Given:
The polynomial is:
[tex]p(x)=x^2-1[/tex]
To find:
Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.
Solution:
If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].
We have,
[tex]p(x)=x^2-1[/tex]
Putting [tex]x=-2[/tex] in the given polynomial.
[tex]p(-2)=(-2)^2-1[/tex]
[tex]p(-2)=4-1[/tex]
[tex]p(-2)=3[/tex]
Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.
W=VI. Make V the subject of formula
Answer:
hope that is helpful
Step-by-step explanation:
W= VI
W= VI
I. I
V= W
I
Answer:
V = [tex]\frac{W}{I}[/tex]
Step-by-step explanation:
Given
W = VI ( isolate V by dividing both sides by I )
[tex]\frac{W}{I}[/tex] = V
ТУ
5
Which equation represents the graphed function?
4
0.3)
fo
(3.2)
2.
O y=-3x + 3
o y = 3x - 3
O y= 3x - }
1 2 3
5
X
5 % -3 -2 -11
-2
-3
O y=x+3
15
Answer:
[tex]y = -\frac{1}{3}x + 3[/tex]
Step-by-step explanation:
Required
The graph equation
From the graph, we have:
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (3,2)[/tex]
First, calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{2-3}{3-0}[/tex]
[tex]m = \frac{-1}{3}[/tex]
[tex]m = -\frac{1}{3}[/tex]
The equation is calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -\frac{1}{3}(x - 0) + 3[/tex]
[tex]y = -\frac{1}{3}(x) + 3[/tex]
[tex]y = -\frac{1}{3}x + 3[/tex]
The equation which represents the graphed function is; y = (-1/3)x + 3
Equation of a lineBy observation, the graphed line crosses the y-axis at point; (0, 3). Hence, the y-intercept is at y= 3.
Additionally, the slope of the line can be evaluated by considering the two points given;
Slope, m = (2-3)/(3-0)
Slope, m = -1/3
Hence, the equation of the line is;
y = (-1/3)x + 3Read more on equation of a line;
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Describe fully the single transformation that maps triangle A onto triangle B
Answer:there’s needs to be an image
Step-by-step explanation:
Someone please help me ASAP please
Answer:
hey mate
plz mark it as brainliest
Completing the Square
Guided Practice
Solve the equation by completing the square. If necessary, round to the nearest hundredth.
2x2 - 10x - 20 = 8
A. 27 - 27
B. 7
C.7, -2
Answer:
C.7, -2
Step-by-step explanation:
A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:
ax² + bx + c = 0; where a, b, c are constants.
Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.
Solving the equation 2x² - 10x - 20 = 8 using completing the square:
2x² - 10x - 20 = 8
2x² - 10x = 28
Divide through by 2, to make the coefficient of x² to be 1:
x² - 5x = 14
Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]
x² - 5x + 6.25 = 14 + 6.25
(x - 2.5)² = 20.25
taking square root of both sides:
x - 2.5 = √20.25
x - 2.5 = ±4.5
x = 2.5 ± 4.5
x = 2.5 + 4.5; or x = 2.5 - 4.5
x = 7 or x = -2
Jordan bikes 4/3 miles in 1/10 hours. What is his Speed in miles per hour?
Answer:
speed=distance / time
speed=(4/3) / (1/10)
speed=13.33miles per hour
if A×B ={(-1,1),(-1,2),(2,1),(2,2),(3,1),(3,2)}. find A×A and B×B. i need for exam.
Answer:
hope this will help you more
Step-by-step explanation:
Explanation is in the attachmenthope it is helpful to you
stay safe healthy and happy
In general, what can you say about the difference when you subtract a larger integer from a smaller integer?
Answer:
To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative. If the signs are different subtract the smaller absolute value from the larger absolute value
a cone with base radius 7 cm and a volume of 308cm^3 find the vertical height of the cone
Answer: Using the formula
V=πr2h
3
Solving for h;
h=3V
πr2=3·308
π·72≈6.00241cm
Step-by-step explanation:
Can someone help me with this math homework please!
Step-by-step explanation:
The second equation
[tex]2.4x = 1.2x + 15[/tex]
is the answer for the 1st picture.
2nd, solve for x.
[tex]1.2x = 15[/tex]
[tex]x = 12.5[/tex]
You cant create half a page so let lower it down to 12.
12 is the answer for the second answer.
Find the area of the triangle
pplied for a job as a cashier at a hardware store. As part of her employment screening, she was asked to take an exam that had general mathematical aptitude questions in it. This type of selection test is referred to as a
Answer:
cognitive ability
Step-by-step explanation:
Help me solve this problem please
Answer:
A 2,3,6 :)
Step-by-step explanation:
thats answer corect me if im wrong hope it help
On Monday, ALL the Grade 7 students either bought their lunch at the canteen or brought their lunch from home. Given that 20% of the students bought their lunch at the canteen and 116 students brought lunch from home, how many students are in Grade 7?
Answer:
145
.8x = 116 (80% of class is 116)
x=145
Step-by-step explanation:
Find the sum of the series -11 - 3 + 5 + 13 + ... + 125 using the series formula.
Answer:
1026
Step-by-step explanation:
Common difference = d = 2nd term - first term
d = -3 - (-11) = -3 +11 = 8
First term = a = -11
First we need to find the number of terms in this series
[tex]a_{n} = 125\\\\a + (n- 1)d = a_{n}\\\\[/tex]
-11 + (n- 1) * 8 = 125
(n-1)*8 = 125 + 11
(n-1) * 8 = 136
n -1 = 136/8
n -1 = 17
n = 17+1
n = 18
[tex]S_{n} =\frac{n}{2}(a+a_{n})\\\\S_{18} =\frac{18}{2}(-11+125)\\\\[/tex]
= 9 * 114
= 1026
For the geometric series 2 + 6 + 18 + 54 + ... , find t n
Answer:
i believe its 162
Step-by-step explanation:
hope it helped :>
The two figures shown are congruent. Which statement is true?
A). One figure is a translation image of the other.
B). One figure is a rotation image of the other.
C). Neither figure is a translation or rotation image of the other
Answer:
C
Step-by-step explanation:
They are the same without rotation and translation
An angel is formed by A: Parallel lines B: any ray and any line C: Two rays that shares the same end point D: any two rays
plz help me
Answer:
c
Step-by-step explanation:
Helpppp and explain :))
Answer:
y = 2x - 7
Step-by-step explanation:
(1,-5) (2,-3)
y2 - y1 / x2 - x1 -3 - (-5) / 2 - 1 2/1 = 2
y = 2x + b
-3 = 2(2) + b
-3 = 4 + b
-7 = b
Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.
Answer:
B: Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
D: Jorge will not move any point that lies on the line of reflection.
E: Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Step-by
i just took the test lol
Answer:
BDE are the answeres
Step-by-step explanation:
took the quiz
translate the sentence into an equation
three more than the quotient of a number and 2 is 9
Answer:
Well the correct answer is 9=2+(x/3) or
(3/x)+2=9
plz help me find the answers
Answer:
Correct answer B 130
Step-by-step explanation:
<FAE=90
<AFE=40
We have a triangle, so <FEA= 180-90+40=50
<FEA+FEB= 18-, so 180-50=130
AB parralel to CD then <ECD=130
Find the area of a circle with radius, r = 5.72m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.
Answer:
A≈102.79
Step-by-step explanation:
The formula for area of a circle is πr² so we need to substitute the r by 5.72.
π×5.7² = 102.79 m²
Answer:
Approximately 102.79 meters squared
Step-by-step explanation:
pi times 5.72 meters squared
Hope this helps!
According to the general equation for conditional probability, if P(A n B) = 3/4 and P(B) = 4/5 what is P ( A|B)?
A. 35/36
B. 15/16
C. 8/9
D. 24/25
Given:
[tex]P(A\cap B)=\dfrac{3}{4}[/tex]
[tex]P(B)=\dfrac{4}{5}[/tex]
To find:
The [tex]P(A|B)[/tex].
Solution:
Conditional probability:
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Substituting the given values, we get
[tex]P(A|B)=\dfrac{\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]
[tex]P(A|B)=\dfrac{3}{4}\times \dfrac{5}{4}[/tex]
[tex]P(A|B)=\dfrac{16}{16}[/tex]
Therefore, the correct option is B.
Consider the following equations and name the property of equality used to solve for the variable.
A. x + 3.75 = 7
B. –3b = 18
C. StartFraction m Over 5 EndFraction = negative 25
D. m – 4 = 9
9514 1404 393
Answer:
A. subtraction
B. division
C. multiplication
D. addition
Step-by-step explanation:
Observe what is done to the variable. Choose the operation that turns the unwanted value into the appropriate identity element.
A. 3.75 is added. To make that value be 0, we subtract 3.75.
B. -3 is multiplied. To make that value be 1, we divide by -3.
C. m is divided by 5. To make that 1/5 multiplier be 1, we multiply by 5.
D. 4 is subtracted. To make that value be zero, we add 4.
_____
Additional comment
Since subtraction is the same as addition of the opposite, and division is the same as multiplication by the reciprocal, the only two properties we really need are the addition property and multiplication property. Your grader may disagree.
Answer:
Other dude is right.
