Answer:
4-3(2-x) < 10+x
4 -6 +3x< 10 + x
-2 +3x< 10 +x
2x< 12
x<6
↣ First we solve the Inequality.
[tex]4-3(2-x)<10+x[/tex]
[tex]4-6+3x<10+x[/tex] ↣ Distribute -3 in (2-x) for easier in solving.
[tex]3x-2<10+x\\3x-x<10+2\\2x<12\\x<6[/tex]
Thus, the answer is x < 6.
↣ Therefore, the greatest possible Integer value of x is 5.
Find the slope of the line through the given points:
(-3,-4) and (5, 12)
Leave answer as a fraction.
slope =
Blank 1:
Step-by-step explanation:
the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
it does not matter in what direction we go, but it is important to keep the same direction for the x and the y comparison.
because I prefer to go from left to right, let's go from
(-3, -4) to (5, 12).
x changes by +8 (from -3 to 5).
y changes by +16 (from -4 to 12).
so, the slope is
+16/+8 = 2/1 = 2
Which equation best represents the data shown in the scatter plot below?
A. y = 3/2x + 3
B. y = 11/3x + 4
C. y = −x + 17
D. y = −2x + 31
Answer:
Step-by-step explanation:
c
Which value of m will create a system of parallel lines with no solution?
y=mx-6
8x-4y=12
Answer:
m = 2
Step-by-step explanation:
Rearrange the second equation into slope-intercept form (so that it is formatted the same as the first equation)
8x - 4y = 12
8x - 8x - 4y = -8x + 12
-4y = -8x + 12
-4y/-4 = (-8x + 12)/-4
y = 2x - 3
The slope for this equation is 2.
Equations with the same slope are parallel and therefore have no solution since they can never intersect. Hence, the required value of m is 2.
Find the 60th
term of the arithmetic sequence -27, -24, -21, ...
Answer:150
Step-by-step explanation:
Given u = ⟨2, –8⟩ and v = ⟨8, –2⟩, what is u · v?
Answer:
I think it's C. 0
Step-by-step explanation:
On Edge
You need to paint a decorative garden ornament that is in the shape of pyramid with a square base
that is 9 inches long and has a slant height of 12 inches.
a. A smaller pyramid has linear dimensions that are
times that of the larger pyramid. Does the
smaller pyramid require times the amount of paint? Explain.
b. Another pyramid has the same base lengths but the slant height. Does this pyramid require
the paint as the original pyramid? Explain.
Step-by-step explanation:
Total Surface area of a pyramid is given as
= Lateral surface area + area of base.
Lateral surface area = 1/2×perimeter of base×slant height
given the base is square with side 9 in , and slant height of 12 inches.
therefore, LSA = 1/2(9*4)×12 = 216 in^2
Now, TSA = LSA + Base area = 216+9^2 = 297 in^2
a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).
b) It can not be solved as dimensions are missing in the question.
However, the logic has been explained in the soluion one easily put values to find the solution.
Find the measure of angle A
Answer:
21 degrees
Step-by-step explanation:
Triangles have a total angle of 180 degrees.
This makes our equation:
3x+3+4x+135=180
Subtract 135 from both sides and combine like terms
7x + 3 = 45
Subtract 3 from both sides
7x = 42
Divide both sides by 7
x = 6
Plugging the number in:
3x + 3 =
3(6) + 3 =
21
please help, look at the photo, it’s urgent
Answer:
C
Step-by-step explanation:
Could you help me on my history please
HELPP PEASE THIS IS DUE VERY VERY SOON ILL PICK BRAINLEST
Answer:
d
Step-by-step explanation:
Aye plz help. Im abt to die. Find the perimiter of the shape below.
Answer:
40
Step-by-step explanation:
Add all the sides together which is 40
Answer:35
Step-by-step explanation:
if necessary, round to the nearest tenth and label your answer
10ft
4ft
Answer:
9.2 ftStep-by-step explanation:
[tex]H^2+4^2=10^2\\\\H^2+16=100\\\\H^2=100-16=84\\\\H=\sqrt{84}\approx9.2\ ft[/tex]
Solve for x.
2/5x = 6/5
A: x = 12/25
B: x = 12/5
C: x = 3
D: x = 6
Answer:
C. x = 3
Step-by-step explanation:
2/5(3) = 6/5
6/5 = 6/5, correct!
The cost of making a phone is $152. A store sells the phone for $281.20.
Select all the expressions that could be used to find the percentage of markup for the phone.
Answer:
The store is selling the phone by 185% of its value...
Step-by-step explanation:
You just gotta divide 281.20 (the value of the phone at the store), and divide it up by 152 (its original value). And multiply the result by 100 to get the percentage.
[tex](\frac{281.00}{152})(100) = (1.85)(100) = 185%[/tex]%
3. List the angles of the triangle in order from smallest to largest.
3
4.9
A
3.2
C
a. B, C, A
b. C, A, B
C. B,A,C
d. A,B,C
e. A,C,B
f. CB, A
Answer:
The list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
Step-by-step explanation:
We know that in a triangle the greater angle has the longer side opposite to it.
From the given triangle,
Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.
Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.
Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.
Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
The function h(x) passes through the point (-8,9). What point must lie on h^-1(x)?
Answer:
Step-by-step explanation:
h^-1(x) is the inverse of h(x) so its graph is the reflection of h(x)
in the lines y =- x.
This reflection is (x, y) ---> (y , x)
So the required point is (9, -8)
The point (9, -8) must lie on the inverse function [tex]h^{(-1)}(x)[/tex].
To find the point that must lie on the inverse function [tex]h^{(-1)}(x)[/tex], use the fact that points on the original function and its inverse are reflections over the line y = x.
If the point (-8, 9) lies on the function h(x), then the inverse function [tex]h^{(-1)[/tex](x) will have a point that is the reflection of (-8, 9) over the line y = x.
The coordinates of the reflected point will simply swap the x and y values. So, the point that must lie on [tex]h^{(-1)[/tex](x) is (9, -8).
Therefore, the point (9, -8) lie on the function [tex]h^{(-1)}(x)[/tex].
Learn more about Inverse function here:
https://brainly.com/question/29141206
#SPJ7
Suzie had a 49-question quiz, and she received 59.2%, but 12 questions weren't graded yet.
If all 12 questions are correct, what is the new percentage?
Based on the number of questions in the quiz that Suzie did, if 12 questions were not graded and they were all correct, the new percentage on the quiz is 69.4%
How to find the new percentage?There were 49 questions in the quiz and 12 were not graded. The number that was graded was;
= 49 - 12
= 37 questions
She got 59.2% which means that the number of questions Suzie got correct were:
= 37 x 59.2%
= 21.9
= 22 answers
If the 12 questions were correct, the new percentage would be:
= (22 + 12) / 49 x 100%
= 34 / 49 x 100%
= 0.693877551 x 100%
= 69.4%
Find out more on percentages at https://brainly.com/question/28107595
#SPJ1
PLEASE HELP!!! I don't understand rate of change so please include a bit of an explaination. Use the table to find the rate of change
Answer:
4
Step-by-step explanation:
every 2 servings, 8 oz. every 1 serving, 4 oz.
Answer:
try looking up rise over run method. that's what i was taught to use for rate of change. it's easier so basically it's x over y
Step-by-step explanation:
6,12,11,8,4,1,11,4 median
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
What’s the domain and range ??
Answer:6
Step-by-step explanation:
4
SAVINGS Natalie has $250 in her savings accountinto which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w) = 250 + 10w , where w represents the number of weeks. Write a function g(w) to represent the balance of Natalie's savings account if she withdraws $40 to purchase a new pair of shoes. Describe the translation of f(w) that results in g(w) .
Answer:
[tex]g(w) = 210+ 10w[/tex]
Step-by-step explanation:
Given
[tex]f(w) = 250 + 10w[/tex]
[tex]Withdrawal = \$40[/tex]
Required
Determine g(w)
First, we'll write an expression for g(w)
From the question, we understand that she withdrew $40 from her account balance in w weeks.
This implies that:
[tex]g(w) = f(w) - 40[/tex]
Where f(w) is the account balance in w weeks and $40 is the withdrawn amount
Substitute 250 + 10w for f(w)
[tex]g(w) = 250 + 10w - 40[/tex]
Collect Like Terms
[tex]g(w) = 250 - 40+ 10w[/tex]
[tex]g(w) = 210+ 10w[/tex]
Recall that:
[tex]g(w) = f(w) - 40[/tex]
This means that function f(w) when shifter by 40 units downward, gives g(w)
write an equation of the line that passes through (3, -1) and is parallel to 2x-y=6
If you take a number, times by 5 then subtract 9. You get the same as if you took the number, times by 4 then add 1. What is the number?
Answer:
10Step-by-step explanation:
Let the number be x
5x - 9 = 4x + 15x - 4x = 1 + 9x = 10Proof:
50 - 9 = 40 + 1What is the equation of the line that passes through the points (0, -2)and (0,−5)?
Answer:
Equation of the line: x = 0.
Triangle ABC is located on a coordinate plane. Triangle ABC is transformed to create triangle A'B'C using the rule described below.
(z, y) → (u + 6,z +6)
Are triangles ABC and A'B'C'congruent?
Answer:
What grade is this
Step-by-step explanation:
I can give you the answer but you have to be patient like 30 min
If the shop has 350 fish available for sale, how many of them are goldfish?
goldfish- 30%
betas- 10%
Zebra fish- 20%
Guppies-40%
Answer:
105
Step-by-step explanation:
multiply 350 by .30(30%) and that will tell you how many goldfish there are
Answer:
105 fish my dear
Step-by-step explanation:
please help me with this
Answer:
Hey mate, just subsitute all the G's for -7 and all the H's for 3 in the question. Then put the question number in the blank that the answer matches.
Step-by-step explanation:
Plz help asap easy(not for me) 6th grade question
Answer:
AEI hope this helps!
help please 25 points! :)
Answer:
Please see the attached picture!
Hope this helps! ♡
----------------Keep Exploring ! --------
Algebra 1 easy. Will give brainlest PLZ ASAP!
Answer:
2, -2
Step-by-step explanation:
just test each one
Ryan bys plates and cups for a party. There are 12 plates in a pack and 10 cups in a
pack. He wants an equal number of plates and cups for a the party. What is the least number
of packs of plates and the least number of packs of cups that Ryan must buy?
Help please
Answer:
• 5 packs of plates
• 6 packs of cups
Step-by-step explanation:
5 packs of plates = 60 plates (5×12)
6 packs of cups = 60 cups (6×10)
Answer:
5 packs of plates
6 packs of cups
========================================================
Explanation:
GCF = greatest common factor
LCM = lowest common multiple
The GCF of 12 and 10 is 2 since
12 = 2*610 = 2*5It's the largest factor they have in common together.
Multiply 12 and 10, then divide by the GCF to get the LCM
LCM = (12*10)/GCF = 120/2 = 60
The LCM is 60. We can verify this by looking at a few multiples like so
multiples of 12 are: 12, 24, 36, 48, 60, 72, ...multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, ...The LCM is the amount of plates and cups that match up.
Buying 5 packs of 12 plates gets 5*12 = 60 plates total
Buying 6 packs of 10 cups each gets 6*10 = 60 cups total