Answer:
-9≤y≤5
Step-by-step explanation:
The range is the values that the output can take
The smallest value that the output takes is -9 and the largest value is 5
-9≤y≤5
what solutions to the following quadratic
3x^2 +15x-18=0
Answer:
x=-6 and x=1
Step-by-step explanation:
Given that:
[tex]3x^2+15x-18[/tex]
Now,
[tex]3x^2+15x-18=0\\[/tex]
Using the quadratic formula where a=3, b=15, and C=-18
x=-b±[tex]\sqrt{b^2-4ac} /2a[/tex]
x=-15±[tex]{\sqrt{15^2-4(3)(-18} } /2(3)[/tex]
x=-15±[tex]\sqrt{441} /6[/tex]
the discriminant [tex]b^2-4ac>0[/tex]
So, there are two real roots
x=-15±21/6
[tex]x=\frac{6}{6} \\x=1\\x=\frac{-36}{6} \\x=-6[/tex]
Therefore, x=-6 and x=1
A rectangular prism has a length of 10m, a height of 2m, and a width of 5m. What is its volume, in cubic m?
The volume of a given rectangular prism is 100 cubic meter.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
We know that, a rectangular prism has a length of 10 m, a height of 2 m, and a width of 5 m.
Here, volume = 10×5×2
= 100 cubic meter
Therefore, the volume of a given rectangular prism is 100 cubic meter.
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the slope of the line
Answer: -2
Explanation: On the image we can see it goes down 4 units and right 2. Giving us the slope [tex]\frac{-4}{2}[/tex]
Simplified that is -2 which is the slope of the line
what is 0.00051 convert in standard form
The answer is:
5.1 x [tex]10^-4[/tex]
100 points
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set.
Answer:
Solution set include (1,5), (1,4)
Step-by-step explanation:
To solve, you would have to graph both lines, and shade, the sections that are applicable. For Example is if it tells you the 2x+y is less than or equal to 8, you would shade it.
The Solution set would be anything in the overlapping area between both line's shades.
Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam
Answer:
1/12
Step-by-step explanation:
i belive this is the answer
The picture is above I’ll mark as brainliest.
Answer:
?=5
Step-by-step explanation:
So let's do 16-6 (3*2)
10/2=5
Answer: ?=5
Step-by-step explanation:
In a rectangle the opposite sides are congruent (same length).
So we have ?+?+3+3=16
Let's use a variable for ?
x+x+3+3=16
Since there are 2 of the variable x we can write it as 2x since 2 of something means it's doubled. We can also combine 3 and 3.
2x+6=16
Let's subtract 6 from both sides.
[tex]2x+6-6=16-6\\2x=10[/tex]
Now let's divide both sides by 2 to find the value of x (which is ?)
[tex]\frac{2x}{2} =\frac{10}{2} \\x=5[/tex]
The value of x/? is 5.
Draw a segment perpendicular to each given segment. Show your thinking by sketching triangles as needed.
Answer:
pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle
What property was used in step 1 to arrive at step 2?
Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
distributive property
addition property of equality
subtraction property of equality
division property of equality
Answer:
distribute property
Step-by-step explanation:
5 is distributed into the parentheses.
5 × x = 5x
5 × (-7) = -35
5x - 35 = 55
Hope that helps.
The property used in step 1 to arrive at step 2 is the Distributive property, the correct option is A.
What is a Product?Product is the output of the mathematical operation Multiplication.
The Step 1: 5 (x minus 7) = 55.
Step 2: 5 x minus 35 = 55
In step 2 Distributive property is used to solve the expression.
According to Distributive property
The sum of multiplying a number by the addend of two numbers will the same result when each number which is being added is multiplied individually and then added.
a ( b+c) = a*b + a*c
5 (x -7) = 55.
5x - 35 = 55
Therefore, the distributive property is used.
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The shortest side of an isosceles triangle is labeled, in inches, in the triangle below. The two longer sides are 6 inches longer than the shortest side. The perimeter of the triangle is 33 inches.
Complete question is;
The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. the perimeter of the triangle is 33 inches. what is the length of each side of the longer sides of the triangle.
