Answer:
The vertex is located on the x-axis between the second and third quadrants
Step-by-step explanation:
Whereby the function is f(x) = (x + 3)², we have;
f(x) = (x + 3)² = x² + 6·x + 9
The vertex, (h, k), of the quadratic function given in general form, a·x² + b·x + c is found as follows;
h = -b/(2·a) and k = f(h)
Therefore by comparison of the given quadratic function and the general form of a quadratic function, we have;
a = 1, b = 6, c = 9
h = -6/(2 × 1) = -3
k = f(-3) = (-3)² + 6 × (-3) + 9 = 0
The vertex (h, k) = (-3, 0)
Therefore, the location of the vertex is on the x-axis axis between the second and the third quadrant.
Mark's scores on his first nine assignments were: 10, 10, 9, 9, 10, 8, 9, 10, and 8.
a. What are the median and range of his scores?
b. What is his mean (average) score so far?
c. Mark did not do the tenth assignment, so he got a zero on it. Zero is an outlier for these assignments. What is his new mean?
If you help me with my last question I will help you with this one
Answer:
Median= 9
Range= 2
Mean= 9.2
Mean after zero= 8.3
Step-by-step explanation:
8, 8, 9, 9, 9, 10, 10, 10, 10
Median= order from least to greatest then eliminate from left to right until you get to the middle
Range= Subtract biggest # minus smallest #
Mean= add up all the numbers then divide by 9
Mean after zero= add 0 with other numbers then divide by 10
Carlos is extending hood backyard patio. Currently, the area of the patio is n2+16n+64. West are the new length and width of the patio, feet, if Carlos extends the length by 2 feet and the width by 2 feet
Answer:
Width = 8 feet
Length = 8 feet
Step-by-step explanation:
Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.
Step
We find the Length and Width
This is done by factorising the area
Area = n² - 16n + 64 = 0
n² - 8n - 8n + 64 = 0
(n² - 8n) - (8n +64) = 0
n(n - 8) -8(n - 8) = 0
(n - 8) (n - 8) = 0
n - 8 = 0
n = 8
The length and width = 8 feet
Step 2
New length and width by extension is calculated as:
Width = 8 feet + 2 feet = 10 feet
Length = 8 feet + 2 feet = 10 feet
Find the area of the trapezoid to the nearest tenth.
Plz help me. Giving branliest
Answer: im not sure about this but I’ll try
24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles
Step-by-step explanation:
what is the mathematical equation of 9932x6394=
Answer:
Step-by-step explanation:
63,505,208
can you choose me brainliest?
(7 x6 )+(8x8)-5 gives the number of slicess were sold witch describe a part of this expression what's the sum
Answer:
"101" seems to the appropriate response. The further explanation is provided below.
Step-by-step explanation:
The given expression is:
⇒ [tex](7\times 6 )+(8\times 8)-5[/tex]
On solving the brackets, we get
⇒ [tex]42+64-5[/tex]
On applying addition, we get
⇒ [tex]106-5[/tex]
On applying subtraction, we get
⇒ [tex]101[/tex]
Please help !! 10 pts!!!!
Y = 8000/1000= 8
Y= 8*20
Y= 160
Write an expression that is equivalent to: -1/2(10 + 1/4)
Answer:
Step-by-step explanation:
-1/2(10 + 1/4)
10+1/4 = 41/4
Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction
-1/2(10.25)= -41/8 or 5.125
pls help!! n33d help
Answer:
6 and 12
Explanation:
(b.) is under set A but not set B, meaning that all the elements there are multiples of 3 that are not odd numbers.
all the multiples of 3 that are less than 16: 3 6 9 12 15
all the multiples of 3 that are even numbers: 6 12
thus, the elements that go in (b.) are 6 and 12.
i hope this helps! :D
2 * blank equals 6.5
Answer:
3.25 or 3 and 1/4
Step-by-step explanation:
The algebraic equation is 2x = 6.5.
Divide by 2 to get your answer.
6.5 divided by two is 3.25.
x = 3.25
Answer:
3.25
Step-by-step explanation:
just take away the 25 and multiply it that way
Plz give me brainllest
6th GRADE MATH
Kevin is planting 1515 bushes and 99 trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Kevin can plant?
Answer:
rows.
Answer:
15 rows
Step-by-step explanation:
1515/99=15.30 simplify is 15
please helppppppppppp
i put it at 50 points-
Answer:
98
Step-by-step explanation:
(1)/(4p)(x-h)^(2)+k=0 Multiply the equation by 4p. Explain how different values of k affect the number of zeros of the polynomial. Consider k > 0, k = 0, and k < 0. Assume p > 0.
Answer:
Step-by-step explanation:
Assume that and multiply the equation by 4p. Then you obtain the equation (x-h)^2+4pk=0.
1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.
2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.
2) If k<0, then 4pk<0 and the equation has two different solutions and there are two zeros.
Answer:
Given equation:
[tex]\frac{1}{4p} (x - h)^2 + k = 0[/tex]Multiply this by 4p to get:
(x - h)² + 4pk = 0Rewrite this as:
(x - h)² = 4pk1) If p > 0 and k < 0
(x - h)² < 0, then no real solutions as left side is always positive2) If p > 0 and k = 0
(x - h)² = 0, then x = h, one solution = 1 zero3) If p > 0 and k > 0
(x - h)² > 0, then there 2 real solutions = 2 zeros:x = h ± 2[tex]\sqrt{pk}[/tex]7 is ten times the value of ?
1. 0.007
2. 70
3. 0.07
4. 0.7
Answer:
it's NUMBER 4. 0.7
Step-by-step explanation:
sorry for caps
Help! I’ll give brainliest!
Answer:
d) -2
Step-by-step explanation:
(-1 - 19)/(16 - 6)
-20/10 = -2
A six sided die is rolled and a spinner with 5 equal spaces labeled A-E is spun. Find the P(rolling
a 1 and spinning A). Answer as simplified fraction.
Answer:
1 / 30
Step-by-step explanation:
For a six - sided die :
Sample space = (1, 2, 3, 4, 5, 6)
P(rolling a 1) = required outcome / sample space = 1/6
Sample space for spinner = (A, B, C, D, E)
P(spinning A ) = required outcome / sample space = 1/5
P(spinning A) = 1 / 5
P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30
X2+2x-8 factorised.
Answer:
( x− 2 ) ( x + 4 )
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 2x - 8 \\ sum = 2 \: and \: product = - 8 \\ factors = 4 \: and \: - 2 \\ = > {x}^{2} + 4x - 2x - 8 \\ = x(x + 4) - 2(x + 4) \\ = (x - 2)(x + 4)[/tex]
Please I need help now! This is due today! Look at the pic below.
Answer:
B
Step-by-step explanation:
What is the value of x in the diagram below?
Answer:
18
Step-by-step explanation:
The two angles are vertical angles which mean they are equal
2x = 36
Find x by dividing both sides by 2
X = 18
help brainiest to whoever right
The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s
(
m
/
s
)
.
When
s
=
20
,
P
=
2000
.
Work out the speed (to 1 DP) when the power is
1960
watts
Answer:
30
Step-by-step explanation:
A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible lengths of the legs?
Answer:
The possible length of the triangle =
1) (1inches, 196inches)
2) (2incheq, 98inches)
3) (4inches , 49 inches)
4) (7 inches , 28 inches)
Step-by-step explanation:
We are told the above Triangle is not an Isosceles Triangle
Hence, we assume it is a right angle triangle
The area of a triangle is = 1/2 × Base × Height
= let us represent Base and Height = x
Hence:
1/2 × x × x = 98
x² /2 = 98
Cross Multiply
x² = 98 × 2
x² = 196
Step 2
We find the factors of 196
1× 196 = 196 (1, 196)
2 × 98 = 196 (2, 98)
4 ×49 = 196 (4, 49)
7 × 28 = 196 (7, 28)
Therefore, all the possible length of the triangle =
1) (1inches, 196inches)
2) (2incheq, 98inches)
3) (4inches , 49 inches)
4) (7 inches , 28 inches)
Due tonight.. *no links*
Answer:
angle 5 = 149°
angle 7 = 149°
based on the construction below, which conclusion is not always true
Answer:
B
Step-by-step explanation:
I just did the problem as homework
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Answer:
D.) the amount in the account increase by 4% each year
Step-by-step explanation:
Compound interest formula: P*(1+r/n)^(nt)
P=initial principal balance
r=interest rate
n=times applied per [time (eg year)]
t=number of time periods gone by
The expression: 2500(1.04)^x
The expression: 2500(1+1/25)^(nt)
1.04=1+1/25=increases by 4% each year
Helppp this is a Algebra question
I do not understand this at all!
Answer:
∠1 = 51° ∠2 = 39°
Step-by-step explanation:
ok since the picture is a right angle put it equal to 90
like this:
3x + x + 22 =90
4x + 22 = 90
4x = 68
x = 17
now we plug it in:
3(17)= 51°
(17) + 22 = 39°
*a straight line is equal to 180, a right angle is 90
does that make sense?
please help need answer
Answer:
$3
Step-by-step explanation:
3 dollars because
1 pound = 16 ounces
and 1 pound costs 1.5 dollars
if there are 32 ounces of broccoli, you divide the number of ounces by 16 and multiply that by 1.5
32/16 = 2 x 1.5 = 3
Answer:
$3.00
Step-by-step explanation:
Since 1 pound = 16 ounces and there are 32 ounces, by dividing 32/16 will equal to 2 pounds, hence $1.50 x 2 =$ 3.00
if the 55 employees who work overtime make up approximately 42% of all employees at the company, how many employees are there in total
Answer:
Approximately = 131 employees in total
Step-by-step explanation:
if the 55 employees who work overtime make up approximately 42% of all employees at the company, how many employees are there in total?
Let us represent total number of employees = x
Hence,
42% of x = 55 employees
42/100 × x = 55
42x/100 = 55
Cross Multiply
42x = 100 × 54
x = 100 × 55/42
x = 130.95238095 employees
Therefore, there is approximately a total 131 employees
6 cm 4 cm 10 cm What is the surface area of the figure?
Answer:
248 cm^2
Step-by-step explanation:
in order to get the figures surface area you only need to find the area of all 6 sides
in this case the two ends are 4 by 6
the front and back are 10 by 6
and the top and bottom are 10 by 4
this would mean that we need to multiply
(4*6)*2
(10*6)*2
(10*4)*2
which would look like
(4*6)*2= (24)*2= 48
(10*6)*2= (60)*2=120
(10*4)*2= (40)*2=80
and finally the sum of the equations is the surface area of the figure
48+120+80=248