Answer: 3.32 * 10^4
Step-by-step explanation:
1) Set up the equation
4.00 * 10^4 - 6.8 * 10^3
2) Set the scientific notions the same
You can do this by multiplying 10 or dividing 10 on a notion
4.00 * 10^4 - 0.68 * 10 ^4
3) Factor the scientific notions out
10^4(4.00 - 0.68)
4) Subtract
10^4(3.32)
3.32 * 10^4
The ordered pair (a,b) satisfies the inequality y
A. If you subtract 6 from b, it will be less than or equal to a.
B. If you add 6 to a, it will be greater than b.
C. a is greater than b.
D. If you add 6 to a, it will be less than b.
The false statement about the statement is (a) If you subtract 6 from b, it will be less than or equal to a.
How to determine the true statement?From the question, the inequality is given as
y > x - 6
The ordered pair is given as
(a, b)
The above ordered pair implies that
(x, y) = (a, b)
So, we have
x = a and y = b
This means that
b > a - 6
Subtract 6 from both sides
b - 6 > a - 6 - 6
Evaluate
b - 6 > a - 12
Using the above as a guide, we cannot determine the direct relationship between variables a and b.
However, it is false that b is less than a
Hence, the false statement is (a)
Read more about inequalities at
https://brainly.com/question/25275758
#SPJ1
Complete question
The ordered pair (a,b) satisfies the inequality y > x - 6
Which statement is NOT true?
A. If you subtract 6 from b, it will be less than or equal to a.
B. If you add 6 to a, it will be greater than b.
C. a is greater than b.
D. If you add 6 to a, it will be less than b.
Rodney is flying on an airplane to puerto rico. his suitcase and the contents inside must weigh less than 50lbs. his suitcase weighs 4 pounds and the contents he wants to pack weigh 49 pounds. if each of his shirts weighs 0.75 pounds, write an inequality to represent the number of shirts he needs to remove to meet the flight requirements.
The inequality that represents, the number of shirts he needs to remove to meet the flight requirements is 0.75p + 50ibs ≤ 49
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
Let the weight of Rodney suitcase be p
First the contents inside must weigh less than 50lbs.
x < 50
The suitcase weighs 4 pounds and the contents he wants to pack weigh 49 pounds.
0.75p < 49
Therefore, 0.75p + 50ibs ≤ 49
The inequality that represents, the number of shirts he needs to remove to meet the flight requirements is 0.75p + 50ibs ≤ 49
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ1
A ball is thrown in the air the function H = 30t-5t^2 can be used to find the height (h) of the ball in meters after t seconds. how long does it take the ball to reach a height of 45 meters?
The most appropriate choice for Distance will be given by:
The ball takes [tex]3s[/tex] to reach a height of [tex]45[/tex] [tex]m[/tex].
What is Distance?
The length of the path an object takes without taking into account the direction of motion of the object is known as distance.
If [tex]s[/tex] is the speed of the object and [tex]t[/tex] is the time, then
Distance = [tex]s \times t[/tex]
Here,
[tex]H(t) = 30t - 5t^2[/tex], [tex]t[/tex] is the time in seconds
For finding the time taken by the ball to reach a height of [tex]45[/tex][tex]m[/tex], we need to substitute [tex]H(t) = 45[/tex]
Now putting [tex]H(t) = 45[/tex]
[tex]45 = 30t - 5t^2\\5t^2 - 30t+45 = 0\\ 5(t^2 -6t + 9)=0\\t^2 -6t+9=0\\t^2-3t-3t+9=0\\t(t-3)-3(t-3)=0\\(t-3)(t-3)=0\\t-3 = 0\\t = 3s[/tex]
So the ball takes [tex]3s[/tex] to reach a height of [tex]45[/tex] [tex]m[/tex].
