Answer:
see below
Step-by-step explanation:
a = -2 b = 4 c = -8
b^2 - 4ac
4^2 - 4( -2) (-8)
16 - (64) Three negatives multiplied together is negative
-48
Since this is negative there are no real solutions ( 2 complex solutions)
rewrite Y=4-3x+x squared
in standard form and correctly
Answer:
Step-by-step explanation:
y = 4 - 3x + x^2 is to be rewritten in standard form. To do this, rearrange the terms in order of powers of x, from highest to lowest.
y = 4 - 3x + x^2 becomes y = x^2 - 3x + 4
e) In a survey of a group of people, it was found that 80 people liked to drink tea, 55 liked coffee, 25 liked both and 30 people did not like both tea and coffee. (i) Illustrate the above information in a Venn-diagram (ii) How many people were surveyed? (iii) How many people liked tea only? (iv) How many people liked coffee only? with full process
Answer:
the answer is given on the picture
The number of people like only coffee is 30 and the number of people like only tea is 55.
What is the Venn diagram?A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
Let T=tea and C=coffee
n(T)=80
n(C)=55
n(T∩C)=25
People did not like both tea and coffee=30
ii) Number of people surveyed
n(T∪C)=n(T)+n(C)-n(T∩C)
= 80+55-25
= 110
Then,
n(∪)=n(TUC)+People did not like both tea and coffee
= 110+30
= 140
iii) Number of people like only Tea
=n(T)-n(T∩C)
=80-25
=55
iv) Number of people like only coffee
=n(C)-n(T∩C)
= 55-25
= 30
Therefore, the number of people like only coffee is 30 and the number of people like only tea is 55.
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What is the value of the expression 3^2 . (2^3 +4) _____________ 2^2
Answer:
The answer is [tex]3^3\times 2^2[/tex].
Step-by-step explanation:
According to the rules of exponents
a^n = a x a x a x .... n times
So,
[tex]3^{2}\times (2^{3}+4)\\\\=9\times (8 +4)\\\\=108\\\\=3^{3}\times 2^{2}[/tex]
Meagan bought 18 apples for $8.10. Whats the unit price?
Answer:
The unit price is .45
Step-by-step explanation:
You divide the price by the item
- 8.10÷18=.45
Who has the most blue sweets?
chris 1/2
sam 1/4
raj 3/4
jade 1/3
Answer:
raj
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Have a nice day
8. Which of the following statements
about the box plot is true?
HHH
0 2 4 6 8 10 12 14 16 18 20
♡ Minimum: 4
B Maximum: 16
© First quartile: 8
0 Third quartile: 16
1
IAS
I’ll give someone brainliest!!! Help!!!
Which of the following is the equation of a line perpendicular to the line y = - 1/3 * x + 1 passing through the point (2, 7) ?
A. 3x - y = 1
B. - 3x - y = 1
C. 3x - y = - 1
D. - 3x + y = - 1
Answer:
Option C is the correct one
Step-by-step explanation:
given equation of a line is y=-1/3x+1
comparing the given equation with y=mx+c
therefore,slope(m)=-1/3
then,
slope of line perpendicular to the line having slope -1/3 is (m2)=3
Equation of line having slope (m2)=3 and passing through point (2,7) is
y-y1=m2*(x-x1)
or,y-7=3(x-2)
or,y-7=3x-6
or,3x-y-6+7=0
or,3x-y+1=0
or,3x-y=-1 is the req.equation.
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
-3
Step-by-step explanation:
The table represents the cost of flowers at the Tigerlily Flower Shop.
Answer:
The given table is
Quantity(x) Price(y)
1 2.00
2 3.50
3 5.00
4 6.50
5 8.00
6 9.00
It means the points on the graph are (1,2), (2,3.50), (3,5), (4,6.50), (5,8) and (6,9).
The graph 1 represents all the above mentioned point, therefore option 1 is correct.
According to the graph 2, at quantity 6 the price of flower is 12, which is not correct. Therefore option 2 is incorrect.
The quantity of flower is always a whole number. So the graph is defined on the whole numbers only. It means the graph is a scatter plot instead of a curve of a straight line.
Therefore the option 3 and 4 are incorrect.
Step-by-step explanation:
Which number is larger
Answer:
9
Step-by-step explanation:
When there are any negatives they will always be less then a positive.
-10,-9-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10
The larger the negative the less it is since its so far away from the middle (0)
-Greatest to least
-8,-5,3,9
15
A spinner on a board game has a radius of 3 inches and spins on a circular region as shown in the
figure.
3 in
The center of the circular region is the origin and the spinner's initial position is on the positive
x-axis. Rachel flicks the spinner, causing it to rotate 600°. What are the coordinates of the tip of
the spinner when it stops?
3
313
А
2
2
313
3
B
2
2
V3
с
1
2'
2.
V3
1
D
)
2
2
Answer:
Option A ( -3/2 , [tex]\frac{-3\sqrt{3} }{2}[/tex] )
Step-by-step explanation:
According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .Now We Are on ( -X axis ) & Completed 360*+180*=540* RotationNow After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)(For Diagram, Please Find in attachment)
Now In Triangle OAB
Cos60* = OA / OB1/2 = -X / 3 Thus X= -3/2
Sin60* = AB / OB[tex]\sqrt{3}[/tex]/2 = -Y / 3 Thus Y = -[tex]\sqrt{3}[/tex] * 3 /2
Pls pls pls pls pls help
Estimate the product of 8.82 x 9.41 by rounding each factor to the nearest whole number.
