f(x)=x^2-x+3 what is f(4)
Answer:
15
Step-by-step explanation:
In the function f(x), x is the variable. So, whatever is in the parentheses, replacing x, should replace x throughout the entire function. So, to find f(4) simply plug in 4 for x.
First, rewrite the function with 4 as xf(4) = 4^2 - 4 + 3
Next, combine like termsf(4) = 4^2 - 1
Then, raise 4 to the power of 2f(4) = 16 - 1
Finally, subtractf(4) = 15
Answer:
f(4) = 15
Step-by-step explanation:
Substitute 4 for x and solve for f(4).
[tex]f(x)=x^2-x+3\\f(4)=(4)^2-4+3\\f(4)=16-4+3\\f(4)=15[/tex]
A fish is 12 meters below the surface of the ocean. What is its elevation?
Answer:
-12 meters because it is BELOW the surface of the ocean
A parachutist's elevation changes by - 135 ft in 15 seconds. What is the change in the parachutist's elevation each second?
Her elevation changes ? Feet each second
[tex]\tt =\dfrac{135}{15}=9\:ft/s[/tex]
(5, 1) and (15, 16) are on the same line. What is the slope of the line? What is the y-intercept? Write the equation for the line.
Answer:
[tex]\displaystyle 3x - 2y = 13\:or\:y = 1\frac{1}{2}x - 6\frac{1}{2} \\ [0, -6\frac{1}{2}] \\ 1\frac{1}{2} = m[/tex]
Step-by-step explanation:
First, figure the rate of change [slope] out:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-1 + 16}{-5 + 15} = \frac{15}{10} = 1\frac{1}{2} \\ \boxed{1\frac{1}{2} = m}[/tex]
Now locate the initial value [y-intercept] by plugging an ordered pair into the slope-intercept formula. It does not matter which ordered pair you use:
_______________________________________________
[tex]\displaystyle y = mx + b[/tex]
16 = 1½[15] + b >> [tex]\displaystyle 16 = 22\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]
OR
1 = 1½[5] + b >> [tex]\displaystyle 1 = 7\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]
[tex]\displaystyle [0, -6\frac{1}{2}][/tex]
_______________________________________________
You now have your initial value. All that is left is to write the equation of this line, which can be written two ways:
> Slope-Intercept Form
[tex]\displaystyle y = 1\frac{1}{2}x - 6\frac{1}{2}[/tex]
> Standard Form [tex]\displaystyle [Ax + By = C][/tex]
y = 1½x - 6½
- 1½x - 1½x
___________
–1½x + y = –6½ [We CANNOT leave the equation this way, so multiply by –2 to eradicate the fraction\denominatour (if you wrote the equation as mixed numbers\if you wrote the equation as improper fractions).]
–2[–1½x + y = –6½]
[tex]\displaystyle 3x - 2y = 13[/tex]
With that, you have defined all the information.
[tex]\displaystyle -3x + 2y = -13[/tex]
*About this equation, INSTEAD of multiplying by –2, you multiply by its oppocite, 2. Now, you can leave it like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.
I am joyous to assist you at any time.
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The given measure of the angle in standard form, -17•π/6, gives;
A. The terminal side of the angle, -17•π/6 is located in the third quadrant
B. The reference angle is 150°
C. The values of the six trigonometric functions are;
cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3What are trigonometric ratios?Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.
