Answer:
Maximum: (-1,9)
Step-by-step explanation:
Vertex form of the quadratic function
If the graph of the quadratic function has a vertex at the point (h,k), then the function can be written as:
[tex]y=a(x-h)^2+k[/tex]
Where a is the leading coefficient.
We are given the following function:
[tex]y =-2x^2-4x+7[/tex]
To find the vertex, we need to complete squares. First, factor -2 on the first two terms:
[tex]y =-2(x^2+2x)+7[/tex]
The expression in parentheses must be completed to represent the square of a binomial. Adding 1 and subtracting 1:
[tex]y =-2(x^2+2x+1- 1)+7[/tex]
Taking out the -1:
[tex]y =-2(x^2+2x+1)+2+7[/tex]
Factoring the trinomial and operating:
[tex]y =-2(x+1)^2+9[/tex]
Comparing with the vertex form we have
Vertex (-1,9)
Leading coefficient: -2
Since the leading coefficient is negative, the function has a maximum value at its vertex, i.e.
Maximum: (-1,9)
divide the decimals 708.4 + 1.456
Answer:
709.856
Step-by-step explanation:
I NEED HELPPPP YALL on this :)
Answer:
a. 35°
b. 6 units
Step-by-step explanation:
a. By the property of intersecting tangent and secant outside of a circle, we have:
[tex] m\angle P = \frac{1} {2} \times \bigg(m\widehat{QS} - m\widehat{QR}\bigg) \\\\
m\angle P = \frac{1} {2} \times \bigg(150\degree - 80\degree\bigg) \\\\
m\angle P = \frac{1} {2} \times 70\degree \\\\
\huge\purple {\boxed{m\angle P =35\degree}} \\[/tex]
b.
[tex] PS = PR + RS = 4 + 5 = 9\: units\\[/tex]
By the property of intersecting tangent and secant outside of a circle, we have:
[tex]
PQ^2 = PR\times PS\\\\
PQ^2 = 4\times 9\\\\
PQ^2 = 36\\\\
PQ =\pm \sqrt {36} \\\\
PQ=\pm 6\\[/tex]
Since, PQ can not be a negative number.
So, PQ = 6 units.
Which set of ordered pairs represents y as a function of x?
O {(4,7), (4,6), (4,4), (4,1)}
{(3, 2), (4,3), (5,2), (2.6)}
o {(2,5), (3, 1), (2, 1), (4,7)
o {(1,3), (3,5), (2,5), (1.6)]
Answer:
A
Step-by-step explanation:
29 people went into a store 3 people was looking for grapes out of 8 plus there was 5 out of 6 people looking for peanuts
Answer: Ok what is the question though?
Step-by-step explanation:
When 508,000,000 is written in scientific notation, what will be the value of the decimal number? pizzzz help
Answer:
5.08 * 10^8
Scientific notation requires that the number be written as a number between one and ten multiplied by the appropriate power of ten. In other words how many times must you multiply 5.08 by 10 in order to get 508,000,000? the answer is eight times so the result is 5.08 * 10^8
Step-by-step explanation:
The angle measures of a triangle are shown:
Angle A: (5x – 5) degrees
Angle B: (3x + 3) degrees
Angle C: (5x) degrees
The sum of the measures of the three angles is equal to 180°. What is the measure of Angle B?
Answer:
∠ B = 45°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
5x - 5 + 3x + 3 + 5x = 180, simplify
13x - 2 = 180 ( add 2 to both sides )
13x = 182 ( divide both sides by 13 )
x = 14
Thus
∠ B = 3x + 3 = 3(14) + 3 = 42 + 3 = 45°
Using the triangle below, find the value of x.
A
12.59
B
11.41
C
63.89
D
24.47
Answer:
b
Step-by-step explanation:
it looks like the right anwser
If you want brainlest you’ll need to answer this please it’s URGENT
Answer:
i cant see the whole thing..
9) A basic cell phone plan at Verizon Wireless costs $45 a month with an additional $0.10 per text message sent. AT&T charges $30 a month with an additional $0.13 per text message sent. How many text messages would you have to send for the plans to cost the same? If you send an average of 1200 text messages a month, which company would you want to choose as your provider?
a. Define your variables &Write your system of equations
b. Use your equations to solve. Make sure you label your answer
Number of tests made =x
Verzon C(x) = 45 + 0.1x => 45+0.1*1200 =165
AT & T C(y) = 30 + 0.13x=> 30 + 0.13*1200=186
For 1200 texts C(x) is less than C(y)
If the costs are to be the same then
45 + 0.1x = 30 + 0.13x
15=0.03x
15/0.03= x
500=x
500 texts
The graph shows the relationship between the amount of miles walked and the money,dollars,collected
Answer:
$20/mile
Step-by-step explanation:
I'm assuming you're looking for the slope so if that's it, your answer would be $20/per mile walked
I am so very confused, answers please.
the area for the square below is 36 square inches. what is the length of its sides
Answer:
6
Step-by-step explanation:
Answer:
5-7-8-4'683
Step-by-step explanation:
5565674565343
what is the following product
Answer:
B
Basically your dividing.
HELP ME PLEASE ITS EASYY
in your math class there are 2 Boys for every 3 girl.which of the following be the ratio of Boys and girl in the class?
Answer:
B. 14/21
Step-by-step explanation:
Answer:
B. 14/21
Step-by-step explanation:
They are multiplied by 7 because,
BOYS : 2x7=14
GIRLS : 3x7=21
NEED HELP FAST PLEASE!!!!
Answer:
A B and C
Step-by-step explanation:
Lines that are parallel have the same x value
Ex. y=4x+5 is parallel to y=4x-12
Last month, a store sold 110 video games. This month, the store sold 77 video games. Find the percent decrease. Round the nearest percent.
Answer:
so the anserw was dukiemane cuz u duike
Step-by-step explanation:
dukie
A window washer cleaned 28 windows in 4 hours. At this rate, how many windows did he clean in 9 hours?
if u can answer quickly that would be great!
Answer:
63
Step-by-step explanation:
I need help please
Pre algebra
It’s due please
Answer:
Jk is parallel to LM
Step-by-step explanation:
Answer:
A
Step-by-step explanation: in translations the shape will stay the same unless dialations if you use transfer paper you can see it
What type of slope does this line have?
positive
negative
zero
undefined
Answer:
POSITIVE
Step-by-step explanation:
POSITIVE cuz it goes up
Answer:
zero
Step-by-step explanation:
Games that are typically educational games intended for a preschool audience, and do not contain any inappropriate or objectional content.
Question 2 options:
A T Teen
B eC Early Childhood
C M Mature
D E Everyone
Answer:
B. EC
Step-by-step explanation:
Layala and Zahra have 2700 marbles in the ratio of 2:7. How many marbles Zahra must have gave away so that they both would have the same number of marbles?
Answer:
1500
Step-by-step explanation:
Given that :
Total number of marbles held by Layala and Zahra = 2700
Ratio = 2 : 7
Layala's share of marbles : (2 / (2+7)) * 2700
= 2/9 * 2700
= 600
Zahra's share of marble : (7 / (2+ 7)) * 2700
= 7 / 9 * 2700
= 2100
Hence, Zahra must have given away (2100 - x) = 600
2100 - 600
= 1500 marbles, so that both Zahra and Layala have the same number of marbles
What is x ?
(Ps that number by the = sign is not the answer)
Answer:
x = 20
Step-by-step explanation:
2 + 3x = 62
3x = 60
x = 20
The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5, 13, 12. A larger triangle has side lengths of x, blank, 18. 6.9 7.5 10 11
Answer:
x = 7.5
Step-by-step explanation:
Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.
Given that the length of sides of the smaller triangle are; 5, 13, 12.
Given also that the length of the dilated triangle are; x, blank, 18.
Comparing the length of the last sides of the two triangles, we have;
(scale factor x 12) + 12
= ([tex]\frac{1}{2}[/tex] x 12) + 12
= 6 + 12
= 18
Thus the scale factor for the dilation is [tex]\frac{1}{2}[/tex]. So that:
x = ([tex]\frac{1}{2}[/tex] x 5) + 5
= 2.5 + 5
= 7.5
x = 7.5
And also,
blank = ([tex]\frac{1}{2}[/tex] x 13) + 13
= 6.5 + 13
blank = 19.5
Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18
Answer:
7.5
Step-by-step explanation
CUZ IMMA BIG BRAIN
18 The Holcombe family went out to dinner. The meal cost $54.65. The sales tax is 8% of the meal. The tip was 18% of the meal and tax. There are 5 people in the Holcombe family. What was the cost per person for the meal, including sales tax and tip? A $10.93 B $13.77 C $13.93 D $16.77
Answer: C
Step-by-step explanation:
Answer:The answer is C $13.93
Step-by-step explanation:
I calculated it then rounded it your welcome btw
HURRYYYY!!!!
which relation is a function
Answer: C
Step-by-step explanation: Because it passes the vertical line test
Pls
F(x) = 4x^4 +5x -3
G(x)= 4x3 - 3x3 +5.
Find (f-g) (x)
Answer:
After solving we get [tex]\mathbf{(f-g)(x)=-4x^3+7x^2+5x-8}[/tex]
Option A is correct option.
Step-by-step explanation:
We are given :
[tex]f(x) = 4x^2 +5x -3\\g(x)= 4x^3 - 3x^2 +5[/tex]
We need to find (f-g)(x)
(f-g)(x) is equal to f(x)-g(x)
So, finding (f-g)(x)
[tex](f-g)(x)=f(x)-g(x)\\(f-g)(x)=4x^2+5x-3-(4x^3-3x^2+5)\\(f-g)(x)=4x^2+5x-3-4x^3+3x^2-5\\Combining \ like \ terms:\\(f-g)(x)=-4x^3+3x^2+4x^2+5x-3-5\\(f-g)(x)=-4x^3+7x^2+5x-8[/tex]
So, after solving we get [tex]\mathbf{(f-g)(x)=-4x^3+7x^2+5x-8}[/tex]
Option A is correct option.
HELP!!!!MATH!!!!QUICK
Answer:ion know the answer but i need the points
Step-by-step explanation:
Tell which property is represented. 2 * 16 = 16 * 2
Answer:
Commutative property of multiplication
pls mark me brainiest
Step-by-step explanation:
Answer: The Commutative Property of Multiplication
Step-by-step explanation: The commutative property of multiplication states that when two numbers are being multiplied, their order can be changed without affecting the product. In this case, changing the order of 16 and 2, doesn’t matter because they will always be equivalent to each other.
If todd spent 4.5 hours studying last week, how many minutes did he spend studying?
A.540 mins
B. 270 mins
C.240 mine
D.64.5 mins
Answer:
It would be B.
Step-by-step explanation:
4.5 hours = 270 minutes
Answer:
B
270 minutes= 4.5 hours
