Answer:
NO REAL SOLUTIONScomplex solutions: x = -7 ± i√2
Step-by-step explanation:
[tex]-2x^2-28x-102=0\\{}\qquad\qquad^{\div(-2)}\qquad\ \ ^{\div(-2)}\\x^2+14+51=0\quad\implies\quad a=1\,,\ b=14\,,\ c=51\\\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-14\pm\sqrt{14^2-4\cdot1\cdot51}}{2\cdot1}=\dfrac{-14\pm\sqrt{196-204}}{2}[/tex]
[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}[/tex] means NO REAL SOLUTIONS (as there is no real √[-8])
However in complex numbers we have:[tex]x=\dfrac{-14\pm\sqrt{-8}}{2}=\dfrac{-14\pm2\sqrt{-2}}{2}=\dfrac{2(-7\pm\sqrt{-2})}{2}=-7\pm\sqrt{-2}\\\\\\x_1=-7+i\sqrt2\ ,\qquad x_2=-7-i\sqrt2[/tex]
A zoo has 15 emperor penguins. The emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live at the zoo?
Answer:50 penguins it’s right
What is not a description of slope?
rise over run
the rate of change of a line
change in y over the change in x
the ratio of horizontal change compared to vertical change
Answer:
Option (d) is wrong.
Step-by-step explanation:
Slope is:
rise over runThe rate of change of a lineChange in y over the change in xThe ratio of vertical change to the horizontal change.It can be given by mathematically as follows :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{and}\\\\m=\dfrac{dy}{dx}[/tex]
Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"
What is the value of x in the equation below?
6 (x minus 8) = 72
Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
[tex]6(x - 8) = 72 \\ 6x - 48 = 72 \\ 6x = 120 \\ x = 20[/tex]
Answer:
The correct answer is c. 20
Select all the sums that are positive.
A. -5 + (-2)
B. 5+(-2)
C -3 + 4
D. 0 +(-3)
E –2 +4
please help
what is the LCM of 25 and 35
Answer:
175
Step-by-step explanation:
Translate each phrase into an expression with integers.
Do not simplify. You'll need to use parentheses to subtract a negative number
.
a. The opposite of 6:
b. The opposite of – 6:
c. Negative six
d. 8 minus negative 8:
Answer:
a. -6
b. -(-6) or 6
c. -6
d. 8 -(-8)
Step-by-step explanation:
The opposite of something is that something preceded by a minus sign (or with its minus sign removed).
a. the opposite of 6 is -6
b. the opposite of -6 is -(-6) or 6
c. negative 6 is a description of the integer -6
d. 8 minus negative 8 is 8 - (-8)
Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her parents initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?
Answer:
$3846.87
Step-by-step explanation:
Assuming the interest is compounded annually, the value in 3 years is ...
FV = P(1 +r)^t
FV = $3500(1.032^3) ≈ $3846.87
Sarah's account will be worth about $3846.87.
Convert 6 20
into a decimal
Answer:
6.20
wait what do u mean
on a coordinate grid, line segment ab has midpoint p at (4,-3). if endpoint b has coordinates of (24,16), what is the x-coordinate of point a?
Answer:
(-16,-22)
Step-by-step explanation:
B (24,16)
Mid point (4,-3)
24 is -20 away from 4
16 is -19 away from -3
4-20= -16
-3-19= -22
What is the slope of the line through (-7,-2) and (-6, 7)?
Choose 1 answer:
1
9
B
-9
9
Answer:
9Step-by-step explanation:
Slope is rise over run or change y/change x.
7 - -2 = 9
-6 - -7 = 1
Slope = 9/1 or 9
___________________________________________________I AM ALWAYS HAPPY TO HELP :)What is the product?
(y^2+3y+7][8y^2+y+1)
Answer:
8 y^ 4 + 25 y^ 3 + 60 y^ 2 + 10y + 7
Hope this helps!
Answer:
8 y^ 4 + 25 y^ 3 + 60 y^ 2 + 10y + 7
Step-by-step explanation:
edge 2021
() + -8= -6 what is the awnser
Answer:x=2
Step-by-step explanation:
change () to x
x + -8= -6
-6+8=2
x=2
Can someone help me
Answer:
I think it is the first one ( 2,0)
but if I am wrong I am sorry
Hello there!
The answer is number one or circle one. Because B is right on top of it. Meaning that it's just one whole number and in this case would be 2.
I hope this helps
what are the common multiples of 8 and 12?
Answer:
common multiples: 24, 48, 72, 96
Answer:
common multiples include 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
or 12, 24, 36, 48, 60, 72, 84, 96.
Step-by-step explanation:
Kira runs each lap in 7 minutes. She will run less than 42 minutes today. What are the possible numbers of laps she will run today?
Use n for the number of laps she will run today.
Write your answer as an inequality solved for n.
Answer:
n=6
Step-by-step explanation:
I want to pull all nighter and stay awake for 36 hours. If I woke up at 12 PM, and if it's currently 11:22 PM right now, then how long have I been awake?
( I actually need to know I'm pulling an all nighter to reset my sleep schedule)
Answer:
11 hours and 22 minutes
Timothy puts $1,500 into a savings account. He receives a 1.35% interest rate from his bank.
If he does not add any money to the account and only collects interest, how much will have have by the time he graduates from high school 40 months later ?
Answer:
$2310
Step-by-step explanation:
1500*1.35%=20.25 each month
20.25*40=810
1500+810=2310
f(0) = x - 9
Help if you can?!
Answer:
Substitute the given value into the function and evaluate is
− 9
Please help guys lol I have no clue how to do this... it’s the square root method?
Answer:
2 seconds.
Step-by-step explanation:
s=16t² -- (1)
s=64. (given)
Put value of s in (1)
64=16t²
16t²=64
t²=64/16
t²=4
t=√4
t=2 seconds.
Hope this helps :-)
What is 6/11 as a decimal
Answer:
0.54
Step-by-step explanation:
6 divided by 11 is 0.54-non-terminating therefore we get 0.54
Answer:
0.5455
Step-by-step explanation:
Plz choose mine as brainliest
What is the approximate percentage of December's total sales that skateboards accounted for? A. 27% B. 73% C. 56% D. 17%
Answer:
A
Step-by-step explanation:
I chose that and got it right
18/(18+37+11) = 0.272727... which means approx. 27%.
Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob's checking account?V
Answer:
$702.53
Step-by-step explanation:
Start with Jose's initial balance.
[tex]178.74[/tex]
He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.
[tex]36.52+18.92+25.93[/tex]
Solve.
[tex]81.37[/tex]
Subtract the total amount of the checks from Jose's initial balance.
[tex]178.74-81.37[/tex]
Solve.
[tex]97.37[/tex]
The amount above is now what is in Jose's checking account.
But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.
[tex]300.00+100.00+205.16[/tex]
Solve.
[tex]605.16[/tex]
The amount above is what Jose adds to his checking out.
Add the total value of the deposited money and his new balance.
[tex]605.16+97.37[/tex]
Solve.
[tex]605.16+97.37=702.53[/tex]
5x - 8x + 9 = 2x + 39
Answer:
pliz send me the formula, only dsn I can solve your answer
can someone help me cause apparently nobody knows how to do this
Answer:
do what
Step-by-step explanation:
What is the y-intercept of the function f(x)=4 – 5x?
Answer:
The y intercept is 4
Jillian solved the equation v + 4.3 = 7.05 using the work shown below. * v + 4.3 = 7.05 v + 4.3 − 4.3 = 7.05 + 4.3 v = 11.35 What error did Jillian make?
Answer:
Please check explanation
Step-by-step explanation:
Here, in this question, we are interested in identifying the error made by Jillian in his solution of the equation.
This error is traceable to the second step of his solution. Adding 4.3 to 7.05 and subtracting again is the same thing as not adding anything or just adding zero only.
What he should have done is to subtract the value of 4.3 from both sides of the equation. In that manner, he would have been able to isolate v on the left hand side of the equation
A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
What is the amount of sales tax charged on the repaired computer at Store A?
Answer:
A
Step-by-step explanation:
The amount of sales tax charged on the repaired computer at Store A is 72 dollars.
We have to given that,
A 3-column table with 4 rows.
Column 1 has entries Computer repair, sales tax, gratuity, shipping.
Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free.
Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
Hence, For store A,
The amount of sales tax charged on the repaired computer at Store A is,
6% of 1200
= 6/100 x 1200
= 6 x 12
= 72 dollars
Therefore, the amount of sales tax charged on the repaired computer at Store A is 72 dollars.
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Function Notation
Evaluate the following expressions give the functions below:
F(x)=4x+5 H(x)= x+ 2
g(x)=3x^2-4
1.f(5)=
2.h(-8)=
3.g(2)=
4.f(-4)=
5.h(13)=
6.g(3)=
7.f(6)=
8.h(-9)
Answer:
sorry we can't read such type of this exercise
6-4(2x-3)+10x
Show and explain work
Answer:
18+2x
Step-by-step explanation:
6-4(2x-3)+10x
6-8x+12+10x multiply 2x-3 by -4
18+2x combine like terms
-2 = 7+3v
Solve for v
Answer:
[tex] - 2 - 7 = 3v[/tex]
or,
[tex] - 9 = 3v[/tex]
or,
[tex] - 9 \div 3 = v[/tex]
or,
[tex] -3 = v[/tex]
or,
[tex]v = - 3[/tex]