Answer:
Shortest side = 7 inches
Side 2 = 13 inches
Side 3 = 13 inches
Step-by-step explanation:
We are told that;
Triangle is isosceles
The shortest side is 2x - 3 inches
The other 2 sides which are equal because it's an isosceles triangle are both 6 inches longer than the shortest side. Thus;
Side 2 = side 3 = 2x - 3 + 6 = 2x + 3
Since perimeter = 33 and sum of all 3 sides is the perimeter. Thus;
(2x - 3) + 2x + 3 + 2x + 3 = 33
6x + 3 = 33
6x = 33 - 3
6x = 30
x = 30/6
x = 5
Thus;
Shortest side = 2(5) - 3 = 7
Other 2 sides are each; 2(5) + 3 = 13
Express 1800 ml as percentage of 2.1 L
Answer:
1400 ml is 66.67% of 2.1 L
To express one number as a percentage of another, form a fraction using these two numbers and multiply it by 100. Note that the number that is being expressed as a percentage is placed in the numerator of the fraction.
help
dhgdfdfyfyfgfgfjfgfghfhgfdhgdfh
Answer:
5=26
14=17
n=1
31n=31*1=31
para realizar una minga en una escuela sehan reunido 750 personas .en la organizacion de las actividades se solicito a 1/15 de total para limpiar los patios y jardines a 2/25 del total arreglar bancas y al rwsto de las peronas se les pidio limpiar las pertas y ventanas de toda la institucion
¿cuantas personas limpiam los patios y jardines ?
¿cuantas personas pintan las paredes ?
¿cuantas personas arreglan las bancas ?
¿cuantas personas limpiam las puertas y ventanas ?
pliss ayuda espara manaña hasta las 5 am :")
What number is equal to 58 × 5-6? 5 -2 5 2 5 48 5 -14
Step-by-step explanation:
please, write the problem statement properly. it is not clear what you are asking for.
for example, the way how you wrote it, the first expression would be
58 × 5 - 6
and that would be (remember, multiplication and division happen before any additions or subtractions)
58 × 5 - 6 = 290 - 6 = 284
nothing on the right side of numbers fits to that.
so, I am speculating. did you mean
58 × (5-6) ?
in that case we get
58 × (5-6) = 58 × (-1) = -58
and then I assume that the right side of all the numbers includes also operations (like +, -, ...), as I see no -58 in the list of numbers.
and then I just propose that the right side could look like
-2×5 - 48 (which would also be -58).
but again, this could be something completely different.
so, please, write your problem statement again. and carefully.
m
Give one reason why banks charge people banking fees.
Answer:
banks change people fees to make a profit off of them other wise they would be giving away free money.
Step-by-step explanation:
hope this helps and what you were asking for.
If f(x) = 5x² – 2x + 7 and g(x) = -2x2 +6x + 3
then f (x)-g(x) =
Answer:
7x² - 8x + 4
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis by - 1
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
Find the roots of the quadratic equation (4p-1)² = 4p²
( Please show me how it works , Thankiuuu ༎ຶ‿༎ຶ )
Answer:
p = 1/2
Step-by-step explanation:
(4p - 1)^2 = 4p^2
(4p - 1)^2 =(2p)^2
4p - 1 =[tex]\sqrt{(2p)^2}[/tex]
4p - 1 =2p
4p - 2p =1
2p = 1
p =1/2
Mrs. Law’s seventh grade class volunteers for two days at an animal shelter. Each day, 30% of students will be assigned to help groom animals, 50% will be assigned to walk animals, and 20% will be assigned to clean the kennels. Michaela designs a simulation to determine how likely it is that she will be assigned to walk animals both days. She assigns digits as follows:• 0, 1, 2 5 Grooming• 3, 4, 5, 6, 7 5 Walking• 8, 9 5 Cleaning Then she generates the following sets of random numbers for her simulation. 2, 9 5, 2 3, 9 0, 1 8, 3 0, 5 0, 5 8, 3 6, 8 4, 7 7, 4 1, 5 Based on the results of the simulation, what is the probability that Michaela will walk animals on: a. both days? b. one day only? c. at least one day?
Based on the results of the simulation, the probability that Michaela will walk animals on:
a. both days = 1/6
b. one day only = 2/3
c. at least one day = 5/6
What is probability?Probability is simply how likely something is to happen.
Grooming = 0, 1, 2
Walking = 3, 4, 5, 6, 7
Cleaning = 8, 9
Based on the data generated in simulation, categorizing it into "Michael will walk animals zero days/ one day only/ both days based on the digit categorization given above.
(2,9) - zero days
(5,2) - one day
(3,9) - one day
(0,1) - zero days
(8,3) -one day
(0,5) - one day
(8,3) - one day
(6,8) - one day
(4,7) - two days
(7,4) - two days
(1,5) - one day
Probability that Michaela will walk animals both days = [tex]\frac{2}{12} = \frac{1}{6}[/tex]
Probability that Michaela will walk animals one day only = [tex]\frac{8}{12} = \frac{2}{3}[/tex]
Probability that Michaela will walk animals at least one day = Probability that Michaela will walk animals one day only + Probability that Michaela will walk animals two days only = [tex]\frac{8}{12}+ \frac{2}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
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Which measure of center best represents the data?
8,8,7,8,8,8,1,8,8
Answer:
8
Step-by-step explanation:
The median is 8 since 8 is the most common number
At what rate, in minutes per lap, does this swimmer swim?
Answer:
1.6
Step-by-step explanation:
all u gotta do is divide 6.4 by 4:)
hope that helps!<3
wats the answer of 3/4 of 7/15
Answer:
3/4 × 7/15 =7/20
just multiplication
The graphs of four quadratic equations are shown. Identify the number of real solutions of each equation by
dragging descriptions to each graph.
Answer:
1. 2 real solutions
2. no real solutions
3. 2 real solutions
4. 1 real solution
Step-by-step explanation:
The 'solution' to a quadratic equation means the x - intercepts of a graph, so how many times the parabola crosses the x-axis.
There is a spinner with 12 equal areas, numbered 1 through 12. If the spinner is spun one time, what is the probability that the result is a multiple of 3 and a multiple of 4?
Answer:
1/12
Step-by-step explanation:
multiple of 3 and a multiple of 4 implies it can only be 12.
Since you only have the numbers from 1 to 12,
the prob(the 12) = 1/12
pleaseeeee helppp meee!!!
Answer: 32x-48 should be your answer
Step-by-step explanation:
Answer:
32x - 48Step-by-step explanation:
-4(-8x + 12)
= -4 × (-8x) + (-4) × 12
= 32x + (-48)
= 32x - 48 (Ans)
I just have a question, how did they get 36?.
Answer:
see below
Step-by-step explanation:
They are completing the square
x^2 +12x +29
Take the coefficient of the x term
12
Divide by 2
12/2 = 6
Square it
6^2 = 36
Add 36 and subtract 36
(x^2 +12x +36) -36 +29
Inside the parentheses becomes ( x+6)^2
help ASAP ! it’s due soon
option
(c) is correct
Step-by-step explanation:
jsjsjd
Help Please question in the picture
Answer:
Option (1)
Step-by-step explanation:
Given figure in the picture has two parallel sides and fulfilling the property of a trapezium.
Since, an isosceles trapezium contains two parallel sides and other pair of the sides are equal in length.
Therefore, the given trapezium can't be an isosceles trapezium.
Option (1) will be the correct option.
The temperature on a thermostat is set to 72∘F, but the actual temperature can vary by as much as 2∘F. Let x represent the actual temperature to create an absolute value inequality to determine the range of possible-actual temperatures.
Any help is much appreciated :)
Using an absolute value inequality, it is found that the range of temperatures is between 70ºF and 74ºF.
---------------
The absolute value function measures the distance of a point to the origin, and is defined by:[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
---------------
The actual temperature is x, on a thermostat set to 72ºF. It can vary by as much as 2ºF, which means that the absolute value of the difference between x and 72 is at most 2, that is:[tex]|x - 72| \leq 2[/tex]
Solving the inequality:
The term is both greater or equal to -2 and at most 2, thus:[tex]x - 72 \geq >= -2[/tex]
[tex]x \geq 70[/tex]
And
[tex]x - 72 \leq 2[/tex]
[tex]x \leq 74[/tex]
Thus, the range of temperatures is between 70ºF and 74ºF.
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5. Find m
(5x- 2)
(9x - 62)
Answer:
73
Step-by-step explanation:
(9x - 62)
(9(15) - 62) =
(135 - 62) =
(73)
m∠KJL = 73
Find the perimeter of the composite figure
Answer: 172.3ft
Step-by-step explanation: