The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
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please answer it soon
Samantha drives 95 miles each day. How many miles does she drive in 40 days?
Answer:
Samantha drives 3,800 miles in 40 days.
Step-by-step explanation:
1 day = 95 miles so 40 days = 3,800
95 miles x 40 days = 3,800 miles
You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?
Answer:
14 min on Stairmaster
16 min on Bike
Step-by-step explanation:
s = time on Stairmaster
b = time on bike
System of Equations:
s + b = 30
7s + 12b = 290
let 's' = 30-b
Substitution Method:
7(30-b) + 12b = 290
210 - 7b + 12b = 290
5b + 210 = 290
5b = 80
b = 16
s + 16 = 30
s = 14
Find the perimeter of the triangle in terms of b.
I’m marking branliest
Answer:
7b - 2 = 6b
3b + 7 = 10b
6b + 6b + 10b +10b
12b + 20b
34b
HEEEEEEEEELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Look at the image.
Step-by-step explanation:
(36 ÷ 4) - (36 ÷ 9)
9 - 4
5
(8 × 3) - 12 = 12
24 - 12
12
need help asap will give brainlyest
Answer:
it in a is correct if im wrong it is B
Step-by-step explanation:
The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.
from What height is the beach ball thrown? explain or show your reasoning
2 ft
Step-by-step explanation:
The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get
y = [-16(0) - 2](0 - 1)
= (-2)(-1)
= 2 ft
Therefore, the ball was thrown from a height of 2 ft.
BRAIN TO CORRECT ANSWER!!
A clothing store conducts a survey to determine customer satisfaction.
Which of these methods will produce the most representative sample of the population of store customers?
A. Survey all customers as they arrive at the store on a Monday.
B. Survey all customers who purchase shoes
C. Survey every 10th customer to enter the store.
D. Survey all customers who leave the store without making a purchase
Answer:
C
Step-by-step explanation:
This method is the best because it will survey the customers under one condition : every 10. If the store gets a lot of customers, then this should be easier to do. The rest are mostly dependent on what they do and that influences the survey. However, C makes it so that every 10 people are surveyed.
Answer:
A isnt the correct answer. B doesnt seem reasonable because its one specific item. D means they arent exactly a customer since they didnt buy anything therefore the answer would be C
C is your answer.
not sure about it tho but its what i would put
Simplify: (-7x - 5) - (-9x2 + 8x + 7). Choose the standard form of the answer.
Answer:
-15x - 12 + 9x^2
Step-by-step explanation:
(-7x - 5) - (-9x^2 + 8x + 7)
-7x - 5 + 9x^2 - 8x -7
-15x - 12 +9x^2
what is that 2 by the 9x
We will simplify the given expression to get:
9x^2 - 15x - 12
How to simplify the given expression?
Here we have the expression:
(-7x - 5) - (-9x^2 + 8x + 7)
To simplify it, we just perform the difference between the polynomials:
-7x - 5 + 9x^2 - 8x - 7
Now we group terms with correspondent powers of x:
9x^2 + (-7x - 8x) + (-5 - 7)
Now we simplify this:
9x^2 - 15x - 12
This is the quadratic equation simplified.
If you want to know more about simplification, you can read:
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Answer:
a) 0
b) -5
Step-by-step explanation:
We want to find f(x) = -4
This means find the value of x where y=-4
The value of x where y=-4 is x=0
Then find f(2)
This means find the value of y when x =2
The value of y when x=2 is -5
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
Explain how an equation is like a balanced hanger plzzz answer due today
You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?
Answer:
There are 59,049 different ways of answering the exam.
Step-by-step explanation:
The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.
Here, the selections are each one of the 10 questions, so we have 10 selections.
And each one of these selections has 3 options (true, false, blank)
So, we have 10 selections with 3 options each, then the total number of combinations will be:
C = 3*3*3*3*3*3*3*3*3*3 = 3^10
C = 59,049
There are 59,049 different ways of answering the exam.
28.
