Answers
Answer:
x ≈ ± 3.87
Step-by-step explanation:
Given
x² - 3 = 12 ( add 3 to both sides )
x² = 15 ( take the square root of both sides )
x = ± [tex]\sqrt{15}[/tex]
Then x ≈ 3.87 or x ≈ - 3.87 ( to 2 dec. places )
Related Questions
A. Their rates of change differ by 2. B. Their rates of change differ by 4. C. Function M has a greater rate of change than Function P. D. Function M and Function P have the same rate of change.
Answers
Answer:
(a) Their rates of change differ by 2
Step-by-step explanation:
Given
See attachment for functions M and P
Required
Determine what is true about the rates of M and P
First, we calculate the slope (i.e. rate) of both functions.
Slope is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
From the table of M, we have:
[tex](x_1,y_1) = (-2,-9)[/tex]
[tex](x_2,y_2) = (2,11)[/tex]
So, the slope is:
[tex]m_M = \frac{11 --9}{2--2}[/tex]
[tex]m_M = \frac{20}{4}[/tex]
[tex]m_M = 5[/tex]
For function P, we have:
[tex]y = 7x + 9[/tex]
A function is represented as:
[tex]y = mx + b[/tex]
Where:
[tex]m = slope[/tex]
So, by comparison:
[tex]m_P = 7[/tex]
At this point, we have:
[tex]m_M = 5[/tex] --- Slope of M
[tex]m_P = 7[/tex] --- Slope of P
Only option (a) is true because both slopes differ by 2. i.e. 7 - 5 = 2
Other options are not true
Alexton the Skeleton borrowed $4000 or 5 years
at a 6% simple interest rate to pay for his band
equipment. How much interest is that?
Answers
Answer: $1,200
Step-by-step explanation:
If you use the simple interest formula, I = (p)(r)(t), you’ll replace it with I = 4,000 x 0.06 x 5 it’ll give you $1,200 :)
One morning it was -9 degrees in Ohio and -7 in Pennsylvania. Compare -9 and -7. Which state is warmer?
Answers
Answer:
pennsylvania because -9 is colder than -7
Step-by-step explanation:
give brainliest if right
3rd Question can someone help???
Answers
Answer:
7/8
Step-by-step explanation:
7/8*2/5<2/5
who can help me? Pleaseee
Answers
Answer:
x = 6
Step-by-step explanation:
2x + 29 = 9x - 13
29 = 7x - 13
42 = 7x
6 = x
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21
Answers
Answer:
B and C
Step-by-step explanation:
Noah’s soccer team played 12 games and won 10 of these. The ratio is 10:2 what is the percentage of the game won?
Answers
Hello, can you please help me solve for the y intercept?
Answers
Answer:
The y-intercept is when the X is 0 And the y is whatever number it is. So in order to do that we need to find the pattern first and to do that we need to find the slope.
The slope here is 2/ 2 or 1.
So you add 1 to each side to find the next ordered pairs.
-5, -7
-4, -6
-3, -5
-2, -4
-1, -3
0, -2
So the y-intercept is -2.
a dress is regulary price a $45 thedress is marked down 30 percent what is sale price of the dress
Answers
Answer:
$31.50
Step-by-step explanation:
So first thing, it's necessary to figure out what 30% of 45 is.
You can set this up as an algebraic expression or your can multiple 45 by 3/10 to find out what that 30% is.
The algebraic expression would be 30% of 45 is x.
Using one of these two options; we would discover that 30% of 45 is 13.5.
However, this is not the answer, yet.
The question is looking for the price of the dress after the 13.5 is taken away.
Therefore, you would subtract.
45 - 13.5 = 31.5
Sooooo... your answer is "The sale price of the dress is $31.50."
Isaac has three types of coins in his pocket. There are two more quarters than dimes, and as many nickels as quarters and dimes together. The coins total $3.75. How many quarters, dimes, and nickels are in Isaac's pocket?
