Answer:
(-1, -3)Step-by-step explanation:
[tex](y-k)=a(x-h)^2,\ a\neq0[/tex]
[tex](a\pm b)^2=a^2\pm2ab+b^2\qquad(*)[/tex]
We have
[tex]y=-4x^2-8x-7[/tex]
[tex]y=-4x^2-4(2x)-4(1)-3[/tex]
distribute
[tex]y=-4(\underbrace{x^2+2x+1}_{(*)})-3[/tex]
use (*)
[tex]y=-4(x+1)^2-3[/tex]
add 3 to both sides
[tex]y+3=-4(x+1)^2[/tex]
[tex]y-(-3)-4\bigg(x-(-1)\bigg)^2[/tex]
the vertex
[tex](-1;\ -3)[/tex]
PLEASE HELPPPPPPPPPPPPP 3x+2=8
Answer:
x=2
Step-by-step explanation:
3x+2=8
Subtract 2 from both sides
3x=6
Divide 3 from both sides
x=2
PLEASE SOMEONE HELP ME ON 4,5, AND 6 ASAP.
Answer:
see below
Step-by-step explanation:
4. If ∠AYX = 25.5° that means that ∠XYZ = 25.5 * 2 = 51° because YA is the angle bisector.
5. If ∠XYZ = 64°, ∠AYZ = 64 / 2 = 32°.
6. You can construct ∠P and PQ by using a protractor. I'm not sure how to attach an image so I'll just tell you the answer I got for c which is about 3 cm.
You draw a card from a standard deck of 52 playing cards. Find the probability that you do not draw an ace. Write your answer as a fraction in simplest form.
Answer:
12/13
Step-by-step explanation:
The probability of not drawing an ace is =
1 minus the probability of drawing an ace.
there are 4 aces in a deck
hence the probability of not drawing an ace =
1 - [tex]\frac{4}{52}[/tex]
= 48/52 = 12/13
The required probability of not drawing an ace would be 12/13.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
You draw a card from a standard deck of 52 playing cards.
The probability of not drawing an ace is P(E)
There are 4 aces in a deck
So the number of favorable outcomes n(E)= 4
And the total number of outcomes n(S) = 52
Thus, the probability of drawing an ace = n(E)/n(S) = 4 / 52
The probability of not drawing an ace will be:
⇒ P(E) = 1 - n(E)/n(S)
⇒ P(E) = 1 - 4 / 52
⇒ P(E) = 48/52
⇒ P(E) = 12/13
Therefore, the required probability of not drawing an ace would be 12/13.
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can someone please help
Answer:
[tex]1000[/tex]
Step-by-step explanation:
[tex]3443-2476[/tex]
[tex]=967[/tex]
Help me please !!
I need this ASAP please helpppp
Answer:
C
Step-by-step explanation:
[tex]y=(2x-3)/5[/tex]
[tex]5y=2x-3[/tex]
[tex](5y+3)/2=x[/tex]
[tex](5x+3)/2=y[/tex]
[tex]f^{-1}(x)=(5x+3)/2[/tex]
two dice are thrown together find the probability of getting
a.) two 5s
b.) a total of 8
c.) two perfect square
d.) two even numbers
simplify √x^2+6x+9 if x≥3
Answer:
simplified expression for √x^2+6x+9 if x≥3
is x+3
Step-by-step explanation:
[tex]\sqrt{x^2+6x+9} \\=>\sqrt{x^2+3x+3x+9} \\=>\sqrt{x(x+3)+3(x+3)} \\=>\sqrt{(x+3)(x+3)} \\=>\sqrt{(x+3)^2}\\=>(x+3) \ or -(x+3)[/tex]
but given that x≥3
then we have to negate solution -(x+3)\
Then simplified expression for √x^2+6x+9 if x≥3
is x+3
how do i do this? i’m having trouble
Answer:
121
Step-by-step explanation:
5x-54=3x+16
5x-3x=16+54
2x=70
x=35
-------
mAB= 5x-54= 5*35-54= 175-54= 121
) An important factor in solid missiles fuel is the particle size distribution. Significant problems occur if the particle sizes are too large. From production data in the past, it has been determined that the particle size (in micrometres) distribution is characterized by () = 3−4 , > 1, = 0, ℎ. (i)Verify that f(x) is a density function, find (ii)( = 1 2 ), (iii) ( > 1), (iv) ( > 1.5/ > 1), (v) (2 ≤ < 4).
