Answer:
8x²+16x+8=0
x²+2x+1=0
D=4-4=0
x0=-2/2=-1
Answer:
x = -1Step-by-step explanation:
[tex]8x^2+16x+8=0[/tex] {divide both sides by 8}
[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]
A fair six sided die is thrown .Find the probability of getting a 4
Answer:
1/6
Step-by-step explanation:
total no of out comes= 6
favourable out comes= 1
:. prob( getting 4)=1/6
Which choice represents the simplified exponential expression? (11^-2)^7
PLEASE HELP!!!
Step-by-step explanation:
[tex]( {11}^{ - 2} ) ^{7} = {11}^{ - 2 \times 7} \\ = {11}^{ - 14} [/tex]
Hurry please
here is a triangle prism
why is the surface area of the prism, in square centimeters?
Answer:
Step-by-step explanation:
(6 * 4) + 2(10 * 5) + (10 * 6)
Multiply 6 by 4 to get 24.
24 + 2(10 * 5) + (10 * 6)
Multiply 10 by 5 to get 50, then multiply by 2 to get 100.
24 + 2(50) + (10 * 6)
24 + 100 + (10 * 6)
Multiply 10 by 6 to get 60.
24 + 100 + 60
Add 24 to 100 to get 124.
124 + 60
Add 124 to 60 to get 184.
184 cm²
The surface area of the prism is 184 cm².
A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip their server 18% on the cost of the meal (including tax). How much will EACH friend have to pay? Round your answer to the nearest cent.
Answer:
Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved
Step-by-step explanation:
After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6
The amount that each person should pay is $22.06 .
What is percent?Percentages can be stated as essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. We can take as example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
here, we have,
in the question ,
it is given that
total number of persons = 3 person + 1 = 4 persons
cost of the meal = $72.50
sales tax percent = 6.75%
tip percent = 15%
So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89
and , the amount of tip is = 15% of cost
= 0.15 * 72.50
= 10.87
So , the total amount payable is = cost + sales tax + tip
= 72.50 + 4.89 + 10.87
= 88.26
since the total number of persons is 4 ,
the amount per person is = 88.26/4 = 22.06
Therefore , The amount that each person should pay is $22.06 .
Learn more about Percent here
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Samantha has 52 jelly beans. She decides that she will eat 4 jelly beans per minute, and she wants to create an expression that represents how many jelly beans she has left after x minutes. Which of the following expressions correctly models this situation?
Select one:
A. 4x + 52
B. x + 52
C. -x + 52
D. -4x + 52
~and also if whoever answers doesn't mind, please put an actual explanation since I just wanna be able to fully understand the concept! It would be greatly appreciated! ~
Answer:
-4x+52
Step-by-step explanation:
So we know that Samantha has 52 jelly beans and that she'll eat 4 jelly beans per minute in X minutes.
It'd be 4*x=4x
Usually, it'd be 52-4x
But you can create an equivalent
Lets say x=5
So she'd eat 20 jelly beans
52-20=32
BUT
-20+52=32
So, the answer would be D
7.17 x 10' and 8.17 x 1067
Answer:
1. =71.7
2. =8717.39
Step-by-step explanation: Hope this help :D
Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?
Answer:
9,309
Step-by-step explanation:
550 + (8,730) + 2 + 4 + (23)
= 550 + 8,730 + 2 + 4 + 23
= 9,309
200 reduced by twice my age is 88
Sarah will roll a fair number cube. The number cube is labeled 1 to 6. What is the probability that Sarah will roll a number greater than 2? HELP!
5/6
1/6
2/3
1/2
Answer:
5/6 or 4/6
Step-by-step explanation:
6-2=
4/6 -with out two
5/6 -including two
The height of a cylinder is twice the radius of its base
Answer:
2πr³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ← r is the radius and h the height
Here h = 2r, hence
V = πr² × 2r = 2πr³
Answer:
yes
Step-by-step explanation:
can someone pls help me
Answer:
x=−8 and y=−4
Step-by-step explanation:
8x−17y=4;−8x+15y=4
add eqn1 and 2
to eliminate x
you will get y=-4
put it zin eqn 1
x=-8
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Answer:
48.6
Step-by-step explanation:
If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar
Just do 8.1*6 and you will get 48.6
Please answer correctly! I will mark you Brainliest!
Answer:
27
Step-by-step explanation:
V=a^3=3^3=27
Carl's grandfather is exactly 5 times older than Carl. Which three statements must be true? 1 SEE ANSWER
Answer:
x = 5y
Step-by-step explanation:
Let the age of Carl's grandfather be x
Let the age of his son be y
If Carl's grandfather is exactly 5 times older than Carl, this can be expressed as;
x = 5y
Hence the required expression is x = 5y
find slope represented in the table
Answer:-4
Step-by-step explanation:
What is the slope of (12,-18) and (11,12)? Please I’m very confused.
Answer:
-30
Step-by-step explanation:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate.
