Answer:
X2 + 5 X + 6 = 0
Step-by-step explanation:
the 2 is the power of X so dont mistake it for X2
The compound inequality for the graph is _____? This compound inequality is true only if _______?
Answer:
Option (2)
Step-by-step explanation:
Arrow shown on the left hand side of the number line represents the inequality,
x < 5 [No sign of 'equal to' because arrow starts with a hollow circle]
Arrow given on the right hand side of the number line will represent,
x > 18
And these arrows represent the two solution areas of x, so the composite inequality that represents the graph will be,
x < 5 or x > 18
Option (2) will be the answer.
What is the rate of change for y=0.5x+9
Answer:
0.5
Step-by-step explanation:
The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.
Answer:
Slope: 0.5
Y - Intercept: (0, 9)
x y
-18 0
0 9
(pretend that's a graph)
Proportional: Ratios are equivalent.
Non-proportional: Ratos are not equivalent.
-18/ 0 is not equal to 0/9.
Undefined =0
Non-proportional
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
The inches in height will be 18 inches.
Step-by-step explanation:
Okay so we know that the original width is 4 inches and she enlarged that to 12 inches
So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.
So, the width of the photograph grew "times 3" inches
Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches
So in simpler words 12 divided 4 = 3 x 6 = 18 inches
The inches in height will be 18 inches.
Jill has a square with a width of 12 inches, and a height of 18 inches.
Have a wonderful day!
Select all the measurements that are equivalent to 2.4 meters.
0.0024 km
0.024 mm
0.24 cm
240 cm
2,400 mm
Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!
Step-by-step explanation:
The measurements that are equivalent to 2.4 meters are
0.0024km, 240cm and 2400mm.
The correct options are (A), (D) and (E).
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.
A unit conversion expresses the same property as a different unit of measurement.
For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given,
measurement = 2.4 meters
1 meter = 1/1000 km
⇒ 2.4 meter = 2.4 /1000 = 0.0024 km
1 meter = 100 cm
⇒ 2.4 meters = 2.4×100 = 240 cm
1 meter = 1000 mm
⇒ 2.4 meters = 2.4×1000 = 2400 mm
Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.
Learn more about unit conversion here:
https://brainly.com/question/19420601
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Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8
Please discuss the relationship between the value of "a" in a quadratic function [y = a(x - h)2 + k or y = ax2 + bx + c] and the distance the focus is from the vertex. Please give examples to support your conclusion.
Please Help!
Answer:
The given equations are;
y = a·(x - h)² + k or y = a·x² + b·x + c
We have;
(x - h)² = 4·p·(y - k),
Where;
(h, k) are the x, and y coordinates of the vertex
p = The distance from the focus to vertex distance;
Comparing, we have;
y - k = a·(x - h)²
(y - k)/a = (x - h)²
(x - h)² = 4·p·(y - k)
4·p·(y - k) = (x - h)²
∴ 4·p = 1/a
p = 1/(4·a)
Therefore, the focus to vertex distance inversely proportional to the value of a
The distance of every point on the parabola is equidistant from the directrix and the focus
Therefore, the equation of the directrix is y = k - p
For example, we have;
y = 2·x² + 3·x + 1
h = -b/2a = -3/4
k = (4ac - b²)/4a = (4×2×1 - 3²)/(4×2) = -1/8
The coordinate of the focus is (h, k + p) = (-3/4, -1/8 + 1/8) = (-3/4, 0)
The directrix, y = k - p = -1/8 - 1/8 = -1/4
For a point x = 2, we have, y = 2·2² + 3·2 + 1 = 15
The coordinate of the point is (2, 15)
The distance of the point from the directrix = 15 - (-1/4) = 15 + 1/4 = 15.25
The distance of the point from the focus is √((2 - (-3/4))² + (15 - 0)²) = 15.25
Therefore, all points on the parabola have equal distances from the focus and the directrix
Step-by-step explanation:
What is the slope of -2,-5 and 18,-5
Answer:
Quadrant III and Quadrant I
Step-by-step explanation:
Answer:
Zero; 0
Step-by-step explanation:
(-5+5)/(18+2) = 0
One-third cup of black beans provides 20% of the potassium you need daily. You must get the remaining 1,360 milligrams from other sources.
How many milligrams of potassium should you consume daily?
____ milligrams
Im in need of help so please help[ :)))
Pentagon MVEDR is shown on the coordinate grid. Pentagon MVEDR is dilated with the origin as the center of dilation using the rule (x,y)→(23x, 23y) to create pentagon M'V'E'D'R'.
Which statement is true?
Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is greater than 1.
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Pentagon M'V'E'D'R' is larger than pentagon MVEDR because the scale factor is less than 1.
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is greater than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at M at negative 5 comma 2, v at negative 2 comma 3, e at 3 comma 3, d at 3 comma negative 3, r at negative 2 comma negative 3 Vertices labeled with letters.
Given:
Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule [tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex] to create pentagon M'V'E'D'R'.
To find:
The correct statement.
Solution:
If a figure dilated by factor k, then the rule of dilation is
[tex](x,y)\to (kx,ky)[/tex]
Here,
If k>1, then the image is larger than the original figure.
If k<1, then the image is smaller than the original figure.
We have,
[tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex]
Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is
[tex]k=\dfrac{2}{3}<1[/tex]
Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.
Therefore, the correct option is B.
Option (B). Pentagon M'V'E'D'R' is smaller than pentagon MVDER because the scale factor is less than 1.
Transformation of a point by dilation: If a point (x, y) is dilated by a scale factor 'k' about the origin,
image point formed will follow the rule,
(x, y) → (kx, ky)
If k > 1, image will be lager than the preimage.If k < 1, image will be smaller than the preimage.
Given in the question,
Rule for the transformation → [tex](x,y)\rightarrow (\frac{2}{3}x,\frac{2}{3}y)[/tex]
Here, [tex]k=\frac{2}{3}[/tex] which is less than 1.
Therefore, image pentagon M'V'E'D'R' will be smaller than the original pentagon MVDER.
Option (B) will be the correct option.
Learn more about the transformation of a figure here,
https://brainly.com/question/2298651?referrer=searchResults
A boy saved over $5. His father gave him $2. The boy now had $y altogether. Write an inequality in y
Answer:
$7 total
Step-by-step explanation:
$5 + $2 = $7
Form a union for the following sets.
K=2,3, 5, 8)
L={3, 5, 7)
(3,5)
( )
(2,3,5,7,8)
(2,7,8)
Answer:
The union of these sets is:
A U B = {2, 3, 5, 7, 8}Step-by-step explanation:
Given the sets
K = {2, 3, 5, 8}L = {3, 5, 7}The union of two sets K and L is the collection of elements that are in K or in L or in both K and L
The 'union' of two sets is denoted by the symbol 'U'.
Therefore, the union of these sets is:
A U B = {2, 3, 5, 7, 8}Important Note: The duplicate or repeated elements of the sets are written only once.
Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies
Answer:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Step-by-step explanation:
Assume that Mike bought only cookies and hot dogs.
The total can be represented as:
[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)
And the amount spent can be represented as:
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)
Required
Determine the system of equation
Let c represents the number of cookies and h, number of hot dogs.
[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]
And
[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]
Cost of cookies = 0.75 * c
Cost of hot dogs = 1.10 * h
So, we have:
[tex]0.75c + 1.10h = 4.55[/tex]
Hence, the equations are:
[tex]c + h = 5[/tex] and
[tex]0.75c + 1.10h = 4.55[/tex]
Solving for c and h
Make c the subject in [tex]c + h = 5[/tex]
[tex]c = 5 - h[/tex]
Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]
[tex]0.75(5- h) + 1.10h = 4.55[/tex]
[tex]3.75- 0.75h + 1.10h = 4.55[/tex]
[tex]3.75 +0.35h = 4.55[/tex]
Collect Like Terms
[tex]0.35h = 4.55 - 3.75[/tex]
[tex]0.35h = 0.8[/tex]
Solve for h
[tex]h = 0.8/0.35[/tex]
[tex]h = 2.28571428571[/tex]
[tex]h =2[/tex] -- approximated
Recall that:
[tex]c = 5 - h[/tex]
[tex]c = 5 - 2[/tex]
[tex]c =3[/tex]
Ben ran for president of his class. If there are 410 students and he received 70% of the vote, how many students voted for Ben?
Answer:
287
Step-by-step explanation:
70/100*410
(cross out the zeroes then multiply 7 by 41 and you'll get 287)
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?
Answer:
The answer is stan twice
Step-by-step explanation:
simple
Answer:
x=10
Step-by-step explanation:
|8|+|-7| its 15 right?
Answer:
Yes. |8|+|-7| = 15
Step-by-step explanation:
the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15
-8 + 2/3x + 4 = 2x -5-x
PLEASE FIND WHAT X IS!!! Also, please show steps so I can understand!♀️
I will give brainiest to correct answer WITH STEPS!!!
Answer:
3
Step-by-step explanation:
Let's isolate x on one side.
2x - x - 2/3x = -8+5+4
1/3x=1
x=3
Answer:
X = 3
Step-by-step explanation:
-8 + 2/3x + 4 = 2x - 5 - x
2/3x - 2x - x = -5 + 8 - 4
-1/3x = -1
x = -1 * -3
x = 3
HELP I WILL MARK U BRAINEST what is (29/59)*(42/24)
btw / means divide
Answer:
0.86016949152
Step-by-step explanation:
This is the answer because 29 divided by 59 is 0.49152542372 and 42 divided by 24 is 1.75 and 0.49152542372 multiplied by 1.75 is 0.86016949152
which one doesn’t belong?
come to your house to pick it lowest to go with D
Answer:
All of them have different answers so gonna say D because its only one number
Step-by-step explanation:
Hope this helps
sorry If its wrong
Which statement is true about the interval from 40 to 50 minutes?
Answer:
A
Step-by-step explanation:
f(x) = x + 6
x=-2, 0, and 5
Answer:
f(x)=x+6
-2+6
4
when x=0
0+6
6
when x=5
5+6
11
Step-by-step explanation:
Divide using polynomial long division. (Show your work)
Hint: don’t forget the 0x
(x^3-2x^2+4) ÷ (x+3)
Answer:
x^3−2x2+4x+3=x2−5x+15+−41x+3
Step-by-step explanation:
1.Divide the leading term of the dividend by the leading term of the divisor: x3x=x2.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: x2(x+3)=x3+3x2.
Subtract the dividend from the obtained result: (x3−2x2+4)−(x3+3x2)=−5x2+4.
2.Divide the leading term of the obtained remainder by the leading term of the divisor: −5x2x=−5x.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: −5x(x+3)=−5x2−15x.
Subtract the remainder from the obtained result: (−5x2+4)−(−5x2−15x)=15x
3.Divide the leading term of the obtained remainder by the leading term of the divisor: 15xx=15.
Write down the calculated result in the upper part of the table.
Multiply it by the divisor: 15(x+3)=15x+45.
Subtract the remainder from the obtained result: (15x+4)−(15x+45)=−41.
Aubree invested $500 into a mutual fund that paid 3% interest each year compounded annually. Find the value of the mutual fund in 12 years.
Answer:
FV= $712.88
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $500
Number of periods (n)= 12 years
Interest rate (i)= 3% compounded annually
To calculate the future value, we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.03^12)
FV= $712.88
Answer:
25%
Step-by-step explanation:
Because she divided it
how many times larger then 2x10² is 2x10⁸
Answer:
1,000,000 times larger
Step-by-step explanation:
2 x [tex]10^{8}[/tex] = 200,000,000
2 x [tex]10^{2}[/tex] = 200
200,000,000 divided by 200 is 1,000,000
It can also be solved by subtracting the exponents from 10. Then dividing the two number being put the scientific notation.
[tex]10^{8} - 10^{2}[/tex] = [tex]10^{6[/tex]
2 ÷ 2 = 1
Now solve:
1 x [tex]10^{6[/tex] = 1,000,000
What is the slope of the line?
please complete marking the first answer brainliest!
Answer:
$31.56
Step-by-step explanation:
$9.85 × 4 = $39.40
$39.40 25% off is $29.55
6.75% rounded to the nearest cent 6.80%
Sales tax is $2.01
$29.55 + $2.01 = $31.56
Simplify by combining like terms. 7x^2 + 2x^3 - 5x^2 + 3x - 4x^3
(someone plz help)
Answer:
Step-by-step explanation:
2x^2-2x^3+3x
Answer:
Step-by-step explanation:
Add them together
-2[tex]X^3[/tex] + 2[tex]X^2[/tex] + 3x
Candace is considering purchasing a common stock that pays an annual dividend of $3.42 per share. If she purchases 400 shares for $53.18 per share, what would her annual income be from dividends?
Answer:
$1368
Step-by-step explanation:
Income from dividends = price per share x number of dividends purchased
$3.42 x 400 = $1368
This is 8 grade math plZ help me I’m stuck
9514 1404 393
Answer:
y = -3/4x -1
Step-by-step explanation:
The given equation is in the slope-intercept form, which lets you see that its slope is 4/3.
The slope of the perpendicular line will be the negative reciprocal of this:
-3/4
Then the slope-intercept form equation will be ...
y = -3/4x +b . . . . . . for some b
We can find the value of b that makes the line go through (4, -4) by using those values in this equation.
-4 = -3/4(4) +b
-4 +3 = b . . . . . . . . add 3
-1 = b
Then the equation you're looking for is ...
y = -3/4x -1
2n + 3 = -3.2 what is the answer to n
Answer:n=-3.1
Step-by-step explanation:
2n + 3 = -3.2
Subtract 3 on both sides
2n+3-3=-3.2-3
2n=-6.2
Divide 2 on both sides
2n/2=-6.2/2
n=-3.1
Answer:
n= -3.1
Step-by-step explanation:
hope this helps have a nice day :)
For each question, solve for the length of the unknown side, as
denoted by the variable. You may round your answers to the nearest
tenth, if necessary. Make sure you show all steps needed to solve the
problem.
Answer:
[tex]a=9[/tex]
Step-by-step explanation:
In this problem, you can use the Pythagorean Theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) to find what a is. The steps are shown below:
Steps (variables a, b, and c are in italics):
-You can rearrange the formula from the Pythagorean Theorem, which is[tex]a^{2} +b^{2} =c^{2}[/tex] to only get a because we want to know what a is.
Rearranged: [tex]a=\sqrt{c^{2}-b^{2} }[/tex] or [tex]a=-\sqrt{c^{2}-b^{2} }[/tex] It has to ways/options for a because when finding the square root of a number, it can be either positive or negative. But in this problem, it’s going to be positive because we’re finding the length of something.
-Since we know what c and b are, you can plug them into the new formula:
[tex]a=\sqrt{15^{2}-12^{2} }[/tex]
-Simplify it:
[tex]a=\sqrt{225-144}[/tex]
-Subtract inside the radical:
[tex]a=\sqrt{81}[/tex] Then simplify it to get [tex]a=9[/tex].
You can check your answer by putting a back into the original Pythagorean Theorem formula ([tex]a^{2} +b^{2} =c^{2}[/tex]):
Steps
-Plug a, b, and c into the formula [tex]a^{2} +b^{2} =c^{2}[/tex]:
[tex](9)^{2} +(12)^{2} =(15)^{2}[/tex]
-Simplify to get:
[tex]81+144=225[/tex]
-Add:
[tex]225=225[/tex] This is very true. So our answer is correct.
ANSWER: [tex]a=9[/tex]
Sorry for the long explanation, but I hope you understand and that this helps with your question! :)
Answer:
a = 9Step-by-step explanation:
lets make is short and simple
Pythagorean theorem: a² + b² = c²
a² + 12² = 15²
a² = 15² - 12²
a = √81
a = 9