what is the equation of the following graph in vertex form?
Answer:
y = (x + 1)²
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 1, 0) , then
y = a(x + 1)² + 0
To find a substitute (0, 1), the y- intercept into the equation
1 = a(0 + 1)² = a
y = (x + 1)²
if you give me the correct answer then I will mark as brainliest
It's is b cause it is and yeah
Answer:
a
Step-by-step explanation:
What is the maximum value of the objective function, P, with the given constraints? P=25x+45y 4x+y≤16 x+y≤10 x≥0 y≥0
Answer:
the maximum is 450 and the minimum is 0.
Step-by-step explanation:
We know that:
P(x, y) = 25*x + 45*y
First, is easy to see that as x and y increase, also does the value of P(x, y)
So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.
We know that:
4x+y ≤ 16
x + y ≤10
x≥0
y≥0
Let's start with the second inequality, let's solve this for y:
y ≤ 10 - x
and from the first one we get:
y ≤ 16 - 4*x
Just to show that maximizing x does not work, let's do it:
from the second one, knowing that the minimum value of y is y = 0
we have that:
0 ≤ 16 - 4*x
Here the maximum value that y can take is x = 1
0 ≤ 16 - 4*1 = 0
So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)
in this case we get:
P(1, 0) = 25*1 + 47*0 = 25
let's write again our inequalities:
y ≤ 10 - x
y ≤ 16 - 4*x
If now we take the minimum value of x, x = 0, we get:
y ≤ 10
y ≤ 16
Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10
in this case we get:
P(0, 10) = 25*0 + 45*10 = 450
As expected, here is the actual maximum for the given restrictions.
For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:
x≥0
y≥0
The smallest values are:
x = 0
y = 0
Replacing that in the equation we get:
P(0, 0) = 25*0 + 47*0 = 0
So the maximum is 450 and the minimum is 0. (with the given restrictions)
Find the length of "b" to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)
(15)^2 - (10)^2 = (b) ^2
b^2=225-100
b^2=125
b=root (125)
b=11.18
b=11.2
Complete the table of values:
Formula given: [tex]y=x^{2} -x-6[/tex]
x -3 -2 -1 0 1 2 3
y 6 0 -4 -6 -4 -4 0
when x = -2
[tex]=(-2)^{2} -(-2)-6[/tex]
[tex]=0[/tex]
when x = -1
[tex]=(-1)^{2} -(-1)-6[/tex]
[tex]=-4[/tex]
when x = 1
[tex]=(1)^{2} -(1)-6[/tex]
[tex]=-6[/tex]
when x = 2
[tex]=(2)^{2} -(2)-6[/tex]
[tex]=-4[/tex]
when x = 3
[tex]=(3)^{2} -(3)-6[/tex]
[tex]=0[/tex]
Answer:
-3 -2 -1 0 1 2 3
6 0 -4 -6 -6 -4 0
Step-by-step explanation:
One is given the following function;
[tex]y=x^2-x-6[/tex]
The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.
[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]
[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]
[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]
[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]
[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]
(x+4)+(x-3)+(2x+2)+(x^2+3x+1)
Answer:
X^2+7x+4
Step-by-step explanation:
a man spends ⅕ of his salary on shoes and ⅔ on school fees. what is the fraction of his salary left. pls help asap
Answer:
2/15
Step-by-step explanation:
1/5 + 2/3
= 3/15 + 10/15
= 13/15
15/15 - 13/15
= 2/15
what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)
8p²-18p² need help from brainliest
Answer:
- 10p2
Step-by-step explanation:
p(8p - 18 p)
p x -10p
ans = -10p2
Answer: -10p²
This is the same as saying -10p^2
============================================
Explanation:
Both terms 8p² and -18p² are like terms.
We combine them in much the same way as 8-18 = -10, just with a p² attached to everything.
So 8p² - 18p² = (8-18)p² = -10p²
The coefficient -10 is negative because we're subtracting small minus big. If it was the other way around, then we'd get a positive value.
