Answer:
x² + 18x + 81 = 0
Step-by-step explanation:
For the zero to -9, the equation has to be x + 9.
x = -9
x + 9 = 0
Since the only zero is -9, square the equation. Expand to get the function
(x + 9)² = 0
x² + 18x + 81 = 0
The quadratic function f whose only zero is -9 should be [tex]x^2 + 18x + 81 = 0[/tex]
What is a quadratic function?A quadratic function should be the one of the form f(x) [tex]= ax^2 + bx + c[/tex] , where a, b, and c are numbered with a not equal to zero. The graph of a quadratic function is a curve known as a parabola.
So, For the zero to -9, the equation has to be x + 9.
Now
x = -9
x + 9 = 0
So it can be like (x + 9)² = 0
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245 x 20 remander2/13
a) Find the value of
Write your answer correct to the nearest 10.
b) Find the value of square root of 58 - 29 + 38
Write your answer correct to 2 decimal places.
Answer:
1) 245 x 20 remander2/13 = 4940
2) square root of 58 - 29 + 38
= 8.19
Step-by-step explanation:
245 x 20 remander2/13= 245* 20 2/13
245 x 20 remander2/13= 245 * 262/13
245 x 20 remander2/13= (245*262)/13
245 x 20 remander2/13 =64190/13
245 x 20 remander2/13= 4937.69
245 x 20 remander2/13 = 4940
square root of 58 - 29 + 38
= √(58-29+38)
square root of 58 - 29 + 38
= √(96-29)
square root of 58 - 29 + 38
= √(67)
square root of 58 - 29 + 38
= 8.185
square root of 58 - 29 + 38
= 8.19
As an estimation we are told £3 is €4. Convert £73.50 to euros.
Answer:
£73.5 = € 98
Step-by-step explanation:
Let's use the unitary method
=> £3 = €4
So,
£1 = €4/3
Multiplying both sides by 73.5
£73.5 = € 98
Answer:
€98
Step-by-step explanation:
£3 = €4
£73.5 = €x
Let the unknown euros be x.
Cross multiply
3 × x = 4 × 73.5
3 × x = 294
Divide both sides by 3.
x = 294/3
x = 98
PLZZZZZZZZZZ HLPPPPPPPPP MEEEEEEEEEEEE
Answer:
2 roots.
Step-by-step explanation:
The roots are the same things as the x-intercepts. From -4 to 3, there are two times when the polynomial intersects the x-axis. So, there are 2 roots.
Hope this helps!
Soccer team has 10 players in a tournament there are seven teams and two players on each team drop out how many are there left
Answer:
1 team = 10 players
7 teams = 7×10 players
= 70 players
drop out players:
1 team = 2 players
7 teams = 2×7
= 14 players
how many left ?
= total players - drop out players
= 70 - 14
= 56 players
There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is 6 4/7 , find the number common to both sets of four numbers.
Answer:
Number common to both sides=6
Step-by-step explanation:
Average of first four numbers=5
4*5=20
Average of the last four numbers=8
4*8=32
Average of all seven numbers=6 4/7
7*6 4/7
Find the number common to both sets of four numbers
Solution
4*5=20
4*8=32
32+20=52
7 * 6 4/7
=7*46/7
=46
Number common to both sides=52-46
=6
five whole numbers written in order the mean an the median of the five numbers are the same what is the value of x and y
Answer: 2, 4, 6, 8, 10
Step-by-step explanation:
I need this answer ASAP please! The rectangle in the figure is composed of six squares. Find the side length of the largest square if the side length of the smallest square is 1.
Answer:
7
Step-by-step explanation:
The smallest = 1
Then the 2 off = 4
Then 5, then 6 and finally 7
Sides of the rectangle:
4+4+5=13
6+7= 13
7+4=11
5+6=11
7 units are the side length of the largest square.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.
Given :
Let x be the side length of the second-smallest square.
Since the following size is square and 2 taller than the "x" square, its side length is (x+2).
This indicates that the bottom is longer (2x+x+2).
This can be used to discover expressions for the rectangle's top, left, and right sides. You can solve for x and consequently both dimensions because the top and bottom are identical in length.
Therefore, 7 units are the side length of the largest square.
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E
Given ADEF, which is not equal to cos(F)?
5
5
sin(F).
O sin(D).
tan(F).
COS(D).
D
F
5/5
6
NI
Answer:
what explain more send picture of the question
Step-by-step explanation:
In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Given triangle DEF:
DE = EF (Hence it is an isosceles triangle)
∠F = ∠D ( Isosceles triangle)
cos(F) = cos(D) = 5 / 5√2 = 1/√2
sin(F) = sin(D) = 5 / 5√2 = 1/√2
tan(F) = tan(D) = 5 / 5 = 1
In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1
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Polygon ABCD is plotted on a coordinate plane. If the polygon translates 3 units to the left and 1 unit down, the length of diagonal is units. If the polygon translates 3 units further to the left and four units down, the length of diagonal .
