Step-by-step explanation:
did you leave something out ?
(5p + 3)(p + 1) = 5p×p + 5p×1 + 3×p + 3×1 =
= 5p² + 5p + 3p + 3 = 5p² + 8p + 3
at no point do we have 5 terms to sum up. but 4 and then finally 3, yes.
but we always have also additions, not only multiplications (products).
so, none of the 2 options is correct.
we could, of course. start with the initial expression, that shows the product of 2 factors and multiply by 1×1
(5p + 3)(p + 1)×1×1
then we have the expression as product of 4 factors.
in the same way we could bump up the sum scenario by adding one or 2 0s : tadah ! sum of 5 terms.
I strongly suspect there is something missing in the problem description.
Answer:
Neither is correct.
Step-by-step explanation:
Look at the diagram and evaluate. Which of the statements below is TRUE?
A). EH < EF
B). F is the midpoint of EG
C). GH< EF
D). FH> EG
The correct statement regarding the segments on the number line is:
C). GH< EF
Why the third statement is correct?For the first statement, the lengths are EH = 19 - 6 = 13 and EF = 11 - 6 = 5, hence EF < EH.For the second statement, we have that EF = 5 and EG = 9, since 5 is not the half of 9, it is not the midpoint.For the third statement, GH = 19 - 15 = 4 < EF = 5, hence it is the correct statement.For the fourth statement, EG = 9 > FH = 8, hence it is also not correct.More can be learned about segments at https://brainly.com/question/18315903
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(-2+1)exponent2+5(12/3)-9=
Question :
(-2+1)exponent2+5(12/3)-9=
Answer:
The answer is : 12 po
solve the similtaneous equations
y=9-x
y=2x^2+4x+6
The solution of the given equation are (1/2 , 17/2) and (-3 , 12)
The two equation that we have been given are :
y = 9 – x (1)
y = 2x² + 4x + 6 (2)
We will solve this simultaneously, from equation (1) we will equate the value of y in equation (2) we get
9 – x = 2x² + 4x + 6
3 = 2x² + 5x
2x² + 5x – 3 = 0
Now to find the factors of the value x we will use quadratic formula.
x = (-b±√b² – 4ac)/2a
x = [ -5 ± √25 + 24 ]/4
x = [ -5 ± 7 ]/4
x = (-5 + 7)/4 and x = (-5 – 7)/4
x = 1/2 and x= -3
putting the required value of x in equation (1) we get
y = 9 – 1/2 and y = 9 – (-3)
y = 17/2 and y = 12
Hence the solution of the equation is (1/2 , 17/2) and (-3 , 12)
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Write an absolute value inequality for the graph below.
Use x for your variable.
Answer:
The absolute value inequality will be |x| ≥ -2.
Step-by-step explanation:
Rewrite the polynomial in descending order. Identify the degree of the polynomial, the leading term, and the leading coefficient.
12 - 6b^6 + 4b - 3b^4
Answer:
Solution
12-6b6+4b-3b4, find Polynomial in descending order
Solution:
The Given Polynomial =12-6b6+4b-3b4
Descending order is basically when its terms are arranged in order from largest degree to smallest degree
Descending order of polynomial =-6x6-3x4+4x+12
Step-by-step explanation:
PLS HELP IM SO CONFUSED
The student says that the proof shows that AOM BOM because they are vertical angles.
Which statement best corrects the student's interpretation?
A. CON = BOM because they are vertical angles.
B. AOM = BOM because they are supplementary, not because they are vertical angles.
C. AOM = BOM because they are complementary, not because they are vertical angles.
D. AOM = BOM because they are both congruent to the same angle, not because they are vertical angles.
∠AOM ≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
How to Identify Congruent Angles?
From the image of the angles attached, we are given that;
∠AOM ≅ ∠DON
Now, from the vertical angle theorem, we can say that;
∠AOM ≅ ∠CON
Similarly, by vertical angles theorem, we can also say that;
∠BOM ≅ ∠DON
From transitive property of congruence, we can equally say that since ∠AOM and ∠BOM are equal to the same angle, then;
∠AOM ≅ ∠BOM
From transitive property of congruence, we can equally say that since ∠CON and ∠BOM are equal to the same angle, then;
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Answer: ∠AOM≅ ∠BOM because they are both congruent to the same angle, not because they are vertical angles.