Answer: The estimated product is 81
8.82 and 9.41 are both 9 rounded to the nearest whole number
Therefore, 9*9=81.
i don’t know what the anwsered would be i don’t understand this module
Answer:25,000(0.15)^x
Step-by-step explanation:
I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.
Match each radical expression on the left with an equivalent expression on the right. Help me please
hope it helps you ♡
see the attachment for further information
1. Classify the number as rational or irrational.
32
Answer:
32 is rational number.
Step-by-step explanation:
Because it can be expressed as the quotient of two integers : 32/1
What integer values satisfy both inequalities? -1 < x ≤ 2 -2 ≤ x < 3
Answer:
0,1and2 brainliest me plsss po
Find the intersection of the lines y = x +1 and 3y + 2x = 13 without drawing the graph.
Answer:
The intersection point is (2, 3)
Step-by-step explanation:
The given (linear) equations for the point of intersection is required are;
y = x + 1...(1)
3·y + 2·x = 13...(2)
To find the point of intersection without using graph, we note that the point of intersection is the point at which the values of both equations are equal
We find the values of 'x' and y-coordinates at the point of intersection as follows;
Making 'y' the subject of equation (2) gives;
y = (13 - 2·x)/3
When both lines intersect, the 'x' and y-values are the same;
y = x + 1 for the first line, and y = (13 - 2·x)/3 for the second line, therefore, at the intersection point, we have;
y = y
x + 1 = (13 - 2·x)/3
3·(x + 1) = 13 - 2·x
3·x + 3 = 13 - 2·x
3·x + 2·x = 13 - 3
3·x + 2·x = 5·x = 13 - 3 = 10
∴ 5·x = 10
Therefore, at the point of intersection, x = 10/5 = 2
x = 2
'y' is given in equation (1) by y = x + 1, therefore, at the point of intersection, 'x = 2', we get;
y = x + 1
∴ The value of 'y' at the point of intersection is y = 2 + 1 = 3
y = 3
Therefore, the (x, y) coordinate at the point of intersection is (2, 3) which can be written as follows;
The point of intersection = (2, 3).
What’s the value of x?
Answer:
x = 4.5
Step-by-step explanation:
thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:
4/9 = 2/x
cross-multiply:
4x = 18
x = 4.5
The gross annual salary of a teacher is $54 750, what's his gross monthly salary
Answer:
4562.50 per month
Step-by-step explanation:
To find the monthly salary, divide by the number of months ( which is 12)
54750/12
4562.50 per month
8. On what day did Alfonso run faster? Day Distance (m) Time (min) Monday 1,020 6 Wednesday 1,554 9 a. Wednesday b. Monday
Find the value of x in the triangle shown below 3.5 4 3.5 x• 55•
Answer:
Step-by-step explanation:
Since this is not a right triangle, we will use the Law of Sines. For us that looks like this:
[tex]\frac{sin55}{3.5} =\frac{sinx}{4}[/tex] and cross multiply to get
4sin55 = 3.5sinx and solve for sinx:
[tex]sinx=\frac{4sin55}{3.5}[/tex] so
sinx = .9361737 Use the 2nd button on your calculator and the sin button to find that the angle
x = 69.4°. Not sure how you need it rounded. It's actually 69.4186°
Answer:
It is 70
Step-by-step explanation:
Khan Academy
Can anyone help me out with this I would truly appreciate it
Answer:
8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
6t - 20 - 32u
t = 6
u = 1/4
Step 2: Evaluate
Substitute in variables: 6(6) - 20 - 32(1/4)Multiply: 36 - 20 - 8Subtract: 8Answer:
8
Step-by-step explanation:
Given
6t - 20 - 32u ( substitute the given values into the expression )
= 6(6) - 20 - (32 × [tex]\frac{1}{4}[/tex] )
= 36 - 20 - 8
= 16 - 8
= 8
I will give BRAINLIEST to the correct answer
Answer:
<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.
3M+58+8M+155=180
11M=180-213
11M=-33
M=-3
SO,
<PCH
3M+58
=3*(-3)+58
=58-9
=49-DEGREE
The area of the base is 15cm. The height is 6 cm. What is the volume of the rectangular prism?
Step-by-step explanation:
P O R N G I R L S O N L Y
xni-jwtm-twb
A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
Answer:
3mm brainliest please
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
9mm times 1:3 of the rectangle is 245
Which of the following does NOT give you congruent angles?
CPCTC
Midpoint
Alternate Interior Angles
Triangle Sum Theorem
Answer:
Triangle Sum Theorem
Step-by-step explanation:
These do not give you congruent angles
Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
secA = [tex]\frac{65}{63}[/tex]
Step-by-step explanation:
cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]
This is a right triangle with hypotenuse = 65, opposite = 16 and
adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63
Then
secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]
Which answer is the correct answer above?
Which statement correctly describes the graph of g(x) = f(x - 9) ? x = 6 A. Function ghas the same horizontal and vertical asymptotes as function f. OB. Function g has the same horizontal asymptote as fand a vertical asymptote at . OC. Function g has the same horizontal asymptote as fand a horizontal asymptote at x = 9. D. Function ghas the same vertical asymptote as fand a horizontal asymptote at y = - 5 .
Answer:
-5
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here,
We have to determine:
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph; g(x) = f(x - 9)
here, we have,
The straight-line x=6 is a vertical asymptote of the graph of the function g(x) = f(x - 9) if at least one of these conditions is true:
we have,
A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
we know,
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
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