C (third graph, the parabola); To find if it is a function or not draw a vertical line on the graph. If the vertical line could never intercept the figure more than once anywhere on the graph then it is a function.
From left to right of the pictures it's the 3rd photo. It's the 3rd photo because it passes the vertical line test witch means if a vertical line was drawn within the middle of the graph it would only pass through one line and not two. The other ones would pass through two lines instead of one. I hope this helped you!
Please help me, thank you.
I do not know what multiplication problem for (8×3,000)+(8×200)+(8×9) is
What is 617,889 rounded to the nearest hundrad thousand
600,000 would be your answer
vote on my answer pplz
1. To solve x/ 0.4 = 10 You would:
a. add 0.4
b. subtract 0.4
c. multiply 0.4
d. divide 0.4
(c) multiply by 0.4
given [tex]\frac{x}{0.4}[/tex] = 10
multiply both sides by 0.4 to eliminate the fraction
x = 0.4 × 10 = 4
and [tex]\frac{4}{0.4}[/tex] = 10
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).
-1
1
-4
4
2 + 5i
2 - 5i
-2 + 10i
-2 - 10i
Answer:
1, -4, 2 + 5i, 2 - 5i
Step-by-step explanation:
First, I factor x^2 + 3x - 4
==> I get: (x - 1) (x +4)
Then, I factor (x^2 - 4x + 29)
==> And I get (2 + 5i) (2 - 5i)
You can use the quadratic formula to factor or use the "X" to solve them.
Hope this help!
Applying the factor theorem, it is found that the roots of the equation are:
[tex]x = 1, x = -4, x = 2 + 5i, x = 2 - 5i[/tex]
The factor theorem states that if [tex]x_1, x_2, ..., x_n[/tex] are roots of a polynomial, it can be written as:
[tex](x - x_1)(x - x_2)...(x - x_n)[/tex]
In this problem:
[tex](x^2 + 3x - 4)(x^2 - 4x + 29) = 0[/tex]
Thus, the roots are the values of x for which either:
[tex]x^2 + 3x - 4 = 0[/tex]
Or
[tex]x^2 - 4x + 29 = 0[/tex]
First, [tex]x^2 + 3x - 4 = 0[/tex]
Which is a quadratic equation with [tex]a = 1, b = 3, c = -4[/tex], thus:
[tex]\Delta = 3^{2} - 4(1)(-4) = 25[/tex]
[tex]x_{1} = \frac{-3 + \sqrt{25}}{2} = 1[/tex]
[tex]x_{2} = \frac{-3 - \sqrt{25}}{2} = -4[/tex]
Thus, [tex]x = 1[/tex] and [tex]x = -4[/tex] are roots.
Then, we solve [tex]x^2 - 4x + 29 = 0[/tex].
The coefficients are [tex]a = 1, b = -4, c = 29[/tex], so:
[tex]\Delta = (-4)^{2} - 4(1)(29) = -100[/tex]
[tex]x_{1} = \frac{-(-4) + \sqrt{100}}{2} = 2 + 5i[/tex]
[tex]x_{2} = \frac{-(-4) - \sqrt{100}}{2} = 2 - 5i[/tex]
Thus, [tex]x = 2 + 5i[/tex] and [tex]x = 2 - 5i[/tex] are also roots.
A similar problem is given at https://brainly.com/question/24380382
Emily has fixed monthly expenses that are taken directly out of her bank account. Emily wants to know how much money she must deposit in her account each month to cover these expenses. How can Emily use an additive inverse to find this amount? A. Emily can add 48 + 12 + 44 to find her total expenses. The additive inverse of this number is the amount Emily must withdraw each month. B. Emily can subtract 48 – 12 – 44 to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month. C. Emily can subtract –48 – (–12) – (–44) to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month. D. Emily can add (–48) + (–12) + (–44) to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month.
Answer:
As you know that Additive inverse of any number
A = - A , For example additive inverse of 2 is -2
or additive inverse of (-2) is 2.
Now, According to the question given
Emily has fixed monthly expenses that are taken directly out of her bank account.
As she wants to know, how much money she must deposit in her account each month to cover these expenses.
So, Expenses are Additive inverse of Deposit or Deposit are additive inverse of Expenses.
