so y-intercept is at (0, 0)Domain: x ≥ 0Range: y ≥ 0As x increases, y increasesFrom inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.
The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.
Translations
For a > 0
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
Therefore:
Reflected in the x-axis: [tex]-f(x)=-\sqrt{x}[/tex]
Then translated 2 units up: [tex]-f(x)+2=-\sqrt{x}+2[/tex]
So the equation that represents the transformed function is:
[tex]y=-\sqrt{x}+2[/tex]
Question 1
swere
>
Find the equation for the line that passes through (2, 8) that has slope 4. Give your answer in point-slope
form. You do not need to simplify.
Answer:
The point-slope form is y - 8 = 4(x - 2)
Step-by-step explanation:
Given:
slope = 4passes through (2, 8)the point-slope form is y - y1 = m(x - x1)
(x1, y1) is a known pointm is the slope of the line(x, y) is any other point on the lineHence the point-slope form is y - 8 = 4(x - 2)
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What is the difference? startfraction x over x squared minus 16 endfraction minus startfraction 3 over x minus 4 endfraction startfraction 2 (x 6) over (x 4) (x minus 4) endfraction startfraction negative 2 (x 6) over (x 4) (x minus 4) endfraction startfraction x minus 3 over (x 5) (x minus 4) endfraction startfraction negative 2 (x minus 6) over (x 4) (x minus 4) endfraction
The difference of the fractions as given in the task content is; (4-2x) / (x²-16).
What is the difference of the two fractions?According to the task content, the fractions whose difference is to be evaluated are as indicated below;
[tex] \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} [/tex]
Hence, the LCM of the denominators of both fractions can be evaluated as;
x -3(x+4)/(x²-16).
(4-2x) / (x²-16)
Hence, the difference of the two fractions is; (4-2x) / (x²-16).
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On a number line, 1.84 would be located ______. Choose all answers that make a true statement.
1.84
《--|----|----|----|----|----|----|----|----|----|--》
A. between 1.74 and 1.94
B. to the left of 1.85
C. to the right of 1.83
D. between 1 and 2
Answer:
All answers are correct.
Step-by-step explanation:
A. 1.84 is between 1.74 and 1.84.
B. 1.84 < 1.85. Lower values go to the left.
C. 1.84 > 1.83. Higher values go to the right.
D. 1.84 is between 1.0 and 2.0.
The length of a rectangular field is 4 meters less than 5 times the breadth of the hall. What is the length, if the breadth is b meters?
Which of the following statements is false?
In quadrilateral PQRS, ∠P and ∠S are opposite angles.
please help!! i’lol give brainliest
Answer:
×=20
Step-by-step explanation:
180-110=70
70+70=140
180-140=40
40÷2=20
Answer:
x = 20°
Step-by-step explanation:
110° and the interior angle of the triangle are a linear pair and sum to 180°
interior angle + 110° = 180° ( subtract 110° from both sides )
interior angle = 70°
the larger triangle is therefore isosceles, 2 base angle are congruent, then
2x = 180° - 140° = 40° ( sum of angles in Δ is 180° )
divide both sides by 2
x = 20°
What similarities exist between the operations on polynomials and the operations on functions?
A function assigns the value of each element of one set to the other specific element of another set.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.
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In the first picture can you please answer all of them in order I'm not sure if my answers are correct.
The number of cookies packs needed if the treasurer buys 1 package of brownies bites is 5 packs
EquationTotal attendance = 75 peopleCookies in each pack = 12Brownies in each pack = 15Number of cookies pack = cNumber of brownies pack = b15b + 12c = 75
If 1 package of brownies is bought
15b + 12c = 75
15(1) + 12c = 75
15 + 12c = 75
12c = 75 - 15
12c = 60
c = 60/12
c = 5 packs
It is a reasonable value in this contextIf 9 packages of brownies are bought
15b + 12c = 75
15(9) + 12c = 75
135 + 12c = 75
12c = 75 - 135
12c = -60
c = -60/12
c = -5 packs
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20 points please!!! helpp with functions and average rate of change
Answer:
option C.
Step-by-step explanation:
If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.
The equation for average rate of change is -
Δx/Δf =
f(x2) - f(x1) / x2 - x1
Answer:
C k(x)
Step-by-step explanation:
The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:
[tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]
__
simplificationHere, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.
amount of changeA. j(2) -j(0) = 3(1.6²) -3 = 4.68
B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5
C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change
D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5
solutionThe function k(x) has the greatest average rate of change over the interval [0, 2].
Antonio and his two brothers equally shared the cost of a new CD with a list price of $18. They
received a 20% discount off the list price and paid 8.25% sales tax on the discounted price.
Find the approximate amount that each of the 3 brothers paid toward the cost of the CD.
A. $4.80
B. $5.20
C. $6.50
D. $15.59
Answer:
B. $5.20
Step-by-step explanation:
18 decrease 20% =
18 × (1 - 20%) = 18 × (1 - 0.2) = 14.4
14.4 increase 8.25% =
14.4 × (1 + 8.25%) = 14.4 × (1 + 0.0825) = 15.588
15.588/3 = 5.196
Which table correctly identifies the sample space of spinning the spinner and then selecting a card?
The table that correctly identifies the sample of spinning the spinner and then selecting a card is Option A.
What is a sample?A sample is a random element that belongs to a population. Another way to state it is that, it is a set of all the outcomes that are possible from a given set of events.
What is the explanation for the above?Table A accurately depicts each potential result. Along the column on the left is where you'll see the card outcomes.
The spinner's output is shown along the top row. The intersection of the left and top results appears in each cell.
For instance, row 1, and column 3 include "red, purple" to show that you received a card with the color "purple" and the color "red" on the spinner.
The labels on each cell in table A are accurate. At least one cell in the other tables (B, C, and D) contains an incorrect label.Table B's middle cell in the top row reads "blue, green" when it should read "blue, purple."Table C's upper left corner reads "green, green" when it should be "green, purple."In the bottom middle cell of Table D, "blue, blue" appears where "blue, green" should. Since there isn't a blue card, it is impossible to say "blue, blue."We can rule out options B through D using the three things outlined above.Learn more about samples at;
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Chloe would like to join a club for dancing entrance fee is $20.00 and will be charged $35.00 per month. Chloe would like to know cost for each month. Write and equation indicating the total cost of dancing lessons
Which best describes the data set? it is nonlinear because the ""total houses built"" column does not increase at a constant additive rate. it is nonlinear because the ""months passed"" column does not increase at a constant additive rate. it is nonlinear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" does not show a constant rate of change. it is linear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" shows a constant rate of change.
Answer :C)It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.
:) hope you have a great day!
Which equation can be used to solve for x in the following diagram?
Proving Vertical Angles Are Congruent
Answer:
Vertical angles are always congruent
Step-by-step explanation:
Answer:
Statement
Measure of angle 2 and 3 are a linear pair and
Reason
Definition of linear pair
Step-by-step explanation:
Hook me up with a 5 star and a Thanks :)
The measure of an angle is 42.1°. What is the measure of its complementary angle?
Answer:
47.9°
Step-by-step explanation:
complementary angles are two angles that add up to 90° [90 degrees]
so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90
we can use subtraction to find this value:
90 - 42.1 = 47.9
So, the complementary angle to the angle 42.1° has a measure of 47.9°
hope this helps, have a lovely day!! :)
You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.
⇢ 90° - 42.1°
⇢ 47.9
a women is 34 years older than her dauhter eiht years ago she was 3 times as old as her daughter what is the age of her daughter now?
Answer:
The daughter is 14 years old
Step-by-step explanation:
34＋8＝42
42÷3=14
A randomly generated list of integers from 1 to 5 is being used to simulate an event, with the numbers 1 and 2 representing a success. What is the estimated probability of a success?
A.50%
B.30%
C.40%
D.20%
factorise the following expressions:
a) 14w + 21
b) 27x+18
Step-by-step explanation:
a) 14w + 21
- Factor out 7 from the expression
7 (2w + 3)
b) 27x + 18
- Factor out 9 from the expression
9 (3x + 2)
Hi!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
#1 7(2w+3)
#2 9(3x+2)
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
We need to factor these two expressions.
[tex]\twoheadrightarrow\sf 14w+21[/tex] and [tex]\twoheadrightarrow\sf 27x+18[/tex]
For now let's focus on the first expression.
Note that both terms, 14w and 21, have something in common.
In fact, they have 7 in common. So we factor it out by dividing 14w and 21 by 7.
[tex]\twoheadrightarrow\sf14w\div7=2x\\\twoheadrightarrow\sf21\div7=3[/tex]
[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they are positive
[tex]\twoheadrightarrow\sf 2w+3[/tex]
[tex]\bullet[/tex] Put parentheses around 2w+3
[tex]\twoheadrightarrow\sf (2w+3)[/tex]
[tex]\bullet[/tex] Put7 outside the parentheses
[tex]\twoheadrightarrow\sf7(2w+3)[/tex]
[tex]\bullet[/tex] Great job! We factored the expression
__________________________________________________________
This problem can be solved the same way!
This time, both terms have a 9 in common.
[tex]\twoheadrightarrow\sf 27x+18[/tex]
So we divide both terms by 9.
