Answer:
Below in bold.
Step-by-step explanation:
10x² + 3x -2 = -1
10x^2 + 3x - 1 = 0 Taking 10 out from the first 2 terms:-
10(x^2 + 0.3) - 1 = 0 Completing the square:
10[(x + 0.15)^2 - 0.15^2] - 1 = 0
10[(x + 0.15)^2 - 0.0225] - 1 = 0
10(x + 0.15)^2 - 0.225 - 1 = 0
10(x + 0.15)^2 - 1.225 = 0 is vertex form.
The vertex (turning point is at (-0.15, -1.225).
y- intercept is at the point where x = 0,
- that is at y = 10(0.15)^2 - 1.225 = -1
So at (0, -1).
Solving for x:
10(x + 0.15)^2 - 1.225 = 0
(x + 0.15)^2 = 0.1225
x + 0.15 = +/- sqrt 0.1225
x = -0.15 +/- sqrt 0.1225
The roots are -0.5, 0.2
Additive inverse of 400
Given:
A number is 400.
To find:
The additive inverse of 400.
Solution:
We know that the sum of a number and its additive inverse is 0.
If "a" is number and "b" is its additive inverse, then
[tex]a+b=0[/tex]
Let x be the additive inverse of 400. Then,
[tex]400+x=0[/tex]
Subtract both sides by 400.
[tex]400+x-400=0-400[/tex]
[tex]x=-400[/tex]
Therefore, the additive inverse of 400 is [tex]-400[/tex].
Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answer:
Step-by-step explanation:
700.5
Sally has a car that accelerates at 5 m/s^2. If the car has a mass of 1000 kg, how much force does the car produce?
F=______
m=______
a=______
Answer:
You have to use the equation F=ma.
F: the force an object has (in this case the unknown)
M: the mass an object has (in this case 1000kg)
A: the acceleration an object has (in this case 5m/s^2)
when you plug in everything you should get F=5000N
Answer:
The answer is 5000 N (Newtons).
Explanation:
F=M*A
F=1000 kilograms * 5 m/s squared
F=5000 Newtons
what is the solution set for the equation 2x^2-8x-42=0
Answer:
x=−3 or x=7
Step-by-step explanation:
Step 1: Factor left side of equation.
2(x+3)(x−7)=0
Step 2: Set factors equal to 0.
x+3=0 or x−7=0
x=−3 or x=7
Answer:
(-3,7)
Step-by-step explanation:
Ms.sosa's principal gave her $350 to spend on school supplies at the beginning of the year she bought 10 packs of dry erase marker for 9.98 each and 15 pre sharpened pencil that cost 12.99 each how much does she have left to spend
Answer:
I am sooo sorry I really need the points
Step-by-step explanation:
Soooo sorry
Answer:
$55.35
Step-by-step explanation:
10 x 9.98 = 99.80
15 x 12.99 = 194.85
350 - 194.85 = 155.15
155.15 - 99.80 = 55.35
ITS TIMED... please help. f(x) = -3x - 4
h(x) = 11 + 7x
Using the functions defined above, find the following:
f(x) + h(x)
Answer:
4x+7 I believe but it could be wrong
Hi! I need some help on my hw! Feel free to attach a picture explaining it if that’s easier tysm!
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.
1. 45 and 135
2. 45 and 45
3. know that triangles add up to 180 so:
95+40=135 either use algebra or just do 180-135 to get:
x=45
One third of number is 8 less than the three times of the number, working pls
Answer:
the required number is 12
Answer:
3Step-by-step explanation:
One third of number is 8 less than the three times of the number
The number is x, then:
1/3x = 3x - 83x - 1/3x = 88/3x = 8x = 3Solve for
x
xx.
Enter the solutions from least to greatest.
x
2
+
7
=
43
Answer:
The answer would therefore be 'x=18'.
Answer:
Step-by-step explanation:
7/7
Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce triangle A′′B′′C′′ ? Triangle ABC was translated 10 units right and then reflected across the x-axis. Triangle ABC was reflected across the y-axis and then translated 7 units down. Triangle ABC was reflected across the x-axis and then translated 9 units right. Triangle ABC was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.
Answer:
The answer is B
Step-by-step explanation:
Triangle ABC was reflected across the y-axis and then translated 7 units down.
HELP PLEASE PLEASE!
18.) Savings: You have decided to put 12% of your weekly paycheck into a
savings account. You made $85.50 las week. How much did you put into
the savings account? *
$12.26
$8.55
$10.26
Other:
Answer:
$10.26
Step-by-step explanation:
....................