To learn more about Distance, refer to the link:
https://brainly.com/question/26046491
#SPJ10
44+400 divided by (4+62)-24
Answer:
185
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
250
244
18
10
are one of the answers
give this 5 stars if correct
The angle a lies between 0° and 90° and is such that
2 tan²a + sec²a = 5-4 tana
Show that
3 tan²a +4 tana -4 = 0
and hence find the exact value of tan a
suppose that an allergist wishes to test the hypothesis that at least 30% of the public is allergic to some cheese products. explain how the allergist could commit a. a type i error; b. a type ii error.
Through hypothesis testing, it can be explained that Type I error occurs when the allergist determines that the percentage of the population who are allergic to some cheese products is at least 30% when it is actually less than 30%. Similarly, Type II error occurs when the allergist assumes that the percentage of the population who are allergic to certain cheese products is less than 30% when it is actually at least 30%
There are two possible outcomes for hypothesis testing, which leads to two different sorts of conclusion-related errors. This is due to the possibility that the estimated value of the measure and the inference made about the population measure from the samples could diverge.
Let's say an allergist wants to investigate the claim that at least 30% of the population has a cheese allergy.
Let p represent the actual percentage of the population that were allergic to certain cheese products.
The following is how the hypotheses are put forth:
[tex]H_{0}:p < 0.3\\H_{a}:p\geq 0.3[/tex]
The two types of errors that can be committed by the allergist can be described as below:
(a) Type I error:
When the null hypothesis is assumed to be true when it is actually false, type I error arises.
When an allergist determines that the percentage of the population who are allergic to some cheese products is at least 30% when it is actually less than 30%, type I mistake has been committed.
(b) Type II error:
When the null hypothesis is unsuccessfully rejected even when it is false, type II error has occurred.
When an allergist assumes that the percentage of the population who are allergic to certain cheese products is less than 30% when it is actually at least 30%, type II error has occurred.
To learn more about hypotheses testing visit https://brainly.com/question/28546522
#SPJ4
Which represents the inverse of the function f(x) = 4x?
Oh(x)=x+4
Oh(x)=x-4
Oh(x) = 3/4x
○ h(x) = 1/4x
Answer:
(d) h(x) = 1/4x
Step-by-step explanation:
You want to know the inverse of the function f(x) = 4x.
Inverse functionThe inverse of y = f(x) will be the solution to x = f(y).
x = f(y)
x = 4y . . . . . . substitute the argument in the function definition
x/4 = y . . . . . divide by 4 to solve for y
The inverse function is ...
h(x) = (1/4)x
Solve the inequality. Graph the solution. |8x−8|≤24
The solution of the given inequality would be x = 4. the graph of the given inequality is attached below.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given the inequality as |8x−8|≤24.
For solving the given expression,
|8x−8|≤24
We can consider the expression as;
8x−8 = 24
8x = 24 + 8
8x = 32
x = 32/8
x = 4
Hence, the solution of the given inequality would be x = 4.
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ1
Consider these two graphs. Does each represent a function? Why or why not?
Answer:
The first one is a function but the second one is not.
Step-by-step explanation:
Using the vertical line test, we can check if the graphs are a function or not. Every vertical line can only touch a graph once in order for the function to pass the Vertical Line Test. If a graph passes the Vertical Line Test, it's the graph of a function. The first one has no points intersecting each other if you draw a vertical line for each point. However, if you draw vertical lines for the second graph, the points vertically intersect each other, making it not a function.
When driving up a certain hill, you rise 15 feet for every 1000 feet you drive forward. What is the slope of the rode?
slope of the rode is 0.015.
What is slope of line ?
Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.
The point with coordinate having same slope as with given coordinates can be plotted on the same line.
Here, it is given that :
When driving up a certain hill, we rise 15 feet for every 1000 feet that is :
for 15 feet up = 1000 feet forward
Now,
slope = upward distance / horizontal distance covered
slope = 15/1000
slope = 0.015
slope is a unitless quantity.