Answer:
2 and remains the same
Step-by-step explanation:
The following table shows the length and width of a rectangle: Length Width Rectangle A 3x + 2 2x − 1 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? 2x + 2; the answer is a polynomial 2x + 2; the answer may or may not be a polynomial 10x + 2; the answer is a polynomial 10x + 2; the answer may or may not be a polynomial
Answer:
the answer is a polynomial 10x + 2
Step-by-step explanation:
Length = 3x + 2
Width = 2x - 1
Perimeter = 2l + 2w
P = 2(3x+2) + 2(2x-1)
P = 6x+4+4x-2
P= 10x+2
A polynomial is an expression consisting of variables. They can have one or more terms.
Answer:
10x + 2; the answer is a polynomial
Step-by-step explanation:
can someone help me plz
Answer:
7 cm
Step-by-step explanation:
The area of a right triangle is given by
A = 1/2 bh
21 = 1/2 y* 6
21 = 3y
Divide each side by 3
21/3 = 3y/3
7 = y
The base is 7 cm
Area formula: A = bh/2
We have a height of 6, a base of y, and a area of 21.
Fill in and solve:
21 = y * 6 / 2
21 = 6y/2
21 = 3y
7 = y
Therefore, the base is 7
Best of Luck!
PLEASE HELP!!
Find the volume of the sphere rounded to the nearest hundredth
Answer:
Step-by-step explanation:
The volume for a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex]. Our radius is 21 inches, so
[tex]V=\frac{4}{3}\pi (21)^3[/tex] and
[tex]V=\frac{4}{3}\pi (9261)[/tex]. Multiplying straight across the top, using the fact that 3.14 is pi:
[tex]V=\frac{116318.16}{3}[/tex] and divide to get that
V = 38772.72 in^3
Look at the table of values below.
Х
у
1.
3
2
7
3
11
Which equation is represented by the table?
O A. y = 2x + 1
OB. y = 3x + 2
O C. y = 4x - 1
OD.y = 5x - 3
=================================================
Explanation:
Each time x goes up by 1, the y value goes up by 4. The slope must be 4/1 = 4.
You can use the slope formula, picking any two points from the table, to get the same result. Let's say we used the first two rows
m = (y2 - y1)/(x2 - x1)
m = (7-3)/(2-1)
m = 4/1
m = 4
So the answer must be y = 4x-1 as its the only equation with a slope of 4.
To find the y intercept, we plug m = 4 and (x,y) = (1,3) into y = mx+b to solve for b. You can use any (x,y) pair from the table. I picked the first row
y = mx+b
3 = 4(1)+b
3 = 4+b
3-4 = b
-1 = b
b = -1
Since m = 4 and b = -1, we go from y = mx+b to y = 4x+(-1) or y = 4x-1
Find the solution to the equation graphically. 10x - 10 = x + 10
Answer: x = [tex]2\frac{2}{9}[/tex]
Step-by-step explanation:
10x - 10 = x + 10
Subtract(x)
9x - 10 = 10
Add(10)
9x = 20
Divide(9)
x = [tex]2\frac{2}{9}[/tex]
Hope it helps <3
Answer:
x = 20/9
Step-by-step explanation:
10x - 10 = x + 10
Subtract x on both sides.
Add 10 on both sides.
10x - x = 10 + 10
Combine like terms.
9x = 20
Divide 9 on both sides.
x = 20/9
A grocer's shop sells carrots, onions and cucumbers.
The ratio of carrots to onions is 3:4
The ratio of onions to cucumbers is 6:5.
Work out the ratio of carrots to cucumbers.
Write the ratio in its simplest form.
Type your answer without using any spaces. You do not need to show any working.
Answer: 3:4
Step-by-step explanation:
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings?
Answer:9.4$ a hour
Step-by-step explanation:
110 - 16 = 94
94 / 10 = 9.4
she makes 9.4$ a hour
<!> Brainliest is appreciated! <!>
Answer:
10h - 16
Step-by-step explanation:
She needs $110 so,
110 = however much she's getting an hour times 10 hours, minus 16 because she already has $16
110 = 10x - 16
Hope this helped, let me know if it's right
Which number sentence is NOT true? A. B. |-3| = -3 C. D. HELP PLEASE ILL GIVE BRAINLIEST!!!
Answer:
it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket
Answer:
A
Step-by-step explanation:
between which to whole numbers does the square root of 119 lie?
Answer:
10 and 11
Step-by-step explanation:
[tex]1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121[/tex]
The [tex]\sqrt{119}[/tex] lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.
Answer:
Between 10 and 11
Step-by-step explanation:
10 squared (10 x 10) is 100 and 11 squared (11 x 11) is 121, the number 119 is between 100 and 121, therefore, the the square root of 119 lies between 10 and 11.
PLEASE HELP NOW!!!!!! I WILL GIVE BRAINLIEST!!!!!!!! How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
A number is divisible by 5 if the digit in the units or ones place is either 0 or 5. We want all digits to be even, so we throw out 5 as a candidate digit.
We're considering all numbers between 1000 and 9999, of which there are 9000. Numbers in this range can have any of the digits 0-9 in the tens and hundreds place, and any of 1-9 in the thousands place.
