a³+ 1 + 2a² + 2a, a3 - 1 and a²+a2 +1
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help meeeeeeeeeeeeeeeeeeee pleaseee rnnnn rn!!!!
Answers
The length of short side x is 4.5 units, the length of short side x+5 is 9.5 units and the length of longest side is 10.5 units.
By Pythagorean theorem,
[tex]( Hypotenuse)^{2} = (Base)^{2}+ (Perpendicular)^{2}[/tex]
Let base = x+5
perpendicular = x
Hypotenuse = x+6
[tex](x+6)^{2} = x^{2} +(x+5)^{2}[/tex]
[tex]x^{2} +12x+36 = x^{2} +x^{2}+10x+25[/tex][tex]2x^{2} +10x+25-x^{2} -12x-36=0[/tex]
[tex]x^{2} -2x-11=0[/tex]
[tex]x = \frac{-(-2) + \sqrt{4 - 4(1)(-11)} }{2*1}[/tex] or [tex]\frac{-(-2) - \sqrt{4 - 4(1)(-11)} }{2*1}[/tex]
[tex]x=\frac{2 + \sqrt{4 +44} }{2}[/tex] or [tex]\frac{2 - \sqrt{4 +44} }{2}[/tex]
[tex]x = \frac{2 + \sqrt{48} }{2}[/tex] or [tex]\frac{2 - \sqrt{48} }{2}[/tex]
[tex]x = \frac{2+2\sqrt{12} }{2}[/tex] or [tex]\frac{2-2\sqrt{12} }{2}[/tex]
[tex]x = 1+\sqrt{12}[/tex] or [tex]1-\sqrt{12}[/tex]
[tex]x = 1+3.5[/tex] or [tex]1-3.5[/tex]
[tex]x = 4.5[/tex] or [tex]-2.5[/tex]
As, length can't be negative, we will take x = 4.5
Therefore, x = 4.5
x + 5 = 4.5 + 5
= 9.5
x + 6 = 4.5 + 6
= 10.5
Hence, the length of short side x is 4.5 units, the length of short side x+5 is 9.5 units and the length of longest side is 10.5 units.
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solveeeeeeeeeeeee for x
Answers
Answer:
7.5/3
Step-by-step explanation:
set AC and BD equal to eachother because they are equal and solve
For which inequality is x= 5 a solutionx < 2x > 9x < 18x > 42
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Let's check each inequality if the value x = 5 is part of the solution:
a. x < 2
5 is a value greater than 2, so it isn't part of the solution of this inequation.
b. x > 9
5 is lesser than 9, so it isn't part of the solution of this inequation.
c. x < 18
5 is lesser than
Can someone help me ill award 30 points
Answers
Answer:
The answer is Cai.
Step-by-step explanation:
2 1/4 is 9/4 as an improper fraction. 9/4 as a decimal is 2.25.
2/3 as a decimal is 0.666666666667.
2.25 is great than 0.666666666667, therefore Cai collected the most.
Can you just tell me if I did it right thank you.
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SOLUTION
Given the question in the image, the following are the solution steps to answer the question
STEP 1: Write the given equation
[tex]y=x^2[/tex]STEP 2: Complete the table
[tex]\begin{gathered} y=x^2 \\ \text{When x=x} \\ y=x^2 \\ \text{When x=}0 \\ y=0^2=0 \\ \text{When x=1} \\ y=1^2=1 \\ \text{When x=2} \\ y=2^2=4 \end{gathered}[/tex]Hence, the table for the equation will be:
if I had matrix [1 2 0 -1 -3 2 ; 0 0 1 3 -3 1; 0 0 0 1 -1/6 1/2; 0 0 0 0 1 3/11; 0 0 0 0 0 0]. i need to find the general solution of the systemI was given a system of linear equations and told to put it in reduced row echelon form and then find the general solution of the system. I'm not sure how to write each x1 = , x2=
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With the given matrix, the system of equations you have is:
[tex]\begin{gathered} x_1+2x_2-x_4-3x_5=2 \\ x_3+3x_4-3x_5=1 \\ x_4-\frac{1}{6}x_5=\frac{1}{2} \\ x_5=\frac{3}{11} \end{gathered}[/tex]Then, you already know x5=3/11.
Now replace these value in the equation above and solve for x4:
[tex]\begin{gathered} x_4-\frac{1}{6}\cdot\frac{3}{11}=\frac{1}{2}^{} \\ x_4-\frac{3}{66}=\frac{1}{2} \\ x_4-\frac{1}{22}=\frac{1}{2} \\ x_4=\frac{1}{2}+\frac{1}{22} \\ x_4=\frac{22+2}{44}=\frac{24}{44} \\ x_4=\frac{6}{11} \end{gathered}[/tex]Now, replace x4 and x5 into the next above equation:
[tex]\begin{gathered} x_3+3\cdot\frac{6}{11}-3\cdot\frac{3}{11}=1 \\ x_3+\frac{18}{11}-\frac{9}{11}=1 \\ x_3+\frac{9}{11}=1 \\ x_3=1-\frac{9}{11}=\frac{11-9}{11} \\ x_3=\frac{2}{11} \end{gathered}[/tex]A number n plus 4.1 is less than or equal to 7 . Write this word sentence as an inequality.
Answers
Answer:
The word sentence you are looking for is:
n + 4.1 ≤ 7
Step-by-step explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Question 15 only, I inserted a picture. Please show your work. graph the solution to the in equality
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You have the following inequality:
√x > 2
Consider that only positive values of x result in real solutions. Moreover, if you squared both sides of the inequality, you obtain:
x > 4
The graph of the inequality is shown below:
can yall help me with this
Answers
Answer:
C is correct.
Step-by-step explanation:
[tex] \sqrt[4]{ \frac{16}{81} } = \frac{ \sqrt[4]{16} }{ \sqrt[4]{81} } = \frac{2}{3} [/tex]
A line passes through the point (−8, – 7) and has a slope of
-5/4
Write an equation in point-slope form for this line.
Answers
The equation in the point-slope form of the line is -7 = -5/4x -8.
What do we mean by point-slope form?One of the three forms we can use to express a straight line is the point-slope form, also referred to as the point-gradient form.
This form is helpful since it allows us to find the equation of the line by only knowing the slope and one point along the line.
The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
So, the point-slope form is:
The equation of the point-slope form: y = MX + b
Where y is the y coordinate and b is the x coordinate and m is the slope.
Now, get the point-slope form as follows:
y = MX + b
-7 = -5/4x -8
Therefore, the equation in the point-slope form of the line is -7 = -5/4x -8.
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i need help on this answer
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The correlation coefficient "r" can take values from -1 to 1
If the correlation coefficient is less than zero, r < 0, the correlation will be considered negative.
If the correlation coefficient is greater than zero, r > 0. the correlation will be considered positive.
A correlation coefficient equal to zero, r = 0, then there is no correlation between both variables.
If the absolute value of the coefficient is less than 0.35: 0 < | r | < 0.35 → you can say that the correlation between the variables is weak or low.
If the absolute value of the coefficient is between 0.35 and 0.38: 0.35 < | r | 0.65 → you can say that the correlation between both variables is moderate.
If the absolute value of the coefficients is greater than 0.66: | r | > 0.66 → you can say that there is a strong/ high correlation between the variables.
If the absolute value of the coefficient is greater than 0.90: | r |>0.90 → You can conclude that the correlation between both variables is very high or marked.
To be able to classify the type of correlation, the first step is to calculate the correlation coefficient between both variables. You can do that manually using the formula:
[tex]r=\frac{\Sigma x_1x_2-\frac{(\Sigma x_1)(\Sigma x_2)}{n}}{\sqrt[]{\lbrack\Sigma x^2_1-\frac{(\Sigma x_1)^2}{n}\rbrack\lbrack\Sigma x^2_2-\frac{(\Sigma x_2)^2}{n}\rbrack}}[/tex]First, let's determine the sums
X₁: Height (in)
[tex]\begin{gathered} \Sigma x_1=20+30+40+40+70+90 \\ \Sigma x_1=290 \end{gathered}[/tex][tex]\begin{gathered} \Sigma x^2_1=20^2+30^2+40^2+40^2+70^2+90^2 \\ \Sigma x^2_1=17500 \end{gathered}[/tex]X₂: Length (in)
[tex]\begin{gathered} \Sigma x_2=18+16+15+16+9+4 \\ \Sigma x_2=78 \end{gathered}[/tex][tex]\begin{gathered} \Sigma x^2_2=18^2+16^2+15^2+16^2+9^2+4^2 \\ \Sigma x^2_2=1158 \end{gathered}[/tex][tex]\begin{gathered} \Sigma x_1x_2=(20\cdot18)+(30\cdot16)+(40\cdot15)+(40\cdot16)+(70\cdot9)+(90\cdot4) \\ \Sigma x_1x_2=3070 \end{gathered}[/tex]There are 5 ordered pairs, so the sample size is n=6
Replace every value on the formula:
[tex]\begin{gathered} r=\frac{3070-\frac{290\cdot78}{6}}{\sqrt[]{\lbrack17500-\frac{290^2}{6}\rbrack\lbrack1158-\frac{78^2}{6}\rbrack}} \\ r=\frac{3070-3861}{\sqrt[]{3483.33\cdot144}} \\ r=-0.99 \\ \end{gathered}[/tex]The correlation coefficient is r= -0.99
→ r is a negative value, which means that the correlation between the height and length of the rectangles is negative
→ the absolute value of the coefficient is greater than 0.90; | r | =0.99, so the correlation between both variables can be considered as a strong correlation
You can say the there is a strong negative correlation between both variables (option F)
A, B, and C are collinear, and point B lies in between point A and point C. Point D is a point not on the line. Given thatmZABD = (x - 2)° and mZCBD = (5x), find mZCBD.