Out of the given Options Option D which is, Emily can add (–48) + (–12) + (–44) to find her total expenses. The additive inverse of this number is the amount Emily must deposit each month. is correct.
Answer:
d
Step-by-step explanation:
Find the measure of the indicated angle
(geometry)
The measure of the indicated angle [tex]\angle A$ is 46 degrees[/tex]
We can use the fact that the sum of the angles in a triangle is 180 degrees to solve for the missing angle.
Since we are given that [tex]\angle C = 46^\circ$,[/tex] we can write the following equation:
[tex]m\angle A + m\angle B + 46^\circ = 180^\circ[/tex]
Solving for [tex]$m\angle A[/tex] we get:
[tex]m\angle A = 180^\circ - m\angle B - 46^\circ[/tex]
Since [tex]$\angle B$[/tex] is the missing angle, we can substitute the given information into the equation to solve for its measure:
[tex]m\angle A = 180^\circ - 46^\circ - 46^\circ = 98^\circ - 92^\circ = 46^\circ[/tex]
Therefore, the measure of the indicated angle $\angle A$ is 46 degrees.
For similar question on missing angle.
https://brainly.com/question/28969239
#SPJ3
Find the value of p so that the linear function f(x) with f(p) = 3 and f(-2) = 0 has a slope of 3.
Robert climbs 775 steps in 12 1/2 minutes what was his average steps per minute
What is the smallest power of 10that would exied 999999999991
Final answer:
The smallest power of 10 that exceeds 999,999,999,991 is 10¹² because 999,999,999,991 is just one less than 1,000,000,000,000, which can be expressed as 10¹² in exponential form.
Explanation:
The question asks for the smallest power of 10 that would exceed 999,999,999,991. Understanding how to convert numbers into their exponential form plays a crucial role here. For a power of 10, the exponent tells you how many zeros you'd add to the digit 1 to express that number in long form. For example, 10² is 100, which is a 1 followed by 2 zeros. In the case of 999,999,999,991, we need to find a power of 10 that is just larger than this number.
Observing the number 999,999,999,991, it is just one less than 1,000,000,000,000. If we were to express 1,000,000,000,000 in exponential form, it would be 10¹², because it is a 1 followed by 12 zeros. Therefore, the smallest power of 10 that exceeds 999,999,999,991 is 10¹². This example illustrates how understanding integer powers and exponential notation is essential in solving problems of this nature effectively.
Hello everyone! Can you answer today's question?
Joy ate 1/4 of a pizza. If she divides the rest of the pizza into pieces equal to 1/8 for her family, how many pieces will her family get?
( Marking brainiest today! )
HELP I'M TIMED! Reflect triangle ABC over the y-axis. What is the relationship between the segments created if you connect the points to the line of reflection. I WILL GIVE YOU BRAINLIEST!
This is your answer thanks!
Answer:
they are perpendicular to each other
Step-by-step explanation:
On a drawing scale , yards vary directly as feet . If 2 feet represent 30 yards , how many yards represent 3 feet ?
Final answer:
When considering that yards vary directly as feet and 2 feet represent 30 yards, we determine that 3 feet represent 45 yards by setting up a direct variation proportion.
Explanation:
In the problem where yards vary directly as feet, we are given that 2 feet represent 30 yards. To find out how many yards represent 3 feet, we need to set up a proportion based on the given information that 1 yard equals 3 feet. Using the direct variation, we can create the equation: 2 feet / 30 yards = 3 feet / x yards, where x represents the unknown number of yards.
If we simplify the first ratio, 2 feet is to 30 yards as 1 foot is to 15 yards, since dividing both sides by 2 gives us: 1 foot / 15 yards. Therefore, we can continue the proportion as: 1 foot / 15 yards = 3 feet / x yards.
Now, let's solve for x by multiplying both sides of the equation by the denominator on the right side (x yards) to eliminate the fraction: 1 foot / 15 yards = 3/x, which simplifies to x = 3 * 15. After performing the multiplication, we get x = 45 yards. Therefore, 3 feet represent 45 yards on the drawing scale.
Samara ate 1/3 of a pizza and Vyolet ate 1/5 of the pizza. How much of the pizza did they eat in all?