We also want all digits to be even, which means we can pull from the numbers {0, 2, 4, 6, 8} in the hundreds and tens places, and {2, 4, 6, 8} in the thousands place.
So there are 4*5*5*1 = 100 numbers in this range that are divisible by 5.
I need help ASAP bsnbssbbsb
Answer:
Option A and C
Step-by-step explanation:
An isosceles triangle have:
=> Two equal angles
=> Two sides with the same length
Answer:
A & C
Step-by-step explanation:
The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.
1. Solve.
a) (x + 3)(x - 5) = 0
b) 5(x - 6) (x - 9) = 0
c) (2x + 1) (3x - 5) = 0
d) 2x(x - 3) = 0
Step-by-step explanation:
2x × 3x +(-5×1)=6x-6=o
Answer: A: x=-3, 5
Step-by-step explanation: Use the quadratic equation or solving system method to get x=-3,5 the other questions are similar!
13 At the beginning of 2009, Mr Veale bought a company.
The value of the company was £50 000
Each year the value of the company increased by 2%.
(a) Calculate the value of the company at the beginning of 2017
Give your answer correct to the nearest £100
Answer:
£58,800
Step-by-step explanation:
The answer can be calculated using
FV=p(1+r/n)^nt
P=£50,000
r=2%=0.02
n=12
t=2009 to 2017=8 years
FV=p(1+r/n)^nt
=50,000(1+0.02/12)^12*8
=50,000(1+0.0017)^96
=50,000(1.0017)^96
=50,000(1.1771)
=58,855
FV=58,855
To the nearest £100=£58,800
Please help me, tysm if you do
Answer:
No solutionStep-by-step explanation:
7( r - 2 ) - 9(r - 1) = 3 ( 5 - r ) + ( r - 8 )
Distribute 7 through the parentheses
7r - 14 - 9(r - 1 ) = 3( 5 - r ) + ( r - 8)
Distribute -9 though the parantheses
7r - 14 - 9r + 9 = 3(5 - r ) + ( r - 8)
Distribute 3 through the parantheses
7r - 14 - 9r + 9 = 15 - 3r + r - 8
When there is (+) in front of an expression in parentheses, the expression remains the same
7r - 14 - 9r + 9 = 15 - 3r + r - 8
Collect like terms
7r - 9r - 14 + 9 = 15 - 3r + r - 8
-2r - 14 + 9 = 15 - 3r + r - 8
Calculate
-2r- 5 = 15 - 3r + r - 8
Subtract the number
-2r - 5 = 7 - 3r + r
Collect like terms
-2r - 5 = 7 - 2r
Cancel equal terms on both sides of the equation
- 5 = 7
The statement is False for any value of X.
Hence, there is no solution.
Hope this helps...
Good luck on your assignment...
PLZ HELP ME ASSAPPP, I will name BRAINLIEST!!
Answer:
First picture: 1st choice, -7
Second Picture: Second Choice, f(5)=9
Third Picture: Second Choice, the volume of the basketball when the radius is r
The cost for 3.5 pounds of shrimp is $14.63.
Find the unit price in dollars per pound.
If necessary, round your answer to the nearest cent.
Answer:
$4.18 dollars per pound
Step-by-step explanation:
We can find the price in dollars per pound by dividing the cost by the number of pounds:
14.63/3.5 = 4.18
This means the price in dollars per pound is $4.18
Select the correct answer.
If the range of the function ºf(x) = x/4' is {28, 30, 32, 34, 36}, what is its domain?
Answer:
A is right. domain = {112, 120, 128, 136, 144}
Step-by-step explanation:
The range is the y-coordinate while the domain is the x-coordinate
y = x/4
x = 4y
domain = {4(28), 4(30), 4(32), 4(34), 4(36)}
= {112, 120, 128, 136, 144}
Brian rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that less than 1.
Answer: The probability of getting a total less than 1 is 0%
Step-by-step explanation: The minimum roll for any pair of fair dice is 2. Already greater than 1.
It seems like a trick question, but in probability, you have to consider that some events are impossible!
Please answer this question now in two minutes
Answer:
ABC and DEF
Step-by-step explanation:
they are the only planes that can be parallel
50 POINTS
Evaluate each function if f(x) = 5x3 +1, g(x) = – 2x2, and h(x) = - 4x2 – 2x +5
a. f(-8)
b. 9(-6)
c. h(9)
Answer:
see below
Step-by-step explanation:
f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5
f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559
g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72
h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337
mr smith owns a lot of valued at 12000. It is assessed at 80% of it value. how much tax does he pay if the tax rate if 1.5% of the assessed value.
Find the assessed amount:
12000 x 0.80 = 9600
Multiply the assessed amount by tax rate:
9600 x 0.015 = 144
He pay $144
The amount of tax Mr smith pays if the tax rate is 1.5% of the assessed value will be $144.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage has numerous applications in the real life for example in school marks, salary deduction, and all accounting.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 1%=1/100=0.01.
Value of lot $12000
assessed amount:
12000 x 0.80 = $9600
The tax rate is 1.5% so the tax of the assessed amount will be
$9600 × 0.015 = $144 hence it will be the tax amount that Mr smith needs to pay.
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