The most helpful form to find the coordinates of the minimum is the vertex form.
Which form is better to find the minimum?Remember that for a quadratic equation with a positive leading coefficient, the minimum is at the vertex.
So the better form to determinate the coordinates of the minimum value will be the vertex form, where if the vertex is (h, k), we get:
y = a*(x - h)^2 + k
In this case, the first option is in that form:
y = (x + 1)^2 - 25
so:
h = -1
k = -25
This means that the coordinates of the minimum are (-1, -25)
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
What is the value of a?
Answer:
97
Step-by-step explanation:
(a - 48) + a = a + 49
2a - 48 = a + 49
a = 97
We can do this because the angles of a triangle all add up to 180 and 2 angles of a line add up to 180.
Help please I will give brainliest fast please 15 points
Answer: 40/11 hours
Step-by-step explanation:
Since y represents the amount of time the car goes at 35 miles per hour, and it is given that the car spends no time at 35 miles per hour, y = 0.
We can plug y into the equation given to find x, which would be the time travelled at 55 miles per hour, or the total time in this case.
55x + 35*0 = 200
55x = 200
x = 200/55
x = 40/11 hours
I NEED THE ANSWER PLEASE I DONT UNDERSTAND I JUST NEED THE ANSWER FOR 23,21,18
Step-by-step explanation:
follow the picture uploaded. everythinh has been solves systematically
A student has an average score of 90 on four tests. If the student scored 88, 96 and 92 on the first three tests. What was the students score on the fourth tests
Answer:
84
Step-by-step explanation:
(92 + 96 + 88 + x) ÷ 4 = 90
92 + 96 + 88 + x/4 = 90
276 + x/4 = 90
(276 + x) × 4/4 = 90 × 4
276 + x = 360
x = 360 - 276
x = 84
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
Give three pros and cons of getting a pug, and the same for a poodle.
Answer:
Step-by-step explanation:
pugs;
pros= Pugs are small in size and thus, making them suitable for small-sized rooms or apartments. Pugs have a friendly and lapdog temperament, get along well with most people and pets. Pugs are low to medium-shed breeds, which implies you are less likely going to be troubled with shedding.
cons= Pugs are prone to various throats, ears, eyes, folds, facial infections, and breathing troubles; hence they will require regular health check-ups. Pug dogs are not highly trainable – it will be difficult to train a pug to do not-so-easy activities even if you hire a professional.
poodle;
pros=They don't shed. Poodles have long hair, instead of fur so they do not shed. ...
They're easy to train. The poodle's intelligence and eagerness to please make them easy to train. ...
They're good with children or other dogs. ...
They make great service dogs or therapy dogs.
cons= Their hair requires some serious maintenance. Because poodles can grow their hair long, they require a lot more maintenance than breeds with short, flat coats. ...
They require a lot of mental stimulation. ...
They can be emotionally sensitive.
Answer: brainliest please!
Pros of a Pug
! Pugs are small in size and thus, making adaptable small-sized rooms or apartments.
! Pugs have a friendly temperament and get along well with other people/pets.
! Pugs are low to medium-shed breeds which mean you are less likely going to be troubled with shedding.
! Can take simple commands without hiring a professional trainer/ train on your own
Cons of a Pug
! Gains weight easily and lack of daily exercises like a walk or run can easily have them gain weight and affect their health.
! Pug dogs are not highly trainable ~ can do simple tricks like:
sit, stand, run, fetch but not complicated ones
! Health risks ~ Pugs are prone to throat, ears, eyes, facial infections, and breathing troubles :; hence they will require regular health check-ups.
````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
Pros of Poodle
! They don’t shed. Poodles have long hair, instead of fur so they do not shed.
! super easy to train compared to pugs and easily learn hard tricks and so.
! They're good with children or other dogs
! They make great service dogs or therapy dogs
Cons of Poodle
! Their hair requires some serious maintenance
! They can be emotionally sensitive
! IMPORTANT - They require a lot of mental stimulation
These pups have trained to live a luxurious lifestyle they’re rarely content to live as lap dogs. They will use their intelligence for less desired behaviors like digging, chewing, or excessive barking. If your lifestyle doesn’t allow you to provide ample mental stimulation for your dog, it might be worth considering another breed.
There are 140 boys and 120 girls in a school. find the ratio of
i, boys to girls
ii, boys to the total number of students
iii, girls to the total number of students
i want process with answer
giving answer with process
making him/heras a brainlists
Answer:
i. 7:6
ii. 7:13
iii. 6:13
Step-by-step explanation:
boys to girls = 140:120 so we can simplify by 20 to get 7:6
boys to total = 140:(120+140) = 140:260 we can simplify again to get 7:13.
girls to total = 120:(120+140) = 120:260 we can also simplify to get 6:13
find the value of x If necessary, you may learn what the markings on a figure indicate.
Answer:
x=36°
Step-by-step explanation:
Find the answer with the theorems related to isosceles triangle and the exterior angle theorem
2x – 20 < -14 please help i have to find the inequality and graph the solution
Answer:
x < 3
Step-by-step explanation:
Step 1: Add 20 to both sides.
[tex]2x-20+20 < -14+20[/tex] [tex]2x < 6[/tex]Step 2: Divide both sides by 2.
[tex]2x/2 < 6/2[/tex] [tex]x < 3[/tex]Laura goes to a bank and opens a new account . She deposits $5,500. • The bank pays 1.6% interest compounded annually on this account • Laura makes no additional deposits or withdrawals. Which amount is the closest to the account balance at the end of 4 years? O A.$5,852.00
B. $5,860.53
C.$5,940.00
D.$5,954.31 $
Answer:
B
Step-by-step explanation:
formula= principal (1+(rate÷100))^number of years
5500(1+(1.6÷100))^4
5500 (1+0.016)^4
5500(1.016)^4
5500 (1.06555245)
5,860.53
$5,860.53
find all the zeros of the equation y=x^4+3x^3+x^2-12x-20
Answer:
x = 2, -2
explanation:
[tex]\sf y=x^4+3x^3+x^2-12x-20[/tex]
Find a factor for this equation:
-5 < x < 5
-------------
f(-3) = 25
f(-2) = 0
f(-1) = -9
f(0) = -20
f(1) = -27
f(2) = 0
f(3) = 115
Hence found that ( x -2) and ( x + 2) are the factor of the following equation.
Divide both by the following equation:
[tex]\sf \rightarrow \dfrac{x^4+3x^3+x^2-12x-20}{\left(x-2\right)\left(x+2\right)}[/tex]
[tex]\sf \rightarrow \dfrac{\left(x-2\right)\left(x+2\right)\left(x^2+3x+5\right)}{\left(x-2\right)\left(x+2\right)}[/tex]
[tex]\sf \rightarrow x^2+3x+5[/tex]
Using quadratic formula: [tex]\sf x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ \ ax^2 + bx + c = 0[/tex]
[tex]\sf \hookrightarrow x_{1,\:2}=\dfrac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}[/tex]
[tex]\hookrightarrow x=-\dfrac{3}{2}+i\dfrac{\sqrt{11}}{2},\:x=-\dfrac{3}{2}-i\dfrac{\sqrt{11}}{2}[/tex]
Thus the zero's of the function are:
x = 2, -2
Answer:
[tex]x=2, x=-2[/tex]; [tex]\frac{-3\pm i\sqrt{11}}{2} \in \mathbb{C}[/tex]
Step-by-step explanation:
Zeroes are found by setting the RHS = 0.