Which decimal is equivalent to 4/3
Answer:
1.33333333333 repeating
Step-by-step explanation:
Hope this helps
Answer:
1.3333
Step-by-step explanation:
what is the value of x in a circle
Answer:
30°
Step-by-step explanation:
x = 180° -60°-90° = 30°
PR and SU are parallel lines.
Which angles are alternate interior angles?
Answer:
Alternate interior angles are on opposite sides of the transversal, and between the parallel lines
Step-by-step explanation:
Find the missing angle measure
Answer:
65.5
Step-by-step explanation:
It costs a homeowner $4.00 to rent a set of hand tools, plus an additional
$2.00 per hour for the rental. The function that models the cost, c, of renting
tools for h hours is c = 2h + 4.
On a piece of paper, graph the function. Then determine which answer choice
matches the graph you drew.
Answer:
The correct graph answer is A.
Step-by-step explanation:
Let
c ----> the total cost to rent a set of hand tools
h ----> the number of hours for the rental
we know that
The linear equation that represent the problem is equal to
---> this is the equation of the line into slope intercept form
where
the slope m is equal to
m=$2 per hour
b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)
therefore
The correct graph is A.
B. C. and D. are incorrect
WILL GIVE BRAINLIEST IF CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
Slope = 3/4
y = mx + b
y = 3/4x + b
0 = 3/4 (6) + b
0 = 18/4 + b
-9/2 = b
y = 3/4 x - 9/2
how do I solve this?
Answer: I cant see the problem
Step-by-step explanation:
Answer:
Where is the question?
Step-by-step explanation:
Eliza says, “Every member of the population is equally likely to be selected for the sample”. Which type of sample is Eliza describing?
a
a random sample
b
a biased sample
c
a stratified sample
d
a quota sample
Answer: A. A random sample
Step-by-step explanation:
Since everyone is equally as likely yo be selected for this sample, is has to be random because there won't be any interference to the probability of your chances of being selected in the population
I hope this helps!
What is m angle A? Enter your answer in the box.
Answer:
ANSWER: 22
Step-by-step explanation:
hope it helps thankks
Answer:
I agree with the person above
I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?
Answer:
Copper = x= 36.19
Step-by-step explanation:
The number of copper is unknown
Gold = 1/3
Silver = 1/5
Bronze =2/7
Copper = x
Total coins = 200
Gold = 1/3 of 200
= 1/3 × 200
= 200/3
= 66.67
Silver = 1/5 × 200
= 200/5
= 40
Bronze = 2/7 × 200
= 400/7
= 57.14
Total = gold + silver + bronze + copper
200 = 66.67 + 40 + 57.14 + x
200 = 163.81 + x
200 - 163.81 = x
x = 36.19
Copper = x= 36.19
By writing each number correct to 1 significant figure, estimate the value of
37.8 x 13.2
28,5 + 22.1
You must show all your working.
Answer:
37.8 x 13.2 =4988.6
28,5 + 22.1 = 50.6
what is the 1QR 14,11,8,1,23,20,17,5,19,10,12,22
Answer:
Step 1: Put the numbers in order.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 2: Find the median.
1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27.
Step 3: Place parentheses around the numbers above and below the median.
Not necessary statistically, but it makes Q1 and Q3 easier to spot.
(1, 2, 5, 6, 7), 9, (12, 15, 18, 19, 27).
Step 4: Find Q1 and Q3
Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data.
(1, 2, 5, 6, 7), 9, ( 12, 15, 18, 19, 27). Q1 = 5 and Q3 = 18.
Step 5: Subtract Q1 from Q3 to find the interquartile range.
18 – 5 = 13.
Step-by-step explanation:
PLEASE HELP ME!!! WHOEVER HELPS ME AND GETS IT RIGHT WILL GET BRAINIEST!!!
Answer: it would be D
Step-by-step explanation: because the x intercept is zero and the equation solved is 6
The plastic straws were placed under the wooden block to
Answer:
What? Your not even done.
Step-by-step explanation:
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
( Answer Honestly Please )
B. Translate the following English phrases to mathematical statements:
6. 3 times a number (x) is greater than 10
7. A number (x) added by 4 is less than or equal to 7
8. 6 is less than a number (x) divided by 6
9. The ratio of 10 and a number (x) is greater than or equal to 5
10.The sum of x and 7 is less than 4
Answer:
See below.
Step-by-step explanation:
6. 3 times a number (x) is greater than 10
3x > 10
7. A number (x) added by 4 is less than or equal to 7
x+4[tex]\leq[/tex]7
8. 6 is less than a number (x) divided by 6
6 < x/6
9. The ratio of 10 and a number (x) is greater than or equal to 5
(10/x) [tex]\geq[/tex] 5
10.The sum of x and 7 is less than 4
x + 7 < 4
14: A popular retailer offered 20% off their store for the entire weekend. Which of the following is the fraction equivalent of 20%?
Answer:
1/5
Step-by-step explanation:
20/100 or 1/5
The base of an open rectangular box is of length (2x + 5) cm and width x cm.
The area of this base is 58 cm
The height of the open box is (x - 2) cm.
a) Show that 2x + 5x -58 = 0
) Solve the equation 2x + 5x -58 = 0, giving your answers correct
to 2 decimal places
D) Hence calculate the volume of the box, stating the units of your answer.
Answer:
a) x = 8.29 cm
D) V = 1125.27 cm³
Step-by-step explanation:
a) We can solve the equation as follows:
[tex] 2x + 5x - 58 = 0 [/tex]
[tex] 2x + 5x = 58 [/tex]
[tex] x = \frac{58}{7} = 8.29 [/tex]
D) The volume of the box is given by:
[tex] V = l*w*h [/tex]
Where:
l: is the length
w: is the width
h: is the height
The length of the rectangular box is:
[tex] l = (2x + 5) cm = (2*8.29 + 5) cm = 21.58 cm [/tex]
The width is x = 8.29 cm.
And the height is:
[tex] h = (x - 2) cm = (8.29 - 2) cm = 6.29 cm [/tex]
Hence, the volume is:
[tex] V = l*w*h = (21.58*8.29*6.29) cm^{3} = 1125.27 cm^{3} [/tex]
I hope it helps you!
If the area is 30cm and the length is 13,23 cm., what will be the width in
cm?
Answer:
ok so the standard equation for finding the area of a equation is BH=A
so if the lenth is 1323 and the width is unknown other wise X
we can make an equation
1323X=30
so we divide 30 by 1323 which is
X=0.02267573696 so
The width is about 0.023 cm
Your Welcome
BIFFY OUT!!!
Evaluate e^4 to one decimal place
Answer:
The answer is going to be the general form for e^x = 1 + x/(1!) + + x^2/(2!) + x^3/(3!) +.....,. till infinity so : e^4 = 1 + 4/1 + 16/ 2 + 64/6 + 256/24 + 1024/ 120 + 4096/720 + 16384/5040 +...till the fraction is<0.1 = 54.6
-y-22-13
6< X/2-2
I need help solving both
Answer: The first one is y≤11 and the second question is x>16 Hope that helps Goodbye!
Step-by-step explanation: 1. Add 22 to both sides.
-13+2
−y≥−13+2
2 Simplify -13+2−13+2 to -11−11.
-y\ge -11
−y≥−11
3 Multiply both sides by -1−1.
y\le 11
y≤11
1 Add 22 to both sides.
6+2<\frac{x}{2}
6+2<
2
x
2 Simplify 6+26+2 to 88.
8<\frac{x}{2}
8<
2
x
3 Multiply both sides by 22.
8\times 2<x
8×2<x
4 Simplify 8\times 28×2 to 1616.
16<x
16<x
5 Switch sides.
x>16
x>16