Therefore, slope of the rode is 0.015.
check and know more about slope here :
https://brainly.com/question/14914699
#SPJ1
a perfect square is an integer that is the square of an integer. suppose that m and n are positive integers such that mn > 15. if 15mn is a perfect square, what is the least possible value of mn ?
Least possible value of m and n are 6 and 10.
Given a perfect square is an integer that is also square of an integer.
The given m and n are positive integers such that mn > 15.
To find out the least possible value of mn;
As given 15mn is a perfect square.
[tex]\sqrt{15mn}[/tex] is to be an integer.
[tex]\sqrt{15mn} = \sqrt{5*3*m*n}[/tex]
Now, insert m = 3, n = 5;
⇒ [tex]\sqrt{5*3*m*n} = \sqrt{5^2* 3^2} = 15[/tex]
but it is mn < 15.
So, assume m = 3 * 2, n = 5 * 2;
⇒ [tex]\sqrt{5*3*m*n} = \sqrt{5*3*3*2*5*2} = \sqrt{5^2*3^2*2^2} = 30[/tex]
30 it is an integer.
As we solved that the least possible value of m and n are 6 and 10.
To learn more about Perfect square click here:
brainly.com/question/385286
#SPJ4
Nelson has half of his investments in stock paying a 6% dividend and the other half in a stock paying 9% interest. if his total annual interest is $660 how much does he have invested?
Given:
percent of dividend = 6%
percent of interest = 9%
Total annual interest = $ 660
Let the amount invested in both stocks be x and y.
Annual interest on 6% dividend gives:
[tex]\begin{gathered} =\text{ }\frac{6}{100}\text{ }\times\text{ x} \\ =\text{ 0.06x} \end{gathered}[/tex]Annual interest on 9% interest rate:
[tex]\begin{gathered} =\text{ }\frac{9}{100\text{ }}\times\text{ y} \\ =\text{ 0.09y} \end{gathered}[/tex]The total annual interest is $ 660. We can write:
[tex]0.06x\text{ + 0.09y =660}[/tex]We are given that Nelson divided his investment in half. This implies:
[tex]x\text{ = y}[/tex]Substituting, we have:
[tex]\begin{gathered} 0.06x\text{ + 0.09x = 660} \\ 0.15x\text{ = 660} \end{gathered}[/tex]Divide both sides by 0.15:
[tex]\begin{gathered} \frac{0.15x}{0.15}\text{ = }\frac{660}{0.15} \\ x\text{ = 4400} \end{gathered}[/tex]Hence, the amount Nelson has invested:
[tex]\begin{gathered} x\text{ = y = 4400} \\ \text{Amount invested = 4400 + 4400} \\ =\text{ 8800} \end{gathered}[/tex]Answer:
Nelson has $4400 invested in each investment
You have exactly 10 coins with a total
value is $1. Three of the coins are
quarters. What are the remaining coins?
The
Answer:
2 dimes and 5 pennies
Step-by-step explanation:
2 dimes (d) is 10 and 5 pennies (p) is 5
75+p+d=100
75+p=80
80+d=100
Answer: 3 quarters, 2 dimes, 1 nickel.
Step-by-step explanation: 3 quarters are worth 75 cents, 2 dimes are worth 20 cents, and 1 nickel is worth 5 cents! Hope this helps
11-(15g-13)=-6
what does G stand for
Answer:
g = 2
Step-by-step explanation:
11- (15g - 13) = - 6 ( subtract 11 from both sides )
- (15g - 13) = - 17 ( multiply both sides by - 1 )
15g - 13 = 17 ( add 13 to both sides )
15g = 30 ( divide both sides by 15 )
g = 2
your company is producing special battery packs for the most popular toy during the holiday season. the life span of the battery pack is known to be normally distributed with a mean of 250 hours and a standard deviation of 20 hours. what is the probability that a randomly chosen battery pack lasts longer than 260 hours?