Math! help me out on the second question?
Polygon A: 20 ft x 60 ft
P = 2(20) + 2(60)
= 40 + 120
= 160
Polygon B: 3 ft x 9 ft
P = 2(3) + 2(9)
= 6 + 18
= 24
Ratio of Perimeters: [tex]\frac{160}{24} = \frac{20}{3}[/tex] = 20:3
Please help and show work!!
[tex]-67\geq5+3n-21\\\\-67\geq3n+(5-21)\\\\-67\geq3n-16\ \ \ \ |+16\\\\-51\geq3n\ \ \ \ |:3\\\\-17\geq n\to n\leq-17\\\\Answer:\ \boxed{B.\ n\leq-17}[/tex]
Please help asap 25 pts
its d. i know for sure had the same question promise no lie
simplify both sides of the equation
Answer: Solve by combining like terms.
Solve for x by simplifying both sides of the equation, then isolating the variable.
x > [tex]-\frac{99}{4}[/tex]
As a decimal is: x > −24.75
On simplify both sides of the inequality the solution for the inequality -2/5x - 9 < 9/10 is x > -247.5.
To simplify both sides of the inequality, we'll perform the necessary mathematical operations step by step:
-2/5x - 9 < 9/10
Step 1: Add 9 to both sides of the inequality to isolate the term with "x":
-2/5x - 9 + 9 < 9/10 + 9
Simplify:
-2/5x < 9/10 + 90/10
Step 2: Combine the fractions on the right side:
-2/5x < (9 + 90)/10
-2/5x < 99/10
Step 3: To eliminate the fraction, multiply both sides by the reciprocal of (-2/5), which is (-5/2). When you multiply an inequality by a negative number, remember to flip the inequality sign:
(-5/2) * (-2/5x) > (-5/2) * (99/10)
Simplify:
x > -5/2 * (99/10)
x > -495/20
Step 4: Reduce the fraction on the right side:
x > -247.5
Now, the simplified inequality is:
x > -247.5
So, the solution for the inequality is "x > -247.5."
To know more about inequality click here :
https://brainly.com/question/29731212
#SPJ2
Pratap puri rowed 10 miles down a river in 2 hours, but the return trip took him 2 and one half hours. Find the rate pratap can row in still water and find the rate of the current.
Answer:
Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.
Step-by-step explanation:
Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours.
We know that, [tex]Speed = \frac{Distance}{Time}[/tex]
So, the speed of Pratap with the current will be: [tex](\frac{10}{2})miles/hour = 5[/tex] miles/hour
and the speed of Pratap against the current will be: [tex](\frac{10}{2.5})miles/hour = 4[/tex] miles/hour.
Suppose, the rate of Pratap in still water is [tex]x[/tex] and the rate of current is [tex]y[/tex].
So, the equations will be........
[tex]x+y= 5 .............................. (1)\\ \\ x-y=4 .............................. (2)[/tex]
Adding equation (1) and (2) , we will get......
[tex]2x=9\\ \\ x=\frac{9}{2}= 4.5[/tex]
Now, plugging this [tex]x=4.5[/tex] into equation (1), we will get.....
[tex]4.5+y=5\\ \\ y=5-4.5 =0.5[/tex]
Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.
Pratap's rowing speed in still water is 4.5 miles per hour, and the speed of the current is 0.5 miles per hour.
Explanation:First, we need to understand that Pratap's velocity, or speed, is the sum of his own rowing speed and the speed of the current when he rows downstream, and the difference of his speed and the current when he rows upstream. To find these speeds, we can use the formula for speed, which is distance/time.
When Pratap is rowing downstream (with the current), he covers 10 miles in 2 hours, giving a speed of 10/2 = 5 miles per hour. When rowing upstream (against the current), he covers the same distance in 2.5 hours, giving a speed of 10/2.5 = 4 miles per hour.
Now, if we add these two speeds together and divide by 2, we get the rowing speed of Pratap in still water (since half the time he gets an assist from the current, and half the time he is fighting against it). This is (5+4)/2 = 4.5 miles per hour.
The speed of the current would be the difference between Pratap's rowing speed and the overall speed when he is rowing downstream, which is 5 - 4.5 = "0.5 miles per hour".
