Negative
there are four quadrant in the coordinate plan systemvalues of X and y 1st quadrant - ++ 2nd - - + third - - fourth + -Need help to understand how to do this.
Answers for different section are given below;
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, given function;
f(x) = -x² - 4x + 6
1. If we take -1 common from the given function, we get
f(x) = -1 (x² + 4x - 6)
f(x) = -1 (x² + 4x) + 6
Thus, first block contains -1 and second block contains 4.
2. Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².
f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6
f(x) = -1 ( x² + 4x + 2²) +4 + 6
Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.
3. Then we factorize the bracket and simplify outside the bracket;
f(x) = -1 (x + 2)² + 10
Thus, first block contains -1, second block contains 2 and third block contains 10.
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Simplify the expression below. How many digits are in the answer?
2.784 - 3.00079 + 10.671 x 1.0798
Answer:
11.3057558
Step-by-step explanation:
Which is not a characteristic of the absolute value parent function?
Answer:
B
Step-by-step explanation:
the range of y=|x| is not all real numbers its [0,inf)
sign - ...
Zekrom
Translate the following into algebraic expressions:
If a number is three less than five times m, what is the number
Answer:
5m-3
Step-by-step explanation:
Answer:
5m-3
Step-by-step explanation:
Factorise x³ + 2x I can't understand this please give me the answer
Answer:
[tex]x(x^2+2)[/tex]
Step-by-step explanation:
Since x is the only common term, you factor that part out using the distributive property.
Solution:
Detailed explanation:
Hii! Let's factorise this expression!
Did you see that both terms, x^3 and 2x, have an x in common? That's what we are going to factor out, by dividing x^3 and 2x by x.
x^2+2 is what we obtain.
Now, this can't be the end of the process. We also need to put parentheses around x^2+2.
(x^2+2)
Next we put that x we factored out a short while ago outside the parentheses.
x(x^2+2). Did you get it?
________
Hope I helped, best wishes & happy studies!
Please reach out if any queries arise. Thankyou!!
_______
MARKING BRAINLIEST TO THE FIRST CORRECT ANSWER If triangle BCD was reflected over the x-axis, what would be the coordinates of the new triangle's vertices?
If BCD was reflected over the x axis then the coordinates will be B(-1,0) C(-1,2) and D(-4,1).
Given BCD is a triangle having coordinates (-1,0),(-1,-2),(-4,-1).
When the triangle is reflected over the x axis then all the values of y will change from negative to positive and the values of x remains same because in the second and third quadrant the values of x remains same and in the second quadrant the values of y used to be positive and in the third quadrant the values of y used to be negative.
So coordinates of B will change from (-1,0) to (-1,0)
coordinates of C will change from (-1,-2) to (-1,2)
coordinates of D will change from (-4,-1) to (-4,1)
New coordinates will be (-1,0) (-1,2) (-4,1).
Hence if BCD was reflected over x axis the new coordinates will be (-1,0) (-1,2) (-4,1).
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Find the surface area of the composite figure.
3 cm
12 cm
2 cm.
10 cm
SA =
6 cm
8 cm
[?] cm²
If you'd like,
you can use a
calculator.
Answer:
Surface area of the composite figure = 508cm²
Step-by-step explanation:
Composite figures :- A composite shape is a 2D shape that is made from a combination of other basic 2D shapes and polygons. These shapes include squares, rectangles, triangles, circles.
Surface area of cuboid = 2(LB + LH + BH)
There are 2 cuboids in the question therefore solving them separately,
For bigger cuboidL = 12cm
B = 2cm
H = 10cm
putting these values in the above formula,
SA of bigger cuboid = 2(12×2 + 12×10 + 2×10)
SA = 328cm²
For smaller cuboidL = 8cm
B =3cm
H = 6cm
SA = 2(8×3 + 8×6 + 3×6)
SA = 2×90
SA = 180cm²
now surface area of whole figure,
SA of bigger cuboid + SA of smaller cuboid
328cm² + 180cm²
508cm² answer
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If
tan (0) = -√3
then one possible value of
0
in degrees is:
One possible answer is 120°
When a=2 and b=4, the value of the expression is
Answer:
the answer is 5
Step-by-step explanation:
if you plug in everything, then the equation is the square root of 2 to the 3rd power minus 7 plus the absolute value of 4.
So first 2 to the third power is 8
Then the absolute value of negative 4 is 4
So 8-7 is 1
The square root of 1 is 1
1 plus 4 is 5, the answer is 5
Which ordered pair would form a proportional relationship with the point graphed below?
On a coordinate plane, a line goes through points (0, 0), (10, 40) and (negative 10, negative 40).
(40, 10)
(–5, –10)
(5, 20)
(–10, –20)
Answer:
(5,20)
Step-by-step explanation:
divide both sides of (10, 40) by the same number 2 and you will get (5,20). The points should all lie on the same straight line to form a proportional relationship.
Answer: 5,20
Step-by-step explanation:
Which statement is needed to complete this syllogism?
If the angles of a triangle are all equal, then the sides of a triangle are all equal.
If the sides of a triangle are all equal, then the triangle is equilateral.
