Answer:
2 real zeros at x = - 2 , x = 1
Step-by-step explanation:
f(x) = x² + x - 2
to find the zeros let f(x) = 0 , that is
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 1 = 0 ⇒ x = - 1
there are 2 real zeros , x = - 2 and x = 1
Traveling 65 miles/1 hr, how many minutes will it take to drive 125 miles ?
It would take approximately 115.38 minutes to drive 125 miles at a rate of 65 miles/hour.
How many minutes will it take to drive 125 miles?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given that, the speed or rate is 65 miles/1 hr, how many minutes will it take to drive 125 miles.
First, we need to find the time it takes to travel 125 miles at a rate of 65 miles/hour.
We can use the formula:
Speed = Distance ÷ time.
time = distance / rate
time = 125 miles / 65 miles/hour
time = 25/13 hours
Now we can convert hours to minutes by multiplying by 60:
= 25/13 hours × 60 minutes/hour
= 115.38 minutes
Therefore, the required time is approximately 115.38 minutes.
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Select the correct answer.
Consider functions p and q.
log₂ (x - 1)
p(x)
q (x) = 2* - 1
Which statement is true about these functions?
=
O A.
The x-intercept of function p is the same as the x-intercept of function q.
OB.
The x-intercept of function p is less than the x-intercept of function q.
O C.
The x-intercept of function p is greater than the x-intercept of function q.
OD. The x-intercepts cannot be compared because either p or q does not have an x-intercept
Answer: Click THANKS if you like my answer. have a good day sir/maam #keep safe
D. The x-intercepts cannot be compared because either p or q does not have an x-intercept.
The function q is a constant function and its graph is a horizontal line passing through y = -1. It does not intersect the x-axis, so it does not have an x-intercept.
The function p is a logarithmic function, and its x-intercept is the point at which the graph of p intersects the x-axis. To find the x-intercept of p, we need to set p(x) = 0 and solve for x.
log₂ (x - 1) = 0
2^0 = x - 1
1 = x - 1
x = 2
So the x-intercept of p is x = 2.
Since q does not have an x-intercept, we cannot compare the x-intercepts of p and q. Therefore, the correct answer is D.
Step-by-step explanation:
hope its help <:
Pls help its unit rates n stuff
Answer:
Step-by-step explanation:
1. u would do 315/15 bc y/x=k
2. u would do 81/9
3. u would do 56/2
so basically for the next ones just do the money divided by oz to find the unit rate. Note always do y/x y is the dependent variable and x is the independent variable
The average salary for a Queens College full professor is $85,900. If the average salaries is normally distributed with
standard deviation of $11,000, find the percentage of professors that make more than $75,000.
According to the question approximately 83.89% of professors make more than $75,000 calculated by forming the equation.
Explain equation?When the roots and solutions of two equations match, they are said to be equivalent. The same number, symbols, or expression must be added to or subtracted from both the equation's two sides to produce an equivalent equation. By multiplying or dividing both sides of an equation by a nonzero number, we can also obtain an analogous equation.
This issue can be resolved using the conventional normal distribution. First, we need to standardize the value of $75,000 using the formula:
z = (x - μ) / σ
where x is indeed the value we wish to standardise, is indeed the mean, and is the deviation.
z = (75,000 - 85,900) / 11,000
z = -0.99
Next, we look up the area to the right of z = -0.99 in the standard normal distribution table or by using a calculator. The area to the left of z = -0.99 is 0.1611, so the area to the right of z = -0.99 is:
1 - 0.1611 = 0.8389
Therefore, approximately 83.89% of professors make more than $75,000.
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Assume that the first term of a sequence is -3. Write the first four terms of the sequence if it is an arithmetic sequence with a common difference of -1/3.