Learn more about Velocity and Speed here:https://brainly.com/question/24909693
#SPJ3
How would you write the name of a ray differently than the name of a line? What symbols would you use?
For a line you would draw a straight line with arrows on each end and for a ray you would draw a straight line with an arrow on only one end (depends on which way ray is pointing)
:)
20 Points
Question in pic
The slope-intercept form of a line:
y = mx + b
m - slope
b - y-intercept
We have
[tex]y=\dfrac{2}{3}x+2[/tex]
therefore the y-intercept is 2
Answer: C) (0, 2)C is the correct answer
Yuri has 2/7 of a bag of carrots. If he eats half the carrots, what fraction of the bag of carrots will she have left ?
Yuri will have 1/7 of a bag of carrots left. This is because half of 2 is 1.
Marco is making a mosaic garden stones using red, yellow, and blue tiles. He has 45 red tiles, 90 blue tile, and 75 yellow tiles. Each stone must have the same number of each color tile. What is the greatest number of stones Marco can make?A.How many of each color tile will Marco use in each stoneB.How can Marco use the GCF to find out how many tiles he has in all?
He has:
45 red tiles
90 blue tiles
75 yellow tiles
Greatest number of stones Marco can make is the GCF of the three numbers above which is 3 × 5 = 15 (Solution attached below)
Pencils come in cartons of 24 boxes. A school bought 50 cartons of pencils for the start school. Each box of pencils cost 2 dollars.How much did the school spend on pencils?
To the nearest tenth of a second, how much time would it take the penny to hit the
ground?
A. 0.5 seconds
B. 0.6 seconds
C. 0.7 seconds
D. 0.8 seconds
B. 0.6 seconds
Because they want you to round to the nearest 10th and 0 is the ground.
Answer:
Option B. 0.6 seconds
Step-by-step explanation:
As given in the table at time t = 0 the maximum height of the penny is 2 meters.
In simpler way we can say the penny has been throw from a height of 2 meters.
Now this process can be represented by the equation of motion
[tex]h=ut+\frac{1}{2}gt^{2}[/tex]
For free fall u = 0
So [tex]h=\frac{1}{2}gt^{2}[/tex]
where h = 2 meters
and g = 9.81 m/sec²
By putting these values in the equation
[tex]2=\frac{1}{2}(9.81)(t)^{2}=4.905t^{2}[/tex]
[tex]t^{2}=\frac{2}{4.905}=0.4077[/tex]
t = √0.4077 = 0.6385 seconds
or t = 0.6 seconds
Answer is option B. 0.6 seconds
The equation of pq is y=4x+3 . The equation of the vt is 2x+8y=6. Rewrite the equation vt in slope-intercept form and determine if pq and vt are perpendicular
y=-1/4x+3/4
Pq Slope * Vt Slope should equal -1
4 * -1/4 = -1 Yes they are perpendicular.
The slope for the first equation is 4, and after transforming the second equation into slope-intercept form the slope is -0.25. Since these slopes are negative reciprocals of each other, the lines pq and vt are perpendicular.
Explanation:The given equations are y=4x+3 (equation of line pq), and 2x+8y=6 (equation of line vt). To find out if these lines are perpendicular, we need to rewrite the second equation in slope-intercept form (y=mx+b). You can achieve this by isolating y.
Here are the steps:
Subtract 2x from both sides of the equation, giving 8y = -2x + 6.Then divide each side by 8 to solve for y, which brings the equation to y= -0.25x+0.75.At this point, you can see that the slope of this line is -0.25.
Line pq has a slope of 4, and line vt has a slope of -0.25. Two lines are perpendicular if their slopes are negative reciprocals of each other. The negative reciprocal of 4 is -0.25, so we can conclude that lines pq and vt are perpendicular.
Learn more about Perpendicular lines here:https://brainly.com/question/18271653
#SPJ12
Essica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80. How many more cookies will Jessica have Martha? If x represents the number of cookies Jessica started with, complete the statements below. The inequality that describes the relationship between the number of cookies each one of them has is x2 - x + 224 ≥ 0. Jessica has at least cookies more than Martha.
I just took the test. For PLATO the first blank is 30 and the second blank is 2.
