Answer:
c
Step-by-step explanation:
c Which system of linear inequalities has the point (2, 1) in its solution set? Which system of linear inequalities has the point (2, 1) in its solution set?
y less-than negative x + 3. y less-than-or-equal-to one-half x + 3 On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second dashed straight line has a negative slope and goes through (0, 3) and (3, 0). Everything to the left of the line is shaded.
y less-than negative one-half x + 3. y less-than one-half x. On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (0, 3) and (4, 1). Everything below the line is shaded. The second dashed straight line has a positive slope and goes through (0, 0) and (2, 1). Everything below and to the right of the line is shaded.
y less-than-or-equal-to negative x + 3. y less-than-or-equal-to one-half x + 2 On a coordinate plane 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below the line is shaded. The second line has a negative slope and goes through (0, 3) and (3, 0). Everything below and to the left of the line is shaded.
y less-than one-half x. y less-than-or-equal-to negative one-half x + 2v
The system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.
The solution set is given as:
[tex](x,y) = (2,1)[/tex]
The above solution set is true for x + 2y ≤ 4 and 2x - y > 0, and the proof is as follows:
Substitute 2 for x and 1 for y in x + 2y ≤ 4 and 2x - y > 0.
So, we have:
[tex]\mathbf{2 + 2\times1 \le 4 }[/tex]
[tex]\mathbf{2 + 2\le 4 }[/tex]
[tex]\mathbf{4\le 4 }[/tex] --- this is true, because 4 is less than or equal to 4
Also, we have:
[tex]\mathbf{2x - y > 0}[/tex]
[tex]\mathbf{2 \times 2 - 1 > 0}[/tex]
[tex]\mathbf{4 - 1 > 0}[/tex]
[tex]\mathbf{3> 0}[/tex] --- this is also true, because 3 is greater than 0
Hence, the system of linear inequalities x + 2y ≤ 4 and 2x - y > 0 has (2,1) in its solution set.
Read more about inequalities at:
https://brainly.com/question/11702933
Gary's pay is $15 per hour. He receives a 6% pay raise.
The question is incomplete, the complete question is;
Gary's pay is $15 per hour. He receives a 6% pay raise.
Which method can Gary use to correctly calculate his new hourly pay rate?
Choose Yes or No for each method.
Answer:
Multiply 15 by 0.06 and add the result to 15 is the correct method
Step-by-step explanation:
Now when you are told to obtain the percentage, it simply means to multiply the given percentage by the number.
Here is what i mean;
6% of 15 simply means
6/100 * 15
Or
0.06 * 15 = 0.9
Since his basic pay of $15 was increased by this percentage, we have to add $0.9 so we have;
15 + 0.9 = $ 15.9
*
4/3*3.14*2.6*2.6*2.6
Answer:
73.58
Step-by-step explanation: This is just a guess so I may be wrong. So when I put this into the calculator, it is showing a big number: 73.58485333 so what I did was round it to the nearest hundredths which is 73.58 so hope this helps somebody :)
Plz help my teacher isn’t emailing my back
Answer:
ugh'
Step-by-step explanation:
12 and 4 i could be wrong sozStep-by-step explanation:
Write the expanded form
21.061
Answer:
(2 x 10) + (1 x 1) + (0 x 0.1) + (6 x 0.01) + (1 x 0.001).
HELPPPPPPP PLEASE I HAVE TO SUBMIT IN 20 MINS!!!!!!
Find cot 0 if tan 0 = 2
Answer:
1/2
Step-by-step explanation:
cot0=1/tan0
plug in tan0=2
cot0=1/2
Write the expanded form of the following:
a) 21.061
b) 0.358
c) 506.0201
d)126.00
Answer:
a) 21.061
20+1+0.0+0.06+0.001
b)0.358
0+0.3+0.05+0.008
c)506.0201
500+0+6+0.0+0.02+0.000+0.0001
d)126.00
100+20+6
Happy New year ✨
write an equation in slope intercept form given slope and point for following (9,-4) slope 2/3 please helpppp
Answer:
y=2/3x -10
Step-by-step explanation:
y= m x + b
m=slope
slope = 2/3
b= y-intercept
plot point (9,-4) and count down two, left three, until reach y axis.
How can I find the answer for number 1 and 4 with explanation?
