Answer:
lesser x = -1.84lesser x = -8.16Step-by-step explanation:
Given the expression
[tex]\left(x+5\right)^2-10=0[/tex]
Add 10 to both sides
[tex]\left(x+5\right)^2-10+10=0+10[/tex]
Simplify
[tex]\left(x+5\right)^2=10[/tex]
[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
solve
[tex]x+5=\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=\sqrt{10}-5[/tex]
[tex]x=\sqrt{10}-5[/tex]
[tex]x=-1.8[/tex]
so
[tex]x+5=-\sqrt{10}[/tex]
Subtract 5 from both sides
[tex]x+5-5=-\sqrt{10}-5[/tex]
Simplify
[tex]x=-\sqrt{10}-5[/tex]
[tex]\:x=-8.2[/tex]
As -1.84 > -8.16
so
lesser x = -1.84lesser x = -8.16Which of the following equations , in it's simplest form , will be equivalent to 3x+2+(-5)?
A: 2+3x+5. B: x-1+x-2+x C: -3-3x-1+x
D: 3-3x
Answer:
The correct answer would be B: x-1+x-2+x
Step-by-step explanation:
First, you would do 2+(-5), from the given equation. Then, it could be simplified to 3x-3. Then, looking at B, you would add the like terms, meaning you would add all the x´s together, and the whole numbers together, giving you 3x-3. I hope I made this easy to understand for you!
ASAP PLEASE!!!
Graph the equation.
y-3 = -x + 4)
Answer:
i think the correct answer is letter D im not sure
Step-by-step explanation:
Can someone help me? And explain it to me pls<3
If the temperature is 77 F what is it in Celsius
Answer:
25 degrees celcius
Step-by-step explanation:
What is the measure of an interior angle of a regular nonagon?
I need help with this
Answer:
The order is from top to bottom just an FYI :)
First blank: 1
Second blank: 7
Third blank: 4
Step-by-step explanation:
I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.
Here is a list of numbers.
32 29 30 37 34 33 31 Work out the median
Answer:
20, 29, 30, 31, 32, 33, 34, 37
~ the median is: 31 +32 / 2 = 31.5
Step-by-step explanation:
1 whole and 9/13 divided by 1/12
Answer: 7 whole and 1/11
Step-by-step explanation: Make 1 9/13 into a improper fraction and flip 1/12 and multiple. Then simplify.
Evaluate the function:
f(x)=x2−4x, find f(−3)
Answer:
f(-3) = 21
Step-by-step explanation:
To solve this, you can replace all x's with -3 and then solve to find the answer.
f(x) = x^2 - 4x
f(-3) = -3^2 - 4(-3)
f(-3) = 9 - (-12)
f(-3) = 21
I hope this helps!
PLEASE FAST SHOW YOUR WORK AND GIVE ANSWER FOR BRAINLIEST AND 15 POINTS
what is the value of 4(2f-3d)+2(2d+e)
Answer:
8f - 8d + 2e
Step-by-step explanation:
8f-12d+4d+2e = 8f - 8d + 2e
Answer:
−8d+8f+5.436564
Step-by-step explanation:
Let's simplify step-by-step.
4(2f−3d)+2(2d+2.718282)
Distribute:
=(4)(2f)+(4)(−3d)+(2)(2d)+(2)(2.718282)
=8f+−12d+4d+5.436564
Combine Like Terms:
=8f+−12d+4d+5.436564
=(−12d+4d)+(8f)+(5.436564)
=−8d+8f+5.436564
Answer:
=−8d+8f+5.436564
What is the value of x
Answer:
4.4
Step-by-step explanation:
10/4=2.5
11/2.5=4.4
250 adults were randomly selected in a grocery store they were asked how they feel about the stores coupon policy 180 were satisfied with the current policy based on the results of the sample 940 adult shop in the Store that day about how many would be expected to be happy with the current coupon policy
Answer:
870
Step-by-step explanation:
250-180=70
940-70=870
Answer:
The answer to this question is 677
How are the functions
f(x) = 16* and
19(x) = 161/2
related?
Answer:
F(x) = 16^x = 8^2x
g(x) = 16^1/2x = 8^x
So you can see the relationship. They are all of the type a^bx form, with same base of a, f(x) will have larger increasing rate.
Step-by-step explanation:
In a system of two linear equations, the lines represented by each equation have the same slope. Which could be the total number of solutions to the system of equation
Answer:
Please see explanation
Step-by-step explanation:
A system of linear equations in two variables represents two lines on graph.
