ANSWER
Focus:
[tex](- \frac{1}{4} ,0)[/tex]
Directrix:
[tex]x=\frac{1}{4} [/tex]
EXPLANATION
The given parabola has equation:
[tex] {y}^{2} = - x[/tex]
We compare this to the general equation,
[tex] {y}^{2} = - 4px[/tex]
Comparing the coefficient of x, we have:
-4p=-1
[tex]p = \frac{1}{4} [/tex]
The focus is (-p,0)
[tex](- \frac{1}{4} ,0)[/tex]
The equation of the directrix is
x=p
[tex]x = \frac{1}{4} [/tex]
Answer:
A
Step-by-step ex
only if youre lazy like me to read it, its A
Use the grouping method to factor the polynormial below completely. 10x^3 - 35x^2 + 6x - 21
The polynomial 10x^3 - 35x^2 + 6x - 21 is factored using the grouping method to obtain (2x - 7)(5x^2 + 3).
To factor the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method, we first look for a common factor in each group separately and then factor out the common binomial factor.
Split the polynomial into two groups: (10x^3 - 35x^2) and (6x - 21).
Factor out the greatest common factor from each group: 5x^2(2x - 7) and 3(2x - 7).
Now we have 5x^2(2x - 7) + 3(2x - 7). Since both terms have a common binomial factor of (2x - 7), we can factor this out: (2x - 7)(5x^2 + 3).
So, the factored form of the polynomial 10x^3 - 35x^2 + 6x - 21 using the grouping method is (2x - 7)(5x^2 + 3).
a-b+c=3
a+b+c=7
Find a+c using substitution.
a+c=5. Please look at the attached image to see what I did
What’s This Answer I Need Help I’m struggling with man
Area: 3915
L X W
Perimeter: 264
Add all sides
I don't know what it means by type, sorry
area: 3915 mm
perimeter: 264
type: rectangle
Step-by-step explanation:
to find the area multipluy 87 and 45
to fin perimeter add 87 and 45. then multipluy by 2
Four-fifths of a number is -24. What is the number ?
-20 is the anwser
4*(-24)/5 =-20
Answer: -30
(4/5)x=-24
x=(-24)(5/4)=-6*5=-30
Solve system of equation.
2x+y=10
-2x+2y=5
Answer:
(2.5,5)
Step-by-step explanation:
thats the answer
Answer:
The solution point is (2.5, 5)
Step-by-step explanation:
This is one of the very first steps you need to take in order to solve 2 equations with 2 unknowns. This does not require that you make any adjustments.
2x + y = 10
-2x +2y = 5 Just add. The xs cancel.
3y = 15 Divide by 3
3y/3 = 15/3
y = 5
=========
Now use one of the equations (the top one is easier) to solve for x
2x + y = 10 Substitute y = 5
2x + 5 = 10 Subtract 5
2x +5-5 = 10-5
2x = 5 Divide by 2
x = 2.5
The solution point is (2.5 , 5)
At lunch, 6 friends share 4 pizzas equally. What fraction of a pizza does each friend get? May 5th, 2019. (8:34pm.)
Answer:
each friend would get about 2/3 of a pizza
Step-by-step explanation:
you would take the total amount of pizza (4) and divide it by the friends (6) which would look like this: 4 / 6 = 0.6666 (repeating) which is equal to 2/3
i hope this helps :)
Choose the correct simplification of the expression -5x(4x-6x^2-3)
Answer:
30x^3 -20x ²+ 15x
Step-by-step explanation:
-5x(4x-6x^2-3)= -20x²+30x^3+15x
-5x(4x-6x^2-3) = 30x^3 -20x ²+ 15x
30x^3-20x^2+15x
I think its the answer
a rectangular solid has sides of 7 cm, 9 cm and 11 cm. what is the surface area?
Answer:
7multiply by 9=63
7by11=77
9by11=99
Answer=63+77+99=239
Step-by-step explanation:
Please help !
The point slope form of the equation of the line that passes through -5 -1 and 10 -7 is y+7=-2/5(x-10). What is the standard form of the equation for this line?
A - 2x-5y=-15
B - 2x-5y=-17
C - 2x+5y=-15
D - 2x+5=-17
Answer:
C. 2x +5y = -15
Step-by-step explanation:
You want the form ax +by = c. To get that form, you need to put the x-term on the left (making sure its sign is positive) and the constant on the right.
Multiply by 5:
5y +35 = -2(x -10)
Eliminate parentheses:
5y +35 = -2x +20
Add 2x-35
2x + 5y = -15 . . . . . . corresponds to selection C
_____
Be careful of dashes when writing answers. They can be confused with minus signs.
2. In the figure, what is mLC
50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side
Answer:
50° is the answer since the the circumscribed angle is 1/2 of the arc on the opp side
Step-by-step explanation:
32 lb 12 oz = ____ lb
Answer:
32.75
Step-by-step explanation:
12 oz = 0.75 lbs
0.75 lbs + 32 lbs = 32.75 lbs
Can someone pls tell me the answer to this . I’ll give you the brainly
Answer:
(10^7)y
Step-by-step explanation:
raise 10 to the 7th power
10 ^7
Multiply this and y
10^7 * y
(10^7)y
Mairisa gets $8 per week for an allowance. She saves 25% of her allowance each week. How long will it take Mauritania to save $16. Question :#7
8 weeks
First, find how much money Maurisa saves each week. 25% is the same as 1/4, and 1/4 of 8 is 2, so Maurisa saves $2 each week.
Finally, just divide $16 by $2 per week to find that Maurisa will take 8 weeks to save $16.
The graph of the function is shown. Which inequality represents the domain of the function?
Answer:
x≥-6
Step-by-step explanation:
The domain is every value of x. Since the function does not include any values of x less than -6, x≥-6 is the domain.
The inequality which represents the domain of the function is y>=6 . Hence, option A is correct.
What is the domain of a function?The domain of a function is the set of all possible input values. In other words , we could say the x - values for which valid y-values are obtained.
From the graph, the line depicts , valid y- values starting from -6 and higher.
Hence, the values include ;
-6, -5, -4, .....Therefore, the correct option is A.
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What is the value of x to the nearest tenth?
A)7.2
B)9.2
C)4.8
D)12.0
Answer:your answer is C
Step-by-step explanation:
Nicole opens a savings account with an initial deposit of $5,000. since then, she has never made any other deposits or withdrawals. her savings account earns 4℅ intrest compounded monthly. which equation gives the approximate amount, A(x), she has in her savings account as a function of x, the number of years since her initial deposit?
1. A(x)= 5,000^(0.96x)
2. A(x)= 5,000(0.959)^x
3. A(x)= 5,000 + 0.04x
4. A(x)= 5,000^(1.04x)
5. A(x)= 5,000(1.041)^x
Answer:
Option 5. [tex]A(x)=\$5,000(1.041)^{x}[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=x\ years\\ P=\$5,000\\ r=0.04\\n=12[/tex]
substitute in the formula above
[tex]A=\$5,000(1+\frac{0.04}{12})^{12x}[/tex]
[tex]A=\$5,000(1.041)^{x}[/tex]
A washer and a dryer cost $816 combined. The washer costs $66 more than the dryer. What is the cost of the dryer?
Answer:
$342
Step-by-step explanation:
816/2 = 408
408-66=342
Answer: 342
Step-by-step explanation: you take 816 divide it by 2 (408) then u subtract 66 from that and u get 342. The price of the washer would cost 474 if u wanna add them to check my work.
The dimensions of a box are x, 2x, and 3x. Each dimension is decreased by 2. Calculate the volume of the box.
A) 3x^3-12-8
B)-1x^6
C)6x^3-22^2+24x-8
D)40x^3
Answer:
Correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].
Step-by-step explanation:
Given that the dimensions of a box are x, 2x, and 3x.
Now each dimension is decreased by 2.
Then new dimensions of a box are (x-2), (2x-2), and (3x-2).
Now let's calculate the volume of the box which is given by
Volume = (Length) x (Width) x (Height)
[tex]=(x-2)(2x-2)(3x-2)[/tex]
[tex]=(2x^2-6x+4)(3x-2)[/tex]
[tex]=(2x^2-6x+4)(3x-2)[/tex]
[tex]=6x^3-22x^2+24x-8[/tex]
Hence correct choice is C) [tex]6x^3-22x^2+24x-8[/tex].
how is the slope of a linear function related to the number of zeros for the function
Answer:
there should only be 1 zero for a linear function
Step-by-step explanation:
Answer:
First of all, when we say linear function that it should be taken note that the maximum number of zeroes should be one. The linear equation will not have a zero only if the line it produces is a vertical line and does not pass the origin
Step-by-step explanation:
i hope this helps you let me know if it does
Find three solutions of the equation. y=2x-6
A) (-2,-10), (1,-4), (2,-1)
B) (-2,-10),(1,-4), (0,-6)
C) (0,-6), (3,-2), (-2,-10)
D) (1,-4),), (0,-6), (-1,-9)
Answer:
B
Step-by-step explanation:
put the values of x and y into the equation respectively.
if LHS =RHS then it is a solution
e.g put (-2,-10) into the equation
-10=2(-2)-6
-10=-10
hence is a solution .
or put x value into the equation such as
(-2,-10)
y=2(-2)-6
the ans should be y=-10.As u can see is equal to the solution given.Hence is a solution.
Which statements about the graph of the function y=(1/3)^x are true?
The function is increasing.
The function is decreasing.