Step-by-step explanation:
Be safe, have an amazing day. :)
❊ Simplify :
1. [tex] \large{ \tt{ \frac{a + 2}{ {a}^{2} + a - 2 } + \frac{3}{ {a}^{2} - 1 } \: \: \{ANS : \frac{a + 4}{ {a}^{2} - 1 } \}}}[/tex]
2. [tex] \large{ \tt{ \frac{1}{(a - b)(b - c)} + \frac{1}{(c - b)(a - c) } \: \: \{ANS : \frac{1}{(a - b)(a - c) } \}}}[/tex]
-Show your workings! *
- Random/ Irrelevant answers will be reported!
Answer:
See Below.
Step-by-step explanation:
Problem 1)
We want to simplify:
[tex]\displaystyle \frac{a+2}{a^2+a-2}+\frac{3}{a^2-1}[/tex]
First, let's factor the denominators of each term. For the second term, we can use the difference of two squares. Hence:
[tex]\displaystyle =\frac{a+2}{(a+2)(a-1)}+\frac{3}{(a+1)(a-1)}[/tex]
Now, create a common denominator. To do this, we can multiply the first term by (a + 1) and the second term by (a + 2). Hence:
[tex]\displaystyle =\frac{(a+2)(a+1)}{(a+2)(a-1)(a+1)}+\frac{3(a+2)}{(a+2)(a-1)(a+1)}[/tex]
Add the fractions:
[tex]\displaystyle =\frac{(a+2)(a+1)+3(a+2)}{(a+2)(a-1)(a+1)}[/tex]
Factor:
[tex]\displaystyle =\frac{(a+2)((a+1)+3)}{(a+2)(a-1)(a+1)}[/tex]
Simplify:
[tex]\displaystyle =\frac{a+4}{(a-1)(a+1)}[/tex]
We can expand. Therefore:
[tex]\displaystyle =\frac{a+4}{a^2-1}[/tex]
Problem 2)
We want to simplify:
[tex]\displaystyle \frac{1}{(a-b)(b-c)}+\frac{1}{(c-b)(a-c)}[/tex]
Again, let's create a common denominator. First, let's factor out a negative from the second term:
[tex]\displaystyle \begin{aligned} \displaystyle &= \frac{1}{(a-b)(b-c)}+\frac{1}{(-(b-c))(a-c)}\\\\&=\displaystyle \frac{1}{(a-b)(b-c)}-\frac{1}{(b-c)(a-c)}\\\end{aligned}[/tex]
Now to create a common denominator, we can multiply the first term by (a - c) and the second term by (a - b). Hence:
[tex]\displaystyle =\frac{(a-c)}{(a-b)(b-c)(a-c)}-\frac{(a-b)}{(a-b)(b-c)(a-c)}[/tex]
Subtract the fractions:
[tex]\displaystyle =\frac{(a-c)-(a-b)}{(a-b)(b-c)(a-c)}[/tex]
Distribute and simplify:
[tex]\displaystyle =\frac{a-c-a+b}{(a-b)(b-c)(a-c)}=\frac{b-c}{(a-b)(b-c)(a-c)}[/tex]
Cancel. Hence:
[tex]\displaystyle =\frac{1}{(a-b)(a-c)}[/tex]
Please find attached photograph for your answer.
Hope it helps
Do comment if you have any query
Which of the following are square root of the number below? Check all that apply.
81
Answer:
A, B, D, E
Step-by-step explanation:
[tex]\sqrt{81}[/tex] = ± 9 → D and E
Since 9 × 9 = 81 and - 9 × - 9 = 81
[tex]81^{\frac{1}{2} }[/tex] = [tex]\sqrt{81}[/tex] = 9 → B
- [tex]81^{\frac{1}{2} }[/tex] = - [tex]\sqrt{81}[/tex] = - 9 → A
A caterer is agrranging 72 ham sandwiche and 48 pimento cheese sandwiches on serving trays. He would like to arrange the sandwiches so tht each tray has the same number of each kind of sandwich. The number of ham sandwiches on a tray does not need to equal the number of pimento cheese sandwiches on the tray. What is the maximum number of traysthe caterer can use? .
Answer:
24
Step-by-step explanation:
The greatest number of trays the caterer can split the 72 ham sandwiches and 48 pimento cheese sandwiches into can be determined by calculating the highest common factor and 48 and 72
Factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Factors of 72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.
the highest common factor is 48 ad 72 is 24
Solve: 12 p/2
What is p?
Answer:
24
Step-by-step explanation:
p/2 = 12.
To leave the p alone, multiply 2 from both sides.
p = 24
number of ways you can wear 10 outfits to school each day in a 5 day week
Answer:
1 day=10outfits
5days=10outfits×5
=50outfits
Step-by-step explanation:
hope this is helpful
Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.
How to calculate the number of waysTo calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:
10 outfits/day × 5 days = 50 outfit combinations
Therefore, you can wear the 10 outfits in 50 different ways throughout the week.
Learn more about permutations
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