Answer:
9
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
75=75/100=3/4
3/4*b=12
b=12/1*4/3
What ordered pairs are the solutions of the system of equations shown in the graph below?
Answer:
(1,-3) and (4,-6)
Step-by-step explanation:
The solutions are where the linear line intersects the graphed parabola.
Factor using the perfect squares method:
x^2 - 3x + 16
Answer:
what are the answer choice?
Step-by-step explanation:
QUICK PLEASE
42% of £719.24 Give your answer rounded to 2 DP.
Answer:
719.24 is the correct answer
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
[tex]y=\dfrac{1}{4p}(x-h)^2+k[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
[tex](h,k+p)=(6,-4)[/tex]
On comparing both sides, we get
[tex]h=6[/tex]
[tex]k+p=-4[/tex] ...(ii)
Directrix at y=-7. So,
[tex]k-p=-7[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=-11[/tex]
[tex]k=\dfrac{-11}{2}[/tex]
[tex]k=-5.5[/tex]
Putting [tex]k=-5.5[/tex] in (ii), we get
[tex]-5.5+p=-4[/tex]
[tex]p=-4+5.5[/tex]
[tex]p=1.5[/tex]
Putting [tex]h=6, k=-5.5,p=1.5[/tex] in (i), we get
[tex]y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)[/tex]
[tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex]
Therefore, the equation of the parabola is [tex]y=\dfrac{1}{6}(x-6)^2-5.5[/tex].
If you were asked to equate the sides of an equation, how would you do that
Answer:
you would divide an equation from the multiple and then you would simplify the equation for an answer
A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *
Answer: 80 feet
Step-by-step explanation:
We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:
5 * 128 = 8x
640 = 8x
80 = x
Thus, the height of the lighthouse is 80 feet tall.
Help me plz to find product
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you ☺️
find x
(4x - 3) – ( x + 5) = 3(10 - x)
please.....
Answer: 19/3
Step-by-step explanation:
[tex]4x+3-x-5=30-3x\\\\3x-8=30-3x\\\\6x-8=30\\\\6x=38\\\\x=\frac{19}{3}[/tex]
I have a lot of algebra problems. Someone help me even with this one please!
X -Y =44 will represent the number of glasses of ice tea .
find the 9th and 15th terms of the following geometric sequence 2, -4, 8, -16
Step-by-step explanation:
given the geometric sequence 2, -4, 8, -16, ...
a1 = 2
r = -4/2 = -2
find : a9 and a15
solutions:
an = a1. r^(n-1)
=> a9 = 2. (-2)^(9-1)
= 2. (-2)^8
= 2. 2^8
= 2^9
= 512.
=> a15 = 2. (-2)^(15-1)
= 2. (-2)^14
= 2. 2^14
= 2^15
= 32,768
Step-by-step explanation:
Hey there!
The given geometric sequence is: 2, -4, 8, -16.
The;
a1 = 2
Common ratio (r) = T2/T1
= -4/2
= -2
Now;
Use general formula of geometric sequence;
[tex]tn = {a1.r}^{n - 1} [/tex]
Where, "a1" is first term, "n" is no.of terms and "r" is common ratio.
Then;
[tex]t9 = 2 \times { (- 2)}^{9 - 1} [/tex]
or, t9 = 2*256
Therefore, t9 = 512.
Again;
[tex]t15 = 2. { (- 2)}^{15 - 1} [/tex]
or, t15= 2*16384
Therefore, t15 = 32768.
Hope it helps!
what is the y-coordinate of the red point?
The y-coordinate of the red point is -3.
What is the vertex of
y= 3/4x^2+3x+2
Answer:
The vertex is located at (-2,-1)
Step-by-step explanation:
Evan, James, and Burt are fishing in a lake that has 200 fish. They are going to be fishing for three hours. What is the probability that they each will catch 3 fish?
Answer:
The probability that they each will catch 3 fish is 0.000063956
Step-by-step explanation:
The hyper geometric distribution is used to solve this as it has a population, a sample , number of successes for both the population and sample.
Here
Population size= N =200
Sample size= n =9= (3*3)
Number of successes in population = k = 3 hours
Number of successes in sample = x= 3
Applying the hyper geometric distribution
P (x=3) = kCx *(N-k) C (n-x)/ N Cn
= 3 C 3 * 197 C 6/ 200 C 9
=0.000063956
The probability that they each will catch 3 fish is 0.000063956
Can someone help me with this math homework please!
Answer:
11.2
Step-by-step explanation:
[tex]p =\frac{160.16}{14.3}=\frac{160.16*10}{14.3*10}\\\\p = \frac{1601.6}{143}\\\\[/tex]
p = 11.2
Answer:
The person above me is correct I just did the work and I got the same answer as them :)
Step-by-step explanation:
a therate ticket cost £63 plus a booking fee of 3%
what is the total price of the ticket
Answer:
Total amount of ticket free = £64.89
Step-by-step explanation:
Given:
Cost of theater ticket = £63 plus
Booking fee of theater ticket = 3%
Find:
Total amount of ticket free
Comutation:
Total amount of ticket free = Cost of theater ticket + Booking fee of theater ticket
Total amount of ticket free = 63 + 3%
Total amount of ticket free = 63 + 1.89
Total amount of ticket free = 64.89
Total amount of ticket free = £64.89
Please help me with this
Answer:
52 in^2
Hope this helps!
Find the area of the parallelogram
Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
Someone help me please !!
Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.
Step-by-step explanation:
In a college of 400 students, 45% are girls. Of the boys, 30% are football
players. How many boys are football players?
Someone please help me ASAP! Worth 10 points
Answer:
(-1,-1)
Step-by-step explanation:
Step 1 identify coordinates of A
A is located at ( -3 , -3 )
Step 2 apply dilation by multiplying the x and y values of coordinate A by the scale factor
Given:
scale factor = 1/3
Coordinates of A: ( -3 , -3 )
* Multiply the x and y values by 1/3 *
( -3 * 1/3 , -3 * 1/3 ) -------> ( -1 , -1 )
The new coordinates would be (-1,-1)
multiply the coordinates of A by the scale factor given
To maintain a balanced diet, ensure that your food contains minimal amounts of certain ingredients. Which ingredient is missing in the sentence below?
One’s diet should include small amounts of fat, , and sugar.
Step-by-step explanation:
i think minerals and vitamins since they are micro nutrients
A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ
Here is the answer-
Neither angle measure nor segment length is preserved. Here's why-
This sequence includes a vertical stretch, which is neither a rigid transformation nor a dilation.
Answer:
I don't understand this
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 off his entire purchase at checkout, so the tickets would cost him $215 before tax. What was the original price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
Hope it helps!
Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage. How many months will it take for the second phone to be less expensive than the first phone?
The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is
.
The solution to the inequality is
.
Sal’s mother would have to keep the second cell phone plan for at least
months in order for it to be less expensive.
Answer:
It will take 13 months for the second phone to be less expensive than the first phone.
Step-by-step explanation:
Since Sal is trying to determine which cell phone and service plan to buy for his mother, and the first phone costs $ 100 and $ 55 per month for unlimited usage, while the second phone costs $ 150 and $ 51 per month for unlimited usage, to determine how many months will it take for the second phone to be less expensive than the first phone, the following calculation must be performed:
100 + (55 x 10) = 100 + 550 = 650
150 + (51 x 10) = 150 + 510 = 660
100 + (55 x 12) = 100 + 660 = 760
150 + (51 x 12) = 150 + 612 = 762
100 + (55 x 13) = 100 + 715 = 815
100 + (51 x 13) = 150 + 663 = 813
Therefore, it will take 13 months for the second phone to be less expensive than the first phone.
Answer:
1) 100 + 55x > 150 + 51x
2) x > 12.5
3) 13
Step-by-step explanation:
Got it right on Edge :D
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?
Answer: 7 hr
Step-by-step explanation:
Given
Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]
Speed of Emily [tex]v_e=12\ mph[/tex]
Speed of Kylie [tex]v_k=8\ mph[/tex]
Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]
Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]
[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]
They will meet after 7 hour.
52.3 X 16.0 please help me thank you so much !
Answer:
836.8
Step-by-step explanation:
Which of the following graphs represents the equation y-2 = 3(x - 1)?
Answer:
Graph B
Step-by-step explanation:
The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.
Find the value of `x´ in the given parrallelogram.
Step-by-step explanation:
=> (3x-12) =(x+6)
or,3x - x = 6 + 12
or,2x = 18
or,x = 18/2
•: x=9#
Which points are coplanar and non ol linear
Answer:
COPLANAR:Point A, C and D
NON- COLLINEAR:Point B
Step-by-step explanation:
[tex]{hope it helps[/tex]
Darcy's harvests 8 3/4 acres of corn every 5/6 hours. How much corn can she collect in a hour. ? =Amount of acres of corn done in a hour.
Answer:
Step-by-step explanation:
Acres of corn harvested : time taken = 8 3/4 : 5/6
How much corn can she collect in a hour. ?
Let
x = Acres of corn harvested
Acres of corn harvested : time taken = x : 1
8 3/4 : 5/6 = x : 1
35/4 : 5/6 = x : 1
35/4 ÷ 5/6 = x/1
35/4 × 6/5 = x/1
35*6/4*5 = x/1
210/20 = x/1
210 * 1 = 20 * x
210 = 20x
x = 210/20
= 10 1/2 acres
x = Acres of corn harvested = 10 1/2 acres