Answer:
The first term of the sequence is -3 and the common difference is -1/3. Therefore, the second term of the sequence can be found by adding the common difference to the first term:
second term = first term + common difference
second term = -3 + (-1/3)
second term = -10/3
Similarly, we can find the third term by adding the common difference to the second term:
third term = second term + common difference
third term = -10/3 + (-1/3)
third term = -11/3
And we can find the fourth term by adding the common difference to the third term:
fourth term = third term + common difference
fourth term = -11/3 + (-1/3)
fourth term = -4
Therefore, the first four terms of the sequence are -3, -10/3, -11/3, and -4.
-4(X-1)+2 which of the following is equivalent to the expression
Answer:
-2 ( 2x - 3 )
Step-by-step explanation:
We know that,
( + ) × ( + ) = ( + )
( - ) × ( - ) = ( - )
( + ) × ( - ) = ( - )
Accordingly,
-4 ( x - 1 ) + 2
First, solve the brackets. That is, multiply each term inside the brackets by -4.
- 4x + 4 + 2
Combine like terms.
- 4x + 6
You can take the common factor out of the brackets.
-2 ( 2x - 3 )
If the light is coming from the same position, the length of a person's shadow is proportional to their height. Adam and Cara are standing side-by-side, facing their shadows. Adam is 159 centimeters tall and casts a shadow 105 centimeters in height. If Cara is 140 centimeters tall, how many centimeters will she need to walk forward for the tip of her shadow to be directly in line with Adam's?
What is the area of the composite figure?
Answer:
It is the area of combined shapes of one or more simple polygons and circles.
What is the base of the exponent in the function f(x)=3(8√3) 2x when the function is written using only rational numbers and is in simplest form?
Answer:
We can rewrite the function as:
f(x) = 3(8√3)^(2x) = 3(2^3√3)^(2x)
Using the properties of exponents, we can rewrite this as:
f(x) = 3(2^(3*2x)√3^(2x)) = 3(2^(6x)√(3^(2x)))
Therefore, the base of the exponent is 2.
I need help finding the regression equation pls!
Answer:
i did this in 8th grade. (I'm homeschooled)
Step-by-step explanation:
Heres the best i got
Simplify to create an equivalent expression.
−
4
(
−
11
+
4
n
)
−
3
(
−
2
n
+
9
)
Answer:
Step-by-step explanation:
To simplify this expression, we will distribute the -4 and -3 to the terms inside the parentheses:
-4(-11+4n) - 3(-2n+9)
= 44 - 16n + 6n - 27
= -16n - 17
Therefore, the simplified expression is -16n - 17.
Determine the product. Write your answer in scientific notation.
(15.4 × 102) · (2.8 × 10–4) = ?
A. 431.2 x 10^2
B. 43.12 x 10^-3
C. 4.312 x 10^-1
D. 431.2 x 10^-4
The product of (15.4 × 102) · (2.8 × 10–4) in scientific notation is written as 4.312 x 10⁻¹. Thus, option C is was correct.
How should a product be written in scientific notation?When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, the scientific notation for 650,000,000 is 6.5 108.
⇒ (15.4 × 10²) · (2.8 × 10⁻⁴)
= 15.4 × 2.8 × 10² × 10⁻⁴
= 43.12 × 10² × 10⁻⁴
= 4.312 × 10¹ × 10² × 10⁻⁴
= 4.312 × 10¹⁺²⁻⁴
= 4.312 × 10⁻¹
Thus, The product of (15.4 × 102) · (2.8 × 10–4) in scientific notation is written as 4.312 x 10⁻¹. Thus, option C is was correct.
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100 POINTS + BRAINLIEST
Find a number between 100 and 200 which is also equal to a square number
multiplied by a prime number.
Answer:
Numbers between 100 and 200 which are also equal to a square number multiplied by a prime number are:
108, 112, 116, 117, 124, 125, 128, 147, 148, 153, 162, 164, 171, 172, 175, 176, 180, 188, 192Step-by-step explanation:
A square number is a number that has been multiplied by itself.
For example, 25 is a square number as 5 × 5 = 25.