Answer:
see attachments
Step-by-step explanation:
The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference. A.) 2 B.) 1.8 C.) 8/9
Answer:
A
d = 2
Step-by-step explanation:
Formula
l = a + (n - 1)d
Givens
n = 10
a = - 5
l = 13
Solution
13 = - 5 + (10 - 1)d Substitute
13+5 = -5+5 + 9d Add 5 to both sides
18 = 9d Divide by 9
18/9 = 9/d
d = 2
Part 1= You are shopping for a shirt, and you want to get the best deal. You go to two stores, the first of which is JCPenney. What is the cost of the shirt at JCPenney?
Part 2=The second store you go to is Macy's. What is the cost of the shirt at Macy? *
Part 3=Which store has the better deal? *
A- Macy's
B- JCPenney
Answer:
Macy’s
Step-by-step explanation:
let’s find the cost of each shirt
JCPenny’s: 14.99 x 0.80 = $11.99
11.99 x 1.06 = $12.70
The final cost of the JCPenny shirt is $12.70
Macy’s: 17.99 x 0.65 = $11.69
11.69 x 1.07 = $12.51
The final cost of the Macy’s shirt is $12.51
$12.51 is less than $12.70
So, the Macy’s shirt is the better deal :)
Heres is an problem please answer
Answer:
2
Step-by-step explanation:
the - means you have to subtract to add. so subtract 3 over 4 and you get 2
x-3/5 = y-7/2
11x=13y
Answer:
y = -319/20| x = 377/20
Step-by-step explanation:
/| 7/2-x-y-(3/5) = 0| -11*x-(13*y) = 0
We try to solve the equation: 7/2-x-y-(3/5) = 0
29/10-x-y = 0 // - 29/10-x
-y = -(29/10-x) // * -1
y = 29/10-x
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| -(13*(29/10-x))-11*x = 0| y = 29/10-x
-1*13*(29/10-x)-11*x = 0
2*x-377/10 = 0
2*x-377/10 = 0 // + 377/10
2*x = 377/10 // : 2
x = 377/10/2
x = 377/20
We insert the solution into one of the initial equations of our system of equations
For y = 29/10-x:
y = 29/10-377/20
y = -319/20
We get a system of equations:
/| y = -319/20| x = 377/20
The total cost in dollars to buy
uniforms for the soccer team players
can be found using the function
y = 28.95x + 4.25, where x is the number
of uniforms purchased. If there are a
minimum of 16 players and at most 20
players on the team, what is the domain
of the function for this situation?
A 0
B 0
C {16, 17, 18, 19, 20}
D {467.45, 496.40, 525.35, 554.30,
583.25}
The instructions state "there are a minimum of 16 players and at most 20 players on the team". This means that we have between 16 and 20 players, inclusive of both endpoints. Therefore, x can take on any whole number between 16 and 20. The domain is the set of allowed x inputs of a function.
if f(x)=2x+3, what is f(-2)
Answer:
-1
Step-by-step explanation:
x=(-2)
2(-2) +3
-4 +3
= -1 .
The table shows the gallons of fuel remaining after a car
travels a certain distance in miles.
Distance
Fuel Remaining
(miles)
(gallons)
0
13.50
The change in fuel remaining from one row to the next
in the table is V gallon(s).
The change in distance from one row to the next in the
table is v mile(s).
The slope of the line that runs through the points given
in the table is
The slope indicates a
1
13.46
2
13.42
3
13.38
4
13.34
5
13.30
Answer: the answer is -0.04 ,1 ,-0.04 ,loss of 0.04 gallons of fuel for every 1 mile
Step-by-step explanation:
From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).
It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row
The change in fuel remaining from one row to the next in the table is -0.04 gallons.
1) The change in fuel remaining from one row to the next in the table is -0.04 gallons.
2) The change in distance from one row to the next in the table is 1 mile.
3) The slope of the line that runs through the points given in the table is -0.04.
4) The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
From the given table we can noticed that the fuel remaining (gallons) decreases as distance (miles).
