Answer:
Step-by-step explanation:
f(x) = ax² + bx + c
"x" coordinate of vertex is ( - [tex]\frac{b}{2a}[/tex] )
axis of symmetry is x = - [tex]\frac{b}{2a}[/tex]
If a > 0 the function opens upward and has minimum value.
If a < 0 the function opens downward and has maximum value.
f(x) = - x² - 6x - 4
(a). x = - [tex]\frac{-6}{-2}[/tex] = - 3 ; y = - (- 3)² - 6( - 3) - 4 = 5
Coordinates of vertex are (- 3, 5)
(b). The axis of symmetry is x = - 3
(c). The given function opens downward
y = 5 is a maximum of a given function.
There are 4 boys and 2 girls from the seventh grade and 3 boys and 5 girls from the eighth grade in the math club. The math club sponsor will randomly pick one student from each grade level to represent the team.
What is the probability that both will be girls?
Answer:
5/24 or 20.8%
Step-by-step explanation:
Probability that the 7th grader is a boy = number of boys/(total kids) = 4/(4+4) = 1/2
Probability that the 8th grader is a boy = 5/(5+7) = 5/12
Probability that both are boys = 1/2*(5/12) = 5/24 or 20.8%
As the x values increase, the y values decrease
Answer:
1. That means as the X value decreases the y value increase
2. That means it's a negative Line.
3. The slope is negative
Step-by-step explanation:
Jay wants to buy a book for $8.00. The sales tax is 6%. How much will Jay pay for the book including tax?
Answer: $8.48
Step-by-step explanation: 8x.06 = .48 +8 = $8.48
3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation.
s +10 = 25.
There is a bag containing 25 chocolates 10 of them are white, how many chocolates are dark chocolates?
if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
Which ones are functions?
Answer:
6,8
Step-by-step explanation:
Raise to the power:
[tex](-3y)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 3y})^{4} = ({ - 3})^{4} \times ( {y})^{4} = [/tex]
[tex]81 \times {y}^{4} = 81 {y}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is the least common multiple of 6 and 8?
Answer:
2
Step-by-step explanation:
10 x what equals 66??
Answer:
6.6
Step-by-step explanation:
10x(x)=66
x=66/10
x=6.6
I WILL MARK AS BRAINLIEST!!!!
Answer:
1. 795, 23
2. 50, she will finish her candy on November 21 so she won't be able to share with her cousins
3. $276, 71 cars
Step-by-step explanation:
1. your equation: y = 35x + 235
plug in 16 to find how many pictures she will have on may 16: y = 35(16) + 235
you get y = 795
for the second part, you know are trying to find how long it will take to get to 1024 pictures, so you know your y, but you don't know your x
your equation: 1024 = 35x + 235
solve to get x = 22.54
this rounds up to 23, so your answer is 23
2. multiply 8 times 4 to get 32
subtract 32 from 82 to fin how many she has left
you get 50
for the second part, divide 82 by 4 to find how many day it will take to finish her candy
you get 20.5
so no, she will not have candy to share with her cousins, and she will finish her candy on November 21
3. for this, you have a negative y intercept since you need to make $24 to start profiting
your equation: y = 6x - 24
plug in 50 to x: y = 6(50) - 24
you get y = 276
so you make $276 with 50 cars
for the second part, plug in 400 to y: 400 = 6x - 24
solve to get x = 70.66
this rounds up to 71, so your answer is 71
The table shows the number of votes for the new school mascot. What percent of the students voted for Polar Bears?
Mascot Number of Students
Polar Bears 6
Tigers 14
Vikings 19
Eagles 11
Katie solved the problem. Her work is shown below. Is her answer correct? If not, explain the error and give the correct answer.
Answer:
shes so wrong
Step-by-step explanation:
6+14=20+19=39+11=50
100/50=2
6x2=12
12%
help plzzzzzz it should be easy
Answer:
uh
Step-by-step explanation:
l
Answer
1.< 2.>
Step-by-step explanation:
1. 9x4/5= 7.2<9
2. 4x6/5= 4.8>4
What is the answer to this question because I can’t understand it
Answer:
you have to add both x and y values together. the x and y values came out as (-3,2). hope this helped!
Answer:
(x-11,y-12)
Step-by-step explanation:
Factoring trinomials
Select two for each
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factors.
1.) x^2+4x+3= (x+1) (x+3)
2.) x^2-2x-99 = (x+3) (x-11)
Does f(-x) = - f(x)? Why?
Answer:
No
Step-by-step explanation:
-x is only in the parenthesis not outside. Whatever your number is, let's say 2 would be x, you input 2 as x in which you get f(-2)
hope this helps :)
if a plot of land contains a rectangular array of 102 strawberries plants, how many rows are in the array if there are 34 plants in each row?
(0, -19), (20, 15)
I am having trouble
Answer:
-38285
Step-by-step explanation:
this is what my calculator told me
sorry but ask someone else
I don´t know what slopes are
so sorry
Q3) f(x) 2x^2 - 5x, g(x) = 3x^3 find g(4x)
Answer:
g(4x) = 192x^3
Step-by-step explanation:
For this problem, f(x) is irrelevant since we are simply are dealing with g(x). We will simply replace the value of x in g(x) with 4x. So let's do that.
g(x) = 3x^3
g(4x) = 3(4x)^3
g(4x) = 3(4^3)(x^3)
g(4x) = 3(64)(x^3)
g(4x) = 192x^3
Hence, g(4x) is 192x^3.
Cheers.
What is the correct answer for both ?
Answer:
19. Option A
20. Option B
Step-by-step explanation:
What is the solution to the equation 5x−2=2x+13
Answer:
X=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
5x-2=2x+13
-2x -2x
3x-2=13
+2 +2
3x=15
divide 15 by 3.
Write the equation in Standard Form.
72 = 2 – 4y
Answer:
seventy-two equals two minus four times
Step-by-step explanation:
Answer:
72x+4y=2
Step-by-step explanation:
Plz Help ASAP!!
What is the y-intercept of the line that contains the point (3, –2) and is perpendicular to the line y = – 2/5 x + 3/5?
Two cities on a map are 6.5 cm apart. The cities are actually 325 km apart. What scale was used to draw the map?
Answer:
A scale of fivce hundred should be the correct answer
Step-by-step explanation:
Answer:
1cm=50km
Step-by-step explanation:
325 divided by 6.5 is 50, so 1 centimeter equals 50 kilometers on the map scale.
2u - 6u =
( worth 10 points)
Factorise x cube -2x square -5x plus 6
Answer: {(x + 2), (x - 1), (x - 3)}
Step-by-step explanation:
Presented symbolically, we have:
x^3 - 2x^2 - 5x + 6
Synthetic division is very useful for determining roots of polynomials. Once we have roots, we can easily write the corresponding factors.
Write out possible factors of 6: {±1, ±2, ±3, ±6}
Let's determine whether or not -2 is a root. Set up synthetic division as follows:
-2 / 1 -2 -5 6
-2 8 -6
-----------------------
1 -4 3 0
since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial. The coefficients of the product of the remaining two factors are {1, -4, 3}. This trinomial factors easily into {(x -1), (x - 3)}.
Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}
Kelsey is a stock broker. She earns 11% commission each week.Last week she sold $7200 worth of stocks. How much did she make last week in commission? if she averages the same amount each week how much did she make in commission in 2011?
Answer:
$792 last week's commission.
$41,184 for 2011
Step-by-step explanation:
11% of 7200 is = $792
$792 times 52 weeks in a year is $41,184
the sides of a triangle are 3 whole 1 by 6 cm 4 whole 2 by 3 cm and 5 whole 2 by 3 cm. Find the total length of the three sides of the triangle
Answer:
[tex]16\frac{2}{3}[/tex]cm
Step-by-step explanation:
Given dimensions:
[tex]3\frac{1}{6}[/tex] cm by [tex]4\frac{2}{3}[/tex]cm by [tex]5\frac{2}{3}[/tex] cm
The total length:
it is the sum of all the sides;
[tex]\frac{19}{6} + \frac{14}{3} + \frac{17}{3}[/tex]
LCM of the denominators = 6 ;
[tex]\frac{38 + 28 + 34}{6}[/tex] = [tex]\frac{100}{6}[/tex]
= [tex]\frac{50}{3}[/tex]
= [tex]16\frac{2}{3}[/tex]cm
You need to score 80% on the final exam to maintain an “A” average in class. If the exam has 250 questions, how many questions must you answer correctly?
A. 20
B. 160
C. 200
D. 240
Answer:
200
Step-by-step explanation:
100/250= 0.4
0.4* 200= 80
What is the value of the expression 2.8*10^7/1.4*10^3
WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.
While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.
Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.