Answer:
Part 1) The inequality that describes the relationship between the number of cookies each one of them has is [tex]x^{2} -30x+224\geq 0[/tex]
Part 2) Jessica has at least 2 cookies more than Martha.
Explanation:
Let Jessica has x cookies.
Let Martha has y cookies.
Total cookies they have = 30
Equation forms:
[tex]x+y=30[/tex] or [tex]y = 30-x[/tex] .....(1)
Each of them ate 6 cookies from their bag.
Cookies left with Jessica = [tex]x-6[/tex]
Cookies left with Martha = [tex]y-6[/tex]
The product of the number of cookies left in each bag is not more than 80.
[tex](x-6)(y-6) \leq 80[/tex] ....(2)
Substituting [tex]y = 30-x[/tex] in equation (2)
[tex](x-6)(30-x-6) \leq 80[/tex]
=> [tex](x-6)(24-x) \leq 80[/tex]
=> [tex]24x-x^{2}-144+6x \leq 80[/tex]
=> [tex]-x^{2}+30x-144 \leq 80[/tex]
=> [tex]-x^{2}+30x-224 \leq 0[/tex]
Multiplying both sides by -1.
[tex]x^{2} -30x+224 \geq 0[/tex]
Solving this quadratic equation, we get
[tex]x\leq 14[/tex] or [tex]x\geq 16[/tex]
We will take x = 16 (bigger value as Jessica has more cookies)
And y = [tex]30-16=14[/tex]
y = 14
So, Jessica has 16 cookies.
Martha has 14 cookies.
Cookies left in the bag :
Jessica : [tex]16-6=10[/tex] cookies
Martha : [tex]14-6=8[/tex] cookies
Therefore, Jessica has at least 2 cookies more than Martha.
Write 7.264 51 correct to 3 decimal places
ANSWER
[tex]7.26451[/tex] correct to 3 decimal places is [tex]7.265[/tex]
EXPLANATION
We start counting from the first number after the decimal point.
So starting from 2, we count 3 decimal places to the right and land on 4.
Next, we check to see if the number after 4, is greater or equal 5, then we round up, else we round down.
Since that number is 5, it is greater than or equal to 5.
Therefore we round up to obtain [tex]7.265[/tex]
7.264 51 correct to 3 decimal places is 7.265.
What is means to write a number to three decimal places is that after the decimal point, there should be three numbers. It means that the number should be rounded off to the nearest thousandth.
In order to round off to 3 decimal places take the following steps:
Examine the number in the ten thousandth place:
If the number is equal to 5, the number in the thousandth place increases by 1. If the number is greater than 5, the number in the thousandth place increases by 1. If the number is less than 5, the number in the thousandth place remains unchanged.The number in the ten thousandth place is 5, so the number in the thousandth place increases by 1. The number becomes 7.265.
A similar question was answered here: https://brainly.com/question/15338396?referrer=searchResults
5 times 2/4 in simplest form 10 POINTS!!!
Your answer is 5/2.
Steps:
Convert element to fraction
Multiply fractions
Cancel the common factor (1)
--
Hope this helped!
Determine the solution x^2 - 3x -28 ≥ 0
Final answer:
The solution to the inequality [tex]x^2 - 3x - 28[/tex]≥ 0 is found by factoring the quadratic equation to find its roots, which are x = 7 and x = -4. The solution to the inequality is x ≤ -4 or x ≥ 7.
Explanation:
To determine the solution to the quadratic inequality [tex]x^2 - 3x - 28[/tex] ≥ 0, we first need to find the roots of the equation [tex]x^2 - 3x - 28 = 0.[/tex]We can do this by factoring the quadratic expression.
We look for two numbers that multiply to give -28 and add to give -3. These numbers are -7 and +4. So we can rewrite the equation as (x-7)(x+4) = 0. Setting each factor equal to zero gives us the roots x = 7 and x = -4.
Now, we test intervals that are determined by these roots to see where the inequality holds true. The intervals are (-infinity, -4), (-4, 7), and (7, infinity). If we test a number from each interval in the inequality [tex]x^2 - 3x - 28[/tex] ≥ 0, we find that the inequality is true for x ≤ -4 and x ≥ 7. Therefore, the solution to the inequality is x ≤ -4 or x ≥ 7.