Hence, It is clear that the distance increases by 1 mile for each next row and the remaining fuel is changed for each next row is,
⇒ 13.46 - 13.50
⇒ - 0.04
Thus, The change in fuel remaining from one row to the next in the table is -0.04 gallons.
And, The change in distance from one row to the next in the table is 1 mile.
Hence, The slope is the rate of change of remaining fuel with respect to change in distance is,
⇒ m = - 0.04/1
⇒ m = - 0.04
Thus, The slope of the line that runs through the points given in the table is -0.04.
And, The slope indicates a Change in the fuel remaining in each mile. The slope is -0.04 it means the remaining fuel decreases by 0.04 gallons in each mile.
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Toby is buying apples. Red delicious apples,x cost $2 per pound . Breaburn apples ,y , cost $3 per pound. He wants to buy at least 10 pounds of apples , but spend no more than 24. Which graph represents this situation
Answer:
Step-by-step explanation:
x+y≥ 10
2x+3y≤24
Answer:
x+y≥ 10
2x+3y≤24
Step-by-step explanation:
The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?
360÷20 = 18sides
U divide 360 by 20 because angles at the center add up to 360°
The given polygon will have 18 sides in total.
Given information:
The diagram shows part of a regular polygon.
The sides of this polygon subtend angles of 20° at the center of the polygon.
Let the polygon has n number of sides.
Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.
The sum of angles made by all the sides will be equal to 360 degrees.
So, the number of sides n can be calculated as,
[tex]20\times n=360\\n=\dfrac{360}{20}\\n=18[/tex]
Therefore, the given polygon will have 18 sides in total.
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What is the value of x
Answer:
[tex]x=98[/tex]
Step-by-step explanation:
Angles in a triangle add up to 180°
[tex]180-45-53[/tex]
[tex]=82[/tex]
Angles in a straight line add up to 180°
[tex]180-82[/tex]
[tex]=98[/tex]
please can i have some with the question attached thanks.
Answer:
13/6
Step-by-step explanation:
6/13 * x = 1
Multiply each side by 13/6
6/13 * 1/3 6 * x = 1 * 13/6
x = 13/6
When 4 is divided by (x+7),the result is the same as when 3 is divided by(x+4),find the value of x
Answer:
5
Step-by-step explanation:
in math we can write as this
[tex] \frac{4}{x + 7} = \frac{3}{x + 4} [/tex]
4(x+4)= 3(x+7)
4x + 16 = 3x + 21
4x - 3x = 21 - 16
x = 5
Answer:
x=5
Step-by-step explanation:
You can approach this question in many different ways, but i'm gonna look at it algebraically, since it's the quickest and works pretty much all the time.
First, you want to convert the words they've given you and make it into a less confusing equation.
They told us that 4 divided by (x+7) = 3 divided by (x+4), which is the same as:
[tex]\frac{4}{x+7}[/tex] = [tex]\frac{3}{x+4}[/tex]
Now, we can multiply both sides by (x+7), which gives me:
4 = [tex]\frac{3(x+7)}{x+4}[/tex]
Now we can multiply both sides by (x+4), to get rid of the fractions:
4(x+4) = 3(x+7)
Then expand the brackets:
4x + 16 = 3x + 21
Move the x to one side and numbers to another side:
4x - 3x = 21 - 16
x = 5
Hope that helped : )
Here is a list of numbers.
12 13 19 16
32 15 13
a) Work out the range of the numbers in the list.
b) Work out the median of the numbers in the list.
_________________________________
Answers:Range=20
Median=15
Step by step explanation:
Solution,
Given data=12,13,19,16,32,15,13
Highest score=32
lowest score=12
a. Range= highest score- lowest score
= 32-12
= 20
B. Arranging the data in ascending order
= 12,13,13,15,16,19,32
N( total number of items)= 7
Median= (N+1/2)th item
=(7+1/2) th item
= (8/2) th item
= 4 th item
Median = 15
Hope it helps
Good luck on your assignment
_________________________________
I really need this one to be right please!