Therefore, if the angles of a triangle are all equal, then ________________________.
Group of answer choices
the sides of a triangle are all equal
the triangle is equiangular
the angles of a triangle are all equal
the triangle is equilateral
If the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.
What is an equilateral triangle?A triangle having all the three sides equal and all the angles equal is called the equilateral triangle.
As we can see that if the triangle is having all the angles equal then all three sides of the triangle must be equal. The triangle is termed the equilateral triangle.
Therefore the angles of a triangle are all equal, then the sides of a triangle are all equal. The correct answer is option A.
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Help pls helpppppopppppp
Answer:
Since the angle of EFC = 33°, DAF = 33° because DAF and EFC have the same angle.
Use set notation to describe the domain and range of each graph. Use set notation to describe the domain and range of each graph .
The range and domain of the graphs have been determined .
What is Domain and Range of a Function ?Domain is the value that can be an input to the function and the range is all the value a function can obtain.
From the given graphs ,
For Graph 1
It can be seen that the line extends from x = -5 to +4
where -5 is not included
therefore the domain is given by
D = { x| -5 < x ≤4}
and the range is
R = {y | -3 < y≤4}
For Graph 2
The input value x extends from -∞ to +∞
so the domain is
D = { x| - ∞ ≤ x ≤ +∞ }
and the range is given by
R = {y | - ∞ ≤ y ≤ 3}
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I need help with this math question (Img included)
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the function’s equation?
To find the equation of a parabola given the vertex and the zeroes, we can use the intercept form equation to help us:
[tex]y=a(x-r)(x-s)[/tex]
r and s = intercepts/zeros of the graphSolving the QuestionWe're given:
Zeros: -8, 4Maximum: (-2, 18)[tex]y=a(x-r)(x-s)[/tex]
⇒ Plug in the given information:
[tex]y=a(x-(-8))(x-4)\\18=a(-2-(-8))(-2-4)\\18=a(-2+8)(-2-4)\\18=a(6)(-6)\\18=a(-36)\\1=-2a\\\\a=-\dfrac{1}{2}[/tex]
Answer[tex]a=-\dfrac{1}{2}[/tex]
does this table represent a function? why or why not x:2,2,3,4,5 y:1,4,4,2,5
Answer:
No, the table does not represent a function.
Step-by-step explanation:
By definition, a function will not have 2 or more results for the same input.
The table shows two values of y for the same x: (2,1) and (2,4). The same input, 2, results in two different values, 1 and 4.
See attached image.
Solve the equation for 0 <= x < 2pi.
(2sin x - 1)(2cos^2 x - 1) = 0
If
(2 sin(x) - 1) (2 cos²(x) - 1) = 0
then either
2 sin(x) - 1 = 0 or 2 cos²(x) - 1 = 0
sin(x) = 1/2 or cos(2x) = 0
The first equation gives two families of solutions,
x = arcsin(1/2) + 2nπ = π/6 + 2nπ
x = π - arcsin(1/2) + 2nπ = 5π/6 + 2nπ
where n is any integer; we get the solutions x = π/6 and x = 5π/6 in the interval 0 ≤ x < 2π when n = 0.
The second equation also gives two families of solutions,
2x = arccos(0) + 2nπ = π/2 + 2nπ
2x = -arccos(0) + 2nπ = -π/2 + 2nπ
Divide both sides by 2 :
x = π/4 + nπ
x = -π/4 + nπ
Then the solutions we want are x = π/4 and x = 5π/4 (when n = 0 and 1 in the first family, respectively) and x = 3π/4 and x = 7π/4 (when n = 1 and 2 in the second family).
We have 6 solutions, so A is the correct choice.
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below:
Answer choices:
Compare P(Male or Type B) with P(Male | Type B). (5 points)
P(Male or Type B) > P(Male | Type B)
P(Male or Type B) = P(Male | Type B)
P(Male or Type B) < P(Male | Type B)
There is not enough information.
The option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
P(Male or Type B) = (number of male + number of type B - number that are both)/total population
[tex]\rm = \dfrac{103 + 50- 38}{200 }[/tex]
= 0.575
P(Male | Type B) = (number of male people inside the type B)/(number of Type B people)
= 38/(38 + 12)
= 0.76
0.575 < 0.76
P(Male or Type B) < P(Male | Type B)
Thus, the option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
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find the five ratoinal numbers between -2/3 and -1
Answer:
-31/30, -32/30, -33/30, -45/30, -49/30.
Step-by-step explanation:
-2/3 and -1 make denominators 30
-60/30 and -30/30
put any five
What is the exact value of sin (165 degrees)
Answer:
Step-by-step explanation:
(√6 - √2)/4
Round to 2 decimal places 8.041
Answer:
8.04
Step-by-step explanation:
If the last digit in 8.041 is less than 5, then remove the last digit.
I hope this helps!
the diagram shows a logo
Answer:
where is the digram may i see the digram
2x - 8≤ -10
please find the value of x.