The square numbers between zero and 200 are:
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196.A prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers (its only factors are 1 and itself).
Since the smallest square number is 4, and our final number needs to be between 100 and 200, we only need to list the primes numbers that are less than 50 as 4 × 50 = 200.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.Begin with the smallest prime number, 2. If we divide 100 and 200 by this prime number, we get 50 and 100. Therefore, to find a number between 100 and 200 that is equal to a square number multiplied by a prime number, the square number should be more than 50 and less than 100. Therefore:
64 × 2 = 12881 × 2 = 162The next smallest prime number is 3. If we divide 100 and 200 by 3 we get 33.33.. and 66.66... Therefore, the prime number 3 should be multiplied by a square number that is more than 33 and less than 67:
36 × 3 = 10849 × 3 = 14764 × 3 = 192The next prime number is 5. If we divide 100 and 200 by 5 we get 20 and 40. Therefore, the prime number 5 should be multiplied by a square number that is more than 20 and less than 40:
25 × 5 = 12536 × 5 = 180Continuing this way, all the numbers that are between 100 and 200, which are also equal to a square number multiplied by a prime number are:
64 × 2 = 12881 × 2 = 16236 × 3 = 10849 × 3 = 14764 × 3 = 19225 × 5 = 12536 × 5 = 18016 × 7 = 11225 × 7 = 17516 × 11 = 1769 × 13 = 1179 × 17 = 1539 × 19 = 1714 × 29 = 1164 × 31 = 1244 × 37 = 1484 × 41 = 1644 × 43 = 1724 × 47 = 188Number between 100 and 200 which is also equal to a square number multiplied by a prime number is 147.
Further Explanation:A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In simpler terms, a prime number is a number that can only be evenly divided by 1 and itself.
To find this number, I first looked for square numbers between 100 and 200. The square numbers within this range are 121 (11 squared) and 169 (13 squared).
I then checked if either of these square numbers could be multiplied by a prime number to equal a number between 100 and 200. After some calculation, I found that 169 cannot be multiplied by a prime number to give a number between 100 and 200. However, 121 can be multiplied by 2 to give 242, which is greater than 200.
Finally, I checked if there were any other square numbers I missed. I found that 7 squared is equal to 49, which when multiplied by 3 (a prime number) gives 147, a number between 100 and 200 that satisfies the problem.
Therefore, the number between 100 and 200 which is also equal to a square number multiplied by a prime number is 147.
I hope this helps!
5/6 plus negative 4/9 minus negative 2
Answer:
Step-by-step explanation:
5/9 + (-4/9) - (-2)
5/9 - 4/9 + 2
[tex]5-4+18/9[/tex]
19/9 or 2.1, 2 1/9
Calculate the rate of power draining per hour if the capacity of the cell phone is 3 600mAh
[tex]\sqrt{2x} + 3 = 8[/tex]2 x + 3 = 8
Answer: x= 6241/2
Step-by-step explanation:
Complete the following table:
Note: Do not round intermediate calculations. Round your final answers to the nearest cent.
Chain discount is a type of discount offered by a seller to a buyer for purchasing a certain amount of goods or services in a series of transactions. The discount is applied incrementally as the buyer meets specific purchasing thresholds.
What is the chain discount?Chain discounts are often used to encourage larger purchases and build customer loyalty. They can be beneficial for both the buyer and the seller, as the buyer receives a discount and the seller increases their sales volume.
Item: Trotter treadmill
List price: $ [tex]3,000[/tex]
Chain discount: [tex]9/4[/tex]
To calculate the net price, we first need to determine the amount of the chain discount.
Chain discount = List price x Chain discount rate
Chain discount = $ [tex]3,000 \times 9/4[/tex]
Chain discount = $ [tex]6,750[/tex]
The net price is the list price minus the chain discount:
Net price = List price - Chain discount
Net price = $ [tex]3,000[/tex] - $6,750
Net price = -$3,750
Therefore, The Net price is = -$3,750
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What is the answer to x3 y3 z3 k?