A. The given measure of the angle is -17•π/6
2•π radians = 360°
π radians = 180°
-17•π/6 = -(2+(5/6))•π
Therefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°
The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axis
The terminal side is in the third quadrantB. The reference angle is the acute angle between the terminal side and the x–axis
Therefore;
The reference angle is 150°C. The six trigonometric functions are;
cosine, sine, tangent, cotangent, secant, and cosecant
cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3Learn more about trigonometric ratios here:
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Answer: I hope this helpful
Step-by-step explanation:
The given measure of the angle in standard form, -17•π/6, gives;A. The terminal side of the angle, -17•π/6 is located in the third quadrantB. The reference angle is 150°C. The values of the six trigonometric functions are;cos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = √3What are trigonometric ratios?Trigonometric ratios relates an angle to the ratio of the sides of a right triangle containing the angle.A. The given measure of the angle is -17•π/62•π radians = 360°π radians = 180°-17•π/6 = -(2+(5/6))•πTherefore, the terminal side makes one complete revolution clockwise starting from the x–axis, it then makes a further -(5/6)•π, clockwise, which is -(5/6)×180° = -150°The terminal side therefore moving clockwise, passes the fourth quadrant and stops at the third quadrant at -150°, which is equivalent to 210° clockwise rotation from the x–axisThe terminal side is in the third quadrant B. The reference angle is the acute angle between the terminal side and the x–axisTherefore;The reference angle is 150°C. The six trigonometric functions are;cosine, sine, tangent, cotangent, secant, and cosecantcos(-17•π/6) = -(√3)/2sec(-17•π/6) = -2/(√3) = -2•(√3)/3sin(-17•π/6) = -0.5cosec(-17•π/6) = -2tan(-17•π/6) = (√3)/3cot(-17•π/6) = 3/(√3) = 3•√3/3 = √3Learn more about trigonometric ratios here:brainly.com/question/11967894#SPJ1Explore all similar answersTHANKS 25.0(3 votes)Need a bit more clarification? Get a high-quality answer with step-by-step explanations from a professional in just minutes instead!GET A VERIFIED ANSWERAdvertisementStill have questions?FIND MORE ANSWERSReady to dive into rabbit hole and unlock a badge.ASK YOUR QUESTIONHelp others with Mathematics questions+1 NEW QUESTION6 minutes agoFirst questionA regular hexagon and a regular pentagon have the same perimeter. All measurements are given in centimetres. The hexagon has a side length given by 7m +3. The pentagon has a side length given by 8m + 6. Work out the value of m.ADD ANSWER+5017 minutes ago(y)/(a)-b=(y)/(b)-a if a is not equal to bADD ANSWER+523 minutes agoFirst questionProducts A and B are made according to the bill of materials diagram shown below. Scheduled quantities of the end products are, for A, 95 units in week 4, 150 units in week 6, and 130 units in week 8, and for B, 80 units in week 3, 70 units in week 6. Lead-times: A = 2 weeks, B = 1 week.ADD ANSWER+524 minutes agoFind the compound interest earned by the deposit. Round to the nearest cent. 1) $3000 at 5% compounded semiannually for 6 years 2) $700 at 8% compounded quarterly for 5 yearsADD ANSWER+725 minutes agoFind the simple interest and the final value of the deposit that earns the given rate for the indicated length of time. Round your answers to the nearest cent. $6282 earning 9% for 9 monthsADD ANSWER+5LOAD MOREPreviousNext
There are 20 grams of protein in 3
ounces of sautéed fish. If the answer is
ounces, what is the question?
Answer:
How many ounces of fish per gram of protein?
Step-by-step explanation:
Which combination of transformations can you use to show that one shape is congruent to another?
ОА.
dilations and reflections
OB.
reflections and stretches
Ос.
rotations and translations
OD.
reflections, dilations, and translations
ОЕ.
rotations, translations, and dilations
Answer: I believe is is C, rotations and translations
Step-by-step explanation:
This is because a congruent figure is one that has the same side lengths and angle measures.
Stretches and dilations are non-rigid transformations which change the length of the sides of a shape. While rotations, transformations, and reflections are rigid transformations which preserve angle measure and side length.
So, while a shape can be similar using stretches and dilations, they cannot be congruent.
What is the solution to the equation below. 12 + square root 1 - 4x = 15
Answer:
C) x = -2
Step-by-step explanation:
Original equation:
[tex]12+\sqrt{1-4x}=15\\[/tex]
subtract 12 from both sides:
[tex]\implies \sqrt{1-4x}=3[/tex]
square both sides:
[tex]\implies 1-4x=9[/tex]
subtract 1 from both sides:
[tex]\implies -4x=8[/tex]
divide both sides by -4:
[tex]\implies x=-2[/tex]
[tex]\\ \tt\rightarrowtail 12+\sqrt{1-4x}=15[/tex]
[tex]\\ \tt\rightarrowtail \sqrt{1-4x}=3[/tex]
[tex]\\ \tt\rightarrowtail 1-4x=3^2[/tex]
[tex]\\ \tt\rightarrowtail 1-4x=9[/tex]
[tex]\\ \tt\rightarrowtail -4x=8[/tex]
[tex]\\ \tt\rightarrowtail x=-2[/tex]
Find the value of x.
A 4
B 6
C 3
D 2
Answer: x=4
Step-by-step explanation:
What is HL???
HL=__
Image Below
Consider a trapezoid GJKF with:
GH=JH (hypothesis)
FL=KL (hypothesis)
so HL is the median of trapezoid GJKF
so: HL=1/2(2.5+1.2)=1.85
If I have a candy bar divided into 6 equal parts, and I eat 2 of the parts, what fraction of the candy bar did I eat?
Answer:
2/6 or 1/3
Step-by-step explanation:
Nothing it is just basic mathematics
Fraction form
[tex]\\ \tt\rightarrowtail \dfrac{2}{6}[/tex]
[tex]\\ \tt\rightarrowtail \dfrac{1}{3}[/tex]
Here are six number cards.