Answers
Answer:
70degrees
Explanation:
The diagrammatical representation of the statement is as shown;
Since the sum of angles on a straight line is 180degrees, then;
m8x+2 + 5x = 180
13x + 2 = 180
13x = 180 + 2
13x = 182
x = 182/13
x = 14
Get mmmmHence the measure of m
please help me identify an alternate exterior, an alternate interior, a vertical, linear pair, consecutive interior, and corresponding angles that fit the given type m || n and a || b :)
Answers
We have that (Some) alternate exterior angles in this graph are:
1 & 7
2 & 8
9 & 15
10 & 16
(Some) Alternate interior angles are:
3 & 5
4 & 6
12 & 14
11 & 13
Some linear pairs are:
1 & 2
9 & 10
4 & 3
12 & 11
5 & 6
13 & 14
8 & 7
16 & 15
(Some) Consecutive interior angles are:
4 & 5
3 & 6
12 & 13
11 & 14
(Some) Corresponding angles are:
1 & 5
2 & 6
9 & 13
10 & 14
(Some) Vertical angles:
1 & 3
2 & 4
9 & 11
10 & 12
5 & 7
6 & 8
13 & 15
14 & 16
Which type of angles are described in the second question?
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In the first case:
The angle is an acute angle. It measures more than zero but less than 90 degrees.
Second case:
The angle is an obtuse angle. It measures more than 90 degrees but less than 180 degrees.
Third case:
The angle is a right angle. It measures exactly 90 degrees.
Fourth case:
The angle is a straight angle. It measures exactly 180 degrees.
Use the line of best fit to make a
conjecture about the value of
Heather's portfolio at the end of
year 8.
Answers
Answer: 25
Step-by-step explanation:
Select all the ratios equivalent to 8:6.A. 4:3B. 6:8C. 16:12D. 10:8E. 7:5
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Dividing the given ratio by 2, we get
8:6 = 8/2 : 6/2 = 4:3
Multiplying the given ratio by 2, we get
8:6 = 8*2 : 6*2 = 16:12
Then, the correct choices are A and C
A number time 5 less that number has a product of -4. What are the two numbers?
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Let the first number be x.
The second number is 5 times less than x => x - 5
Therefore, we can write the statement as
[tex]\begin{gathered} x\times(x-5)=-4 \\ x^2-5x=-4 \\ \therefore \\ x^2-5x+4=0 \end{gathered}[/tex]Solving the quadratic equation:
Let us replace -5x in the equation with -4x and -x to be able to factorize.
Hence,
[tex]\begin{gathered} x^2-4x-x+4=0 \\ x(x-4)-1(x-4)=0 \\ (x-4)(x-1)=0 \\ \text{Therefore} \\ x-4=0\text{ } \\ or \\ x-1=0 \end{gathered}[/tex]Hence,
[tex]\begin{gathered} x=1 \\ or \\ x=4 \end{gathered}[/tex]Therefore, the number can be 1 or 4.
The second number can be
[tex]\begin{gathered} 1-5=-4 \\ or \\ 4-5=-1 \end{gathered}[/tex]Therefore, the pair of numbers can be
[tex](1,-4)\text{ or (4, -1)}[/tex]The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of rectangle is 30 meters. What is the length of the rectangle?
Answers
The length of a rectangle of the rectangle is 11m.
What is a rectangle?A rectangle is a polygon with four sides and four angles. Each angle is 90° and it has two lines of symmetry.
let the length of the rectangle be L and the width be w, so that
L = 3 + 2w
Also perimeter = 2 ( L + w)
2( L + W) = 30
substitute L = 3 + 2W into the above equation
2( 3 + 2W + W) = 30
2(3 +3W) = 30
multiply the bracket by 2
6 + 6W = 30
6W = 24
W = 24/6
W = 4m
but L = 3 + 2W, when W = 4m
L = 3 + (2 x 4)
L = 3 + 8
L = 11m
In conclusion the length of the rectangle is 11m
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Which equations represent a linear function? Select two. a. y = x-1 b. y = – 4.5 C. 3x – 4y = 2 d. 5x2 = 10y e. y = 1/2x2 +6
Answers
Explanation
a linear function must have
dependent and independent variables, ( y and x in this case)and the exponent of the independent vairable must be 1, so
Step 1
Check
a)
[tex]a)\text{ y=x-1}[/tex]this is a linear function
b)
[tex]y=4.5[/tex]this is not a functin, this expression has not x
c)
[tex]3x-4y=2[/tex]this functin has x and y, and the exponent of x is 1, so, this is a linear function
d)
[tex]5x^2=10y[/tex]this function has x and y, but the exponent is 2, so this is not a linear function
e)
[tex]y=\frac{1}{2}x^2+6[/tex]this function has x and y, but the exponent is 2, so this is not a linear function
i hope this helps you
2. Evaluate:
Suppose you want to buy something for $60, and you have $15 saved up so far. Then your grandmother calls and says she will chip in for your purchase. She doesn’t tell you the amount of money she will give you yet, so you just consider it x dollars.
and need the answer to this
Answers
Answer:
price - savings
= $60 - $15
= $45
grandma's bonus =
hence, $45 + x = $60
Collect like terms
60 - 45 =
X = $15
Given the function f(x)= 7lx-4l, calculate the following values:F(0)=F(2)=F(-2)=F(x+1)=F(x^2+2)=
Answers
As given by the question
There is given that the function
[tex]f(x)=7\lvert x-4\rvert[/tex]Now,
First find the value of f(0):
Then, put the value of 0 for x into the given function.
Now,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(0)=7\lvert0-4\rvert \\ f(0)=7\lvert-4\rvert \\ f(0)=7\cdot4 \\ f(0)=28 \end{gathered}[/tex]Then,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(2)=7\lvert2-4\rvert \\ f(2)=7\lvert-2\rvert \\ f(2)=7\cdot2 \\ f(2)=14 \end{gathered}[/tex]Then,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(-2)=7\lvert-2-4\rvert \\ f(-2)=7\lvert-6\rvert \\ f(-2)=7\cdot6 \\ f(-2)=42 \end{gathered}[/tex]Then,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(x)=7\lvert x+1-4\rvert \\ f(x)=7\lvert x+1-4\rvert \\ f(x)=7\lvert x-3\rvert \end{gathered}[/tex]And,
[tex]\begin{gathered} f(x)=7\lvert x-4\rvert \\ f(x^2+2)=7\lvert x^2+2-4\rvert \\ f(x^2+2)=7\lvert x^2-2\rvert \end{gathered}[/tex]Determine the GCF of 6x²y - 12xy + 9x³y²
A
B 3x³y²
C
36x³y²
D
36xy
3ry
Answers
The greatest common factor(gcf) of the given expression is 3xy.
The expression is 6x²y - 12xy + 9x³y².
From all the terms we take the coefficients. 6 ,12 and 9
The GCF of these three numbers is 3 as it divides all the three numbers.
Now for the variable x. the lowest power will be the gcf. Hence the gcf will have x.
Now for the variable y. the lowest power will be the gcf. Hence the gcf will have y.
Therefore the gcf of the given expression will be 3xy .
6x²y - 12xy + 9x³y² = 3xy (2x - 4 + 3x²y)
The HCF, or highest common factor, is the largest number that divides each of the two or more numbers. HCF is also known by the titles The Greatest Common Measure (GCM) and The Greatest Common Divisor (GCD).
The smallest common multiple of any two or more numbers is found using the least common multiple, or LCM. There are two distinct methods: LCM and HCM. The HCF of two numbers is the highest factor that will exactly any divide two integers equally.
It is the most effective divisor for any pair of integers that may evenly or completely divide the inputted numbers.
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Please help me i need this answer in less than 15 minutes. What is -1 5/8 estimated?
Answers
Answer:
[tex] - 120[/tex]
that would be your answer thank you very much
Area of the base of a rectangular box is 205 cm² and its height is 3 cm. Find the volume of the box
Answers
Answer:
V= 615 cm³
Step-by-step explanation:
the volume (V) of a rectangular box is calculated as
V = Ah ( A is the area of the base and h the height ) , then
V = 205 × 3 = 615 cm³
Answer:
Step-by-step explanation: In order to find the volume of box, we need to know the formula
The formula is
volume= LxBxH where L=length, B= breadth and H= height
SO, area= L x B
we can say,
Volume= area x height= 205 x 3= 615 cm^3
Hence, the volume of the box= 615 cm^3
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evaluate the expression [tex]{ - 4}^{2} [/tex]
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Step 1: Let's evaluate the following expression
[tex](-4)^2[/tex]Step 2: Solve the exponent expression:
[tex](-4)^2\text{ = -4 }\ast\text{ - 4 = 16}[/tex]The correct answer is 16.
For the second case, we apply the same principle:
[tex]-5^2\ast4\text{ = -5}\ast\text{ -5 }\cdot\text{ 4 = 25 }\ast4\text{ = 100}[/tex]Write8600asaBabylonianNumeral.
Answers
First we need to divide 8600 by 3600 and the remainder divide it by 60, let's see how it goes:
This means that we can write 8600 like this:
[tex]8600=3600x2+60x23+20[/tex]With the quotients and the laste residue we can make the block of symbols:
Perform the following food service calculation.
Meat served: meat with little bone
Pounds of meat available: 27 lbs.
Number of guests that can be served:
Answers
The number of guests that can be served is 7
How to determine the number of guests?From the question, we have the following parameters that can be used in our computation:
Meat served: 3 lbs meat with little bone
Pounds of meat available: 27 lbs.
The number of guests needed is calculated using the following equation
Number of guests = Pounds of meat available/Meat served
Substitute the known values in the above equation, so, we have the following representation
Number of guests = 27/3
Evaluate the quotient
Number of guests = 9
Hence, 9 guests can be served with the available meat
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Possible question
Perform the following food service calculation.
Meat served: 3 lbs meat with little bone
Pounds of meat available: 27 lbs.
Number of guests that can be served:
Determine the value of altitude BD to the nearest tenth.
Answers
1) Given the altitude BD, let's find its measure using some trigonometric relations on the Right Triangle:
1.2) Pythagorean Theorem to find the other leg
b²=a²+c² The hypotenuse, in this case, is labeled as "b"
32²=16²+a²
1024=256+a²
1024-256=a²
768=a²
√768=√c²
a=16√3
2) Now, let's use one trigonometric relation on the Right Triangle, based on the similarity of the triangles:
ah=bc Adjusting it:
bh=ac
32h=16√3*16
32h=256√3
h=256√3/32
h=8√3 ≈ 13.85 ≈13.9
3) So the altitude BC of that triangle is approximately 13.9
Umbrellas inLost and FoundNumber of sunny daysWhat conclusion can you make about the relationship between the variables?O A. As the number of sunny days increases, the number of lostumbrellas tends to increase.B. An increase in lost umbrellas causes a decrease in the number ofsunny days.C. As the number of sunny days increases, the number of lostumbrellas tends to decrease.D. An increase in the number of sunny days causes a decrease inlost umbrellas
Answers
From the given figure, we observe that,
The relationship between the variables is,
As the number of sunny days increases, the number of lost umbrellas tends to decrease.
Hence, the correct option is C.
If the following fractions were converted to decimals, which one would result in a repeating decimal?
A. 3⁄7
B. 1⁄9
C. 3⁄4
D. 5⁄11
Answers
3/7 and 5/11 are fraction when converted in decimals resulted in repeating decimals.
Repeating decimals also known as recurring decimals means after decimals , a particular digit or sequence of digits keep repeating itself indefinitely . They are non terminating numbers means which don't have a end. Bars are used over that repeating digits .
Dividing the fractions :
A . 3/7 = 0.42857
It has different values after decimals
B. 1/9 = 0.111111
it has single value 1 which is repeating itself
C . 3/4 = 0.75
two different values after decimals
D. 5/11 = 0.4545454
after decimals 45 a sequence of number is repeating itself
3/7 and 5/11 are fraction which resulted into repeating decimals.
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