Answer:
712.5
Step-by-step explanation:
M {-5,2} and N {5,2} are the endpoints of the segment MN on the coordinate plane what is the length of MN?
Answer:
Length MN = 10 unit
Step-by-step explanation:
Given: M {-5,2} and N {5,2} are the endpoints of the segment MN.
Length of line segment having co-ordinates as
[tex](x_1, y_1) and (x_2, y_2)[/tex]
is calculated as
[tex]D =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So plugging the values in above equation we get
[tex]D =\sqrt{(5+5)^2+(2-2)^2}[/tex]
D = 10 unit
Therefore, Length MN = 10 unit
can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
Step-by-step explanation:
I got you,
a) Work...
First equation: y = 4x + 3
Second equation: y = 2x + 11
If he wants to play 2 games...
y = 4 (2) + 3
y = 11
y = 2 (2) + 11
y = 15
Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.
b) Work...
seven games...
y = 4 (7) + 3
y = 31
y = 2 (7) + 11
y = 25
Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.
I hope this helps :)
Your parents take you to dinner at your favorite restaurant for your birthday. The cost of the
meal is $75. The restaurant adds a 10% tax to the meal. What is the total cost of the meal
including tax?
$
Answer:
$82.5
Step-by-step explanation:
75x 0.1 = 7.5
75 + 7.5 =
$82.5
George is 6 feet tall and his shadow measured 8 feet long at noon. At the same time, a nearby flagpole cast a 40-foot shadow. What is the height of the flagpole? *
Answer:
42 I think LOL
solve for x. round all answers to the nearest tenth. 22 54
Answer: x= 27.2
Step-by-step explanation:
hii please help i’ll give brainliest
Answer:
-12
Step-by-step explanation:
the opposite of 12 is -12
In the diagram, AP is a tangent and PBC is a secant in a circle O. If PC = 12 and BC = 9, what is AP?
Answer:
6
Step-by-step explanation:
AP^2 = PC * PB
We have PC and BC. We need PB.
PC = 12
BC = 9
PB + BC = PC
PB + 9 = 12
PB = 3
AP^2 = 12 * 3
AP^2 = 36
AP = 6
Answer: 6
Answer:
Hey!
AP will be 6cm.Step-by-step explanation:-
to solve this, the equation PB X PC = [tex]AP^{2}[/tex] can be used
In the ques, its given that PC= 12cm and BC = 9.
To solve this, WE NEED TO FIND PB, SO:-
PB + BC = PC
PB + 9 = 12
PB = 3cm.
Now, we can substitute this in the equation:- PB X PC = [tex]AP^{2}[/tex]
[tex]AP^{2}[/tex] = PB x PC
[tex]AP^{2}[/tex] = 3 X 12
[tex]AP^{2}[/tex] = 36
AP = [tex]\sqrt{36}[/tex]
AP = 6cm.Nicole purchased a package of 5 coconut cookies. The total weight of the cookies was 0.5 ounces. How many did each cookie weigh
Answer:
0.1 ounce
Step-by-step explanation:
5 cookies = 0.5 ounces
1 cookie = 0.5 / 5 = 0.1 ounce
what is the answer to 4x+7=-2+4x
0=(-9)
Step-by-step explanation:
4x + 7 = -2 + 4x
4x + 7 = 4x -2
subtract 7 from both sides of the equation.
simplify your answer.
subtract 4x from both sides of the equation.
simplify your answer again.
4x + 7 = 4x -2
___-7 = 4x -7
4x __ = 4x -9
__4x = 4x -9
-4x = -4x -9
__0 = -9
the input is a contradiction: it has no solutions.
ggsfgsrgr help please
Answer:
The answer is m=0.10L
Step-by-step explanation:
You just input the values in L in the equation to get M you just do process of elimination
Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.
a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.
b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.
c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?
Answer:
a. (A + S = 200), (8S + 10A = 1760)
b. The school play sold 80 adult tickets, and 120 student tickets.
c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$
Step-by-step explanation:
a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).
b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be
(8S + 10(200 - S) = 1760)
Then you solve for S
(8S + 2000 - 10S = 1760)
-2S = -240
S = 120
Substitute for S in the first system of equations
A = 200 - 120
A = 80
or the second
8(120) + 10A = 1760
960 + 10A = 1760
10A = 800
A = 80
This means that the school play sold 80 adult tickets, and 120 student tickets.
c. (8S + 15A = X)
8(120) + 15(80) = X
X = 2160
2160 - 1760 = 400
400$ more would have been collected if the school charged 15$ per ticket instead of 10$
Help answer correctly or you'll get hack
Answer:
1 ) - 15
2 ) 21
3 ) 49
4 ) 39
5 ) 89
Step-by-step explanation:
1 )
( - 8 ) + ( - 7 )
= - 8 - 7
= - 15
2 )
( + 12 ) + ( + 9 )
= 12 + 9
= 21
3 )
( - 43 ) + ( - 6 )
= - 43 - 6
= - 49
4 )
( + 23 ) + ( + 16 )
= 23 + 16
= 39
5 )
( + 73 ) + ( + 16 )
= 73 + 16
= 89
270/9 3/4 +40*(15-5)
Step-by-step explanation:
[tex]270 \div \frac{ {3}^{4} }{9} + 40 \times (15 - 5) \\ = 270 \div \frac{3 \times 3 \times 3 \times 3}{9} + 40 \times (10) \\ = 270 \div \frac{81}{9} + 40 \times 10 \\ = 270 \div 9 + 40 \times 10 \\ = 30 + 400 \\ = 430[/tex]
Tom is told by his doctor that he needs to lose 15 pounds if Tom now it's 285 pounds then by what percentage should Tom's week decrease
Answer:
the percentage is 5.56%
Step-by-step explanation:
The computation of the percentage that the tom should decrease is shown below:
As Doctor said tom to reduce 15 pounds
As of now the tom has 285 pounds
So after considering the 15 pounds, it would be
= 285 - 15
= 270 pounds
Now the percentage that should be considered is
= (285 - 270) ÷ (270)
= 5.56%
Hence, the percentage is 5.56%
What can you say about the end behavior of the function f(x) = -4x^6 +6x^2-52?
The true statement about the end behavior of f(x) is (b)
How to determine the end behavior?The equation of the function is given as;
f(x) = -4x^6 +6x^2-52
The leading coefficient of the above function is
Leading coefficient = -4
-4 is less than 0 i.e. negative
This means that options (a) and (c) are false
Also;
The ends of even functions face the same direction, and not opposite directions.
Hence, the true statement about the end behavior of f(x) is (b)
Read more about end behaviors at:
https://brainly.com/question/1365136
#SPJ9
William deposited $5,375 into an account that earns
6.2% interest compounded annually. Assuming he
makes no other deposits or withdrawals, which of the
following is the closest to the value of his account after
36 months?
A. $6,438.02
B. $46,866.34
C. $11,813.02
D. $1,063.02
Answer:
I'm pretty sure its D if not I'm sry
Answer:
A
Step-by-step explanation:
Compound interest is p (1+r)^T
5,375(1+0.062)^3 = 6,438.02
You have to convert the months into years.
Is 301 in the sequence below?
-9, -5,-1,3,7,...
Answer:
no
Step-by-step explanation:
Establish the nth term formula
There is a common difference d between consecutive terms, that is
d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 4 , then
[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13
Equate 4n - 13 to 301
4n - 13 = 301 ( add 13 to both sides )
4n = 314 ( divide both sides by 4 )
n = 78.5
Since n is not an integer then 301 is not in the sequence
301 doesn't belong to the sequence -9, -5,-1,3,7,...
What is A.P sequence?An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .
Hence, the formula to find the nth term is:
[tex]a_{n}[/tex] = a + (n – 1) × d.
where,
a = first term
d = common difference
n = number of terms
[tex]a_{n}[/tex] = nth term
According to the question
Sequence : -9, -5,-1,3,7,...
First term (a)= -9
common difference (d)= -5 - (-9)
= 4
[tex]a_{n}[/tex] = 301
using the formula of nth term
[tex]a_{n}[/tex] = a + (n-1)d
Substituting the value
301 = -9 + (n-1) 4
310 = (n-1) 4
77.5 = (n-1)
n = 78.5
as n always to be the whole number .
Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...
To know more about A.P sequence here:
https://brainly.com/question/24205483
#SPJ3
-3/9 from 2/3
Subtract with explanation
Answer:
1/3
Step-by-step explanation:
2/3-3/9
multiply 2/3 by 3/3 to get the common denominator 9
2/3*3/3-3/9
6/9-3/9
3/9
simplify
1/3
Answer: -11/15
Step-by-step explanation: To subtract fractions, find the LCD and then combine them.
find the area of the circle.
Answer:
78.5 cm^2
Step-by-step explanation:
1, find the radius (half a diameter) R = 5
3.14 * 5^2
3.14 * 25 = 78.5