Answer:
f(-9) = 243
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationsStep-by-step explanation:
Step 1: Define
f(x) = 4x² + 7x - 18
f(-9) is x = -9
Step 2: Evaluate
Substitute in x: f(-9) = 4(-9)² + 7(-9) - 18Evaluate exponents: f(-9) = 4(81) + 7(-9) - 18Multiply: f(-9) = 324 - 63 - 18Subtract: f(-9) = 261 - 18Subtract: f(-9) = 243As, we have f(x) = 4x² + 7x - 18, so to find f(- 9) substitute value of x as (-9).
[tex] \tt : \implies f(-9) = 4(-9)² + 7(-9) - 18[/tex]
[tex] \tt : \implies f(-9) = 4 \times 81 + (-63) - 18[/tex]
[tex] \tt : \implies f(-9) = 324 - 63 - 18[/tex]
[tex] \tt : \implies f(-9) = 324 - 81[/tex]
[tex] \tt : \implies f(-9) = 243[/tex]
[tex] \Large \underline{\boxed{\bf{f(-9) = 243}}}[/tex]
Hence, value of f(- 9) = 243.
Jackson is going to the state fair. The cost of admission is $4.00, and it costs $1.50 for each ride. If Jackson has $20.00, which equation can be used to determine how many rides Jackson can ride?
09 Multiple Choice
Is 3 a solution to this inequality: x<3
yes
no
Answer:
No because the sign does not have a line under it. The line means equal too
Step-by-step explanation:
Murray works full-time and Earla works
part-time at the marina. One week, Murray
earned $75.00 more than three times as much
as Earla earned. Murray earned $450.00.
How much did Earla earn?
Which linear function has the greatest initial value? Which has the greatest rate of change? Use the drop-down menus to show your answer
Function A: (0,0) (2,5) (4,10) (6,15)
Function B: Y = 3x-1
Function C: picture***
Answer:
Step-by-step explanation:
The function C has the greatest initial value, and the function B has the greatest rate of change
Linear functionA linear function is a function whose value changes at a constant rate.
A linear function is represented as:
[tex]y = mx + c[/tex]
Where
m represents the ratec represents the initial value, or the value of the function, when x = 0Initial valuesThe initial value of function A is 0.
This is so because y = 0, when x = 0
The initial value of function B is -1
This is so because the value of function y = 3x - 1 is -1, when x = 0
From the graph, the initial value of function C is 2
Hence, the function C has the greatest initial value
Rate of changeRate of change is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, the rate of change of function A is calculated as follows:
[tex]m = \frac{5 - 0}{2-0}[/tex]
[tex]m = \frac{5 }{2}[/tex]
[tex]m = 2.5[/tex]
The rate of change of function A is 2.5
The rate of change of function B is 3.
The rate of change of function C is calculated as follows:
[tex]m = \frac{3 - 2}{3-0}[/tex]
[tex]m = \frac{1}{3}[/tex]
The rate of change of function C is 1/3
Hence, the function B has the greatest rate of change
Read more about linear functions at:
https://brainly.com/question/14323743
What is the rate of change of the line that passes through the points (-10,-7) and (2, 13)?
If 12 bars of chocolate cost £4.80 how much will 10 cost?
Answer:
it is 4.00 for 10
Step-by-step explanation:
because it is 40 cents for 1 bar so 40 plus 40 is 80 so minus 80 cents is 4.00 dollars
Simplify the expression
Hi there!
So what we need to do here is this...
Multiply -3/4 with there own parentheses and multiply 2 with it’s own parentthese also.
[tex]- \frac{3}{4} x 5p = 3 \frac{3}{4} p[/tex]
[tex]-\frac{3}{4} x 12 = 9[/tex]
Then do the second parenthese...
[tex]2x8=16[/tex]
[tex]2x - \frac{1}{4} = \frac{1}{2}p[/tex]
Add them like this...
[tex]( 3 \frac{3}{4}p + 9 ) + ( 16 -\frac{1}{2}p )[/tex]
Simplflied it again.../ since 3 3/4 and 1/2 both have p, add them...
[tex]3 \frac{3}{4} + - \frac{1}{2}p=3 \frac{1}{4}p[/tex]
Add the rest:
[tex]3 \frac{1}{4}p+9+16[/tex]
What is the value ofx?
Answer:
x = 39
Step-by-step explanation:
∠JKL and ∠LKM are complementary angles meaning they have a sum of 90° Knowing this, we can create an equation to solve for x.
2x - 14 + 26 = 90
2x + 12 = 90
2x = 78
x = 39
Angle 1 and 2 are complementary. The measure of angle 1 is 66 degrees. What is the measure of angle 2?
find the area of 4,4,8,2
Answer:
4x4x8x2 = 256
Step-by-step explanation:
Answer:
its 256
Step-by-step explanation:
4 x 4 x 8 x 2 = 256
Solve the quadratic equation.
3x^2=81
Answer:
3x^2=81
x²=81/3
x=√27=3√3
Step-by-step explanation:
3x²=81
With this we have to square root both sides to find the value of x.
[tex] \sqrt{3 {x}^{2} } = \sqrt{81} [/tex]
So the x will cancel the square root sign so;
[tex]3x = \sqrt{81} [/tex]
And now we have to find the square root of 81 which is 9, because when we multiply 9 by 9 we are going to be get 81 so the square of 9 is 81 and the square root of 81 is 9
So;
[tex]3x = 9[/tex]
And then we divide both sides by 3 to find the value of x ;
[tex] \frac{3x}{3} = \frac{9}{3} [/tex]
[tex]x = \frac{9}{3} [/tex]
[tex]x = 3[/tex]
5. Find the slope. Make sure to reduce
Is it possible to construct Triangle ABC with angles 40, 60 and 90 degrees?
EXPLAIN WHY OR WHY NOT
Answer:
No, it's not possible
Step-by-step explanation:
A triangle must equal 180 degrees. 40+60+90 is 190, which is over 180.
Sunrise, a bed-and-breakfast hotel, charges a one-time deposit of $25 plus $85 per night. Another bed-and-breakfast hotel called Bright Eyes charges a flat rate of $95 per night. Craig wants to book a hotel for 5 nights.
Answer:
Sunrise $450 Bright Eyes $475
Step-by-step explanation:
Let x= number of days
Sunrise:
(25 + 85x)= total cost
(25+85(5))= $450
Bright Eyes:
(95x)= total cost
(95(5))= $475
The Bright eyes hotel would be more cost efficient than the Sunrise hotel.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Sunrise, a bed-and-breakfast hotel, that charges a one-time deposit of $25 plus $85 per night. Another bed-and-breakfast hotel called Bright Eyes charges a flat rate of $95 per night.
The total cost for 5 nights at Sunrise hotel would be -
C(s) = 25 + 85 x 5 = $450
The total cost for 5 nights at Bright eyes hotel would be -
C(b) = 95 x 5 = $475
Therefore, the Bright eyes hotel would be more cost efficient than the Sunrise hotel.
To solve more questions on equation modelling, visit the link below-
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#SPJ2
Find the length of the missing side (nearest tenth).
15 yd
26 yd
Answer:
21.23 yard
Step-by-step explanation:
we need to do pyathagoras theoram.
Please help!! Use the discriminate to determine the number of solutions and types of solutions for the quadratic equation.
Discriminant=__
Number of solutions for the quadratic equation=___
a^2+3a=7
Answer:
two unequal, complex roots
Step-by-step explanation:
Rewrite this quadratic as a^2 + 3a - 7 = 0. The coefficients are {1, 3, -7}. The discriminant is b^2 - 4ac = 3^2 - 4(1)(-7), or 9 - 28, or -19.
Because the discriminant is negative, we know immediately that this quadratic has two unequal, complex roots.
The polynomial p(x)=x^3+3x^2-4 has a known factor of (x-1)
Answer:
your answer is
Factors: (x-1)(x+2)(x+2)
WANT MORE ANSWER THEN FOLLOW ME, LIKE & GIVE MY ANSWER AS BRAINLIST ANSWER.
In the equation, 23 + b= 456 the variable is what
What is the y-intercept of the graph?
Answer:
8
Step-by-step explanation:
Answer:
The Y-intercept is 8
Step-by-step explanation:
If you look at where Y starts at then that would be you intercept.
There are 90 girls and 60 boys in the sixth grade at a middle school of the students 9 girls and three boys write left-handed what percent of the 6th graders at this Middle School right left handed
Please Help This is due at midnight please and thank you
Answer:
Measure of angle s:
Sum all angles of triangle is = 180 degrees
So,
31 + 58 + x = 180
x = 180 - 31 - 58
x = 91
Measure of angle s: 91 degrees
ST = 17.005
RT = 33.012
Hope this helps you. Do mark me as brainlist.
Diego has a water bottle and pours 6.8 ounces of water out from the full bottle. He estimates that he poured out 20% of the water in the bottle
Answer:
34 ounces
Step-by-step explanation:
Here is the full question
Diego pours 6.8 ounces of water from a full bottle. He estimates that he poured out 20% of the water in the bottle. About how much water was in the full bottle?
Let b = total ounces in the bottle
the equation that can be derived from this question is :
0.2 x b = 6.8
To find b, divide both sides by 0.2
b = 6.8 / 0.2 = 34 ounces
Factor.
5f2 + 60f - 65
5(f-1)(f+13).
mulitpy it and you will get 5f2 + 60f - 65.
Le cross du college s'effectue sur le parcours schématisé
ci-contre en partant du point A et en suivant le sens des
leonas. Les eleves de quatrieme doivent parcourir 1.5 km.
On doit-on placer la ligne d'arrivée sur le circuit?
( measure : from A to B is 69 m
from B to C is 72m
from D to A is 36m )
Answer is in the photo. Click on the photo.
3 x 6 + 3^3 + 4^3
plz help
Answer:
18x + 91
Step-by-step explanation:
Answer:
I believe it will be 118
Step-by-step explanation:
Hope this helps.
what is the HCF(Highest Common Factor) of :
a) 6 and 8
b) 8 and 12
c) 6 and 12
PLEASE HELP!!!
Answer:
a)2
b)4
c)6
Step-by-step explanation:
Please find the product of
(a^3-a^2)×7a
Answer:
The answer will be 7a⁴-7a³=7a. (4-3=1) using exponents property
solve for x. 9 4 13.5 x+4
Answer:
x = 2
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, that is
[tex]\frac{x+4}{13.5}[/tex] = [tex]\frac{4}{9}[/tex] ( cross- multiply )
9(x + 4) = 54 ( divide both sides by 9 )
x + 4 = 6 ( subtract 4 from both sides )
x = 2
mother cute the cloth that measures 23.349 cm. What is the place value of 4 in this number
Answer:
The place value is Hundrenths.
Step-by-step explanation:
After teh decmal it goes . Tenths,Hundreths,thosands.. and so o n. The 4 is in the Hundreths place.
Plot and label the point on the coordinate grid. E(5, 2)
Step-by-step explanation:
The answer is put x=2
Y=2