Answer:
The equation x3+y3+z3=k is known as the sum of cubes problem.
Step-by-step explanation:
5. Find the volume of the cylinder. Leave your
answer in terms of t.
8 cm.
8 cm.
The volume of the cylinder in terms of π is 128π centimetres³.
How to find the volume of a cylinder?The cylinder below has a height of 8 centimetres and a diameter of 8 centimetres. Therefore, the volume of the cylinder can be found as follows:
volume of the cylinder = πr²h
where
r = radiush = height of the cylinderTherefore,
r = 8 / 2 = 4 centimetres
h = 8 centimetres
volume of the cylinder = π × 4² × 8
volume of the cylinder = 128π centimetres³
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si tengo 3657 manzanas y me quitan 84648 pero juan me regala otras 8469 cuantas me quedan para comer?
Answer:
0 (-72522)
Step-by-step explanation:
ahora tienes negativo manzanas
What is an equation for the linear relationship in slope-intercept form?
A. y=2x+3
B. y=12x+3
C. y=12x−3
D. y=−12x−3
A: y=2x+3. This is an equation for the linear relationship in slope-intercept form. The equation states that the value of y is equal to the slope of the line, 2, multiplied by the value of x, plus 3.
What is slope?Slope is a measure of the steepness of a line. It is the ratio between the vertical change in a line (change in y-values) over the horizontal change in the same line (change in x-values). It is also referred to as the rate of change, as it is a measure of how quickly the value of y changes with respect to the x-value.
This equation is used to describe a straight line that has a constant rate of change between two variables. This equation can be used to determine the slope, y-intercept, and x-intercept of a line.
The slope, which is the coefficient of x in the equation (2 in this case), is the rate at which y changes with respect to x. It is the rise over run, or the change in y over the change in x. The y-intercept is the value of y when x is equal to 0 (in this case, it is 3). The x-intercept is the value of x when y is equal to 0 (in this case, it is -3/2).
This equation is often used to represent a linear relationship between two variables, such as the amount of money a person earns in relation to the number of hours they work.
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1. Give the rule for translating a point 4 units left and 8 units up. (2 points)
2. After the translation, where is A located? (2 points)
2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)
4. What are the coordinates of A after the reflection? (2 points)
5. Is the final figure congruent to the original figure? How do you know? (2 points)
The image of the original figure after the translation and reflection is congruent to the original figure.
Translation over a point is what?A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.
1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.
2. Point A after translation is situated at (-2, 9).
3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.
4. Point B is obtained by reflecting point A over the y-axis (2, 9).
5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.
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Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 28 inches long. What is the side length of each piece?
A.14in
B. 14 √2in
C. 14 √3in
D.28 √2in
After cutting the squares, the length of each shorter side (and the side length of each triangular quilt piece) is approximately 14√2 inches i.e. B.
What are squares?
A square is a two-dimensional shape with four straight sides that are of equal length and four right angles (90-degree angles) at the corners. It is a special case of a rectangle, where all four sides are the same length. A square can also be thought of as a special type of rhombus, where the angles are all right angles.
Now,
Since the hypotenuse of each triangle is 28 inches long, we know that this is also the longest side of the right triangle formed by the two shorter sides of the triangle. Let's call one of the shorter sides x.
Using the Pythagorean Theorem, we can find the length of the other shorter side:
c²= a² + b²
28² = x² + x²
784 = 2x²
x² = 392
x = √(392)
x=14√2 in
Therefore, the length of each shorter side (and the side length of each triangular quilt piece) is approximately 14√2 inches (rounded to two decimal places).
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9. If the figure below is made of cubes with 2 cm side lengths, what is its volume? 14 cu. cm. 42 cu. cm. 144 cu.cm 280 cu. cm.
is this correct??