Since the quantity [tex]x^4+3x^3+x^2-12x-20[/tex] is a 4th degree polynomial there isn't a formula that gives us the solution, so we're stuck having to divide: to do so we make THE LIST: you list the divisors of the constant term without its sign (20: 1,2,4,5,10,20), the divisor of the lead coefficient (1), and you divide the first by the second in any possible way, adding a plus or minus:
[tex]\pm1, \pm2, \pm4, \pm5,\pm10,\pm20[/tex]. At this point you just have to check, replacing each one in the equation until you find two values that work (why two? You need to lower the degree of the polynomial by two, if you found only one you'd be stuck with a third degree equation which doesn't have an "easy" solving formula).
After some adding and multiplying you find that both 2 and -2 make the expression to zero. At this point you have two options
First is to divide the given expression by[tex](x-2)(x-2)=(x^2-4)[/tex] or, as I did in the image, notice that you will end up with a 2nd degree polynomial, whose coefficient you find by multiplying and confronting with the original equation.
Either way, you will end up with
[tex](x+2)(x-2)(x^2+3x+5)=0[/tex]
First two factors will give [tex]x=-2; x=2[/tex] respectively, while the third term has no real solutions (it still offers a pair of solutions in [tex]\mathbb{C}[/tex] which I'll add for the sake of completeness, but you're most likely required to look for real solutions only).
HELPPPPPP :((( i am marking brainliest!
I need help asap!!!!!!!
Answer:
Step-by-step explanation:
Draw a number line to represent the inequality
y < 3
Answer:
< means y is smaller than 3, it's not equal, so it's open dots.
(number line see the attach image.)
Hurry please!
What is the slope of a line perpendicular to the line whose equation is x – 3y = 27.
Fully simplify your answer.
Answer:
So a line perpendicular to this equation would be any line with a slope of -3/4 (the negative reciprocal of the slope)
Step-by-step explanation:
First convert the original equation into y = form to find the slope.
Subtract 4x on both sides leaving -3y = -27 - 4x
This leaves y = (-27 - 4x)/(-3)
You can divide both -27 and -4x by -3 individually to get 9 and 4/3 respectively
This makes your equation y = 9 + (4/3)x
Whenever an equation is in y = mx + b form, the 'm' represents the slope. In this case the slope is 4/3.
The height of a golfball hit off a 128-foot hill is modeled by the function h(t) = −16t2 + 32t + 128, where h is height in feet and t is time in seconds. Find the time the golf ball takes to reach the ground.
The time taken for the golf ball to reach the ground is 1 s.
Motion of the golf ballThe path of motion of the golf ball can be described as parabolic because it is projectile.
When the golf ball reaches the ground, the final velocity will be zero.
Velocity of the golf ball is change in height with time.
v = dh/dt
h(t) = -16t² + 32t + 128
dh/dt = -32t + 32
0 = -32t + 32
32t = 32
t = 1 s
Thus, the time taken for the golf ball to reach the ground is 1 s.
Learn more about time of motion here: https://brainly.com/question/2364404
Answer:
6 seconds, the other dude is a dimwit
Step-by-step explanation:
can anyone help me please ?
1. Mike has four cards numbered one to four. He draws one card and records the number. Calculate the probability that the result will be:
A a multiple of three
B a multiple of two
C a factor of three
Answer:
A) [tex]\frac{1}{4}[/tex]
B)[tex]\frac{2}{4}[/tex]
C)[tex]\frac{2}{4}[/tex]
Step-by-step explanation
sample space (S) = {1,2,3,4}
n(S) = 4
multiples of three (a) = {3}
n(a) = 1
probability of a = [tex]\frac{n(a)}{n(S)}[/tex]
= [tex]\frac{1}{3}[/tex]
multiples of two(b) = {2,4}
n(b) = 2
probability of b = [tex]\frac{n(b)}{n(S)}[/tex]
= [tex]\frac{2}{4}[/tex]
factors of three(c) = {1,3}
n(c) = 2
probability of c = [tex]\frac{n(c)}{n(S)}[/tex]
= [tex]\frac{2}{4}[/tex]
What formula can we use to find the surface area of a rectangular prism? Question 4 options: SA = 2lw 2lh 2wh SA = 2lwh SA = πr2 SA = lw lh wh.
Check the picture below.
Mr. Salam bought a 2½-pound wheel of cheese. His family ate ¼ of the wheel. How much cheese did they eat?
Answer:
5/16 of a pound
Step-by-step explanation:
2½ x ¼ = 5/4 × 1/4 = 5/16
1. In ∆MNO, what is the included side of <M and <O?
2. In ∆ABC, what is the included angle of sides AB and AC?
Answers:
Segment MOAngle A====================================================
Explanation:
The included side between two angles is simply the segment with the endpoints mentioned. So we involve endpoints M and O to form segment MO. This is the same as saying segment OM. The order doesn't matter.The angle between two sides involves the shared letter. For sides AB and AC, that shared common letter is A. Therefore, angle A is the included angle between the sides. We can refer to it as angle BAC or angle CAB, but angle A should suffice as a name assuming there aren't any other letters as part of the diagram.what does b=. pls help
Answer:
Step-by-step explanation:
b=-13
pls help asap. i hate these questions
Answer:
5. 8
6. 5
7. 7
8. 6
9. 3
10. 4
Step-by-step explanation:
The unknown number is the the larger number divided by 10.
Like in #5 : 80 ÷ 10 = 8
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4y – 2x =
= -8
help, please ????? ???????????
Write the decimals and percents illustrated by the picture below
(can someone help me with this question? the pic is down below! i js need a decimal and percent) thanks
Answer:
Decimal: 0.16
Percent: 16%
Step-by-step explanation:
There is 16 blocks shaded out of 100 blocks.
16/100=
0.16
16%
Helpppp!!!!!! Pleaseeeee!!!!!!!!!
Answer:
56 meters
Step-by-step explanation:
5+5+5+11+7+16+7 = 56
Answer:
Should be 56 m
Step-by-step explanation:
5+7+16+7+11+5+5 = 56 m
math related xxxxxxxxxx
Answer:
x = 9
PQ = 19
QR = 19
RP = 10
Step-by-step explanation:
if 3x - 8 = 2x+1
then,
3x -2x = 1+8
x = 9
for pq,
2x+1
2x + 1 = 2*9+1
=>18 +1 = 19
for qr,
3x-8 = 3*9-8
=>27-8 =19
for rp,
x+1=9+1
=> 10
lan is going bowling. The shoe rental is $5.00 for
the evening. Each game costs $3.00. He only has
$20 in his pocket. How many games can he play?
Let y represent the number of games in this
inequality:
$5.00 + 3y <$20
Ay 25
BY
C.y = 5
D.y > 5
Answer:
choose the last answer D I did this quiz and i am foolproof it is correct
Step-by-step explanation:
Answer:
he can play 5 more games.
Step-by-step explanation:
he has $20 and he uses $5 for shoes so he has $15 left. each game costs $3 so 3x5 = 15
please help quickly!! will give branliest
Answer:
10
Step-by-step explanation:
hope this helped have a nice day
Ira can use the greatest common factor to rewrite 75+30 as
(5+
).
Answer:
Step-by-step explanation:
15(5+2) is the Answer
The greatest common factor to rewrite 75+30 as 15(5+2)
What is GCD?Greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
An expression is a combination of numbers, variables and operators.
The given expression is 75+30.
By using distributive law we can find this.
Let us find factors of 75 and 30.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 30 are 1, 3, 5, 9, 15, 45
Their GCF is 15.
To get 75, we will multiply 15 by 5.
To get 30, we will multiply 15 by 2.
By using distributive property
75+30 can be splitted to factors as
15(5+2)
Hence the greatest common factor to rewrite 75+30 as 15(5+2)
To learn more on GCD click:
https://brainly.com/question/27227228
#SPJ5