When both the lines have same slope, there can be two cases
Same slope with different y-interceptsWhen two lines have same slope and different y-intercepts, that means that both lines are parallel and parallel lines have no solution.
Same slope with same y-interceptsWhen the slope of both lines is same and the y-intercept is also same, this means that both the equations refer to the same line. This means that the system has infinite number of solutions.
Determine whether the given value of the variable is a solution to the inequality 3b + 2 < 14 when b = 4
Answer:
I dont think it that would be the solution because 14 has to be greater and not equal.
Step-by-step explanation:
3(b) + 2 < 14
3(4) + 2 < 14
12 + 2 < 14
14 < 14
An account with an initial deposit of 3,500 earns 7.25% annual interest, compounded continuously. How much will the account be worth after 30 years? Round to the nearest cent.
Answer: $28,575.05
Step-by-step explanation:
Formula: FV = (1+r/n)^nt
FV = future value of the deposit
P = principal or amount of money deposited
r = annual interest rate (in decimal form)
n = number of times compounded per year
t = time in years.
3,500(1+7.25%)^30=28,575.05468
Carla and Andrew have 29 chocolate chip cookies. Andrew has 8 more than twice Carla’s cookies. How many cookies does each person have?
Step-by-step explanation:
29 cookies
Carla has X cookies
Andrew has 8+ 2X cookies
x + 8 + 2x = 29
3x = 29-8
3x= 21
x = 7 / Carla has 7 cookies
8+ 2x = 8+2•7= 8+14=22 / Andrew has 22 cookies
4 Isabel is designing a new fish tank that is shaped like a triangular prism with lateral faces made of glass. A model of the fish tank and its dimensions are shown below. 10 in 8 in 1 6 in 8 in What is the lateral surface area of Isabel's fish tank?
Answer: 192 in2
AL=(a+b+c)h=(10+8+6)·8=192
Select all ratios equivalent to 2:5
Answer:
Sorry but ummm... you forgot to add a screenshot... :/
Step-by-step explanation:
Maybe post that question again with a screenshot
Answer:
16 : 40
Step-by-step explanation:
it is the only option that will work
Please Help asap!!!
Colin invests £5000 into his bank account.
He receives 10% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
Answer:
Step-by-step explanation:
1500
Answer:
13500
Step-by-step explanation:
7/2x + 1/2x = 10 + 9/2x
Answer:
x=-1/20
Step-by-step explanation:
7/2x+1/2x=10+9/2x
We move all terms to the left:
7/2x+1/2x-(10+9/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/2x+1/2x-(9/2x+10)=0
We get rid of parentheses
7/2x+1/2x-9/2x-10=0
We multiply all the terms by the denominator
-10*2x+7+1-9=0
We add all the numbers together, and all the variables
-10*2x-1=0
Wy multiply elements
-20x-1=0
We move all terms containing x to the left, all other terms to the right
-20x=1
x=1/-20
x=-1/20
Answer:
[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]
How much of the circle is shaded? Write your answer as a fraction in simplest form.
3/7 and 1/4
Answer: 19/28
Step-by-step explanation:
3/7 + 1/4
Find the LCM for 7 and 4
12/28 + 7/28 = 19/28
HELP ASAP!!!!!!!
PLS I NEED THIS TURNED IN IN 10 MINS
Answer:
slope = 2
y-int = 3
Step-by-step explanation:
y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis
slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values
ex, 3 - 1 = 2
0 - (-1) 1
or: 5 - 3 = 2
1 - 0 1
Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
Answer:
18 feet long
Step-by-step explanation:
252 ÷ 14 = 18
:)
A teacher is writing an exam with 60
questions. If she has finished writing 70% of
the questions, how many questions does she
still need to write?
A) 18
B) 20
C) 30
D) 42
Can smb yk..
Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $509 in each account, how much total interests will sh have earned in 3 years? A:$153.00 B:$38.25 C:$76.50 D:$51.00
Interest from first account is :
[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]
Interest form second account is :
[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]
So, total interest is :
[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]
Therefore, total interest is $77.877 .
The cost to rent a truck is $75 flat fee, plus $0.55 per mile driven. The table below shows the total cost of the renting the truck for the first four miles.
Answer:
75+ 0.55x = total amount
75 + (0.55 X 60) = $108
Step-by-step explanation:
x is a variable and represents the number of miles you drive, since you drive 60 miles you should figure out how much is 60 miles then add the flat fee of 75
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Answer:
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Step-by-step explanation:
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Pls help I’m bad at math no matter how much I try
Answer:
no it is not
Step-by-step explanation: