Answer:
[tex]x \le -4[/tex]
Step-by-step explanation:
Given
[tex]\qquad16x - 7 \leq -71[/tex]
Required
Solve
Start by adding 7 to both sides
[tex]\qquad16x - 7 + 7 \leq -71 + 7[/tex]
[tex]\qquad16x - 7 + 7 \leq -64[/tex]
[tex]\qquad16x \leq -64[/tex]
Divide both sides by 16
[tex]\frac{16x}{16} \leq \frac{-64}{16}[/tex]
[tex]\frac{16x}{16} \leq -\frac{64}{16}[/tex]
[tex]x \leq -\frac{64}{16}[/tex]
[tex]x \le -4[/tex] --- The solution
Answer:
x < -4
I did this on khan academy
suppose a parabola has an axis of symmetry at x=-2, a maximum height of 8, passes through the point (-6, 2). Wrire the equation of the parabola in vertex form.
Answer:
y = -3/8(x + 2)^2 + 8
Step-by-step explanation:
vertex form is
y = a(x - b)^2 + c where a is a constant and (b,c) is the vertex.
The maximum is at (-2, 8) because x 8 = height and x =-2 is equn. of symmetry
So here we have
y = a(x - (-2))^2 + 8
y = a(x + 2)^2 + 8
Now at the point (-6, 2):
2 = a(-6+2)^2 + 8
2 = 16a + 8
16a = -6
1 = -3/8.
So our equation is y = 3/8(x + 2)^2 + 8
If 3/4 and 12/x are equlvalent, what is the value of x?
Answer:
[tex] \frac{3}{4} = \frac{12}{x} \\ 3x = (12 \times 4) \\ x = \frac{(12 \times 4)}{3} \\ x = (4 \times 4) \\ x = 16[/tex]
Answer:
x = 16
Step-by-step explanation:
so 3/4 = 12/x
you Can multiply 3/4 by 4 to get
12/16 = 12 / x
you can assume x = 16 since the numerators are the same
Make x the subject of r=√x-5
Answer:
x = r² + 5
Step-by-step explanation:
Given
r = [tex]\sqrt{x-5}[/tex] ( square both sides to clear the radical )
r² = x - 5 ( add 5 to both sides )
r² + 5 = x
Find [f g](x) if g(x) = x + 1 and f(x) = 2x ^ 2 - 5x + 8
Answer:
[tex]2x^{2}[/tex] - x + 5
Step-by-step explanation:
g(x)=x+1
f(x)=[tex]2x^{2}[/tex]-5x+8
f∅g(x)=2[tex](x+1)^{2}[/tex]-5(x+1) + 8
= 2([tex]x^{2}[/tex]+2x+1) - 5x - 5 + 8
= [tex]2x^{2}[/tex] +4x +2 - 5x +3
=[tex]2x^{2}[/tex] -x +5
:)
Perimeter of a rectangular concrete slab is 102 feet and it's area is 560 ft.² what is the length of the longer side of the slab
Answer:
The longer length is 35ft
Step-by-step explanation:
Given
[tex]Area = 560[/tex]
[tex]Perimeter = 102[/tex]
Required
Determine the longer length
Represent the length with L and width with W
So, we have:
[tex]L * W = 560[/tex] --- Area
[tex]2*(L+W) = 102[/tex] --- Perimeter
Divide both sides by 2 in:
[tex]2*(L+W) = 102[/tex]
[tex]L + W = 51[/tex]
Make L the subject:
[tex]L = 51 - W[/tex]
Substitute 51 - W for L in [tex]L * W = 560[/tex]
[tex](51 - W) * W = 560[/tex]
[tex]51W - W^2 = 560[/tex]
Reorder the equation
[tex]W^2 - 51W + 560 = 0[/tex]
Expand
[tex]W^2 -35W - 16W + 560 = 0[/tex]
[tex]W(W-35)-16(W-35) = 0[/tex]
[tex](W-16)(W-35) = 0[/tex]
Split:
[tex]W - 16 = 0\ \ \ W - 35 = 0[/tex]
[tex]W = 16\ \ \ W = 35[/tex]
This implies that the longer length is 35ft
The sum of 2 consecutive odd integers is -60.
What are the integers?
I need help!
=======================================================
Explanation:
Consecutive integers are integers that follow one right after another. For example, the set {3,4,5} represents consecutive integers.
Consecutive odd integers are a similar idea but that every value is odd. Example: {7,9,11,13}
Let x be some integer. If we multiply it by 2, then it's always even. So 2x is always even. Adding 1 to it makes it odd. So 2x+1 is odd.
The next odd integer after (2x+1) is (2x+3)
Add those two integers and set that sum equal to -60. Solve for x.
(2x+1)+(2x+3) = -60
4x+4 = -60
4x = -60-4
4x = -64
x = -64/4
x = -16
If x = -16, then
2x+1 = 2*(-16)+1 = -32+1 = -31
2x+3 = 2*(-16)+3 = -32+3 = -29
Then note how -31+(-29) = -60 which confirms our answers.
Triangle ABC was dilated with the origin as the center of dilation to create
A'B'C'.
Which rule best represents the dilation that was applied to Triangle ABC to create A'B'C'?
A. (x, y,) (13x, 13y) C. (x, y,) (x - 3, y + 3)
B. (x, y,) (3x, 3y) D. (x, y,) (½ x, ½ y)
Answer:
this is my answers
B. (X,y) (3x.3y)
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 2 miles?
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 2 miles?
Answer:
3520
Step-by-step explanation:
hope it helps
Which problem can be solved using the equation shown?
Answer: The first one :)
Step-by-step explanation:
solve for y when x=4
-y+5x=2(y+7x)
A. y=18
B. y=7
C. y=4
D. y=-12
Answer:
D.) y=-12
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helped you!! :)
A volunteer group is planting trees at 6 different parks. They planted 70 trees at each park. How many trees did the group plant in all?
Answer:
6x70=420
Step-by-step explanation:
With this probelm, you can add like this 70+70+70+70+70+70 to get the answer (find the first number mentioned that is probably the first thing your mutilplying and second number you can use to mutiply it, it can put it anyway like 6x70 or 70x6
Can you help me on this? Thanks
Answer:
rjjlowiqyyyjjjioiiiffggytdyhhg
For each table, determine whether it shows that X and Y are proportional. If X and y are proportional, fill in the blank with a number in simplest form. I REALLY NEED HELP WITH THIS! Please give a detailed explanation! Will mark brainliest if you have a detailed explanation! Note: it can be a fraction.
Step-by-step explanation:
For table 1,
x = 20 36 56 80
y = 4 6 8 10
Taking 20/4 = 5
36/6 = 6
56/8 = 7
80/10 = 8
The value of x/y is not same in any of the cases. The constant of proportionality is different. It means x and y for this table is not proportional.
For table 2,
x = 28 42 56 70
y = 20 30 40 50
Taking 28/20 = 1.4
42/30 = 1.4
56/40 = 1.4
70/50 = 1.4
The value of x/y is same in each case. The constant of proportionality is same i.e. 1.4 in each case.
[tex]\dfrac{x}{y}=1.4\\\\\dfrac{y}{x}=\dfrac{1}{1.4}\\\\\dfrac{y}{x}=\dfrac{5}{7}\\\\y=\dfrac{5}{7}\times x[/tex]
So, y is 5/7 times of the x.
2) Joe's Beach Horses business rens hones at a beach in momo Bay. He charges a one time foe of $15.00 for the application process and and $18.50 per hour perhome. How much would you expect to pay if you were to nde a home for 6 5 hours for a day?
Answer:
555x+15
x=days
Step-by-step explanation:
The manager of a shopping center wishes to obtain information on the shopping habits of people in the area. The area
contains four neighborhoods of varying populations. The manager suspects that the shopping habits may be different
in different-sized neighborhoods. Which of the following sampling designs would be most effective in gathering the
information the manager requires?
a convenience sample from the area
O a simple random sample from the area
O a cluster sample using the neighborhoods as clusters
O a stratified sample from the neighborhoods in the area
O an online poll that invites all people from the neighborhoods in the area to participate
Answer:
Option C wil be most effective in gathering the information that the manager requires.
Step-by-step explanation:
Internal and external environment influnces any kind of business. we should have proper knowledge of internal and external factors which affects our business.In given case, Taste and preference affects the demand and supply of consumer and shopping center. So manager must take a stratified sample from the neighbourhoods in the area.
Which expression is equivalent to (138+5)?
help pleaseee
Answer HI Did you mean:
138 + 5 plz thx for the points
8(m – 5) = 2(3m - 8)
help
Answer:
m=12
Step-by-step explanation:
it is right
Answer:
m = 12
Step-by-step explanation:
8(m – 5) = 2(3m - 8)
Distribute the 8 to (m-5) and the 2 to the (3m-8)
8m-40=6m-16
Add 40
8m=6m+24
Subtract 6m
2m=24
Divide 2
m=12
Juanita ran 8.3 miles in Week 1 and 12.09 miles in Week 2. She used the subtraction below to determine how much farther she ran in Week 2 than in Week 1.
12.09 minus 8.30 = 4.79. All decimals are aligned. The 0 in 12.09 is crossed out and a 1 is above it. The 2 is crossed out in 12.09 and a 1 is above it.
Which error did Juanita make?
She subtracted instead of added.
She aligned the decimal points incorrectly.
She did not regroup correctly when subtracting.
She made a computational error when subtracting.
Step-by-step explanation:
12.09 - 8.30 = 3.79
The reason why her answer was wrong is because when the '2' gets slashed into a '1' during carry over, it would have been 11 - 8 = 3 instead of a 4. (the 1st column)
The error that Juanita made is that she made a computational error when subtracting.
Answer:
She made a computational error when subtracting.Step-by-step explanation:
She subtracted instead of added.
No, she needed to subtract to find the difference.She aligned the decimal points incorrectly.
No, she did it right.She did not regroup correctly when subtracting.
No, she regrouped correctly.She made a computational error when subtracting.
Yes. She made an error at last step, instead of subtracting 8 from 11 she subtracted 8 from 12 and got the first digit wrong (4 instead of 3).The endpoints of a side of rectangle ANCD in the coordinate plane are at A(3,5) and B(5,1). Find the equation of the kind that contains the given segment. The line segment is AB.
The equation is y=
PLEASE HELP VERY URGENT :(
Answer:
The equation of the line segment AB is:
[tex]y = -2x+11[/tex]
The graph of the line segment AB is also attached.
Step-by-step explanation:
Given the points
A(3,5)B(5,1)Determining the slope between A(3,5) and B(5,1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:5\right),\:\left(x_2,\:y_2\right)=\left(5,\:1\right)[/tex]
[tex]m=\frac{1-5}{5-3}[/tex]
[tex]m=-2[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (3, 5) in the equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 5 = -2(x-3)[/tex]
[tex]y-5 = -2x+6[/tex]
[tex]y = -2x+6+5[/tex]
[tex]y = -2x+11[/tex]
Therefore, the equation of the line segment AB is:
[tex]y = -2x+11[/tex]
The graph of the line segment AB is also attached.
what is the constant of proportionality in the equation x/y=2/9
Answer:
x/y=2/9
y = 9/2 x
Step-by-step explanation:
The constant of proportionality in the equation is 9/2
Answer: C)9/2
Answer:
uh
Step-by-step explanation:
Which points are the verticles of the ellipse? Equations of ellipse
Answer:
This question is solved in detail below. Please refer to the attachment for better understanding of an Ellipse.
Step-by-step explanation:
In this question, there is a spelling mistake. This is vertices not verticles.
So, I have attached a diagram of an ellipse in which it is clearly mentioned where are the vertices of an ellipse.
Vertices of an Ellipse: There are two axes in any ellipse, one is called major axis and other is called minor axis. Where, minor is the shorter axis and major axis is the longer one. The places or points where major axis and minor axis ends are called the vertices of an ellipse. Please refer to the attachment for further clarification.