The probability that a randomly chosen battery pack lasts longer than 260 hours is 0.69.
What is a normal distribution?
The normal distribution is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean.
Since the life span of the battery pack is known to be Normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life spans of battery packs.
µ = mean life span
σ = standard deviation
From the information given,
µ = 250 hours
σ = 20 hours
The probability that a battery pack lasts longer than 260 hours. It is expressed as
P(x > 260) = 1 - P(x ≤ 260)
For x = 260
z = (260 - 250)/20 = 0.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.69
To learn more about the normal distribution from the given link
https://brainly.com/question/4079902
#SPJ4
The probability that a randomly chosen battery pack lasts longer than 260 hours is 0.69.
What is a normal distribution?
The normal distribution is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean.
Since the life span of the battery pack is known to be Normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life spans of battery packs.
µ = mean life span
σ = standard deviation
From the information given,
µ = 250 hours
σ = 20 hours
The probability that a battery pack lasts longer than 260 hours. It is expressed as
P(x > 260) = 1 - P(x ≤ 260)
For x = 260
z = (260 - 250)/20 = 0.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.69
To learn more about the normal distribution from the given link
brainly.com/question/4079902
#SPJ4
I NEED HELP WITH MY HOMEWORK
Chester made 9 sales and Vickie made 16 sales this week
Base salary of Vickie = $70
Vickie's commission per sale = $24
Base salary of Chester = $142
Chester's commission per sale = $9
Both people earned the same amount this week. Let x represent the number of sales made by Vickie, then sales made by Chester is x+7
Formulating the equation we get:
Base salary of Vickie + Vickie's commission per sale*Number of sales = Base salary of Chester + Chester's commission per sale*Number of sales
= 70 + 24x = 142 + 9(x+7)
70+24x = 142+9x+63
70+24x = 205+9x
15x = 135
x = 9
Chester sales = 9
Vickies sales = 9+7 = 16
Learn more about linear equations:
https://brainly.com/question/13738061
#SPJ1
Let g(x) = |2x - 10| find g(-3)
Answer:
g(-3) = 16
Step-by-step explanation:
To find g(-3), we need to plus -3 into the given function. So, g(-3) = |2(-3) - 10|. Now we solve using PEMDAS. Two times -3 is -6, then we have g(-3) = |-6-10| which is essentially g(-3) = |-16|. Lastly, we take the absolute value of |-16| which is just 16, therefore g(-3) = 16.
a playground is rectangular and the length is 7/8 miles. if the area is 8/20 what is the width?
Answer:
so the width is 16/35 miles
Step-by-step explanation:
Length - 7/8 miles
Area - 8/20 miles
we know from the equation that area = Length x width
we need to rearrange so the width = Area ÷Length
width = 8/20 ÷ 7/8
= 8/20 × 8/7
= 16/35
Compare, choose , or = 20% of 25 25% of 16
Answer: 20% of 25 is more than 25% of 16 if that is the question
I hope that is the question-
20% of 25 > 25% of 16
Write the equation of a line that goes through point (4, 0) and has an undefined slope
Answer:
x = 4
Step-by-step explanation:
You want the equation of a line that goes through point (4, 0) and has an undefined slope.
Undefined slopeThe slope of a line is the ratio of "rise" to "run." When the "run" is zero, the ratio involves division by zero, which results in the value "undefined." That is, a line with undefined slope has a "run" of zero, meaning it is a vertical line.
The equation for a vertical line is ...
x = c . . . . . where c is some constant
We want the line to go through a point that has x-coordinate = 4, so that constant must be 4.
The equation is x = 4.
chegg a spherical ball is measured to have a radius of 5 mm, with a possible measurement error of 0.1 mm. use the differential to estimate the possible change in volume (in mm3) resulting from the error in measuring the radius.
