Answer:
The zeros are 8 and -10, all u have to do is substitute x for those values, factor it, or graph it.
The zeros of f(x) = x2 + 2x - 80 are -10, 8
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.
zero's are nothing but the roots of the equation which by putting in the equation gives zero value.
Given equation is f(x) = x^2 + 2x - 80 solving it to find the zero's by factorization :
f(x) = x^2 + 2x - 80
f(x) = x^2 + 10x-8x - 80
f(x) = x(x+10)-8 (x + 10)
f(x) = (x+10)(x-8)
Now equating it to zero we get
x= -10, 8
Therefore, the zeros of f(x) = x2 + 2x - 80 are -10, 8
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I need this answer please answer really fast!!!
What two numbers multiply to 27 and also add to -12
Answer:
-3, -9
Step-by-step explanation:
27 = 1*27 -1*-27
3*9 -3*-9
We want it to add to -12
The only choice is -3+-9 = -12
The two numbers are -3, -9
The two numbers that multiply to 27 and add to -12 are -3 and -9.
Explanation:The question is asking to find two numbers that multiply to give 27 and add to give -12. The fact that the product is positive and the sum is negative suggests that the two numbers in question are both negative because when two negative numbers are multiplied, the result is positive. To solve this, you need to think of the pairs of factors of 27, which are (1, 27) and (3, 9). Since we are looking for a sum of -12, the correct pair is (-3, -9) because -3 multiplied by -9 equals 27, and -3 plus -9 equals -12.
A triangle has the dimensions shown. The perimeter of
the triangle would be represented by which type of
expression?
linear expression
4x – 2
quadratic expression
exponential expression
rational expression
3x + 1
Answer:
A. linear expression
Step-by-step explanation:
Just got it right on the test.
Answer:
A
Step-by-step explanation:
edg
The graph of the equation x^2+6x+y^2-16y=-9 is a circle. Choose True or False for each statement
A. The center of the circle is (3,-8). (true or false?)
B. The circle is tangent to the x-axis. (true or false?)
C. The circle has a radius of 64. (true or false?)
Answer:
see the explanation
Step-by-step explanation:
we have
[tex]x^2+6x+y^2-16y=-9[/tex]
Convert the equation of the circle in center radius form
Group terms that contain the same variable
[tex](x^2+6x)+(y^2-16y)=-9[/tex]
Complete the square twice. Remember to balance the equation by adding the same constants to each side
[tex](x^2+6x+9)+(y^2-16y+64)=-9+9+64[/tex]
[tex](x^2+6x+9)+(y^2-16y+64)=64[/tex]
Rewrite as perfect squares
[tex](x+3)^2+(y-8)^2=8^2[/tex]
The center of the circle is (-3,8)
The radius of the circle is 8 units
Verify each statement
A. The center of the circle is (3,-8).
False
The center of the circle is (-3,8)
B. The circle is tangent to the x-axis
True
The circle is tangent to x=5 and x=-11 and is tangent to y=0 and y=16
Remember that y=0 is the x-axis
C. The circle has a radius of 64
False
The radius of the circle is 8 units
Determine the center and radius of the following circle equation:
x2 + y2 – 12x – 18y + 108 = 0
Center:
Radius:
Pls help :)
Answer:
(6, 9 ) and r = 3
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 18y + 108 = 0
Rearrange the x- terms and the y- terms together and subtract 108 from both sides, that is
x² - 12x + y² - 18y = - 108
To obtain standard form use the method of completing the square
add ( half the coefficient of the x and y terms )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 9)y + 81 = - 108 + 36 + 81
(x - 6)² + (y - 9)² = 9 ← in standard form
with centre = (6, 9 ) and r = [tex]\sqrt{9}[/tex] = 3
Phillip has $2,000 and spends $23.75 on supplies. He divides the remaining amount equally among his employees. How much does each employees receive
Each employees receive an amount of $1976.25 / n
Explanation:
Amount of money that Philip has,(we can represent as A) = $2000
Spends, (We can represent as s) = $23.75
Divides the rest equally among each employees.
Let the number of employees = n
To find the amount of money
Money left = A - s
= $2000 - $23.75
= $1976.25
Each employees receive = $1976.25 / n
Therefore ,Each employees receive an amount of $1976.25 / n.
Please provide steps
Answer:
623 mm
Step-by-step explanation:
Divide the figure into two separate figures and then add the ares together. To do this, the bottom nust be a rectangle and the top a square. The dimensions of the rectangle will be 32 x 15 since the opposite sides of a rectangle are always equivalent. The dimensions of the top shape are 13 x 11 since the 26 - 15 = 11.
So now find the area of the rectangles and add them together:
15 x 32 = 480
13 x 11 = 143
143 + 480 = 623
The area of the figure is 623 mm
Graph y=-2x+4 and y=-6x what are the intersections points for x and y
Answer:
The graph is attached.
The intersection point: [tex](-1,6)[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
When the line passes through the origin, the equation is:
[tex]y=mx[/tex]
Where "m" is the slope of the line.
Given the following equation of the line in Slope-Intercept form
[tex]y=-2x+4[/tex]
You notice that:
[tex]m=-2\\\\ b=4[/tex]
Knowing the slope and the y-intercept, you can graph it.
The other line is:
[tex]y=-6x[/tex]
As you can identify, this line passes through the origin and its slope is:
[tex]m=-6[/tex]
Then, you can graph it.
Observe the graph attached.
You can identify that the point in which both lines intersect, is:
[tex](-1,6)[/tex]
What is the slope of the line that passes through the points (-2,-4) and (3,5)
Answer:
the slope is 1.8
Answer:
The slope is 1.8
Step-by-step explanation:
m=9/5=1.8
Lee Jenkins worked the following hours as a manager for a local Pizza Hut: 82,61,7
and 73
How many total hours did Lee work?
Answer:
223 hours
Step-by-step explanation:
Total hours worked by Lee = sum of all the hours worked
That’s
82 + 61 + 7 + 73 = 223 hours
Therefore, Lee worked 223 hours as manager for the local Pizza Hut
Lee Jenkins worked a total of 223 hours by adding the given values of 82, 61, 7, and 73 hours.
Explanation:In this problem, we need to find out how many total hours did Lee work by summing up all the hours given in the problem. The hours worked as given in the problem are 82, 61, 7, and 73. To find the total hours worked, we simply add these values.
The addition becomes 82 + 61 + 7 + 73 = 223
Therefore, Lee Jenkins worked a total of 223 hours as a manager at a local Pizza Hut.
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Reyna has 7 coins worth 5 cents each and 3 coins worth 10 cents each.
If she chooses two of these coins at random, what is the probability
that the two coins together will be worth at least 15 cents?
Answer:
1/5
Step-by-step explanation:
because there is 10 coins and two specific coind you are trying to get and 2/10 simplified is 1/5
The probability that the two randomly selected coins from Reyna's collection will total at least 15 cents is 8/45.
Probability Calculation
To determine the probability that Reyna's two randomly selected coins will total at least 15 cents, we must first calculate the total number of possible outcomes when choosing two coins from the ten that she has (7 nickels and 3 dimes).
Using the combination formula, which is C(n, k) = n! / [k!(n-k)!], we find that the total number of ways to choose 2 coins from 10 is C(10, 2) = 10! / (2!8!) = 45.
The favorable outcomes in this scenario are cases where Reyna picks either two dimes or one nickel and one dime. There is only one way to pick two dimes, and there are 7 ways to pick one nickel and one dime (because she could pick any of her 7 nickels along with one of the 3 dimes). So, there are 7 + 1 = 8 favorable outcomes.
The probability of picking coins that total at least 15 cents becomes the number of favorable outcomes divided by the total number of outcomes, which is 8/45.
Therefore, the probability that the two coins together will be worth at least 15 cents is 8/45.
You deposit $1500 in an account that pays 7% annual interest. Find the balance after 2 years when the interest is compounded daily.
A = $ 1,721.28
A = P + I where
P (principal) = $ 1,500.00
I (interest) = $ 221.28
With daily compounding, $1500 at 7% annual interest for 2 years yields approximately $1721.79. Compound interest accelerates growth.
To find the balance after 2 years with daily compounding interest, we'll use the formula for compound interest:
[tex]\[A = P\left(1 + \frac{r}{n}\right)^{nt}\][/tex]
Where:
[tex]- \(A\) is the amount of money accumulated after \(t\) years, including interest.- \(P\) is the principal amount (the initial amount of money).- \(r\) is the annual interest rate (in decimal).- \(n\) is the number of times that interest is compounded per unit \(t\).- \(t\) is the time the money is invested for, in years.[/tex]
Given:
[tex]- Principal \(P = $1500\)\\- Annual interest rate \(r = 7\% = 0.07\) (in decimal)\\- Compounded daily, so \(n = 365\) (days in a year)- Time \(t = 2\) years[/tex]
Let's calculate the balance [tex]\(A\):[/tex]
[tex]\[A = 1500\left(1 + \frac{0.07}{365}\right)^{365 \times 2}\]\[A \approx 1500\left(1 + \frac{0.07}{365}\right)^{730}\]Now, let's compute the value:\[A \approx 1500 \times (1 + 0.0001917808)^{730}\]\[A \approx 1500 \times (1.0001917808)^{730}\]\[A \approx 1500 \times 1.15183587\]\[A \approx 1727.7538\][/tex]
The corrected calculation gives a balance of approximately $1727.75. This is very close to the initial answer of $1727.67. The slight discrepancy could arise from rounding differences or calculation precision. However, it seems the correct answer is indeed very close to $1727.67, as initially calculated.
Need help with this ASAP not good with angles. Will mark brainliest for first actual answer!
Step-by-step explanation:
[tex] m \angle \: a + 80 \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \therefore \: a = 180 \degree - 80 \degree \\ \huge \red { \boxed{\therefore \: a = 100 \degree}} \\ \\ \huge \purple { \boxed{m \angle \: b = 80 \degree }} \\ (corresponding \: \angle s) \\ \\ m \angle \: c=m \angle \: a \\ (vertical \: \angle s) \\\huge \orange { \boxed{ \therefore \: m \angle \: c = 100 \degree}}[/tex]
amanda is 3 years older than brantley and carlos is twice as old as amanda
Answer:
what is the question??
If 75% of the budget is $1200 what is the full budget
Answer:
$1600 is the full budget
Step-by-step explanation:
1200/3=400
400x4=1600
Answer:
$1600
Step-by-step explanation:
1200 is 3/4 of the budget, so just divide 1200 by 3/4.
Martha estimated there were 80 marbles in a jar for a contest. The actual number of marbles in the jar was 102. What was the percent error of Martha's estimation?
Martha's percent error in estimating the number of marbles in the jar is 21.57%, calculated by finding the difference between her estimate and the actual amount, dividing by the actual amount, and then multiplying by 100.
Explanation:
To calculate Martha's percent error in estimating the number of marbles in a jar, we first determine the difference between the estimated amount and the actual amount.
Actual number of marbles: 102
Estimated number of marbles: 80
Difference: 102 - 80 = 22
Next, we use this difference to find the percent error by dividing the difference by the actual number and then multiplying the result by 100 to get a percentage:
Percent Error = (Difference / Actual number) × 100
Percent Error = (22 / 102) × 100
Percent Error = 0.2157 × 100
Percent Error = 21.57%
Thus, Martha's percent error in her estimation of the number of marbles is 21.57%.
What are complementary angles
Answer:
Complementary angles are two angles that add up to 90 degrees.
Example: 45 + 45 = 90 are complimentary
60 + 30 = 90 are complimentary
Quadrilateral ABCD is inscribed in this circle.
What is the measure of ∠A ?
Enter your answer in the box.
The measure of ∠A is 137°.
Solution:
Given data:
Angle A = 43°
A quadrilateral inscribed in a circle is called cyclic quadrilateral.
∠A and ∠C are opposite angles in a cyclic quadrilateral.
In cyclic quadrilateral, opposite angles are supplementary.
⇒ m∠A + m∠C = 180°
⇒ 43° + m∠A = 180°
Subtract 43° from both sides of the equation, we get
⇒ m∠A = 137°
Hence the measure of ∠A is 137°.
translate “a number x divided by 5 is at least -19” into a inequality
Answer: x/5 ≥ -19
Step-by-step explanation:
4.1.3 How many solutions are there ?
Worksheet
A system of two linear equations in two unknowns have: 4 possible solutions (One, two, Infinitely many and No solutions).The correct options are options C, D, E, F.
One Solution (C): If the two lines intersect at a single point, the system has a unique solution.
Two Solutions (D): This is not a typical outcome for a system of two linear equations in two unknowns. Usually, there is either one solution, no solution, or infinitely many solutions. However, it's worth noting that technically, if the two equations represent the same line, every point on that line is a solution, and you could argue for "two solutions" in that sense.
Infinitely Many Solutions (E): If the two lines are coincident (overlapping), there are infinitely many points of intersection, resulting in infinitely many solutions.
No Solution (F): If the two lines are parallel and distinct, they will never intersect, indicating no solution.
So, C, D, E, and F are correct outcomes
Complete and correct question:
How many possible solutions can a system of two linear equations in two unknowns have? Select all that apply.
A. Four
B. Three
C. One
D. Two
E. Infinitely many solutions
F. No solution
Which statement about the point (2,0) is true?
Answer:
It is on the x - axis
Step-by-step explanation:
Point (2, 0) lie on the x axis
Answer:
It is on the X axis
Step-by-step explanation:
The horizontal line is the x axis and the x coordinate is always given first (x, y) or in this case (2, 0)
find x and y !!!!! (geometry)
The value of x = 11 and y = 11√3.
Solution:
The triangle is right triangle.
θ = 30° and hypotenuse = 22
The value of sin 30° = [tex]\frac{1}{2}[/tex]
The value of cos 30° = [tex]\frac{\sqrt{3} }{2}[/tex]
Using trigonometric formulas,
[tex]$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
[tex]$\sin30^\circ=\frac{x}{\text{22}}[/tex]
[tex]$\frac{1}{2} =\frac{x}{\text{22}}[/tex]
Do cross multiplication, we get
22 = 2x
Switch the sides
2x = 22
Divide by 2, we get
x = 11
[tex]$\cos\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]$\cos30^\circ=\frac{y}{\text{22}}[/tex]
[tex]$\frac{\sqrt{3} }{2} =\frac{y}{\text{22}}[/tex]
Do cross multiplication, we get
[tex]22\sqrt 3 = 2y[/tex]
Switch the sides
[tex]2y=22\sqrt 3[/tex]
Divide by 2, we get
[tex]y= 11\sqrt3[/tex]
Hence the value of x = 11 and y = 11√3.
5. Find the measure of angle A
Answer:
where is the angle if angle is not there nobody can answer this question.
To win a bowling trophy, you need a 3 game total score of at least 500.on the first two games,your scores are 183 and 165.what score do you need on game 3?
Answer:
Step-by-step explanation:152
You would need 152 points on game 3
If both figures have the same perimeter what is the perimeter of each figure,
Yo sup??
perimeter of figure 1 is
2(x+x+5)=2(2x+5)
perimeter of figure 2 is
3x+22
now
4x+10=3x+22
x=12
Hope this helps
Answer:
The correct answer is 58.
Hope this helped!
I need help with number 7 please.
Answer:
lengths, CW from lower left vertical: 2, 5, 6, 3, 2, 2, 1, 5, 4perimeter: 30 mStep-by-step explanation:
The figure appears to be drawn roughly to scale, so that fact can offer clues.
The triangles both have hypotenuses of 5. The only integer lengths for sides that will give a hypotenuse of 5 are side lengths 3 and 4. Right triangles with side lengths 3 and 4 will have an area of (1/2)(3)(4) = 6.
The rectangle at lower left will not have a side length of 3, so its width is 4. Since its area is 8 (width × height), the height of it must be 2. (The rectangle dimensions must be factors of 8.)
The vertical side of the left triangle is then 3. It appears to be divided so the upper segment (the side of the rectangle of area 6) is 1 and the lower segment (part of the right triangle vertical side) is 2.
Then the vertical side of the right triangle is 4, and its horizontal side (left half of the bottom of the upper rectangle) is 3.
Since the height of the upper rectangle is 1, its width must be 6. Then the little tab hanging down on the right must be 2 by 2 (for an area of 4).
Altogether, we have found the lengths to be as marked in the attachment.
___
Summary
The perimeter lengths, CW from the lower left vertical, are ...
2, 5, 6, 3, 2, 2, 1, 5, 4 . . . . meters
The perimeter is their total: 30 m.
A line passes through the points(-9,-9) and (-6,-6)
Fine the slope of the line
Answer:
Slope of the line = 1
Step-by-step explanation:
A line with two points, we are asked to find the slope
We are using the formula
m = (y_2 - y_1) /( x_2 - x_1)
We are provided with some points
( -9 , -9) ( -6 , -6)
x_1 = -9
y_1 = -9
x_2 = -6
y_2 = -6
Insert the values into the equation
m = (y_2 - y_1) / (x_2 - x_1)
m = ( -6 - (-9)) / ( -6 - (-9))
Hint: - * - = +
m =( -6 + 9) / ( -6 + 9)
= 3 / 3
= 1
Slope m = 1
Therefore, the slope of the line = 1
The exact average of a set of six test scores is 92. Five of these scores are 90, 98, 96, 94, and 85. What is the other test score?
Answer:
89
Step-by-step explanation:
92 = (90 + 98 + 96+ 94 + 85 + x )/6
92*6 = 90 + 98 + 96+ 94 + 85 + x
552 - (90 + 98 + 96+ 94 + 85) = x
x = 89
Lily saved 16 coins. She saved ten-can and one-dollar coins only. If she had $5.20, how many ten-cent coins did she have?
____ten-cent coins
Answer:
12
Step-by-step explanation:
Let d represent the number of dimes Lily saved. Then the value of her coins in cents is ...
10d +100(16-d) = 520
-90d +1600 = 520 . . . . . eliminate parentheses, collect terms
-90d = -1080 . . . . . . . . . . subtract 1600
d = -1080/-90 = 12 . . . . . divide by the coefficient of d
Lily has 12 ten-cent coins.
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Answer:
68
Step-by-step explanation:
fg(-2) is equal to f(g(-2)). g(-2)=-6. f(-6)=68
Answer:
g(-2)= 5(-2) + 4 = -10 + 4= -6
f(-6) = 8 - 10(-6)= 8 + 60 = 68
Step-by-step explanation: