>= means greater than or equal to
<= means less than or equal to
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Part A
The graph of y >= -3x+3 will have a solid boundary line and the shading will be above the boundary line.
The boundary line y = -3x+3 has a negative slope so it moves down as you read it from left to right. It goes through the points (0,3) and (1,0)
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The graph of y < (3/2)x - 6 will have a dashed or dotted boundary line. The shading is below the boundary.
The graph y = (3/2)x-6 goes through the two points (0,-6) and (2,-3)
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If you graph both y >= -3x+3 and y < (3/2)x - 6 together, you get what you see in the attached image. This solution shaded region is the result of the overlapping prior shaded regions.
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Part B
Plug (x,y) = (-6,3) into each inequality to see if we get a true inequality or not
For the first inequality we have
y >= -3x+3
3 >= -3*(-6)+3
3 >= 18+3
3 >= 21
which is false. The value 3 is not larger or equal to 21. So right off the bat we know that (-6,3) is NOT a solution. It is NOT in the solution region.
Let's check the other inequality just for the sake of completeness
y < (3/2)x - 6
3 < (3/2)*(-6) - 6
3 < -9 - 6
3 < -15
this is also false. The value -15 is smaller than 3, since it is to the left of 3
We're given more evidence that (-6,3) is NOT in the solution area. It is outside of both shaded areas.
Simplify (-2x^3y)^5 without the parentheses
(-2x^3y)^5 = (-2)^5 (x^3)^5 (y)^5
= -32 x^15 y^5
1. Apply the 5 to each factor.
2. Simplify each piece. On (x^3)^5, you multiply the 3 and 5.
What’s this?i don’t know please tell me?
Answer:
Fractions in roman numerals
Step-by-step explanation:
To work this out go to hogwards and ask Harry
Answer:
٠ You must know Arabic numerals to solve this:
• Follow this interpretation:
Arabic → English
١ → 1 ٢ → 2 ٣ → 3 ٤ → 4 ٥ → 5 ٦ → 6 ٧ → 7 ٨ → 8 ٩ → 9 ٠ → 0• So, let's first interprete, solve then we reverse :
[tex]{ \rm{ - 1 \frac{13}{15} + 2 \frac{1}{17} - 3 \frac{2}{19} }} \\ \\ = { \rm{ - \frac{28}{15} + \frac{35}{17} - \frac{59}{19} }} \\ \\ \approx { \rm{ - 3}}[/tex]
Answer: -٣
Is 4.5 equal to...
-nine-halves
-thirty-one eighths
-thirteen-fourths
Answer:
Step-by-step explanation:
4.5 is equal to nine halves because if you divide 9 you get 4.5
Answer:
it's equal to nine halves
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer: [tex]7\sqrt{2[/tex]
Step-by-step explanation:
a²+b²=c²
7²+7²=c²
49+49=c²
[tex]\sqrt{98}=\sqrt{c^2}\\\sqrt {49}\sqrt{2} =c\\ 7\sqrt{2} =c[/tex]
Answer:
7[tex]\sqrt{2}[/tex]
Step-by-step explanation:
To find the missing length of a right triangle use the Pythagorean theorem. This theorem is [tex]a^2+b^2=c^2[/tex]. The variables a and b are the legs (shorter sides) and c is the hypotenuse (longest side). In this case, the hypotenuse is the missing side. So, add and square 7. This looks like [tex]7^2+7^2=x^2[/tex]. So, [tex]98=x^2[/tex]. Finally, square root 98 to get the final answer, [tex]\sqrt{98}[/tex]. This can be simplified to [tex]7\sqrt{2}[/tex].
Additionally, this is a special right triangle because the legs are of equal length. If the legs are equal then the hypotenuse with be equal to x[tex]\sqrt{2}[/tex], where x is the length of the legs. So this problem can also be solved using this method.
Se puede construir un triángulo cualquiera con las siguientes medidas: 7, 9, 13?
-Verdadero
-Falso
Answer:
-Verdadero
Step-by-step explanation:
in the picture
enter the next 3 terms from the geometric sequence below -2,1,-1/2
Answer:
1/4, -1/8, 1/16
Step-by-step explanation:
Please help with this math problem ASAP! Will give brainliest!
Answer:
x=16
y=23°
z=16
Step-by-step explanation:
we assume it is a kite.
[tex]NM=\sqrt{NQ^2+MQ^2} \\z=\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10[/tex]
∠NQM=90°
4y-2=90
4y=90+2=92
y=92/4=23°·
NP=2Nq
x=2×8=16
Quis
bentuk dari
[tex]5 {}^{125} \div 5 {}^{124} = [/tex]
Answer:
[tex]5 {}^{125} \div 5 {}^{124} = \\ 5 {}^{125} - {}^{124} = \\ = 5 {}^{1} [/tex]
Answer:
5¹²⁵ ÷ 5¹²⁴
=5¹²⁵-¹²⁴
=5¹
5(13 - 8) - 3 × 7 + 3
Show work
(thank you :) )
Answer:
7
Step-by-step explanation:
5(5)-3x7+3 Due to parenthesis you need to multiply 5 to 13-8 (which is 5) first.
25-3x7+3 Now you need to multiply 3 and 7 before anything else
25-21+3 now since its just subtraction and addition you go from left to right
4+3
7
Answer:
7
Step-by-step explanation:
Using order of operations to solve the expression:
Step 1: any terms in parenthesis
(13-8)=5
The expression becomes 5(5)-3*7+3
Step 2: any exponents
There are no exponents so the expression doesn't change.
Step 3: multiplication or division
5(5)=25
3*7=21
The expression becomes 25-21+3
Step 4: addition or subtraction
25-21+3=7
Are the following triangles similar by the angle-angle similarity theorem?
A)No, AA can only be used if two pairs of angles are congruent
B) Yes, there are three angles in each triangle
C)Yes, at least two pairs of corresponding angles are congruent
D) No, none of these sides are marked congruent
What is the answer to N/3 + 7 = 16 ?
Answer: 27
this should help xd
Step-by-step explanation:
https://www.tiger-algebra.com/en/solution/linear-equation-one-unknown/n/3+7=16/
Please help me, I will be really thankful
Answer:
h(-4) = -1
h(-1) = -1
h(0) = 2
Step-by-step explanation:
h(-4) = -1 because -4<-1 and from the instructions if x < -1, it is -1
h(-1) = -1 because -1 = -1
h(0) = 2 because if 1<x<2 than we have to solute this -(x-1)^2 + 3
in this we have to replace x with 0
-(0-1)^2 + 3= -(-1)^2 + 3 = -1 +3 = 2
hope it will help you ;)
the ratio of men to women working for a company is 7 to 4. If there are 264 employees total, how many women work for the company?
[tex]7 ratio2 = \frac{7}{2} \div 264 \\ \\ \ \frac{2}{7} \times \frac{264}{x} \\ \\ cross \: multiply \\ 2 \times x = 264 \times 7 \\ \frac{2x}{2x } = \frac{1848}{2x} \\ x = 924[/tex]
Im GOING TO GIVE YOU BRAINLIEST PLZ HELP
Answer:
PEMDAS stands for the order to solve operations.
Step-by-step explanation:
Each costume needs 46 cm of yellow ribbon the blue ribbon is 3 times larger than the 46 cm there are 64 costumes what is the total length of all the ribbon? I NEED HELP!
Answer:
981.3
Step-by-step explanation:
Deandre$252 made for 18 hours of work.At the same rate, how many hours would he have to work to $168 make?
Answer:
14 hours he have to work to $168 make
57 plus what equals 86
Answer:
29
Step-by-step explanation:
57+x=86
x=86-57
x=29
86-57=29Answer:
Step-by-step explanation:
angles homework please help
Answer:
4 = 60 5 = 120 6 = 120 7 = 60
Step-by-step explanation:
This is the second time asking this question
Which symbol correctly compares these fractions?
−35□−23
>
<
=
Answer:
The answer is -2/3 < -3/5
Krishnan had $10.he bought box of crayons and a pen. A box of crayons cost twice as much as a pen. He received $4 change.how much did the pen cost?
The cost of the Crayons will be $4 and the cost of the Pen will be $2.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Krishnan had $10. He had to purchase a box of pastels and a pen. A case of pastels costs two times as much as a pen. He got a $4 change.
Let c be the cost of crayons and p be the cost of a pen. Then the equations are given as,
c = 2p ...1
c + p = 10 - 4 ...2
From equations 1 and 2, then we have
2p + p = 10 - 4
3p = 6
p = 2
Then the cost of the crayons will be given as,
c = 2 x 2
c = 4
The cost of the Crayons will be $4 and the cost of the Pen will be $2.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
Maia was baking cupcakes for a party. She mixed 4 drops of red food coloring for every 6 drops of yellow food coloring to dye her icing orange. Circle the ratios of food coloring drops that would create the same orange color and justify your choices
Choice 1: 2 red to 3 yellow
Choice 2: 24 red to 26 yellow
Choice 3: 40 yellow to 100 red
To make the same orange circle, you would need 2:3 drops of food coloring.
A ratio is defined as:A ratio is a mathematical statement that compares and equals two variables.