Answers
Answer:
There are 16 nickels, 7 dimes, and 9 quarters.
Step-by-step explanation:
Aight, so lets set dimes as "x". Since there are 2 more quarters than dimes, quarters is "x+2". And since nickels is equal to dimes plus quarters, nickels takes the role of "(x+2)+x". We can simplify this by adding x and x together, so nickels is "2x+2" In this example, I'm converting these variables to cents, since it's easier than converting to dollars. Since a dime is 10 cents, 10 times x is"10x". Quarters are worth 25, so first we do x times 25 (25x) and then 2 times 25 (50). Then nickels. 2x+2 times 5 is 10x + 10. Alright, so now we have our cent values. $3.75 is 375 cents, so now we can make an equation:
10x + 25x + 50 + 10x + 10 = 375 cents.
I'm guessing you already know how to solve an equation, first combine like terms, then figure out how many times the variable goes into the numerical value. You should end up with 7, which is dimes. If we go back to our problem, we see that there are 2 more quarters, so 7+2= 9 quarters. As for nickels (9+7) there are 16 nickels.
There's probably a more efficient way to do this, but since I'm so... uh... inefficient, this is the best explanation I can do :p
Answer:
16 nickels 7 dimes 9 quarters
Step-by-step explanation:
im just that smarttttttt lol!! hope this helped
Which graph shows equivalent ratios?
Answers
Answer:
The first graph........
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answers
Answer:
D
Step-by-step explanation:
They're not similar because the angle lengths are different.
Łatwy ułamek
36/7-3/5-4/10
Answers
Answer:
[tex]4 \frac{1}{7} [/tex]
Step-by-step explanation:
[tex] \frac{36}{7} - \frac{ 3}{5} - \frac{4}{10} \\ \\ lcm \: \: is \: \: 70 \\ \\ \frac{360 - 42 - 28}{70} \\ = \frac{290}{70} \\ = \frac{29}{7} \\ = 4 \frac{1}{7} [/tex]
hope this helps you.
Can I have the brainliest please?
2(
5
1
m−
5
2
)+
5
3
Answers
Answer:
uh I need the question...
Step-by-step explanation:
A soda can is made out of aluminum. It is 12
centimeters tall and has a diameter of 7.5
centimeters. How many cubic units of soda
would be needed to fill the can?
(Use 3.14 as PI)
Answers
Answer:
529.875 [tex]cm^3[/tex]
I don't know if they want it rounded or not, but rounded it would be 529.88 or 529.9
Step-by-step explanation:
Find the volume of the can (cylinder):
h = 12 cm
d = 7.5 cm
r = 1/2d = 3.75 cm
[tex]V=\pi r^2h\\\\= (3.14)(3.75)^2(12)\\\\= 529.875[/tex]
Shirlee cleans house as a side job, this weekend she made $425. If she puts 15% towards her savings how much will she put in her savings account?
Answers
Answer:
$63.75
Step-by-step explanation:
Find how much she will put in her savings account by finding 15% of 425
Multiply 425 by 0.15:
425(0.15)
= 63.75
So, Shirlee will put $63.75
Answer:
$63.75
Step-by-step explanation:
Since percent is out of 100. 15% divided by 100%, multiplied by 425.
At the zoo, the length of each iguana is
measured, which statement is best supported by
the information below. I’ll give brainliest to whoever gets it right
Answers
you Look bEauTiful Today and EveRyday, and i think that's really Cool.
Decode this simple "riddle", to get the answer.
Answer:
The other persons answer is saying LETTER C
Step-by-step explanation:
Owa Owa!
Parallel Lines E and Fare cut by transversal b What is the value of Y
Answers
Answer:
the value of y is, 130,
Step-by-step explanation:
hope it helps
FOLLOW MY ACCOUNT PLS PLS
The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 37. What is the age of the person who entered the room?