Answer:
Concept: Sequences & Series
The hint here is to try to find the common factor, you asked us to solve 1 so see the solution below.
1,-3,9, -27 : We see a common base of 3 hence we can find that the series representation is [tex]( - 3) ^{n-1} [/tex]Next we can find the next 3 terms by just plugging in the values
We want the 6th, 7th, and 8th term
So we plug 6 in for n and 7 in for n and 8 in for n
So we get the 6th term=-243
The 7th term= 729
The 8th term= -2187
Answer:
Step-by-step explanation:
1) 1 , -3 , 9 , -27 , 81 ,...........
It is Geometric sequence
ratio = 2 term ÷ first term = -3 ÷ 1 = -3
1st term = 1
2nd term = 1 * -3 = -3
3rd term = -3 *(-3) = 9
4th term = 9 *(-3) = - 27
6th term = 81 *(-3) = -243
7th term = -243 *(-3) = 729
8th term = 729 *(-3) = -2187
Next 3 terms: - 243 , 729 , - 2187,....
4)
[tex]\frac{1}{2}, \frac{1}{2} , \frac{3}{8} , \frac{1}{4} ,\frac{5}{32},.....\\\\\\Rule = \frac{n}{2^{n}}\\Term1 = \frac{1}{2^{1}}=\frac{1}{2}\\\\Term2 = \frac{2}{2^{2}}=\frac{2}{4}=\frac{1}{2}\\\\Term3 = \frac{3}{2^{3}}=\frac{3}{8}\\\\Term4 = \frac{4}{2^{4}}=\frac{4}{16}=\frac{1}{4}\\\\Temr5 = \frac{5}{2^{5}}=\frac{5}{32}\\\\Term6 = \frac{6}{2^{6}} = \frac{6}{64} = \frac{3}{32}\\\\Term7 = \frac{7}{2^{7}}=\frac{7}{128}\\\\Term8 =\frac{8}{2^{8}} = \frac{8}{256}=\frac{1}{32}\\\\[/tex]
Next 3 terms are : 3/32 , 7/128 , 1/32
can anyone answer this?
A pound of apple costs $2.50. Represent the cost of n pounds.
Answer:
2.50n
Step-by-step explanation:
If im reading this right you're trying to represent the number of n pounds, so 2.50 * n
say you had 3 pounds:
2.50 (3) = 7.50
What is RU?
A.20
B.30
C.12
D.15
Answer:
a
Step-by-step explanation:
The segment RT is a perpendicular bisector and means Δ RSU is isosceles, then the 2 legs are congruent, that is
RS = RU , substitute values
8x = 6x + 5 ( subtract 6x from both sides )
2x = 5 ( divide both sides by 2 )
x = 2.5
Thus
RU = 6x + 5 = 6(2.5) + 5 = 15 + 5 = 20 → a
Karen and James both had 30 stocking stuffer items on their shopping list. After black Friday shopping Karen had finished 35% of her shopping After black Friday shopping James had finished 60% of his shopping HOW MANY MORE items has James purchased than Karen?
Answer: 7.5 items
Step-by-step explanation:
Both Karen and James had 30 stocking items.
Karen bought 35% of her items;
= 35% * 30
= 10.5 items
James has bought 60%;
= 60% * 30
= 18 items
= 18 - 10.5
= 7.5 items
GIVING BRAINLIEST OUT FOR WHOEVER IS CORRECT AND FAST!
Look closely at the screenshot.
Answer:
Yes the standard form is 3 * 10^7+73
3*10^7+7*10+1*3
= 3 * 10^7+73
Step-by-step explanation:
hope this helps,
Please give brainliest if you like my answer,
Have a great day
Answer:
14x10∧8
Step-by-step explanation:
Isaac is purchasing two pairs of shoes—one pair for $37.00 and the second pair for $42.00. The state sales tax applied to Isaac’s bill is 7%. How much is Isaac’s total bill? If Isaac uses a coupon entitling him to a 25% discount off the purchase price before tax, how much will his bill be? Assume that a 7% sales tax is applied to the discounted price. Using words, explain how you found the discounted price.
please help me on this! will give you brainliest, ty:,
Answer: 4^9
Step-by-step explanation:
4^-7 is just 1/4^7 so this is equal to 4^2 divided by 1/4^7. Dividing by a fraction is the same thing as multiplying by its reciprocal (just flip the fraction). So this whole equation is equal to 4^2 multiplied by 4^7. And when you multiply two exponents with the same base, the exponents are just added. So, your answer should be 4^9. Hope this helps! :)
What is the approximate circumference of the circle shown below
Answer: A) 46.5 cm
Step-by-step explanation:
Circumference = 2 π r or Circumference = π d
In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.
π ≈ 3.14.
We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.
C = π d
= (3.14)(14.8)
= 46.47 cm, which rounds to 46.5 cm
3.41 rounded to the nearest tenth please help
Answer:
3.4
Step-by-step explanation:
Find the solution of
−
6
(
2
x
+
1
)
=
54
.
Answer:x-5
Step-by-step explanation:
-6(2x+1)=54
Distribute:
-12x-6=54
Add 6 on both sides:
-12x-6+6=54+6
-12x=60
Divide 12 on both sides:
-12x/-12=60/-12
x=-5
Thomas can process a pile of paperwork in 4 hours less time than Frank. Together they can process the pile in 2.1 hours. How long would it take Frank to do the job alone?
Answer:
F = 7 hours
Step-by-step explanation:
Let the time taken by Frank to work alone be F.
Translating the word problem into an algebraic equation;
Thomas alone takes (F - 4) hours.
Combine time = 2.1 hours
Their individual work rate expressed in piles per hour are;
Frank = 1/F
Thomas = 1/(F - 4)
Combined rate = 1/F + 1/(F - 4)
Simplifying the equation, we have;
Combined rate = (F - 4 + F)/F(F - 4)
Combined rate = (2F - 4)/F(F - 4)
Combined rate = (2F - 4)/(F²- 4F)
Now to find the time taken when they work together is;
(2F - 4)/(F²- 4F) = 1/2.1
Cross-multiplying, we have;
2.1*(2F - 4) = F² - 4F
4.2F - 8.4 = F² - 4F
Rearranging the equation, we have;
F² - 4.2F - 4F + 8.4 = 0
F² - 8.2F + 8.4 = 0
Solving the quadratic equation by factorization;
Factors = -7 and -1.2
F² - 7F - 1.2F + 8.4 = 0
F(F - 7) - 1.2(F - 7) = 0
(F - 7)(F - 1.2) = 0
Therefore, F = 7 or 1.2 hours
The time taken by Frank alone would be 7 hours.
WHATS THE SLOPE BETWEEN THE POINTS (-2,8) AND (4,20)
Answer:
m = 12 / 6 = 2 / 1 = 2
Step-by-step explanation:
helpppp i need the answer fast it’s timed
X ≤ 2 x ≥ 2 -4 < x ≤ -2 -4 < , x, ≤ -2 -4 ≤ x ≤ -2 What is the domain of the function?
Answer:
really hard and strong but am interested
WILL GIVE BRAINLLIEST
9 is 10% of what number
Answer: the answer is 90 bro
Step-by-step explanation:
If this is this then what is what
Answer:I feel like I should understand this
Step-by-step explanation:
Is x = 3 a solution to the equation below? (substitute and check if they equal each other)
2(2x+1)+x=8x+2-3x
need step by step explanation
Answer:
yes
Step-by-step explanation:
2(2(3)+1) + 3= 8(3)+2-3(3)
14+3=24+2-9
17=17
Solve for y
*show your work *
6y - 3x = 12
1/2 x + 1/4 y = 2
Step-by-step explanation:
if negative sign is there we must add and if positive sign is there subtraction should be written there.....
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x = 25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
29° + (4x + 9)° + (x + 17)° = 180°
Step 2: Solve for x
Combine like terms: 5x + 55 = 180Isolate x term: 5x = 125Isolate x: x = 2512 - x
If x = 7, what is the value of the expression above?
Answer:
5
Step-by-step explanation:
12-7=5
Answer:
5
Step-by-step explanation:
We know that x is equal to 7. That means we can replace x with this value. This makes our new expression:
12 - 7
12-7 is equal to 5, so this expression will equal 5 when x = 7.
What's the answer? I need help asap
The two triangles are congruent through AA (angle-angle proportionality theorem) therefore all the sides are congruent to each other.
In this case:
2y = 5y - 7
2y - 5y = -7
-3y = -7
y = -7/-3
y = 7/3