Step-by-step explanation:
cause I did the mastery test
A recent report stated that less than 35 percent of adult residents in a certain city will be able to pass a physical fitness test. Consequently, the city's Recreation Department is trying to convince the City Council to fund more physical fitness programs. The council is facing budget constraints and is skeptical of the report. The council will fund more physical fitness programs only if the Recreation Department can provide convincing evidence that the report is true. The Recreation Department plans to collect data from a sample of 185 adult residents in the city. A test of significance will be conducted at a significance level of a= 0.05 for the following hypotheses.
H0:p=0.35
Ha:p<0.35
where p is the proportion of adult residents in the city who are able to pass the physical fitness test.
The Recreation Department recruits 185 residents who volunteer to take the physical fitness test. The test is passed by 77 of the 185 volunteers, indicating that more than 35 percent of the city is in shape. Describe the primary flaw in the study described in part and explain why it is a concern.
The primary flaw is that the sample will slightly overestimate the physical fitness of the people of the town.
The given hypothesis are,
[tex]H_0:p=0.35\\H_1:p < 0.35[/tex]
Type II error is accepted in null hypothesis when it is not actually true.
In the given question null hypothesis p= 0.35
The conclusion is that in the given sample proportion is not equal to 0.35, though we know that proportion is not equal to 0.35 we accept the null hypothesis, that is wrong.
Now given n=185,x=77 P=0.53 then Q=1-0.35=0.65
[tex]H_0:P=0.35\\H_1:P < 0.35[/tex]
Now test statistic [tex]Z=\frac{p-P}{\sqrt{\frac{PQ}{n}}}[/tex]
Solving for Z using the given values we get :
Z=1.99
Now 1.99>-1.65
So we accept [tex]H_0[/tex]
The primary flaw in the system is that the sample is not randomly selected rather they are volunteers. So it is reasonable to think that the physical fitness of the town will be slightly over estimated by the experiment.
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An urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
The probability of choosing a red marble is 1/6.
What is probability ?Probability is the chance of occurring a certain event out of total possible events that can order in a given situation.
According to the given question an urn contains 19 red marbles, 29 blue marbles, and 43 yellow marbles.
So there are total of ( 19 + 29 + 43 ) = 85 marbles.
∴ No. of sample space N(s) = 85.
No. of red marble N(red) = 19.
One marble is to be chosen from the urn without looking the probability of choosing a red marble P(red) is N(red)/N(s) which is
P(red) = 19/85
P(red) = 1/5.
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Givien h(x) = -x- 5, find h(-6)
Answer:
h(-6) = 1
Step-by-step explanation:
Hello!
Substitute -6 for x in the equation.
Evaluateh(x) = -x - 5h(-6) = -(-6) - 5h(-6) = 6 - 5h(-6) = 1h(-6) is 1.
a group of students is given a 10 by 10 grid to cut into individual unit squares. the challenge is to create two squares using all of the unit squares. their teacher states that after the two new squares are formed, one should have a side length two units greater than the other. which equation represents x, the side length of the greater square? x2 (x – 2)2
The correct option is C. x² + (x – 2)² = 100.
The equation which depicts x, the side length of the greater square is x² + (x – 2)² = 100.
What is square?In geometry, a square is a plane figure with 4 equal sides as well as 4 right (90°) angles. A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral & equiangular one).
Now, as per the question;
Let x be the larger square's side length. Because it is two units larger than the relatively small square, the smaller square's side length would be (x-2).The side length squared, or the quantity of unit squares contained in the larger square, would give the quantity of unit squares within the larger square or x².The side length squared, or the number of unit squares in the smaller square, would give the number of unit squares within the smaller square or (x-2)².These total the quantity of unit squares in a 10 by 10 square, or 10² = 100.This is given by relation shown by expression;
x² + (x-2)² = 100
Therefore, the equation which represents x, the side length of the greater square is x² + (x-2)² = 100.
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The complete question is-
A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.
Which equation represents x, the side length of the greater square?
A. x² + (x – 2)² = 10
B. x² + 2x² = 10
C. x² + (x – 2)² = 100
D. x² + 2x² = 100
Pls help me im stuck
a sum of scalar multiples of two vectors (such as ab, where a and b are scalars) is called a linear combination of the vectors. let u, and v,. express , as a linear combination of u and v
The linear combination of u and v = <3,-27>=5U+4V.
What does linear combination in vectors mean?A linear combination of two or more vectors is the vector formed by multiplying two or more vectors (with distinct directions) by scalar values. The above equation demonstrates that the vector is produced by adding two vectors to three vectors.
What is the term "linear combination"?The term "linear" has two independent meanings: geometric and algebraic. Because linear combinations essentially linear in the both senses, the expression is accurate.
According to the given information:Let u= <3,3> and v= <-3,3>
<3,-27> = x< 3,3> + y<-3,3> = <3x - 3y, 3x + 3y>
3x - 3y = 3 => x - y = 1
3x + 3y = -27 => x + y = -9
Adding both, we get
2x = -8 => x = -4
y = -5
So <3,-27> = -4< 3, 3 > + (-5) < -3 , 3 >
The linear combination of u and v = <3,-27>=5U+4V.
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I understand that the question you are looking for is:
A sum of scalar multiples of two vectors (such as au + bv, where a and b are scalars) is called a linear combination of the vectors.
Let u= <3,3> and v= <-3,3>. Express <3,-27> as a linear combination of u and v.
Find the output (y) of the function y
20x + 38 if the input (2) is -9.
A function assigns the values. The output(y) of the function y=20x + 38 if the input is -9 is -142.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function y=20x+38, therefore, if the input of the function is -9, then the output can be calculated by substituting the value of x as -9. Therefore, we can write the function as,
y = 20x + 38
y = 20(-9) + 38
y = -180 + 38
y = -142
Hence, the output(y) of the function y=20x + 38 if the input is -9 is -142.
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Find the average rate of change for the function f(x)=3^x+17
Using the intervals x=3 to x=6
Answer:
234
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [3, 6 ] , then
f(b) = f(6) = [tex]3^{6}[/tex] + 17 = 729 + 17 = 746
f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then
average rate of change = [tex]\frac{746-44}{6-3}[/tex] = [tex]\frac{702}{3}[/tex] = 234
If g(x) =4x²+2x-24,what is g(2)?
Answer:
-4
Step-by-step explanation:
x is a variable, so to do g(2) you have to write g(x), but substitute 2 in place of x:
g(2) = 4*2² + 2*2 - 24 = 16 + 4 - 24 = -4
What is the answer to 1/4 times 2/3 times 4/3 equal?
Answer:
2/9
Step-by-step explanation:
To multiply fractions you just multiply the numerators with the numerators and the denominators with the denominators
1/4 * 2/3 = 2/12 which simplifies to 1/6
1/6 * 4/3 = 4/18 which simplifies to 2/9
:D
What is the measure of the central angle that defines the shaded area below if the shaded area takes up 70% of the circle?
15x⁴-16x³+0x²+8x-17 ÷ (3x²+x+1)
After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
We are given an expression:
( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )
We need to perform division of the algebraic expression:
5 x² - 7 x + 4
3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17
15 x⁴ + 5 x³ + 5 x²
______________________
- 21 x³ + 5 x² + 8 x - 17
- 21 x³ - 7 x² - 7 x
______________________
12 x² + 15 x - 17
12 x² + 4 x + 4
______________________
11 x - 21
______________________
Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
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The length of a rectangle is four meters less than twice its width. If the perimeter of the rectangle is 88 meters, what is the width?
A. 24m
B. 16m
C. 32m
D. 8m
The width of the rectangle is determined as: B. 16 m.
How to Determine the Measurement of a Rectangle?The perimeter of a rectangle = 2(l + w)
l = length of the rectanglew = width of the rectangleGiven the parameters:
Perimeter of rectangle = 88 meters
Width of the rectangle = w meters
Length = 2w - 4 meters
Plug in the values into the perimeter formula of a rectangle
2(2w - 4 + w) = 88
2(3w - 4) = 88
6w - 8 = 88
6w = 88 + 8
6w = 96
6w/6 = 96/6
w = 16
Thus, the width of the rectangle is determined as: B. 16 m.
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Add. 5/7 + 1/2 + 3/4
please help
Answer: 1²⁷/₂₈
Step-by-step explanation:
[tex]\displaystyle\\\frac{5}{7}+\frac{1}{2}+\frac{3}{4} =\\\\\frac{5*4+1*14+3*7}{28} =\\\\\frac{20+14+21}{28} =\\\\\frac{55}{28} =\\\\1\frac{27}{28}[/tex]
find x: -3 = 4x - 12x^2 + 7x^3
Answer:
x = 0.3384663
Step-by-step explanation:
simplify fully
x^5-4x^3/ 3x-6
_____ is the process of drawing conclusions about unknown characteristics of a population from which data were taken.
Answer:
Statistical inference
Step-by-step explanation:
Evaluate the expression shown below and write your answer as a fraction in
simplest form.
17/23+3/23=
Answer:
17/23+3/23 = 10/23 =2.3
Step-by-step explanation:
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I have something on my page, please can you help me?
thankyou
5. Using the data from question 2, you can compute the mean food and lodging
cost of a 10-day vacation by multiplying the per-day mean by 10. The
standard deviation for the 10-day vacation can be found by multiplying by
10 also.
a. What is the mean for food and lodging for a 10-day vacation?
Multiplying the underlying mean of $247 for a single day by 10 to account for the 10 days, the mean for food and lodging for a 10-day vacation is of $2470.
What is the mean per day cost?This problem is incomplete, but researching it on a search engine, it is found that the mean for a single day was of $247.
What is the mean for the entire trip?The entire trip was of 10 days, hence the mean is given as follows, multiplying the mean by the constant:
247 x 10 = $2,470.
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A huge 52-foot subway sandwich is cut into 7 pieces. There are five pieces one length, and the other two pieces are five feet longer. What is the length of the larger pieces?
Based on the length of the subway sandwich, the length of the larger pieces is 11 feet.
How long are the larger pieces?Assume that the length of the shorter pieces is x.
The length of the larger pieces is therefore 5 + x.
The relevant equation to find the length is:
52 = x + x + x + x +x + 5 + x + 5 + x
52 = 7x + 10
x = (52 - 10) / 7
= 6 foot
The length of the larger pieces is:
= 5 + x
= 5 + 6
= 11 foot
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Question
Find the equation of the line with slope
1/4
and y-intercept (0, -2).
Answer:
y=1/4 -2
Step-by-step explanation:
y =mx + c
m= slope
c= y-intercept
putting the valves of x and y ( 0,-2)
-2 = 1/4(0) + c
solve for C
C = -2
substituting back to the general equation of
y= 1/4x + C
y = 1/4x - 2( ans).
What is the transformation in the function y=x^2+10?
A. up 10
B. down 10
C. right 10
D. Left 10
Answer: Left 10 Units
Step-by-step explanation: hope this helps
One more than the product of 14 and Mabel's age
Use the variable m to represent Mabel's age.
Answer: 14m + 1
Step-by-step explanation:
We will write an expression for this question.
One more➜ + 1
than the product of ➜ multiplication, *
Mabel's age ➜ m
One more than the product of 14 and Mabel's age
14 * m + 1, 14m + 1
Delila is multiplying three negative numbers and determines that the solution will be negative. is she correct or incorrect?
Delila is correct as she multiplying three negative numbers and determines that the solution will be negative.
As given in the question,
Let the three negative numbers be -x , -y , and -z.
Delia is multiplying three negative numbers
Multiply First two numbers
(-x) (-y) = + x y as (-)(-) = +
Multiply by third numbers
(+x y) (-z) = -x y z as ( +)(-) = -
Therefore, Delila is correct as she multiplies three negative numbers and determines that the solution will be negative.
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Answer:
Yes, she is correct.