Equations of an ellipse in its standard form:
[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]
This is the case when major axis the longer one is on the x-axis centered at an origin.
[tex]\frac{x^{2} }{b^{2} } + \frac{y^{2} }{a^{2} } = 1[/tex]
This is the case when major axis the longer one is on the y-axis centered at an origin.
where major axis length = 2a
and minor axis length = 2b
Roger can make 3 bird houses in 5 hours. Which proportion could be used to determine how many bird houses Roger could build in 20 hours?
Answer:
the answer should be 12
Step-by-step explanation:
A die is rolled 200 times with the following results.
Outcome
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?
a.
0.88
c.
0.56
b.
0.34
d.
0.44
==========================================================
Explanation:
Add up all the frequencies that correspond to outcomes that are more than 3
So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88
We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.
The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44
Jessie thinks that the first step in solving the equation shown below could be to use the addition property of his equality. His friend robin thinks that yhe multiplication property of equality could be used first. Who is correct and why? 2/5 x - 3/2 = 5/2 x + 6
Answer:
jessie
Step-by-step explanation:
because math is math
The solution for the given equation is -15/7.
The given equation is [tex]\frac{2}{5}x-\frac{3}{2} =\frac{5}{2}x+6[/tex].
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation can be solved as follows:
[tex]\frac{2}{5}x-\frac{3}{2} =\frac{5}{2}x+6[/tex]
⇒ [tex]\frac{2}{5}x-\frac{5}{2}x=6-\frac{3}{2}[/tex]
⇒ [tex]\frac{4}{10}x-\frac{25}{10}x=\frac{12}{2} -\frac{3}{2}[/tex]
⇒ (-21/10) x =9/2
⇒ x = 9/2 × (-10/21)
⇒ x = 3/1 × (-5/7)
⇒ x = -15/7
Therefore, the solution for the given equation is -15/7.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ6
Help please
Thank you!!!!
Ellie bought 5 chicken wings for $10.00. If Ellie spent $16.00, how many chicken
wings did she buy?
Answer:
In all, she bought 8, or three more.
Step-by-step explanation:
If 5 chicken wings are for ten dollars, that means each wing is 2 dollars.
If each wing is two dollars then you divide the sixteen dollars by 2 dollars getting 8 wings.
Answer:
Ellie can buy 8 chicken wings
Step-by-step explanation:
From what we know, Ellie was able to by 5 chicken wings for $10, when dividing 10 by 5 we now know that each chicken wing could've cost her $2. So in order to find out how many chicken wings she can buy we can divide 16 by 2 and get 8. Hope this helps! :)
A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are: (−1,0), (4,0), (2,4), and (7,4). How long is each side of the rhombus?
Answer:
Each side of the Rhombus is 5 units
Step-by-step explanation:
Since the sides of a rhombus area all equal in length;
Then, the length of a side is enough to get the lengths of the other sides
Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus
We apply the distance formula appropriately to get the distance between the side of the Rhombus
D = √(x2-x1)^2 + (y2-y1)^2
let us use the points (-1,0) and (4,0)
D = √(4 + 1)^2 + (0-0)^2
D = √25
D = 5
ion think anything can beat tha way i feel ab except my fear of loving
Answer:
same is so sad its either cheating or leaving
Step-by-step explanation:
Answer:
my worst fear is losin people...
Step-by-step explanation:
but I gotchu through whatever, aii?
Correct answers only please... thanks!
Answer:
(0,2)
Step-by-step explanation:
Answer:
The new coordinate is (0, 2)
Step-by-step explanation:
From left to right you are changing the x value and from up to down you are changing the y value. In this case, you are adding 3 units from -3 in which your x-coordinate is 0 and also adding 4 units from -2 in which your y-coordinate is 2.
Type the correct answer in each box. The point on the number line shows the opposite of , or the opposite of the opposite of .
Answer:
2.5
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the opposite of the point
Represent the point with x; we have to first, determine point x
From the number line:
[tex]x = -2.5[/tex]
The opposite of number x is -x
[tex]-x = -(-2.5)[/tex]
[tex]-x = 2.5[/tex]
Hence, the opposite of the point is 2.5