Answer:
[tex]f(x)=(x+8)^{2}-110[/tex]
Step-by-step explanation:
Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.
[tex]f(x)=x^{2} +16x - 46\\[/tex]
Group;
[tex]f(x)=(x^{2}+16)-46[/tex]
Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;
[tex]f(x)=(x^{2}+16x+64)-46-64[/tex]
Simplify, factor;
[tex]f(x)=(x+8)^{2} - 110[/tex]
When 3a + 7b > 2a - 8b is solved for a, the result is (A) a > -b (B) a -15b
Answer: 4
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
When the inequality 3a + 7b > 2a - 8b is solved, the solution will be,
3a + 7b > 2a - 8b
3a - 2a > -7b - 8b
a> -15b
Hence, When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.
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PLEASE HELP MEEE due in 2 minutes
Answer:
2/7
Step-by-step explanation:
because 14 can be reduced to 7and 4 can be reduced to 2
Answer: (C) 2/7
Step-by-step explanation: 2/7 is the same as 4/14
What is the value of x in the circle on the right?
The value of x is what cm.
(Round to the nearest tenth as needed)
Answer:
2.1
Step-by-step explanation:
Find the number in the tenth place 1 and look one place to the right for the rounding digit 4. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Write an equation in slope intercept form for the line that goes through points (1.4,0) and (1,-2)
Help please! I really need it! please dont guess if you dont know, dont answer.....( this is basic geometry im just dum'b) part 4
Answer:
m<2 = 120
Step-by-step explanation:
When two lines are parallel and are intersected by a transversal, same side exterior angles are supplementary, meaning that their angle measures add up to 180 degrees.
Using this, one can form the equation;
m<8 + m<2 = 180
Substitute,
60 + m<2 = 180
Inverse operations,
60 + m<2 = 180
-60 -60
m<2 = 120
Answer:
Step-by-step explanation:
Solution
<8 = 60 degrees.
<6 is <8s supplement
<6 + <6 = 180
60 + <6 = 180
<6 = 180 - 60
<6 = 120
<2 and <6 are corresponding angles and are therefore equal.
<2 = 120
Great freight a local shipping company charges .40 per pound for shipping if your shipping 20 pounds what would the cost be
Answer:
$8.00
Step-by-step explanation:
For every pound shipped, $0.40 is charged. This can be represented by the mathematical equation: y=0.4x, where x is the pounds to ship and y is the total cost. If we plug in 20 as x to find what the total cost would be, we would have the equation, y=0.4*20, and y would equal 8, meaning that the total cost is $8.00.
28 students picked pizza the the 12 students picked the burgers what percentage of the students picked the pizza
Answer:
yo give me a sec i got you
Step-by-step explanation:
Chord AC intersects chord BD at point P in circle Z. AP=12 m DP=5 m PC=6 m What is BP?
Answer:
BP = 14.4
Step-by-step explanation:
Given 2 chords intersecting inside a circle, then
The products of the measures of the parts of one chord is equal to the product of the measures of the parts of the other chord, that is
BP × DP = AP × PC , that is
BP × 5 = 12 × 6
5BP = 72 ( divide both sides by 5 )
BP = 14.4
Find the domain and range of the relation.
{(-2, 3) (1, 2) (0, -1) (3, 1)}
5. Does the graph represent a function? *
1 point
Yes
O No
Answer:
No
Step-by-step explanation:
i did it on khan
y +3 = x
3x + 4y = 16
Step-by-step explanation:
y+3=x
or 0=x-y-3... ans
3x+4y=16
or, 3x+4y-16=0 answer.......
Jonathan is driving back home from a business trip and covers 400 miles in 5 hours. What is his car average speed in miles per hour?
Answer:
80
Step-by-step explanation:
Miles/Hours
400miles/5hours=80mph
14
Ajit is a barber
He charges £5 for a haircut.
He charges 10% extra for hair gel.
One day 52 customers have a haircut.
16 of these ask for hair gel.
Work out the total amount that Ajit charges his customers that day.
Answer:
y11_maths_foundation_mock_apr18_paper1_answers.pdf
Step-by-step explanation:
use it to get answer
A circle is the set of all points in a plane at a certain distance, its radius, from a certain point, its center.
Which of the following words in the definition is an undefined term used in geometry?
O point
radius
center
o distance
Answer: distance
Step-by-step explanation:
The rest of the words have actual accompanying definitions in geometry.
An undefined term used in geometry is the point.
An undefined term used in geometry?Three undefined concepts, or terms that don't need to be specified separately even though they are utilized to construct more intricate parts, are present in this case of Euclidean geometry.The three terms in geometry that aren't specified are:1. Point2.Line\s3. PlaneIn cartesian space, for example, a point cannot be defined specifically but can be utilized to define any triangle, line segment, or cube among other 2D or 3D objects. Similar to this, a line is nothing more than another arrangement of points that is used to define more intricate objects like a wire. While a plane is simply a group of lines arranged in a specific location and orientation, similar to a piece of land.
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21286272
verify that 1,-1,-3 are the zeroes of the cubic polynomial x3+3x2-x-3 and check the relationship between zeroes and the coefficient
Answer: yea its 123445
Step-by-step explanation:
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
What is a Polynomial?Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns.
As per the given data:
We are given the equation of a cubic polynomial x³ + 3x² - x - 3.
The zeroes of the given cubic polynomial are also given.
We have to verify that the zeroes of the cubic polynomial are correct, and they satisfy the relationship between zeroes and the coefficient.
For a polynomial p(x) is p(a) = 0 then a is a zero of p(x).