The possible change in volume that results from the error in measuring the radius is 32. 06 millimeters
How to determine the volume of the sphereIt is important to note that the formula for volume of a sphere is expressed by;
Volume = 4/3 πr³
Given that;
r is the radius of the sphereπ has the value 3.14Based on the information given, we have the measure of the radius to be 5 mm, with a possible measurement error of 0.1 mm
The original value of radius = 5mm
Radius after the measurement error = 5 + 0. 1 = 5. 01mm
Let's substitute the values into the formula
Volume = 4/ 3 (3.14)(5)³
We then expand the bracket
Volume = 4/ 3 (392.5)
Volume = 523. 3 cubic millimeters
For radius of the measurement error = 5.01mm
Volume = 4/ 3 (3.14)(5.1)³
Then, expand the bracket
Volume = 4/3 (416.52)
Volume = 555. 4 cubic millimeters
Change in volume = 555. 4 - 523. 3 = 32. 06 cubic millimeters
Hence, the change in volume is given as 32. 06 cubic millimeters
Learn more about volume here:
https://brainly.com/question/1972490
#SPJ1
Write an equation for the intervals of a parabola with x-intercepts at (2,0) and and (-5,0) that passes through the point (1, -18).
Help is always greatly appreciated.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y= 3 {x}^{2} + 9x - 30[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The values of x where a parabola cuts the x - axis (y = 0) are the roots of the quadratic equation.
I.e -5 and 2 for the given problem.
and the equation can be represented as :
[tex]\qquad\displaystyle \tt \rightarrow \: y = a(x - x1)(x- x2)[/tex]
where, x1 and x2 are the roots of the quadratic equation, a is a constant value (depicting strech in curve)
Now, plug in the values :
[tex]\qquad\displaystyle \tt \rightarrow \: y= a(x- 2)(x - ( - 5))[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = a(x- 2)(x+ 5)[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = a( {x}^{2} + 5x - 2x - 10)[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y= a( {x}^{2} + 3x - 10)[/tex]
Now, we need to find the value of a, for that let's use the coordinates of a point lying on the curve (1 , -18)
[tex]\qquad\displaystyle \tt \rightarrow \: - 18 = a( {1}^{2} + 3(1) - 10)[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: - 18 = a(1 + 3 - 10)[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: - 18 = a( - 6)[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: a = ( - 18) \div ( - 6)[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: a = 3[/tex]
Now, we got all required values. let's plug the value of a in equation, and we will get the required equation of parabola.
[tex]\qquad\displaystyle \tt \rightarrow \: y= 3( {x}^{2} + 3x - 10)[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y= 3 {x}^{2} + 9x - 30[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
[tex]\textsf{Factored form}: \quad f(x)=3(x-2)(x+5)[/tex]
[tex]\textsf{Standard form}: \quad f(x)=3x^2+9x-30[/tex]
Step-by-step explanation:
Factored form of a quadratic function
[tex]f(x)=a(x-p)(x-q)[/tex]
where:
p and q are the x-intercepts.a is some constant.Given x-intercepts:
(2, 0)(-5, 0)Substitute the given x-intercepts into the formula:
[tex]\implies f(x)=a(x-2)(x+5)[/tex]
To find a, substitute the given point (1, -18) into the equation and solve for a:
[tex]\implies -18=a(1-2)(1+5)[/tex]
[tex]\implies -18=a(-1)(6)[/tex]
[tex]\implies -6a=-18[/tex]
[tex]\implies a=3[/tex]
Therefore, the equation of the function in factored form is:
[tex]\boxed{ f(x)=3(x-2)(x+5)}[/tex]
Expand the brackets:
[tex]\implies f(x)=3(x^2+3x-10)[/tex]
[tex]\implies f(x)=3x^2+9x-30[/tex]
Therefore, the equation of the function in standard form is:
[tex]\boxed{f(x)=3x^2+9x-30}[/tex]
-26, 174, 374, 574, …
Find the explicit and recursive formula.
The explicit formula and the recursive formula are aₙ₋₁ + 200 and the rest is mentioned below.
