Answer:
(x + 3)(x - 1)
Step-by-step explanation:
Given
x² + 2x - 3
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) ← in factored form
What is the factor of x² + 2x - 3
Solution:-x² + 2x - 3[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0
[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0
[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0
[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1
So, x = -3 and 1
The factor of x² + 2x - 3 is -3 and 1. [Answer]PLEASE I NEED HELP!! NO LINKS!!
Answer:
m<N = 32°
m(NQ) = 106°
Step-by-step explanation:
Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)
<N is an inscribed angle
It's intercepted arc = arc MP = 64°
Therefore,
m<N = ½(64°)
m<N = 32°
m<P = ½(m(NQ)) (inscribed angle theorem)
53° = ½(m(NQ))
Multiply both sides by 2
2*53° = m(NQ)
106° = m(NQ)
m(NQ) = 106°
A cuboid has 4 rectangular faces and 2 square faces. Each rectangular face measures 8 cm by 6 cm. Find the two possible values for the surface area of the cuboid.
pls give me answer with steps
Answer:
320 cm² or 264 cm²
Step-by-step explanation:
first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²
the 2 square faces will be either 8 x 8 or 6 x 6.
If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²
If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²
Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?
Answer:
1750
Step-by-step explanation:
divide 7500 by 2 and you get 3750
3750-2000=answer
Answer:
1750
Step-by-step explanation:
7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.
3750-2000=1750 needed to save.
Please help me with this question
Answer:
I think B .......................................
8 (x + 4) = 62.4 what does x represent
Answer:
8 (3.8 + 4)
Step-by-step explanation:
x=3.8
The points plotted below are on the graph of a polynomial. How many roots
of the polynomial lie between x = -4 and x = 3?
URGENT
Given:
The graph of a polynomial.
To find:
The number of roots of the polynomial lie between x = -4 and x = 3.
Solution:
From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.
The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.
The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.
Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.
PLEASE HELP WITH ALL QUESTIONS WORTH ALOT OF POINTS
Answer:
1) -311
2) 26 p^6 h^4
3) 18 x^2 y^5 z^7
4) -20 c^4
is correct answer.
i guess you dont know this '' ^ '' . this mean take that number in power,
All the best
Step-by-step explanation:
5. Twenty volunteers with high cholesterol were selected for a trial to determine
whether a new diet reduces cholesterol. The volunteers were given a low-carb,
low-calorie diet. After 8 weeks of the diet, the average cholesterol of the
volunteers dropped a significant amount. This study is an example of
(A) A controlled experiment.
(B) An uncontrolled experiment.
(C) A double blind experiment.
Ablocked design experiment.
Answer:
(B) An uncontrolled experiment.
Step-by-step explanation:
In the case of an uncontrolled experiment here all participants are provided the similar treatment and there should be no comparison oppose to any group i.e. controlled
Since in the given situation, there are similar diets are provided to 20 volunteers and it can be that the cholesterol level is decreased after particular time period,
Hence, it is an uncontrolled experiment.
Thus, option B is correct.
Construct a circle and divide it into six congruent arcs. Inscribe an equilateral triangle. Draw diameters from each vertex of the triangle > Inscribe a circle in the triangle. (Hint: the inscribed circle will have the same center as the original circle.) ► Inscribe an equilateral triangle in the second (smaller) circle, with endpoints on the diameters previously drawn. Shade to highlight the pattern.
A recipe calls for 2 cups of milk for 8 pancakes. To use this recipe to make 16 pancakes, how many cups of mik are needed?
Answer:
4 CUPS OF MILK
Step-by-step explanation:
2 cups of milk=8 PANCAKES
2 X
8 16
16X2=32
32/8= 4
answer please thanks
Answer:
-37/6
Step-by-step explanation:
Perpendicular to x+y=6 and passing through (0,1)
Answer:
y = x + 1
Step-by-step explanation:
x + y = 6
y = -x + 6
Perpendicular slope to -1 is 1
(0,1)
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = x
y = x + 1
Standard form:
y = x + 1
-x + y = 1
Helpp!!
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotient.
Answer:
6
Step-by-step explanation:
ace or expert pls help is this right
In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?
____________________Solution :-Given Information :-Individuals who rode both roller coaster and Ferris Wheel ➢ 46Individuals who rode Ferris wheel but not the roller coaster ➢28Individuals who rode roller coaster but not the Ferris wheel ➢24 Individuals who neither rode roller coaster nor the Ferris wheel ➢ 14Total Number of Individuals who rode roller coaster ➢ 70Total Number of Individuals who rode the Ferris Wheel ➢74Total Number of Individuals who did not ride roller coaster ➢ 42Total Number of Individuals who did not ride the Ferris wheel ➢38Total Number of Individuals who went to amusement park ➢ 112To Find :-Percentage of Individuals who rode Ferris wheel but not the roller coaster. Formula Used :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
Calculation :-Substituting the values given in the formula, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]
Now, to convert any fraction into percentage, We multiply it by 100, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]
____________________Final Answer :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = 25%Therefore, option A. 25% is the correct answer.____________________Note :-Please scroll from right to left to see the whole solution.Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
9^2 + 15^2 = x^2
81 + 225 = x
17.49 = x
Rounded to the nearest tenth:
x = 17.5
factorise
3(m-4)+b(4-m)
Answer:
-(m-4)(b-3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping
Answer:
(m-4) (3-b)
Step-by-step explanation:
See the steps below:)
solve each equation using the substitution method.
