Step-by-step explanation:
, it's was helpful to you
[tex]3x - 12 = - 9 \\ x - 4 = - 3 \\ x = - 3 + 4 \\ x = 1 \\ \\ 2x = 4 \\ x = \frac{4}{2} \\ x = 2 \\ \\ x - 5 = - 6 \\ x = - 6 + 5 \\ x = - 1 \\ \\ x + 3 = x - 1 \\ x - x = - 1 - 3 \\ x = - 1 - 3 \\ x = - 4 \\ \\ 7x - 3 = 4 \\ 7x = 4 + 3 \\ 7x = x \\ x = \frac{7}{7} \\ x = 1[/tex]
Identify the parent function that can be used to graph the function f(x)=- 9(x + 5)2.
a. Fx) = x2
c. Fx) = x
b. Fx) = [x]
Please select the best answer from the choices provided
Ο Α
OB
Ос
not sure
Answer:
A. f(x) = x²Step-by-step explanation:
Given function:
f(x) = - 9(x + 5)²This is quadratic function.
The simplest form of a quadratic function is:
f(x) = x²Correct choice is A
what do you mean by Transformation?
HELP PLEASE
Which of the following shows that the quadrilateral with vertices A (3, 1), B(0, 6), C (4,7),
and D (7, 2) is a parallelogram?
Answer:
C
Step-by-step explanation:
15. A lamp is on sale at £22.05 This is a 10% reduction of the normal price. What was the price of the lamp before the reduction?
Answer:
£24.26 (rounded to 2dp) or full answ £24.255
Step-by-step explanation:
find 1% of 22.05= 0.2205
0.2205*10=2.205(10%)
add this to the 90%(£22.05+2.025)= 24.255
=24.26(rounded to 2dp)
The price of the lamp before the reduction will be £24.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The sale price of the lamp = £22.05
This is a 10% reduction of the normal price.
Now,
Let the price of the lamp before the reduction = x
So, We can formulate;
⇒ x - (10% of x) = £22.05
⇒ x - 10x/100 = £22.05
⇒ (100x - 10x)/100 = £22.05
⇒ 90x / 100 = £22.05
⇒ 90x = £22.05 x 100
⇒ 90x = £2205
⇒ x = £2205/90
⇒ x = £24.5
Thus, The price of the lamp before the reduction will be £24.5.
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solve this simultaneous linear equation=X+y=4and2x-y=5
From eq(1)
[tex]\\ \sf\longmapsto x+y=4[/tex]
[tex]\\ \sf\longmapsto x=4-y\dots(3)[/tex]
Put values in eq(2)[tex]\\ \sf\longmapsto 2x-y=5[/tex]
[tex]\\ \sf\longmapsto 2(4-y)-y=5[/tex]
[tex]\\ \sf\longmapsto 8-2y-y=5[/tex]
[tex]\\ \sf\longmapsto 8-3y=5[/tex]
[tex]\\ \sf\longmapsto 8-5=3y[/tex]
[tex]\\ \sf\longmapsto 3y=3[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{3}{3}[/tex]
[tex]\\ \sf\longmapsto y=1[/tex]
Put value in eq(3)
[tex]\\ \sf\longmapsto x=4-y[/tex]
[tex]\\ \sf\longmapsto x=4-1[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
Which of the following functions is graphed below?
15
10
5
-8 -6 -4 -2 0
2
4 6 8
ch
[x® -3,xs 2
A. y =
1x2 +6, x> 2
O B. y -
[x2 -3.x > 2
1x2 +6, 52
O c. y-{X-3,x<2
1x2 +6, xs 2
x < 2
O D. y =
(x² – 3, x<2
(x2 +6, x2 2
___________________A
The function that represents the inequality of the given graph is;
Option A
Graph Inequalities
From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.
Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.
Looking at the options, option A is right and we will prove it thus;
for y = x³ - 3
At x = 2, we see that;
y = 2³ - 3
y = 5
This corresponds with the given equation
For the second curve, for y = x² + 6;
At x = 2, we have;
y = 2² + 6
y = 4 + 6
y = 10
This corresponds with what is given and is thus correct.
Thus, option A is the correct answer
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which of the following represents 10 on a number line
Answer:
don't understand....................
una expresion equivalente a
2(2x+11)-(-5+3x)
Answer:
x+27
Step-by-step explanation:
2(2x+11)-(-5+3x)
Distribute
4x +22 +5-3x
Combine like terms
x+27
Answer:
x + 27
Step-by-step explanation:
Given
2(2x + 11) - (- 5 + 3x) ← distribute both parenthesis
= 4x + 22 + 5 - 3x ← collect like terms
= x + 27
24 is between what integers
Answer:
23 and 25
Step-by-step explanation:
Integers are whole numbers that are either positive, negative, or zero. Fractions and decimals are not integers. Therefore, 24 is between 23 and 25.
Answer:
Positive 23 and positive 25
Step-by-step explanation:
Darias bought 5 school binders that cost $8.00 per
binder. If a back-to-school discount of 40% was
applied to his purchase, and then a 6% sales tax was
added, what was the total cost of the binders?
Answer:
$25.44
Step-by-step explanation:
First, you multiply, 5*8 = $40.00
Then you subtract the discout, 40-40% = $24.00
Lastly, you must add the sales tax, 24+6% = $25.44
The total cost of the binders is $25.44
Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)
3
1
-1
5
Answer:
5
Step-by-step explanation:
This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.
Given: A and B are complementary angles. B and C are complementary angles. Prove: A C
Answer:
see below
Step-by-step explanation:
Complementary means that they add to 90 degrees
<A + <B = 90 given
<B + <C = 90 given
<A + <B = <B + <C substitution property of equality.
<A = <C subtraction property of equality
PLEASE HELP I NEED AN ANSWER QUICK
Answer:
- first option is incorrect
- second option is correct
- third option is correct
- fourth option is correct
Step-by-step explanation:
grammarly xoxo
In this drawing, line p is parallel to line j and line t is perpendicular to ray ab
hope it helps you mark me as a brilliant
if the ordered pairs (x-2,3y+1) and (y+1,x+3) are equal,find x and y
plz help me
Sammy and Hannah are finalists in a cooking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their star ingredient must be. Here are the available cards:
Cabbage
Spinach
Kale
Leeks
Carrots
Turnips
Cabbage
Leeks
Spinach
Carrots
Kale
Turnips
Sammy and Hannah both want to get leeks as their star ingredient. Sammy will draw first, followed by Hannah.
What is the probability that NEITHER contestant draws leeks?
Round your answer to two decimal places.
The probability that neither of them draws the Leeks card is P = 4/6 = 0.667
Here we can assume that all the cards have the same probability of being randomly drawn.
The cards are:
Cabbage Spinach Kale Leeks Carrots TurnipsSo we have 6 cards. We want to find the probability that neither contestant draws the "Leeks" card.
Sammy draws first, the probability of drawing the Leeks card will be equal to the quotient between the number of Leeks cards (one) and the total number of cards (6).
Then the probability of drawing the leeks card is p = 1/6
This means that the probability of NOT drawing the leeks card is:
q = 1 - 1/6 = 5/6.
Now draws Hanna, now there are 5 cards in the deck (because one was already drawn). With the same approach as before, the probability of drawing the Leeks card is p = 1/5, then the probability of NOT drawing the card is:
q = 1 - 1/5 = 4/5.
The joint probability (this is, the probability of both of these events to happen together) is just the product of the individual probabilities.
Then the probability that neither of them draws the Leeks card is:
P = (4/5)*(5/6) = 4/6 = 0.667
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Find the least common multiple of 4 and 10
Answer:
LCM of 4 and 10 is 20
Step-by-step explanation:
yes that is the answer
Answer:
Step-by-step explanation:
Factor 4 and 10 into primes
4: 2 * 2
10:2 * 5
Number of 2s = 2 twos
Number of 5s = 1 five
LCM of 4 and 10 = 4 * 5 = 20
How to solve this plsssss
Answer:
Hope this helps you
Answered by G a u t h m a t h
Find the coordinates of a point that divides the directed line segment PQ in the ratio
5:3.
A) (4,5)
B) (-6, 6)
C) (2, 2)
D) (4,1)
Answer:
C
Step-by-step explanation:
Let the coordinates be (m, n) then by using the section formula we have
m=(5*8+3*(-8))/(5+3)=2
n=(5*(-1)+3*(7))/(5+3)=2
The point is (2,2)
2
50
70
85
96
Christina earned 70 on the test. Describe how the scores of Christina's
classmates compared to Christina's score.
A. about 1/4 scored higher, about 3/4 scored lower
B. about 314 scored higher, about 1/2 scored lower
C. about 3/4 scored higher, about 1/4 scored lower
D. about 1/2 scored higher, about 1/2 scored lower
Reset Selection
Given the five number summary, christina has scored 70 marks which is equal to the median of the test scores, therefore about [tex]\frac{1}{2}[/tex] class scored higher than her and [tex]\frac{1}{2}[/tex] class scored lower than her, making option (d) correct.
The five number summary is the descriptive summary of a data where in you are provided the lowest observation, first quartile, median, third quartile and the maximum observation.
Here, the first quartile is the observation which lies at a point in the ordered data that 25% observations are lesser than it and 75% are greater than it.
the median is the observation which lies at a point in the ordered data that 50% observations are lesser than it and 50% are greater than it.
the third quartile is the observation which lies at a point in the ordered data that 75% observations are lesser than it and 25% are greater than it.
As given in the data,
Christina's marks = 70
median marks = 70
christina's marks = median marks
therefore, by definition of median, about half class scored lower than christina and half more than her.
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The complete question is given below:
Given the five number summary as:
minimum = 2
first quartile = 50
median = 70
third quartile = 85
maximum = 96
Christina earned 70 on the test. Describe how the scores of Christina's
classmates compared to Christina's score.
A. about 1/4 scored higher, about 3/4 scored lower
B. about 314 scored higher, about 1/2 scored lower
C. about 3/4 scored higher, about 1/4 scored lower
D. about 1/2 scored higher, about 1/2 scored lower
HELP!!
Resolve into factors:
8 – 6а – 9a^2 + 27a^3
[tex]\\ \sf\longmapsto 8-6a-9a^2+27a^3[/tex]
[tex]\\ \sf\longmapsto 27a^30-9a^2-6a+8[/tex]
Take 3a common[tex]\\ \sf\longmapsto 3a(9a^2-3a-2)+8[/tex]
Hence donex^4 - x^2 - 2x -1 . solve
Answer:
X⁴–X²–2X –1=0
(X²+X+1)(X²–X–1)=0
[tex]x = - \frac{1 - i\sqrt{3} }{2} \\ x = - \frac{ 1 + i \sqrt{3} }{2} [/tex]
[tex]x = \frac{1 + \sqrt{5} }{2} \\ x = \frac{1 - \sqrt{5} }{2} [/tex]
I hope I helped you^_^
Surface Area of Cylinders
Radius = 10ft
Height = 6ft
The area of most three-dimensional geometric shapes is
A = a · h
Area = area of the base · height of the figure.
In this case, the area of the base is the area of a circle, so a = πr²:
a = 10²π
a = 100π ≅ 314
Now, all we have to do is multiply the area of the base to the height:
A = 100π · 6
A = 600π ← In terms of "π"
A ≅ 1884 ← Rounded answer
HELPPPP MEE IM BEING TIMED
Answer:
4th option
Step-by-step explanation:
The range is the values of y covered by the graph
The lowest value is a solid dot at y = 2, indicating that y can equal 2.
The graph then increases upwards to infinity.
The range is all real numbers greater than or equal to 2
Answer:
all real numbers greater than or equal to 2
Step-by-step explanation:
The range is all the y-values or outputs. That means that the answer is greater than or equal to 2.
Plz explain q22 in detail, and if you could the fastest way to do it.
Answer:
Hello,
Step-by-step explanation:
30°=π/6 (rad)
[tex]L=\theta*R=\dfrac{\pi}{6} *120\\\\=20*\pi\\\\\approx{20*3=60\ (cm)}[/tex]
It takes a word processor 22 minutes to word process and spell check 8 pages. Find how long it takes her to word process and spell check 36 pages.
Answer:
99 minutes
Brainliest, please!
Step-by-step explanation:
22/8 = x/36
11/4 = x/36
36(11)/4 = x
396/4 = x
x = 99
PLEASE HELP
Find the probability of “landing” in the shaded region of the figures below.
Answer:
Hello,
p=0.1024
Step-by-step explanation:
The probability is the ratio of the areas of the 2 circles:
[tex]p=\dfrac{\pi*8^2}{\pi*25^2} =\dfrac{64}{625} =0.1024[/tex]
Answer:
64/625.
Step-by-step explanation:
Probability = area of small circle / area of the large one
= 8^2 / 25^2
= 64/625
3(4p - 2) +3 = 2p - 5
no solution, one solution or infinitely many solutions?
Answer:
3(4p-2) + 3= 2p-5
12p-6 +3 = 2p-5
10p-3=-5
10p=-2
p=-1/5
There is one solution.
hope this helps!
Answer:
one solution
-0.2
Step-by-step explanation:
3(4p - 2) +3 = 2p - 5 Remove the brackets on the left
12p - 6 + 3 = 2p - 5 Combine
12p - 3 = 2p -5 Subtract 2p from both sides
12p - 2p - 3 = -5 Combine
10p - 3 = - 5 Add 3 to both sides
10p = -5 + 3
10p = - 2 Divide by 10
p = - 0.2
find the volume of each figure. Round to the nearest tenth if necessary.
Answer:
3166.7
Step-by-step explanation:
Volume=pi*r^2*h
=pi*12^2*7=3166.7
Answer:
3166.7
Step-by-step explanation:
Volume of a cylinder= pi × radius² × height
3.14 × 12² ×7 = 3166.7
Look at this cylinder:
If the radius and height are doubled, then which of the following statements about its surface area will be true?
We know
[tex]\boxed{\sf \star TSA_{(Cylinder)}=2\pi r(h+r)}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=2\times \dfrac{22}{7}\times 4(8+4)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{176}{7}(12)[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=\dfrac{2112}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(Old\:Cylinder)}=301.7cm^2[/tex]
Now
New Radius=2(4)=8cmNew Height=2(8)=16cm[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=2\times \dfrac{22}{7}\times 8(16+8)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{352}{7}(24)[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=\dfrac{8448}{7}[/tex]
[tex]\\ \sf\longmapsto TSA_{(New\:Cylinder)}=1204.7cm^2[/tex]
So
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{1204.7}{301.7}[/tex]
[tex]\\ \sf\longmapsto \dfrac{TSA_{(New\:Cylinder)}}{TSA_{(Old\:Cylinder)}}=\dfrac{4}{1}[/tex]
[tex]\\ \sf\longmapsto\underline{\boxed{\bf{ {TSA_{(New\:Cylinder)}}:{TSA_{(Old\:Cylinder)}}=4:1}}}[/tex]
Hence our correct option is Option C