Total volume of shape is =144cu.cm
Formula for Cube VolumeBy knowing the length of the cube's edges, we can quickly determine its volume (V). Assume that "a" is the cube's edge length. The product of length, height, and breadth will then be the V. The cube's volume formula is as follows:
Cube Volume = Length× Width× Height
Volume equals= a× a× a =a³
where "a" denotes the cube's side or edges' length.
GivenLength of each cube = 2cm
Volume of each cube=a³
=2³
=8cm³
Total number of cubes=18
Total volume of shape=18×8
=144 cu.cm
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9x-7=-7 please answer quick
Answer:
x = 0
Step-by-step explanation:
9x - 7 = -7
Add 7 to both sides.
9x - 7 + 7 = -7 + 7
9x = 0
Divide both sides by 9.
9x/9 = 0/9
x = 0
Answer:
x=0
Step-by-step explanation:
Birthday Party!
Sandy and her twin brother Jason are having a birthday party, but... they haven't yet decided how many candy bars to buy.
and they haven't yet decided how many people to invite!
They made a chart to
write down all the
possible combinations
of people and candy
bars so they could
figure out how many people to invite
and how many candy bars to buy.
Across the top is the number of
people they are thinking about
inviting. On the left is the number of
candy bars they are thinking about
buying.
Help them fill out the chart!
Put the number of candy bars that
each person will get in the cell. Look
for patterns as you work to help you
fill the chart out more quickly!
What patterns do you see in the
chart?
How many candy bars will they buy?
1
2
3
4
5
6
7
8
9
10
1
How many people will they invite?
3
5 6
7
8
2
4
5.7 Apprentice Birthday Party Student
Unless otherwise noted, SFUSD Math Core Curriculum is licensed under the Creative Commons Attribution 40 International License
9 10
Based on the information we can infer that the number of candy bars they buy depends on the number of guests you have.
How to find the number of candy bars they are going to buy?To find the number of candy bars they are going to buy we need to look at the graph. In this case, if the maximum number of bars they are going to buy is 10 and the maximum number of people they are going to invite is 10, we can infer that 1 bar would correspond to each person.
Based on the above, we can infer that the relationship is directly proportional between the candy bars and the guests. In accordance with the above, the number of sweets depends on the number of guests.
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A golfer is standing at the tee, looking up to the green on a hill. If the tee is 38 yards lower than the green and the angle of elevation is 15 degrees, find the distance from the tee to the hole.
Answer:
146.82 yards is the distance from tee to hole.
Step-by-step explanation:
Let A is the position of tee and where the golfer is standing.
C is the position of hole.
CB is the vertical distance between greens and tee.
Angle of elevation,
To find: side AC.
Using trigonometric functions, we know that value of sine is:
[tex]sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]
Here [tex]\theta=\angle BAC=15^\circ[/tex]
Perpendicular is side CB.
Hypotenuse is side AC.
[tex]\text{sin}12^\circ=\dfrac{\text{CB}}{\text{AC}}[/tex]
[tex]\implies\text{CB}=\dfrac{38}{\text{sin}15^\circ}[/tex]
[tex]\implies\text{CB}=146.82[/tex]
Hence, 146.82 yards is the distance from tee to hole.
Solve the following. Find the unknown term of the proportion.
Problem:
If 3 pieces of shirts costs Php100. How much are you going to pay for 12 pieces of shirts?
Ps: kung di niyo alam yung sagot wag niyo kunin yung points :))
Answer:
Step-by-step explanation: 12 / 3 = 4, so php100 x 4 = Php400
A car is traveling at a speed of 80 miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
answer is
512
Step-by-step explanation:
1.6x80=128
128x4=512
Choose all the functions that are NOT linear.
A. y = 5 (2x - 1)
B. y = x (3 - x )
C. y= -2x+4
D. y = 1/3x - 5
E. y =5
Answer:
B
Step-by-step explanation:
y = x ( 3-x) = 3x - x^2 the ' x^2 ' makes it nonlinear