42=3p
Answer:
14
Step-by-step explanation:
42=3p
42/3=3p/3
14=p
perpendicular sides mean plz
Answer:
lines that will never touch
Step-by-step explanation:
these are lines that you could keep drawing and they will never cross or touch
what is the mean,median,mode ,and range of 24,12,10,15,10,22,12
Answer:
24, 12, 10, 15, 10, 22, 12
mean: 7
median: 12
mode: 12
Range: 14
Step-by-step explanation:
Answer: Mean=15, Median=12, Mode=10 and 12, Range=14
Step-by-step explanation:
Data:
Numbers: 10, 10, 12, 12, 15, 22, 24
Mean: x, Median: x, Mode: x, Range: x
Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers
10+10+12+12+15+22+24=105/7=15
Mean=15
Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.
Step Two, Find the Median(middle) by finding the number in the middle
10, 10, 12, 12, 15, 22, 24
Median=12
Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.
Step Three, Find the mode by finding the number that show up the most
10, 10, 12, 12, 15, 22, 24
Mode=10 and 12
Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.
Step Four, Find the range by subtracting the biggest number by the smallest
24-10=14
Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.
I hope this helps!
The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. Find the numbers.
Answer:
1 and 0
Step-by-step explanation:
Let's call the smaller number x and the larger number y.
This means 5y+2x=5.
Also, 4y-x=4.
This is a system of equations. There are two main ways two solve this.
Method 1: Substitution
5y+2x=5
4y-x=4
Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.
I will take 4y-x=4 and solve for x.
4y=4+x
x=4y-4
Then substitute for x in the other equation and solve for y.
5y+2x=5
5y+2(4y-4)=5
5y+8y-8=5
13y=13
y=1
Now we can go back to our equation for x and substitute for y.
x=4y-4
x=4(1)-4=0
y, the larger number, is 1 and
x, the smaller number, is 0
Method 2: Elimination
5y+2x=5
4y-x=4
Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.
If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.
4y-x=4
becomes
8y-2x=8
Now we have 5y+2x=5 and 8y-2x=8.
Add the sides of both equations to cancel the x values.
5y+2x+8y-2x=5+8
13y=13
y=1
like last time, we can substitute for y in any of the original equations to get x.
5y+2x=5
5(1)+2x=5
5+2x=5
2x=0
x=0
y, the larger number, is 1 and
x, the smaller number, is 0
Hannah selects a marble randomly from a jar containing 11 green, 5 yellow, and 4 red marbles. Develop a probability model based on theoretical probability
55%green25%yellow20%red
(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
208
104
Answer:
480
please mark brainliest
Please hurry, this is past due!
A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.
A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices
help pls i have 5 minss, no links
Answer:
3/25
Step-by-step explanation:
Use the function below to find F(2)
F(x)=1/3•4^x
Answer
The answer is 16/3
Step-by-step-explain
F(x) = ⅓ • 4ˣ, F(2)
F(2) = ⅓ • 4²
F(2) = ⅓ • 16
F(2) = 16/3
Thus, The answer is 16/3
-TheUnknownScientist
Answer:
Step-by-step explanation:
16/3
I hope it's helpful
Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.
Answer:
B
Step-by-step explanation:
We can determine the total miles run by the 10 students by adding all the miles run by each individual student:
A
1 student * 1/12 miles = 1/12 miles
2 students * 1/8 miles = 2/8 miles = 1/4 miles
1 student * 1/6 miles = 1/6 miles
2 students * 1/4 miles = 2/4 miles = 1/2 miles
1 student * 1/3 miles = 1/3 miles
3 students * 1/2 miles = 3/2 miles
We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.
B
2 students * 1/6 miles = 1/3 miles
2 students * 1/4 miles = 1/2 miles
2 students * 1/3 miles = 2/3 miles
3 students * 1/2 miles = 3/2 miles
1 student * 1 mile = 1 mile
We add all these fractions to obtain 4 miles, which is as the question describes.
If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°
Answer:
124°
Step-by-step explanation:
measure of arc DC = 44 because the measure of central angle equals the measure of its arc.
measure of arc CB = 80 because the measure of central angle equals the measure of its arc.
measure of arc DC = measure of arc DC + measure of arc CB
= 44 + 80 = 124°
Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?
Answer: 72$
Step-by-step explanation:
because
What does the a equal in this problem: 27 = 3°?
Answer:
a= 3
Step-by-step explanation:
the mean of "n" numbers is "x" . if one more is added the mean is "y" . write an algebraic expression for the value of the number added?
Answer:
yn +y -xn
Step-by-step explanation:
Mean= sum of numbers ÷number of numbers
x= sum of n numbers ÷n
Multiply both sides by n:
xn= sum of n numbers
sum of n numbers= xn -----(1)
Let the number added be a.
After a has been added,
y= (sum of n numbers +a) ÷(n+1)
Multiply both sides by (n +1):
y(n +1)= sum of n numbers +a
sum of n numbers= y(n +1) -a -----(2)
Substitute (1) into (2):
xn= y(n +1) -a
Expand:
xn= yn +y -a
a= yn +y -xn
Let's check!
Let the numbers be 1, 2, 3 and 4.
mean, x= 10 ÷4= 2.5
n= 4
Let the new number added, a, be 7.
a= 7
mean, y= 17 ÷5= 3.4
a= yn +y -xn
a= 3.4(4) +3.4 -2.5(4)
a= 7
Thus, the expression is true.