Answer:
D
Step-by-step explanation:
B needs to be 0 or else there is an extra constant term which makes the equation non proportional
Solve by completing the square.
s2 + 22s = 27
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
Answer:
s = 1.17, -23.17
Step-by-step explanation:
s^2 + 22s = 27
Take the coefficient of s
22
Divide by 2
22/2 =11
Square it
11^2 =121
Add this to both sides
s^2 + 22s+121 = 27+121
s^2 + 22s+121 = 148
(s+11)^2 = 148
Take the square root of each side
sqrt((s+11)^2) = ±sqrt(148)
s+11 = ±sqrt(148)
Subtract 11 from each side
s+11-11 = -11 ±sqrt(148)
s = -11 ±sqrt(148)
s = -11 + sqrt(148) = 1.1655
- 11 - sqrt(148)=-23.166
Rounding to the nearest hundredth
s = 1.17, -23.17
Need help can someone plz help me solved this problem ASAP! Need help I will mark you as brainiest
Answer: 2, 6
Step-by-step explanation:
Triangle Inequality Theorem states that the sum of two sides must be GREATER than the third side.
RS + ST > RT and RS + RT > ST and ST + RT > RS
2x + 4x > 12 2x + 12 > 4x 4x + 12 > 2x
6x > 12 12 > 2x 12 > -2x
x > 2 6 > x -6 < x
2 < x x < 6 invalid
Answer: 2 < x < 6
Graph: O----------------------O
2 6
Note: -6 is invalid because you cannot have a negative length.
what is -18=6(x-10) pls help
Answer:
x = 7.
Step-by-step explanation:
-18 = 6 (x - 10)
-18 = 6x - 60
6x = -18 + 60
6x = 42
x = 42/6 = 7.
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
[tex]-18=6(x-10)[/tex]
Use distributive property.
[tex]-18=6x-60[/tex]
Add 60 on both sides.
[tex]-18+60=6x[/tex]
[tex]42=6x[/tex]
Divide by 6 on both sides.
[tex]\frac{42}{6} =x[/tex]
[tex]7=x[/tex]
Another method.
[tex]-18=6(x-10)[/tex]
Divide by 6 on both sides.
[tex]-18/6=x-10[/tex]
[tex]-3=x-10[/tex]
Add 10 on both sides.
[tex]-3+10=x[/tex]
[tex]7=x[/tex]
Give me Brainliest if my answer helped you.
The swimming instructor has a list of 152 students who have signed up for swimming lessons. The swimming instructor can register 12 students in each class. What is the least number of classes needed for all the students to be registered in a class?
1. 12
2. 13
3. 14
4 .15
Answer:
2. 13
Step-by-step explanation:
The least number of classes need for all of the students to be registered in a class is 13 since you want all of the stuednts to be registered so no one should be left out. If we do 12*12 (12 students in each class and there are 12 classes), that would only let 144 students take the swimming classes and 8 students would be left out. We don't want that though since we want all of the students to be registered. So let's go to 12*13 (12 students in each class and there are 13 classes), that would let 156 students take the swimming class. 156>152 so therefore, 13 classes would allow for all 152 students to be registered and it is the least number of classes needed for all the students to be registered in a class (plus you would have 4 seats left for anyone who wants to register in the future but the remainder doesn't matter).
A line has x-intercept -8 and y-intercept 5. Determine the slope of a line perpendicular to this line.
Answer:
- 8/5
Step-by-step explanation:
A line has x-intercept -8 and y-intercept 5.
It means the line has passes through:
(-8, 0) and (0, 5)Slope as per slope formula:
m = (y2-y1)/(x2-x1) m = (5 - 0)/(0 + 8) = 5/8Perpendicular lines have slopes negative reciprocal to each other
So the slope of the perpendicular line is:
m = -1/(5/8) = - 8/5Find the volume of the figure.
*
9 cm
10 cm
2 cm
10 cm
9 cm
Answer:
Look up how to find volume and you'll get the answer right away
Step-by-step explanation:
Solve the following system by graphing x + y - 6= 0 x- y = 0
Answer:
(3,3)
Step-by-step explanation:
x + y - 6= 0
x- y = 0
Add the two equations together
x + y - 6= 0
x- y = 0
-------------------
2x - 6 = 0
Add 6 to each side
2x-6+6 = 0
2x = 6
Divide by 2
2x/2 = 6/2
x = 3
Now find y
x-y = 0
3 - y = 0
y = 3
Answer:
Step-by-step explanation:
y=6-x first equation
y=x for the second