If 30% of a number is 15, what is the number?
No links!!
I will report if say something wrong.
Will give brainlest
Answer:
50
Step-by-step explanation:
30% * n = 15
Change to decimal form
.30 *n = 15
Divide each side by .30
.30n/.30 = 15/.30
n =50
The number is 50
help pls i can give brainliest?
Identify the solution to the system of equations.
I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3
Answer:
lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb
Step-by-step explanation:
PLEASE HELP ME I NEED THE ANSWER
Answer:
72 yd^3
Step-by-step explanation:
Answer:
Volume of this pyramid is 72.
An example for my question before
Answer:
angle c is 82 degree because 82 degree and angle c are corresponding angles.
Step-by-step explanation:
note :corredponding angles are always equal.
the sum of co interior angle id 180 degree.alternate angle are equalthe sum of co exterior angle is 180 degreethe sum of alternate exterior angle is 180 degreeAlan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds. Alan begins driving at 1:40 p.m. and arrives at City B at 4:15 p.m. Margot’s trip from City A to City B can be described with the equation y = 64x, where y is the distance traveled in miles and x is the time in minutes spent traveling. Who gets from City A to City B faster?
Answer:
Margot gets from A to B faster
Step-by-step explanation:
Alan takes 2 hr and 35 min = 2. 58... hr
Margot takes 147/64 hr = 2.296.. hr
A TV is priced at $475.25. There is a 7% sales tax rate. What is the sales tax for the TV in dollars and cents?
Answer:
$33.27
Step-by-step explanation:
Complete the missing parts of the table for the following function. y=7x
Answers: 49, 1, 49
Those values go in the blanks from left to right
=====================================================
Explanation:
The rule we use is x^(-k) = 1/(x^k)
That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.
Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.
Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.
Lastly, 7^2 = 7*7 = 49 will go in the third box.
the ratio of sparrows to finches at the bird feeder is 3 to 4. If there were 12 sparrows, how many finches were there? explain
Answer:
16
Step-by-step explanation:
3 sparrows for every 4 finches
12 sparrows
12÷3= 4
4×4= 16
16 finches
Type the expression that results from the following series
of steps:
Start with x and multiply by itself.
Answer: x^2 (the ^ represents that the next number is an exponent)
Step-by-step explanation:
Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.
Guys I need help on all three please
Answer:
graph 1 proportional
graph 2&3 is non proportional
i think
Find the rate of change from the table.
==================================================
We're asked to find the slope:
m = slope
m = (y2-y1)/(x2-x1)
m = (50-20)/(4-2)
m = 30/2
m = 15
The rate of change is 15. Each time x goes up by 1, y increases by 15.
slope = rise/run = 15/1
rise = 15, run = 1
I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.
Which polynomial represents (3x2 + x - 4)(2x - 5)?
A.6x3 + 13x2 + 3x - 20
B.6x3 - 13x2 - 13x + 20
C.6x3 + 13x2 + 3x + 20
D6x3 - 13x2 - 13x - 20
The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]
Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
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Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?
Answer:
The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.
Step-by-step explanation:
which ones plsss help
A mountain has a 21-degree slope. The mountain reaches an altitude of 468 feet. If you hike to the top of the mountain, starting at sea level, how far will you hike?
Answer:
1306 feet
Step-by-step explanation:
sin∅ = opp/hyp
sin21 = 468/hyp
hyp = 468/sin21
hyp = 1305.920355304657206
Rounded
1306 feet
NO LINKS PLEASE
EXPLANATION REQUIRED
I WILL GIVE BRAINLIEST
DONT MINF MY PRO CROPPING. DEFF.
ALSO ITS NOT C
Answer:
B is the correct answer
Step-by-step explanation:
Subtract area of triangle from total area: 30 - 14 = 16Since the figure is a square, all the sides are equal. Therefore, we need to find the square root of 16: √16 = 4All the sides of the square are 4 cm longTo check, reverse application:4 x 4 = 1616 + 14 = 30