What does explicit and recursive formula mean?A formula can be either recursive or explicit. The main difference between Recursive and Explicit is that Recursive formula gives the value of a specific term based on the previous term while Explicit formula gives the value of a specific term based on the position.
Given : a₁ = -26, a₂ = 174, a₃ = 374, a₄= 574
The common difference that is d can be found out by
thus d = a₂ - a₁ = 174 -(- 26 ) = 174 + 26 = 200
And this is same for all the numbers of this particular sequence.
Thus aₙ = aₙ₋₁ + d
= aₙ₋₁ + 200
Recursive formula : aₙ₋₁ + d
That is the following sequence will have a common difference of 200 and the next 5th, 6th, 7th and nth term is going to be .
774 , 974 ... etc
To know more about arithmetic sequences visit:
https://brainly.com/question/8972906
#SPJ13
9+3.5g=11-0.5g is what
1.) Tony deposited $743.22 to his checking account on July 1st. He then wrote a
check for $312.29 and another check for $36.70. The bank charged a
monthly service of $6.26. He now has $410.98 in the bank. How much did
Tony have in the bank at the end of June?
34
A. $387.97
B. $23.01
C. $798.95
D. $394.23
Answer:
23.01
Step-by-step explanation:
743.22-312.29-36.7-6.26
=387.97
410.98-387.97
=23.01
-15 = -3/4w solve for w and simplify your answer as much as possible
Answer:
w = 20
Step-by-step explanation:
a) Flip the equation.
-3/4 w = -15
b) Multiply both sides by 4/(-3).
(4/-3) * (-3/4 w) = (4/-3) * (-15)
w = 20
standard to intercept form
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{2}{3} x + 9[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The given equation is :
[tex]\qquad\displaystyle \tt \rightarrow \: 8x + 12y = 108[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 12y = 108 - 8x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{108}{12} - \frac{8}{12} x[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{2}{3} x + 9[/tex]
That's the required equation, with slope (m) = -2/3 and y - intercept = 9
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
What is the degree of the polynomial 12x^2+8x-9
Answer:f(x)=x8−8x6+19x4−12x3+14x2−8x+9=x8−8x6+16x4+3x4−12x3+12x2+2x2−8x+8+1
which allows us to rewrite f(x) as
f(x)=x4(x2−4)2+3x2(x−2)2+2(x−2)2+1
The first three terms are clearly non-negative, and each reaches their minimum of 0 at x=2 (the first term also has a minimum at x=−2). Thus, the minimum of f(x) must be 1.
This can't really be generalized. (I mean, you can apply the approach generally, but it won't generally give you such a convenient result.) I'm not sure I would have looked for this decomposition of f(x) except for the presence of the question.
Step-by-step explanation:
Joe mows a lawn, for which he charges $30, and does some one-time cleanup work, for which he is paid $60. How many times will he have to mow the law before he makes a total of $300
He has mowed the law before he makes a total of Dollar 300, The number of times he has to mow a lawn is 10
Joe mows a lawn, for which he charges = $ 30
Some one-time cleanup work, for which he is paid = $ 60
According to the question:
He has to mow the lawn before he makes a total of Dollar300
Number of times he has to mow a lawn = 300 / 30
The number of times he has to mow a lawn = is 10
He has mowed the law before he makes a total of Dollar 300, 10 times.
Learn more about numbers :
https://brainly.com/question/13465215
#SPJ4
Write an equation of the parabola shown. (0,4) (-5, 1.5)
the general formula of a parabola is
[tex]y=ax^2+bx+c[/tex]we can replace the the points to find a,b and c
First (0,4)
[tex]\begin{gathered} 4=a(0)^2+b(0)+c \\ 4=0+0+c \\ c=4 \end{gathered}[/tex]Then (-5,1.5) and c=4
[tex]1.5=a(-5)^2+b(-5)+4[/tex]