Answer:
Max value: 9
Max x value: -2
Step-by-step explanation:
We're trying to find the vertex of y = 5 - 4x - x²
We can try to convert this equation to vertex form
First, subtract 5 from both sides
y = 5 - 4x - x²
- 5 -5
y - 5 = -4x - x²
Then add -4 to both sides (this is because this the sqaure of half b -4)
y - 5 - 4 = -4x - x²+ 4
y - 9 = -4 - 4x - x²
Factor the right side of the equation
y - 9 = -(x + 2)(x + 2)
y - 9 = -(x + 2)²
Add 9 to both sides
y - 9 = -(x + 2)²
+ 9 + 9
y = -(x + 2)² + 9
To find the max values we have to make it to where x + 2 = 0
x + 2 = 0
- 2 - 2
x = - 2
When we make equation inside the parenthesis 0, we get y = 9
y = -(-2 + 2)² + 9
y = -(0)2 + 9
y = 9
Help pleaseeee ? Aghhhh ):
Answer:
Step-by-step explanation:
The best I can do is set up the problem :3
9x(x+2) +6(x+2)
It said something Like there was inappropriate stuff in my answer so heres a picture darling :3
sorry I couldn’t explain fully but hope this helps :3
Answer asap
thank you
Answer:
read your book
Step-by-step its easy
PLEASE HELP IM SWAMPED
the first is and answer and so is the 2
plssss help me i'll give u 40 points evaluate: 3/5^-2
Answer:
75
Step-by-step explanation:
5^-2 = 5*5 = 25/1
because it's (-) you need to flip it so 1/25
3/1 ÷ 1/25 = 3/1 × 25/1
because when you divide fraction you need to keep the first fraction as it is and change the symbol from (÷) to (×) and flip the second fraction. (KCF simple way to memorise it)
So 3/1 × 25/1 = 75/1
75/1 is same as 75
Pls help this is due rn!
Which phrase represents this expression?
5 + 4 ÷ 2
the sum of 5 and 4 is divided by 2
the product of 5 and 4 is divided by 2
the sum of 5 and the quotient of 4 and 2
the product of 5 and the quotient of 4 and 2
The required answer would be the sum of 5, and 4 is divided by 2 as per the PEMDAS rule which is the correct answer would be option (A)
What is the PEMDAS rule?PEMDAS rule states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.
We have been given that expression as
⇒ 5 + 4 ÷ 2
As per the PEMDAS rule,
We have to apply the division operation to terms 4 and 2,
⇒ 5 + 4 /2
⇒ 5 + 2
Apply the addition operation, and we get
⇒ 7
Therefore, the required answer would be the sum of 5, and 4 is divided by 2.
Learn more about the PEMDAS rule here :
https://brainly.com/question/20876480
#SPJ2
Six cans of sprite cost $3 How much do 15 cans cost?
Find the length in the kite labeled x
12 in.
9 in.
13 in
Answer:
15 in
Step-by-step explanation:
You have to use pythagoras' theorem, which is a^2=b^2+c^2 (a being the hypotenuse), because it is a right-angled triangle.
so you do 9^2+12^2, which equals 225. Then you square root that to get 15.
Can anyone help me with this question please ? I’ll mark as brainliest
Answer: A
Step-by-step explanation:
If you plug in the numbers from the x column into the equation in the place of x, you can figure out the answer.
Example: -10x - 15
-10(1) - 15 = -25
-10(2) - 15 = -35 and so on...
You're Welcome! :)
ITS URGENT PLEASE!!!! which lines or segments are parallel? justify your answer
Just question 4 and 6
Answer:
The ones you circled are right I believe its just small errors in your notations. I am not sure if the justifications are correct or not.
4 might just be a labelling of the line error. Say line AD is parallel to line BE and line AC is parallel to BD
6 all the lines you circled are all parallel to each other, not two separate pairs
Solve for x in the given equation 1/4x = 3/4
Answer: x= 1/3 or 0.333333333...
Step-by-step explanation:
Which of the following is equivalent to (x+4) (6x2 + 2x)?
A. (x+4)(2x)• (x+4) 6X)
B. (x + 4)(2x) + (x + 4)(3x)
C. (x+4)3x?) • (x+4)(2x)
D. (x+4) 6x2)+(x + 4)(2x)
Answer:
D. (x+4) (6x^2) + (x + 4)(2x)
Step-by-step explanation:
x + 4 is multiplied by each term inside the second parenthesis
D. (x+4) (6x^2) + (x + 4)(2x)
(x-3)^3+3-x giup tôi với
Answer:3 tháng 8 lúc 13:04. Tìm x. a) (4x-1)²-(4x-5)(4x+5)=3. b) (x+2)³-(x³+8)=0. Đọc tiếp... Toán lớp 8. 1. んuﾘ ｲ ( ✎﹏IDΣΛ亗 ) CTV. 3 tháng 8 lúc 16:17.
Step-by-step explanation:
What percent of the rectangle is shaded?
How do I calculate the radius of a circle inscribed in a square?
Answer:
The radius is half one of the sides.
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
The last one
Step-by-step explanation:
Hope this helps if possible pls brainliest
Answer:
A
Step-by-step explanation:
is the answer
a
Choose the
equation of the
graphed
function.
С.
e.
6
a. y = |x- 3
–
b. y = |x - 31
y = |x] + 7
d. y = (x – 71
|
y = |x| +3
C.
y = (x + 3]
g y = |x|– 6
h. y = (x + 61
1.
y = |x| + 6
j. y = (x - 11
12 - ( 3r + 2 ) = - 7 ( r + 6 )
Answer:
r = -13
Step-by-step explanation:
Step 1: distribute the signs & terms outside the parenthesis. on the left side, distribute a - sign (same thing as -1) and on the right side distibute -7
12 - (3r) - (+2) = (-7)r + (-7)6
Step 2: algebraically simplify
10 - 3r = -7r - 42
52 = -4r
r = -13
what is the equation in slope-intercept form? (1,2) (4,8)
y= mx+b
m= slope
b= y-intercept
m= y2 -y1 / x2-x1
x1=1
x2=4
y1= 2
y2=8
m=8-2/ 4-1
m=6/3
m=2
The population of a once very popular city of 250,000 people has been decreasing by 3.5% each year. Write an exponential decay function that represents the population after t years
An exponential decay function that represents the population after t years is [tex]\rm f (x) = 250000 (0.965)^t[/tex].
What is an Exponential Function?An exponential function can be represented in the form f(x) = aˣ.
The population of a city was 250,000
Rate of decay is 3.5%
100 -3.5 = 96.5%
The population after t years is represented by the function
[tex]\rm f (x) = 250000 (0.965)^t[/tex]
To know more about Exponential Function
https://brainly.com/question/11487261
#SPJ2
What is a correct congruence statement for the triangles shown?
Answer:
I think the answer is ∆ BLG~=∆PFX.
Step-by-step explanation:
Please help me please with number 1 part a and b.
Answer:
a) 39^2 = x^2 + 15^2
39^2 - 15^2 = x^2
root (39^2 - 15^2) = x
x times 2 is your answer.
b) (120 x 68) / 2 = 4080
Given sec A = √85/6 write the value of cot a in the simplest fraction form
A.6/7
B.7/6
C.√85/7
D.7/√85
[tex]\\ \sf\longmapsto sec^2A-1=tan^2A[/tex]
[tex]\\ \sf\longmapsto tan^2A=\dfrac{(√85)^2}{6^2}-1[/tex]
[tex]\\ \sf\longmapsto tan^2A=\dfrac{85}{36}-1[/tex]
[tex]\\ \sf\longmapsto tan^2A=\dfrac{85-36}{36}[/tex]
[tex]\\ \sf\longmapsto tan^2A=\dfrac{49}{36}[/tex]
[tex]\\ \sf\longmapsto tanA=\dfrac{7}{6}[/tex]
Now
[tex]\\ \sf\longmapsto cotA=\dfrac{1}{tanA}=\dfrac{6}{7}[/tex]
P(A) = 0.40
P(B) = 0.50
P(A and B) = 0.10
What is P(BIA)?
A. 0.25
B. 0.10
C. 0.50
O D. 0.20
The value of P(B|A) is 0.25.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have P(A) = 0.40 and P(B) = 0.5
and, P(A and B) = 0.10
Using Conditional Probability
P(B|A) = P(A ∩ B)/P(A)
Substitute the values of P(A), P(B) and P(A ∩ B),
P(B|A) = 0.10/ 0.40
P(B|A) = 0.25
Learn more about Probability here:
https://brainly.com/question/12629996
#SPJ7
Please help I’ve been stuck on this for a while!
Todd purchased a jumper for his infant son. The jumper clamps to the top of a door frame and has a spring from
which the body of the jumper hangs to allow the infant to jump up and down. Included with the jumper are small
weights, each identical in
weight and size. The weights allow the user to adjust the initial height of the jumper by
stretching the spring a certain distance. Todd adds 8 of the weights and notes the spring stretches 2 centimeters.
a. According to Hook's Law, the amount that a spring is stretched, s, varies directly with the force applied to the
spring by the weights, F. Write an equation that relates F and s for the spring on the jumper
b. Using your equation from part a, find the stretch in the spring if Todd applies 14 of the included weights to the
spring
c. Using your equation from part
Hooke's law relates the force applied on an elastic material to its extension. Therefore, the answers to the questions are:
a. F = ks
b. The spring stretched 0.035 m (3.5 cm) when a weight of 14 N is included.
Hooke's law states that provided the extension limit of an elastic material is not exceeded, the force applied is directly proportional to its extension.
i.e F = ke
where F is the force applied to the material, k is the spring constant of the material, and e is the extension.
Considering the conditions in the given question then, we have:
a. The equation that relates F and S for the spring on the jumper is:
F = ks
b. Given that: F = 8 N, while s = 2 cm (0.02 m).
Then;
F = ks
8 = k(0.02)
k = [tex]\frac{8.0}{0.02}[/tex]
= 400
k = 400 N/m
So that, the stretch in the spring when 14 N weight is included is:
F = ks
14 = 400 x s
s = [tex]\frac{14}{400}[/tex]
= 0.035
s = 0.035 m
Thus the spring was stretched by 0.035 m (3.5 cm) when a weight of 14 N was included.
Visit: https://brainly.com/question/20995298
ANGLE RELATIONSHIPS WITH PARALLEL LINES:
Below are two parallel lines with a third line intersecting them.
Answer:
132
Step-by-step explanation:
solve pls brainliest
Answer72 and 20
I think I’m not certain
Answer:
A. 6
B. 900
Step-by-step explanation:
36 ÷ 6 = 6
10 · 90 = 900
Hope this helps!!!
320−{24÷3×[8÷2−(8−6)]}
Answer:
I'm not sure if this is correct but I got the answer, 316.
Step-by-step explanation:
I used the process PEMDAS
320-{24÷3×[8÷2−(8−6)]}
320-{24÷3×[8÷2−2]}
320-{24÷3×[4−2]}
320-{24÷3×2}
320-{24÷6}
320-4
= 316
Translate the sentence into an equation.
The sum of 9 times a number and 8 is equal to 7.
Use the variable x for the unknown number.
Answer: 9(x+8)=7
The sum is the solution when you add two (or more) numbers together.
:)
m<3=(7x-10) and m<6=(5x+10)
Step-by-step explanation:
m∠3 = 7x - 10
m∠6 = 5x + 10
m∠3 = m∠6
7x - 10 = 5x + 10
7x - 5x = 10 + 10
2x = 20
x = 20/2 = 10°
Hello! I have a project where I invite 5 people to a “dinner party” to school. I want to invite a girl named Jaci Butler. Jaci Butler is her own agent in the singing industry. I found her address and want to send her a mail inviting her to the party. The party is at school. Does this count as stalking? If you were Jaci butler, what would you think I’m a stalker? If you were her, would you come?
REMEMBER: IM NOT INVITING HER TO MY HOUSE. IM INVITING HER TO MY SCHOOL
Answer:
no not at all it's just being helpful and kind and I would come