Checking the given zeroes similarly:
For 1:
1³ + 3(1)² - 1 - 3 = 0
1 + 3 - 1 - 3 = 0
0 = 0
1 is a zero
For -1:
(-1)³ + 3(-1)² - (-1) - 3 = 0
-1 + 3 + 1 - 3 = 0
0 = 0
-1 is a zero
For -3:
(-3)³ + 3(-3)² - (-3) - 3 = 0
-27 + 27 + 3 - 3 = 0
0 = 0
-3 is a zero
For ax³ + bx² + cx + d = 0, the sum of all the roots should be equal to
= (-b)/a
Similarly, for x³ + 3x² - x - 3:
1 + (-1) + (-3) = (-3)/1
1 - 1 - 3 = -3
-3 = -3
1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
Hence, 1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient is verified.
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Describe what is being done in each step while solving the equation. Match each step with the correct description. HINT: Start with “Original Equation” as the first step.
Angles A and Care supplementary. Find the measure of angle C.
There is a picture
Answer:
106 degrees
Step-by-step explanation:
180 -74 = 106
The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
What are supplementary angles?Two angles are said to be supplementary angles when they add up to 180 degrees.
Two angles are supplementary, if
a). one of its angle is an acute angle and another angle is an obtuse angle.
b). both of the angles are right angles.
This means that if A and B are the two angles then
[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees
According to the given question we have
angles A and C are supplementary
and, [tex]m[/tex]∠A = 74 degrees
therefore,
the measure of angle C is calculated as
[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees (sum of the supplementary angles)
74 + [tex]m[/tex]∠C = 180 degrees ( [tex]m[/tex]∠A = 74 )
[tex]m[/tex]∠C = (180 - 74)degrees ( subtracting 74 degrees both the sides)
[tex]m[/tex]∠C = 106 degrees
Hence, second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
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5) At one store, a 2-liter bottle of soda costs $2.12. At another store, a 3-liter bottle
costs $3.15. Which bottle is a better deal?
Answer:
3 liter
Step-by-step explanation:
you will save $0.01
2.12/2 = 1.06
3.15/3= 1.05
Answer:
The 3-liter bottle is a better deal.
Step-by-step explanation:
The price of each liter for the 2 liter bottle is $1.06, while the price per liter for the 3-liter bottle is $1.05
3 glasses and 3 mugs costs £18.
6 glasses and 4 mugs costs £32.
Find the cost of a glass.
Find the cost of a mug.
Glass: £
Mug: £
Step-by-step explanation:
Suppose the cost of one glass is x
The cost of one mug is y
according to question
[tex]\Rightarrow 3x+3y=18\quad \ldots(i)\\\\\Rightarrow 6x+4y=32\quad \ldots(ii)[/tex]
Solving [tex](i)\ \&\ (ii)[/tex] we get
[tex]\Rightarrow x=4\ \text{and}\ y=2[/tex]
So, the cost of each glass is £4
and cost of each mug is £2
i need help on this
i will give Brainliyest if u answer this Corretly (lie = report)
Answer:B
Step-by-step explanation:
How much more does the 5-year loan cost overall than the 4-year loan?
Answer:
$600 overall
Step-by-step explanation:
Answer:
$600 more overall
Step-by-step explanation:
i'm great at math
PLEASE HELP THIS IS ONE OF MY OVERDUE ASSIGNMENTS AND I NEED HELP!!!
Sarah earned a grade of 80% on the math exam that had 75 problems. How many correct problems did Sara answer?
Answer:
60
Step-by-step explanation:
80/100 times 75 and you will get 60
A man is 32 years older than his daughter and the product of their ages is 320..
(a) Find the ages of the man and the daughter.
(b) In how many years' time will the daughter's age be one- third of her father's age?
Pls help me
The age of the man is 40 years and that of his daughter is 8 years respectively.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Suppose the age of man be x.
Then, age of his daughter is x - 32.
As per the question the following equation can be formed for the product of ages as ,
x(x - 32) = 320
⇒ x² - 32x - 320 = 0
⇒ x = 40, -8
Since, age of a person cannot be a negative value, it is taken as positive.
Thus, the age of daughter is 40 - 32 = 8
Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.
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This is from pre calc
Answer:
The dimensions are 106, 47,116
Step-by-step explanation:
[tex]when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116[/tex]
PROBABILTIES 20 POINTS!!!!
Answer:
WHat do you want me to slove?
Step-by-step explanation:
Answer:
u only gave 10
Step-by-step explanation:
Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan
Answer:
Jordan
Step-by-step explanation:
Generally, the more someone exercises the less they will weigh (while also maintaining a proper diet). John recorded the number of calories he burned and his weight each week. Using a regression model, how much would you expect John to weigh at the end of week 8? (Round your answer to the nearest tenth.)
Need help on the problem and confused on whether or not to use two regression functions.
Answer:
on week 8 he will weight 208 lbs
Step-by-step explanation:
i dont know I guessed and got it right
John weigh 217.7 lbs at the end of 8 week.
What is Regression line?An estimate of the line that depicts the actual, but unidentified, linear relationship between the two variables is called a regression line. When the value of the explanatory variable is known, the regression line's equation is used to predict (or estimate) the value of the response variable.
Given:
Using the regression model
In II nd week the calories is 2950 and weight 250.
and, Vth week the calories is 7400 and weight 216.
let Exercise be x and the weight is y then
= (216 - 250)/ (7400- 2950)
= -9/ 4450
So, at the start of week john weight
y= -9/ 4500 x + 230
Now, At the end of 8 week John weighs
= -9/4500 (6100) + 230
= 217.7
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can you guys help me?
What is theoretical probability of pulling a green marble out of the bag?