SHOW WORK IF POSSIBLE
Answer:
x ≤ - 1
Step-by-step explanation:
2x - 8 ≤ - 10 ( add 8 to both sides )
2x ≤ - 2 ( divide both sides by 2 )
x ≤ - 1
Answer:
x ≤ -1
Step-by-step explanation:
Given,
2x - 8≤ -10
Solution:
Add 8 to both sides:
2x-8+8≤-10+82x≤-2Divide both sides by 2:
2x/2 ≤ -2/2x ≤ -1Value of x is ≤ -1.
Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
The complete question is
"Given that the expression “p dollars for every q items” describes a unit price, which statement must be true?
p = 1
p = q
q = 1
pq = 1"
The statement that must be true would be from option D; pq = 1.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that the expression “p dollars for every q item” describes a unit price,
So, the equation will be formed as
p x q = 1
pq = 1
Hence, the statement that must be true would be from option D; pq = 1.
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please helpp (15 points)
We have:
vertex = (-1, 16)vertical intercept = (0, 14)x-intercepts = (-3,83, 0), (.1,83, 0).How to find the vertex of the parabola?
For a parabola like:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
In this case, we have:
[tex]y = -2x^2 -4x + 14[/tex]
So the vertex is at:
[tex]x = 4/2*(-2) = -1[/tex]
To get the y-value, we need to evaluate in x = -1.
[tex]y = -2*(-1)^2 - 4*(-1) + 14 = -2 + 4 + 14 = 16[/tex]
So the vertex is (-1, 16)
How to find the y-intercept?To do that we just evaluate in x = 0.
[tex]y = -2*0^2 -4*0 + 14 = 14[/tex]
The vertical intercept is (0, 14).
How to get the x-intercepts?Using Bhaskara's formula we get:
[tex]x = \frac{4 \pm \sqrt{(-4)^2 - 4*(-2)*14} }{2*-2} \\\\x = \frac{4 \pm 11.31 }{-4}[/tex]
So the two roots are:
x = (4 + 11.31)/(-4) = -3.83
x = (4 - 11.31)/(-4) = 1.83
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5-4-3-2
16
6/ +
77?1?
x
Which is the general form of the equation of the circle
shown?
Ox²+²+4x-2y-4 = 0
Ox+y+4x-2y + 2 = 0
Ox² + y² 4x +2y-4 = 0
Ox² + y² 4x + 2y + 2 = 0
Answer:
1st option
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 2, 1 ) and r = 3 , then
(x - (- 2) )² + (y - 1)² = 3² , that is
(x + 2)² + (y - 1)² = 9 ← expand factors using FOIL
x² + 4x + 4 + y² - 2y + 1 = 9
x² + 4x + y² - 2y + 5 = 9 ( subtract 9 from both sides )
x² + 4x + y² - 2y - 4 = 0 , that is
x² + y² + 4x - 2y - 4 = 0 ← in general form
Answer:
[tex]\textsf{1)} \quad x^2+y^2+4x-2y-4=0[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radiusFrom inspection of the graph:
center of the circle = (-2, 1)radius of the circle = 3Substitute the found values into the formula:
[tex]\implies (x-(-2)^2+(y-1)^2=3^2[/tex]
[tex]\implies (x+2)^2+(y-1)^2=9[/tex]
Expand and simplify:
[tex]\implies (x+2)^2+(y-1)^2=9[/tex]
[tex]\implies x^2+4x+4+y^2-2y+1=9[/tex]
[tex]\implies x^2+y^2+4x-2y+5=9[/tex]
[tex]\implies x^2+y^2+4x-2y-4=0[/tex]
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what is the midpoint between 1 + 9i and 5 - 3i?
Answer:
The midpoint between 1 + 9i and 5 - 3i is 3 + 3iGivenPoints 1 + 9i and 5 - 3iTo find Midpoint between given pointsSolution
Midpoint is the average of the two points. Find it as follows:
(1 + 9i + 5 - 3i)/2 = (6 + 6i)/2 = 3 + 3iCreate three probability problem, Solve the problems.
Question:
A fair die is tossed.
Find the probability of obtaining an even number
Answer:
sample space=(1,2,3,4,5,6)
number of favourable outcomes=3
Event A= (outcome is even)
= (2,4,6)
Total number of outcomes=6
Thus, P(even number)=3/6
=1/2
Question 2:
A drawer contains 10 identical handkerchiefs of which 2 are white, 5 are blue, and 3 are pink. A handkerchief is drawn at random. what is the probability that it is white or pink?
Answer:
total number of outcomes=10
P(the handkerchief is white or pink)=2+3/10
=5/10
=1/2
Solve |2x - 6| < 10
{x|-2 < x < 8}
{x|2 < x < 8}
{x|-8 < x < 8}
5 kilograms of coffee are going to be shared equally among 44 people.
About how many kilograms of coffee does each person get?
Choose 1 answer:
(Choice A)
A
Between 0 and 1 kilograms
(Choice B)
B
Between 1 and 2 kilograms
(Choice C)
C
Between 2 and 3 kilograms
(Choice D)
D
Between 3 and 4 kilograms
Answer:
A
Step-by-step explanation:
5/44=0.11kg
Answer:
I think A
Step-by-step explanation:
I think A would be the answer.
Have a nice day !