Slope
[tex] = \frac{12 - ( - 18)}{11 - 12} [/tex]
[tex] = \frac{12 + 18}{ - 1} [/tex]
= -30
1. If you're trying to gain access to a credit card before you turn 21, which of
the suggestions rely on the support of your parent or guardian?
What is the unit rate? 52.5/2.5
Answer:
21
Step-by-step explanation:
In an online survey 55 out of 100 parents prefer to receive the weekly newsletter
electronically. How many PAPER newsletters would the school estimate are
needed if there are 700 parents?
Se quiere realizar la adición y multiplicación de los números enteros 43 y -32. En relación con los signos de las operaciones se puede decir que
Answer:
El caso de la adición es trivial.
La adición entre los números A y B es:
A + B
Entonces la adición entre los números 43 y -32 es:
43 + (-32)
No hace falta realizar la suma para darnos cuenta de que el resultado tendra signo positivo, esto se da porque el módulo del número positivo es mayor que el del número negativo.
Así tenemos:
43 + (-32) = 43 - 32 = 11
Para el caso de la multiplicación podemos recordar:
(+)*(+) = (+)
(-)*(+) = (-)
(+)*(-) = (-)
(-)*(-) = (+)
Entonces el producto entre un número positivo y uno negativo (como es nuestro caso con 43 y -32) siempre tendrá un signo negativo.
Entonces podemos concluir que el signo de la multiplicación entre esos dos números va a ser negativo.
También podemos resolver la multiplicación de otra forma para ver esto:
43*(-32)
43*( (-1)*32)
43*(-1)*(32)
(-1)*(43*32)
Que es claramente un número negativo.
Anthony starts with $400 in his bank account. Over the course of a week, he withdraws $50, deposits $70, and withdraws $20. How much money is in his account?
show your work, please
Answer:
The answer is 400
Step-by-step explanation:
Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400
Can someone answer these? It like due in 15 mins
Answer:
1 = Supplementary
2 = Vertical
3 = Congruent
4 = Supplementary
5 = Complementary
6 = Adjacent
7 = never
8 = always
9 = sometimes
10 = 79°
11 = 28°
12 = 133°
Step-by-step explanation:
Maria had 10.5 pounds of flour. She used all of the flour to fill bags that hold 0.75 pound each.
How many bags was she able to fill? (:
Tell me which lines to draw to which ( whoever answers correctly gets brainliset )
Answer:
13. 24ft = 8yd
14. 120in = 10 ft
15. 2 yd = 72 in
16. 5 yd = 180 in
17. 20yd = 60 ft
Step-by-step explanation:
24ft*12 in = 288 inches/36 inches(1yd) = 8yd
120in/12in = 10ft
2yd*36in = 72 in
5yd*36in = 180 in
20yd*36in = 720/12in = 60ft
1ft = 12inches
1 yd = 36 inches
Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What is the unit rate for the pistachio nuts? How do you know?
Answer:
$3.98
the unit rate can be determined by dividing the total costs of the pistachio by the total pounds bought
Step-by-step explanation:
unit rate = total cost / total pounds bought
7.96 / 2 = $3.98
1.99 / 0.5 = $3.98
Find the area of the given shape?
Answer:
28
Step-by-step explanation:
Area for a triangle is
1/2(bxh) B-Base H-Height
So
1/2(7x8)
1/2(56)
=28
4) Graph f(x) 2(3)*. Compare the graph to the
graph of the parent function. Describe the domain
and range of f.
Answer it is 65
Step-by-step explanation:
Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?
Yes, because the slopes of the equations are different so the system of equations will have one solution.
No, because the slopes of the equations are different so the system of equations will have no solutions.
Yes, because the slopes of the equations are the same so the system of equations will have infinitely many solutions.
No, because the slopes of the equations are the same so the system of equations will have no solutions.
Answer:
Yes, because the slopes of the equations are different so the system of equations will have one solution.
Step-by-step explanation:
help:(, i’m not sure how to do this
Answer:
i think you have to multiply the sides..
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) PQ² + PR² = QR²
PQ² + 14² = 50²
PQ² + 196 = 2500
PQ² = 2500 - 196 = 2304
PQ = √2304
PQ = 48
Sin Q = [tex]\frac{opposite side}{hypotenuse}=\frac{14}{50}\\[/tex]
[tex]Cos Q = \frac{adjacent side}{hypotenuse}=\frac{48}{50}\\\\Tan Q = \frac{oppsite}{adjacent}=\frac{14}{48}\\\\\\\Sin R = \frac{48}{50}\\\\Cos R = \frac{14}{50}\\\\Tan R = \frac{48}{14}\\\\[/tex]
2) tan 48 = [tex]\frac{x}{17}[/tex]
x = 17 * tan 48 = 17 * 1.1106 = 18.8802
x = 18.8802
help please i been stuck for 2 hours........... the triangle above is a right-angled isosceles triangle. what would the measurement of x have to be, given that the hypotenuse is 8cm and legs a and b have the same length? please explain your answer
Answer:
4√2 or 5.66
Step-by-step explanation:
x² + x² = 8²
=> 2x² = 64
=> x² = 32
=> x = √32 = 4√2 or 5.66