Answers
Mean is the average,
The total ages with 5 people would be 5 x 33 = 165
the total ages with the 6th person is 6 x 37 = 222
The age of the 6th person is 222 - 165 = 57 years old.
CITY |. Temperature (°F) St. Louis | 32 Montreal |. -18 Buffalo. | -8 Orlando. |. 68 Juneau. |. -26 By noon, the temperature In Buffalo had risen by 14 °F. What was the temperature there at noon? How much higher was the 6 a.M. Temperature in St. Louis than Juneau?
Answers
Answer:
6°F
58°F
Step-by-step explanation:
From the data Given :
Temperature rise in Buffalo by noon time = 14°F
The initial temperature at Buffalo = - 8°F
Rise in temperature = 14°F
Therefore, temperature at noon = (-8 + 14)°F = 6°F
B.)
Temperature at 6am in St. Louis = 32°F
Temperature at 6am in Juneau = - 26°F
Temperature difference :
(32 - (-26))°F
32 + 26
= 58°F
Temperature in St. Louis is 58°F higher
To make orange juice the directions call for a can of orange juice concentrate to be mixed with three cans of water. What is the volume of orange juice that you make?
Answers
Answer:
volume of orange juice = 4 cans
Step-by-step explanation:
Recipe for orange juice
Orange juice concentrate = 1 can
Water = 3 cans
What is the volume of orange juice that you make?
volume of orange juice = Orange juice concentrate + water
= 1 can + 3 cans
= 4 cans
volume of orange juice = 4 cans
3m + 2n + 4;
m = 2 and N =4
D2 + 9k; d = 10 and k =9
3m + 4y x 2 m = 7, y = 10
Answers
Answer:
1. 18
2. 181
3. 101
Step-by-step explanation:
They want you to take each equation, and replace the letter with the number they give you after the equation.
3m + 2n + 4; m = 2, n = 4
This becomes
3(2) + 2(4) + 4
We multiply before we add, according to the order of operations. So next, the equation becomes:
6 + 8 + 4
= 18
———-
D^2 + 9k ; D = 10, k = 9
Numbers squared are numbers multiplied by themselves.
(10)(10) + 9(9)
= 100 + 81 = 181
——————-
3m + 4y x 2 ; m = 7, y = 10
3(7) + 4(10) x 2
21 + 40 x 2
Remember, multiplication always comes before addition.
21 + 80 = 101
Please let me know if you have questions on this.
Help 30 pts plus brainliest
Answers
Answer:
c. 113
Step-by-step explanation:
what is the slope of (-2,8) and (9,6) ?
Answers
= 6 - 8 / 9 - (-2)
= -2 / 11
= -0.18
Find the value of x. Pls answer asap
Answers
Answer:20=x i played around with the angles a bit untill it all fit in 360 (the angles all together equal up to 360 in a polygon)
Step-by-step explanation:
Given P(A) 0.3, P(B) = 0.43 and P(ANB) = 0.249, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.
Answers
Answer:
0.481
Step-by-step explanation:
P(A U B) = P(A) + P(B) - P(A∩B)
= 0.3 + 0.43 - 0.249
= 0.73 - 0.249
= 0.481
WILL GIVE BRAINLIEST!!!!!
Answers
Answer:
2nd one i did that before :)
Step-by-step explanation:
which of the following could represent the unit side lengths of a right triangle
F 10, 24, 26
H 7, 11, 13
G 3, 6, 7
J 5, 10, 15
Answers
Answer:
F
Step-by-step explanation:
10^2+24^2=676
26^2=676
Susan has 12 pizzas that she needs to divide equally among 7 classrooms.
Which fraction shows how many pizzas each classroom should get?
Answers
Answer:
1 5/7
Step-by-step explanation:
12 ÷ 7 = 1R5, therefore, we have 1 whole and 5/7
Hope I helped
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form
Answers
Answer:
Step-by-step explanation:
If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form