The quadratic function h(x) = x² - 3x + 6 has 2 roots.
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomials are classified based on degree as linear, quadratic, cubic etc.
A quadratic polynomial has a degree of 2, hence it has only 2 roots.
The quadratic function h(x) = x² - 3x + 6 has 2 roots.
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Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situation? Explain.
Using the function concept, it is found that:
Graph B is a function because each value of x corresponds to exactly one y-value.In a function, one value of the input can be related to only one value of the output.
In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.
At Graph B, for each value of x, there is only one value of y, hence it is a function.
Hence:
Graph B is a function because each value of x corresponds to exactly one y-value.
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PLS HELP WILL GIVE BRAINLYEST
131° is the right answer
Step-by-step explanation:
the supplementary angle to 139° (left of that angle, still under the red l line) is 180 - 139 = 41°.
therefore,
A = 180 - 90 - 41 = 49°.
B is the supplementary angle to A.
B = 180 - 49 = 131°
remember, the sum of all angles around one point on one side of a line is 180° (that is called supplementary angles).
and the sum of all angles in a triangle is always 180° too.
Which number sentence is true?
OA) 5.6 > |-8.91
OB) |-5.6] < |-8.91
OC) -5.6 > 1-8.91
OD 15.6] > 1-8.91
The first one (when simplify) is
5.6>8.91
Which is not true if you plot it on a number line
The second one (when simplify) is
5.6<-8.91
which is not true because it is the same thing as number 1
The third one (when simplify) is
-5.6>8.91
which is obviously not true since negatives are way smaller than positives
So that leaves us the last one
Thefore the answer is OD.
I hope this helped!!
A rare diamond, valued at $3,750, is gaining value at a rate of 4% each year. The value of a diamond, v, can be found using the equation v=p(1+r)t where p is the original value of the diamond, r is the rate, and t is the number of years the diamond gains value.
How much will the diamond be worth in 6 years?
$4,743.75
$4,744.95
$4,762.50
$4,875.00
Answer: $4,744.95
Step-by-step explanation:
v=3,750(1+4%) 6th power
What is 6n+5=17
WHAT DOES N EQUAL TOOOOO HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Let's solve your equation step-by-step.
6n+5=17
Step 1: Subtract 5 from both sides.
6n+5−5=17−5
6n=12
Step 2: Divide both sides by 6.
[tex]\frac{6n}{6} =\frac{12}{6}[/tex]
[tex]n=2\\[/tex]
I hope this help's :)
Answer:
n = 2
Step-by-step explanation:
[tex]6n + 5 = 17 \\ \: \: \: \: \: \: \ - 5 \: \: \: \: - 5 \\ - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \frac{6n}{6} = \frac{12}{6} \: \: \: \: \: \: \: \: \: \: \\ n = 2[/tex]
Hope this helps! Brainliest would be really appreciated!
the size of the angles of a quadrilateral are in the ratio 1:2:3:3. calculate the size of each angle???
The size of the angles of a quadrilateral are in the ratio 1:2:3:3. Calculate the size of each angle. Explanation. Verified. Step 1. 1 of 2.
What's the answer to this?
A standard die is rolled find the probability that the number rolled is greater than 4 Express your answer as a fraction in lowest terms or a decimal number rounded to three decimal places if necessary
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is [tex]\frac{2}{6}[/tex], but this can be simplified to [tex]\frac{1}{3}[/tex].
Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15 . (1 point)
quantity of x squared plus 21 over 3
quantity of x squared plus 11 over 3
quantity x plus 7 over 3
quantity of x plus 5 over 3
Answer:
(c) (x +7)/3
Step-by-step explanation:
Factor each expression and cancel common factors.
[tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{(x+7)(x+5)}{3(x+5)}=\boxed{\dfrac{x+7}{3}}[/tex]
Answer:
C
Step-by-step explanation:
passed the quiz
Pls help me 15 points total
Which value of x makes the equation true 3x-6/3 7x-3/6 ?A. -11 B. -9 C. -3 D. 3
Answer:im pretty sure its d
Step-by-step explanation:
please help me asap
ty
Answer:
y = -4x
Step-by-step explanation:
Subtract 8x both sides
2y = 0 + (-8x)
Divide by 2 both sides
y = -4x
BRAINLIEST
Please do one or more questions
Answer:
12. ⇒ 218 °
13. ⇒ 282 °
Step-by-step explanation:
Problem 12:
Given - MK = 10 m
JK = 52 °
Since ∠LNJ = 90 °
Then LKJ = 90 °
So, KL = 90 ° - 52 ° = 38 °
Now, MK = 180 °
= MKL = MK + KL
= 180 ° + 38 °
= 218 °
Problem 13:
VYX = 360° - (YW + 15°)
YW = 180° - 117° = 63°
VYX = 360° - (63° + 15°) = 360° - 78° = 282°
Answer:
Step-by-step explanation:
The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 14 8 16 9 18 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)
14/7 = 2
16/8 = 2
18/9 = 2
This shows the cost of one book is $2
Multiply the number of books bought by 2 to get the cost:
1 x 2 = 2
2 x 2 = 4
3 x 2 = 6
Answer: (1,2) (2,4) (3,6)
Starting from the origin (0,0) for every 1 book bought ( x axis) move 2 more up than the previous total (y axis)
Using the 3 ordered pairs in the answer at x value 1 place a dot at y 2, then a dot at x2,y4 and again at x3,y6
Answer:
I'm doing the same test right now the ratios are 1 to 2 but the answers would be 1 to 2, 2 to 4, and 3 to 6 . you have to double the numbers that are shown
Step-by-step explanation:
I didn't copy the guy above it's litterallty simple multiplication hope my answer helped
One angle in a triangle is 4 times the size of another angle.The third angle 90, and three angles of tue triangle add up to 180.How big are the two unknown anges?
Answer:
30 degrees and 60 degrees
#26: Angles
A triangle has angle measures of 42.5° and 86.7º. What is the measure of the third
angle in the triangle?
Answer:
50.8 degrees is the third angle
6.True or False.
A numeral, such as 22 is called a constant.
Answer:
True
Step-by-step explanation:
The term with no variable attached to it is the constant
Answer:
te voy a devolver el susto me diste 9 veces peor
Step-by-step explanation:
Determine the intercepts of the line
Answer:
25, -55
Step-by-step explanation:
Intercepts are where the line crosses the x and y axis
x intercept = 25
y intercept = -55
SOCCER Four soccer players are practicing a drill. Goalie A is facing Player B
to receive the ball. Goalie Athen turns tº to face Player A to pass her the ball. If
Goalie B is facing Player A to receive the ball, then through what angle
measure should Goalie B turn to pass the ball to Player B?
Answer:
x
Step-by-step explanation:
In a parallelogram opposite angles are equal, so if Goalie A angle is x, also Goalie B's will be x
The angle measure for Goalie B turn to pass the ball to Player B is given by the parallelogram and the angle is B = x°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be represented as ABCD
Now , the measure of Goalie A = x°
And , for a parallelogram
Opposite angles are congruent
So , the angle of Goalie B = angle of Goalie A
Substituting the values in the equation , we get
The angle for Goalie B = x°
Therefore , the value of B = x°
Hence , the opposite angle of parallelogram is x°
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What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4?
Answer:
[tex]f(x)\longrightarrow\infty[/tex] as [tex]x\longrightarrow\infty[/tex]
Step-by-step explanation:
We can see that all parts of the polynomial are positive, so as x gets larger, y will also get larger.
There is a line that includes the point (8,3) and has a slope of 1. What is its equation in slope-intercept form?
Answer:
y=x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-3=1(x-8)
y-3=x-8
y=x-8+3
y=x-5
Find the slope of this line.
Answer:
5/2
Step-by-step explanation:
To find a slope you use rise over run.
The graph shows that you rise 5 for every 2 right.
Given: 3(7x-9)-19x=-15
Prove: x=6
Step-by-step explanation:
3(7x-9)-19x = -15
21x-27-19x = -15
2x-27 = -15
2x = -15+27
2x = 12
x = 6
prove x = 6
Substitute x=6 into the equation.
3(7(6)-9)-19(6) = -15
3(42-9)-114 = -15
3(33)-114 = -15
99-114 = -15
-15 = -15 True✓
Here is the equation of a circle: x2 + y2 + 12x + 2y + 12 = 0
Find the center and radius of the circle.
Answer:
centre = (- 6, - 1 ) , radius = 5
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
Given
x² + y² + 12x + 2y + 12= 0
Collect the x- terms and the y- terms together and subtract 12 from both sides
x² + 12x + y² + 2y = - 12
Using the method of completing the square
add ( half the coefficient of the x / y coefficients )² to both sides
x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1
(x + 6)² + (y + 1)² = 25 ← in standard form
with (h, k ) = - 6, - 1 ) as centre and r = [tex]\sqrt{25}[/tex] = 5
PLEASE HELP ASAP TENTH GRADE GEOMETRY
Answer: SU = 4(1) + 1 = 5
Step-by-step explanation:
Since T is on segment SU we know the whole is eqaul to the sum of it’s parts.
ST + TU = SU substitute
3x - 1 + 3x = 4x + 1 simplify
6x - 1 = 4x + 1 solve for x
2x = 2
x = 1
ST = 3(1) -1 = 2
TU = 3(1) = 3
SU = 4(1) + 1 = 5
what is the right answer
giving out brainliest
What is 0.27 as a percent?
A)0.27%
B)27%
C)2.7%
D)270%
Answer:
B.
Step-by-step explanation:
to turn a decimal into a percentile you have to move the decimal point over two spaces to the right.
Answer:
B
Step-by-step explanation:
Move the decimal 2 places to the left to find a percent.
Which frequency table is consistent with the histogram of weights of 86 different students, below?
Answer:
B
Step-by-step explanation:
The incorrect tables each have at least one flaw that makes it not match the histogram.
A. The relative frequency associated with 4 of 86 is about 0.047, not 0.055. The relative frequencies are incorrect.
B. this table matches the histogram
C. The "bins" are not of uniform width, nor are they centered on the same values as shown in the histogram.
D. The values in a cumulative frequency table should be non-decreasing. The table value of 24 should be 54.
If
f (x) = -3x + 15
find:
f (x)
-6
Answer:
33
Step-by-step explanation:
f(-6) = -3(-6) + 15
= 18 + 15
= 33
Can someone help me with this question?
Answer:
radius, center, chord, diameter
Step-by-step explanation:
a. radius
b. center
c. chord
d. diameter