The x-intercept is (1, 0).
The y-intercept is (0, 1).
The range of the function is all real numbers.
Answer: B and D
Step-by-step explanation: Just answered on edg.
About the graph of the function option (B) the function is decreasing and option (D) the y-intercept is (0, 1) is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The function is y=(1/3)^x.
Plot this function in the graph as shown below.
From the graph, the y-intercept is (0,1) and the function is decreasing function.
Hence we can conclude that about the graph of the function option (B) the function is decreasing and option (D) the y-intercept is (0, 1) is the correct answer.
Learn more about graph of a function here
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the school put up a new fence the East and West sides were each 12 meters long the North and South sides where each 10 m long how many meters of fencing did they use
Answer:
12+12 for east and west equals 24
10+10 for north and south equals 20
24+20 equals 44
In the end they used 44 meters of fence
Step-by-step explanation:
Answer:
44Step-by-step explanation:
Who can help me out with this
Answer:
x=y+5
Step-by-step explanation:
Step-by-step explanation:
To solve for x in this case, we must first add 5 to both sides, resulting in:
x - 5 + 5 = y + 5
then simplify,
x = y + 5
And boom, you're done!
Michael is organizing 5,272 blocks into bins at the toy store. He needs to put the same number of blocks in each bin without any leftover blocks. How many bins could Michael use for the blocks? A) 3. B) 4. C) 5. D) 9.
B. plz mark brainly
Answer: B) 4 bins
Step-by-step explanation:
The criteria of divisibility are rules that serve to know if a number is divisible by another without having to perform the division.
Divisibility by 3 (or 9)A number is divisible by 3 (or 9) if and only if the sum of its digits is divisible by 3 (or 9).
5,272
5 + 2 + 7 + 2 = 16
1 + 6 = 7 →This number isn't divisible by 3, therefore 5,272 isn't divisible by 3
Divisibility by 5Divisibility by 5 is easily determined by checking the last digit in the number , and seeing if it is either 0 or 5. If the last number is either 0 or 5, the entire number is divisible by 5.
5,272 → the last digit is 2; isn't 0 or 5, therefore 5,272 isn't divisible by 5.
Divisibility by 4The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4
5,272
the last two digits are 72, and 72/4 = 18
72 is divisible by 4, therefore 5,272 is divisible by 4
Since 5,272 is divisible by 4, Michael can use 4 bins to organize the blocks, and he needs to put 5,272/4 = 1,318 blocks in each bin.
Answer: B) 4 bins
[tex]\textit{\textbf{Spymore}}[/tex]
Jorge has $138.22 in his savings account. He deposits $10.75 every week and withdraws $31.68 every four weeks. What will his balance be in 8 weeks?
Answer:
Pretty sure the answer is $160.86
Step-by-step explanation:
you start off by multiplying 10.75 x 8 because that's how much he'll deposit at the end of an 8 week spand.
adding 86+138.22= 224.22
then you subtract 31.68 two times from that as he withdraws 2 times in the 8 weeks, giving you the answer of 160.86.
hope this helps xx have a good day :)
I’m guessing the end total would be $299.08. Somewhere around that number.
I need to know what the answers is
Answer:
The most reasonable answer would be 7.
Step-by-step explanation:
ED is shorter than both EC and CD, and the root of 220 is 11 point something, so it would hae to be 7.
The answer would be 7.
How do I simplify this expression?
Answer:
15i√2
Step-by-step explanation:
5√(-18)
= 5√(-2 x 9)
= 5 x 3 x √-2
= 15√-2
= 15i√2
Answer:
15i[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Require to know [tex]\sqrt{-1}[/tex] = i
Given
5[tex]\sqrt{-18}[/tex]
= 5[tex]\sqrt{9(2)(-1)}[/tex]
= 5 × [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] × [tex]\sqrt{-1}[/tex]
= 5 × 3 × [tex]\sqrt{2}[/tex] × i
= 15i[tex]\sqrt{2}[/tex]
What is the exact area of a circle having radius 7 in.?
Point P (-1, 2) is the center of a circle. The radius of the circle is 3 units. Which point lies on the circle? PLEASE HELP!
Answer:
(2,2), (-1,5), (-3,2), (-1,-1)
Step-by-step explanation:
The radius is the distance from the center of the circle to the outside. So, adding or subtracting 3 from the x-value of the center point will give you a point that lies on the circle. Doing the same to a y-value will as well. However, never add or subtract from both.
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y=-x-1 y=x+3
Answer:
C. (-2, 1)
Step-by-step explanation:
See the attached graph.
The slope of the first line is -1, and its y-intercept is -1.
The slope of the second line is +1 and its y-intercept is +3.
The solution is the point that is common to both lines, (-2, 1).
Answer:
C. (-2, 1)
Step-by-step explanation:
APEX