Fractions, percentages, and decimals are used to represent ratios.
According to this ratio (2:3), Maia uses 60% of yellow food coloring to create an orange circle for every 40% of red food coloring.
Information and calculations: 4 red food coloring drops
Yellow food coloring drops equal six.
Food coloring ratio = 4:6 or 2:3.
The ratios are as follows in percentages:
Red food coloring drops equal 40% (2/5 x 100)
60 (3/5 x 100) drops of yellow food coloring
As a result, the food coloring is divided into 40% red and 60% yellow.
Ratios are discussed in greater detail at
https://brainly.com/question/13419413
#SPJ1
PLEASE HELP ME WITH THIS!! THIS IXL IS DUE AT 10 AND IT 926!!
Answer:
The answer is 4/1 or simplified it would be 4.
Step-by-step explanation:
The rise is 4 and the run is 1. 4/1!
DB _____ RT Choose the relationship symbol to make a true statement.
>
=
Question
Write 5x−y=14 in slope-intercept form.
What's 1+1? I must have a detailed explanation on the answer.
Answer:
Sally has 1 muffin on the counter and she finds another muffin in the oven and she adds up how many muffins she has and she gets 2
Step-by-step explanation:
Hope this helped you if it did please mark brainliest
Answer:
1 + 1 = 2
Explanation:
Take a quick look at an addition chart, and you'll see that 1 + 1 = 2. Why is this? This is because when you add one and one you get two.
Find the length of the third side. If necessary, write in simplest radical form.
_________
[tex] \: [/tex]
b² = c² - a²
b² = 10² - (√19)²
b² = 100 - 19
b² = 81
b = √81
b = 9
Please solve this law of indices
4√36^-1 = 36^-1/4
36^3/4 • 36^-1/4
=36^2/4
or √36 = 6
[tex]\sf Formulas: \displaystyle \\\\\ 1) \ a^{n} \cdot a^{m}=a^{n+m} \\\\ 2) \sf \ \sqrt[n]{\sf a^{m}} = a^{\tfrac{m}{n} } \\\\\\ Solution : \\\\\\\sf \large \boldsymbol {} \displaystyle (36)^{\tfrac{3}{4} } \cdot \sqrt[\sf 4 ]{\sf 36^{-1}} }= 36^{\tfrac{3}{4} } \cdot 36^{\tfrac{-1}{4} } =36^{\tfrac{3}{4}+\big(-\tfrac{1}{4} \big ) }= \\\\\\\ 36^{\tfrac{3}{4} -\tfrac{1}{4} } =36^{\tfrac{2}{4} }=(6^ {\backslash \!\!\!2})^{\tfrac{1}{\backslash\!\!\!2} }= 6^1=\boxed{\sf 6}[/tex]
11. If 1 is subtracted from the numerator and from
the denominator of a fraction, the value obtained
1
is z. If 1 is added to its numerator and to its
denominator, the resulting value is Ž. Find the
fraction.
Answer:
3/5
Step-by-step explanation:
Let x be the numerator
Let y be the denominator
1st equation:
(x-1) / (y-1) = 1/2
By simplifying the equation, 2(x-1) = y-1
y = 2(x-1) + 1
2nd equation:
(x+1) / (y+1) = 2/3
By simplifying the equation, 3(x+1) = 2(y+1)
3x + 3 = 2y + 2
2y = 3x + 1
y = (3x + 1) / 2
Substituting the value of y from the 1st equation to the 2nd equation:
1st equation: y = 2(x-1) + 1
2nd equation: y = (3x + 1) / 2
2(x-1) + 1 = (3x+1) / 2
x = 3
After finding the value of x, let's find y using the 2nd equation:
y = (3x + 1) / 2
y = [(3)(3) + 1] / 2
y = 5
Alternatively, we may also find the value of x using the first equation, and the result is still the same:
y = 2(x-1) + 1
y = 2(3-1) + 1
y = 5
CHECKING TIME!!!
Substituting the values of x and y:
Let x be the numerator, x = 3
Let y be the denominator, y = 5
1st equation: (x-1) / (y-1) = 1/2
(3-1) / (5-1) = 1/2
2/4 = 1/2
By simplification, 1/2 = 1/2
2nd equation:
(x+1) / (y+1) = 2/3
(3+1) / (5+1) = 2/3
4/6 = 2/3
By simplification, 2/3 = 2/3
Toda potencia que posee base uno es igual a uno?
Answer:
verdad
Step-by-step explanation:
1^x = 1
x = todos los numeros
y is directly proportional to x. When y = 30, x = 6 a) Work out an equation connecting y and x. b) Work out the value of y when x = 12.