[tex]\twoheadrightarrow\sf 27x\div9=3x\\\twoheadrightarrow\sf18\div9=2[/tex]
[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they're positive
[tex]\twoheadrightarrow\sf 3x+2[/tex]
[tex]\bullet[/tex] Next, put parentheses around 3x+2 and put 9 outside the parentheses
[tex]\twoheadrightarrow\sf 9(3x+2)[/tex]
[tex]\bullet[/tex] Great job! We factored both expressions
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
--
3x+4y=24 ,4x+3y=22 simultaneous equations simultaneous equ
Answer:
x=64
y=54
Step-by-step explanation:
3x+4y=24 4(24-4y\3)+3y=22
x=24-4y/3 96-12y\3+3y=22
x=24-4(54)/3
x=-64 96/3-22=3y/3
y=54
The amount of weight a truck can hold is limited to 1200 pounds. If you weigh 165 pounds and each brick weighs 3 pounds, how many bricks, b, can you
haul?
Answer:
max weight truck can hold = 1200 pounds
your weight. 165 pounds
1200 - 165
1035 pounds left
3 pounds --- 1 brick
1035 --- ?
1035 / 3
345 can haulYou can haul 345 bricks in the truck.
How many bricks, b, can you haul?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
From the given information, we have:
The amount of weight a truck can hold is limited to 1200 pounds.
You weigh 165 pounds and each brick weighs 3 pounds.
Number of bricks you can haul, b.
Thus, we can say:
Your weight + (Weight of each brick * Number of bricks) ≤ Total weight capacity of the truck
165 + (3 * b) ≤ 1200
3b ≤ 1200 - 165
3b ≤ 1035
b ≤ 1035/3
b ≤ 345
Therefore, you can haul 345 bricks in the truck.
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PLEASE HELP. FUNCTIONS AND RELATIONS. PROVIDE ANSWER OPTION A,B,C OR D? THANKS!!
Step-by-step explanation:
please mark me as brainlest
If the triangles above are reflections of each other, then BC = to
Answer:
DF
Step-by-step explanation:
Paint a picture in your head reflecting the triangle. Just hold A and flip it so A = E , D = B
Another way to write g(h(x)) is
(gOh)(x)
(hog)(x)
Answer:
A. Another way to write g(h(x)) is (g×h)(x)
Step-by-step explanation:
Hope this helps!
If not, I am sorry.
what is the factor each expression of x2 - 2x
Answer:
x(x - 2)
Step-by-step explanation:
x² - 2x ← factor out x from each term
= x(x - 2)
What are the solutions, if any, of the equation x2−25=−7?
Answer:
[tex]x=\pm3\sqrt{2}[/tex]
Step-by-step explanation:
1) Add 25 to both sides.
[tex]x^2 = -7 + 25[/tex]
2) Simplify -7 + 25 to 15.
[tex]x^2=18[/tex]
3) Take the square root of both sides.
[tex]x=\pm18[/tex]
4) Simplify [tex]\sqrt{18}[/tex] to [tex]3\sqrt{2}[/tex].
[tex]x=\pm3\sqrt{2}[/tex]
if three hard drives are using 132 5/8 watts, what is the number of watts used per hard drive?
1. 44 7/24 watts
2. 42 5/24 watts
3. 42 7/24 watts
4. 44 5/24 watts
whoever answers correctly i will give brainliest.
132/3 = 44
5/8 / 3 = 5/8 x 1/3 =5/24
answer: 4. 44 5/24 watts
Answer:
[tex]\sf 4. \quad 44\frac{5}{24}\:\:watts[/tex]
Step-by-step explanation:
Given information:
3 hard drives are using 132 5/8 wattsTo find the number of watts used per hard drive, divide the total amount of watts by 3.
Convert the mixed number into an improper fraction:
[tex]=\sf 132 \frac{5}{8}[/tex]
[tex]\sf =\dfrac{132 \times 8+5}{8}[/tex]
[tex]\sf =\dfrac{1061}{8}[/tex]
Divide by 3:
[tex]=\sf \dfrac{1061}{8} \div 3[/tex]
[tex]\sf =\dfrac{1061}{8} \times \dfrac{1}{3}[/tex]
[tex]\sf =\dfrac{1061 \times 1}{8 \times 3}[/tex]
[tex]\sf =\dfrac{1061}{24}[/tex]
Convert back into a mixed number:
[tex]\sf =\dfrac{1061}{24}[/tex]
[tex]\sf =\dfrac{1056+5}{24}[/tex]
[tex]\sf =\dfrac{1056}{24}+\dfrac{5}{24}[/tex]
[tex]= \sf 44\frac{5}{24}[/tex]
Therefore, the number of watts used per hard drive is [tex]\sf 44\frac{5}{24}[/tex] watts.
Find the value
of each variable.
Answer:
y=37 degrees(vertical angles)
x=180-37(linear pair)=143 degrees
z=143 degrees(vertical angles)
Hope it helps!
Answer:
x = 180° - 37° = 143°
y = 37°
z = 180° - 37° = 143°