-5 -2 -3 2 0-1
Arrange the cards into three pars with the same total
Answer:
-5 and 2
-5 and 2-3 and 0
-5 and 2-3 and 0-2 and - 1
(When you add them you'll get - 3)
Hope this helps!
24. Human body temperatures have a mean of 98.2° and a
standard deviation of 0.62º. Sally's temperature has a z-score
of z= 2.1. What is her temperature? Show work.
Answer:
Step-by-step explanation:
We have been given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°. Sally's temperature can be described by z = -1.5.
To find Sally's temperature we will use z-score formula.
, where = Mean, = Standard deviation.
Let us substitute our given values in z-score formula.
Multiply 0.62 to both sides of equation.
Add 98.20 to both sides of equation.
Therefore, Sally's temperature will be 97.27 degrees Fahrenheit.
What is the anwser to 25x6+200
Answer:
350
Step-by-step explanation:
if this is wrong or correct please let me know and sorry if its wrong which i am pretty sure it's correct :)
Suppose a company has fixed costs of $42,000 and variable cost per unit of 4/9x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1861 − 5/9x dollars per unit.
(a) Find the break-even points. (Enter your answers as a comma-separated list.)
(b) Find the maximum revenue. (Round your answer to the nearest cent.)
(c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit.
(d) What price will maximize the profit? (Round your answer to the nearest cent.) $
Answer:
C
Step-by-step explanation:
Because if you can read the whole thing u can find what you need to find
• Jami and Mami together had $32. Jami
said, "If you give me $5, we'll have the
same amount." How much did each
one have?
Answer:
Jami has $13.5
Mami has $18.5
Step-by-step explanation:
Let j = Jami's money
m - Mami's money
j + m = 32
j = m - 5 (Since Jami basically has 5 less than Mami)
Substitute the j in the top equation
m - 5 + m = 32
2m - 5 = 32
Add 5 to both sides
2m - 5 = 32
2m = 37
Divide both sides by 2
2m/2 = 37/2
m = 37/2 = 18.5
Now plug the new m into the bottom equation
j = 18.5 - 5
j = 13.5
Which ordered pairs are in the solution set of the system of linear inequalities?
8
y2-4
y<
-6-5-4-3-2-
Inequalities are used to represent unequal expressions
The solution to the system of inequalities is (-1,1)
How to determine the solutionThe system of inequalities is given as:
y > x + 2 and
y < 2x + 3
To do this, we start by plotting the graphs of the two inequalities
y > x + 2 and y < 2x + 3
See attachment for the graph
From the attached graph, both lines meet at (-1,1)
Hence, the solution to the system of inequalities is (-1,1)
Read more about system of inequalities at:
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If f(x) is an exponential function where f(-2.5) = 1 and f(3.5) = 15, then find the value of f(-1.5), to the nearest hundredth.
Answer:
1.57
Step-by-step explanation:
what’s the answer to this geometry question??
Answer:
Step-by-step explanation:
The apothem of the square is four time lower than the area squared. Thus, to do this, we must use the formula A = s^2
Using this, we do A = s^2, and replace s for 12. Doing exponents first following order of operations (PEMDAS), we get 144. Now, that's only one side of the square. Since the square is 4 sides, we must multiply by four. Thus, your answer is (144 * 4) = 576 cm^2.
Answer: 576 cm squared.
Take $27.99 from $42.79.
Answer:
14.8
Step-by-step explanation:
42.79-27.99=14.8
When subtracted $27.99 from $42.79, we get $14.8.
Subtraction is one of the most basic arithmetic operation in mathematics. Subtraction implies taking away one value from the another. Subtract x from y implies y - x. The number after from comes first. On subtraction, the sign (positive/negative) of the greater number of the two numbers given, is the sign (positive/negative) of the answer. Subtraction is also called as difference.
Given in the question,
Take $27.99 from $42.79
This implies,
= 42.79 - 27.99
= 14.8
Learn more about subtraction here
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Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
-\dfrac65-\dfrac23v+\dfrac{4}{15}+\dfrac13v−
5
6
−
3
2
v+
15
4
+
3
1
v
Answer:
[tex]-\dfrac{14}{15}-\dfrac{1}{3}v[/tex]
Step-by-step explanation:
Given expression:
[tex]-\dfrac{6}{5}-\dfrac{2}{3}v+\dfrac{4}{15}+\dfrac{1}{3}v[/tex]
Collect like terms:
[tex]\implies \dfrac{4}{15}-\dfrac{6}{5}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]
Make the denominators for the like terms the same:
[tex]\implies \dfrac{4}{15}-\dfrac{6 \times 3}{5 \times 3}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]
[tex]\implies \dfrac{4}{15}-\dfrac{18}{15}+\dfrac{1}{3}v-\dfrac{2}{3}v[/tex]
Combine like terms:
[tex]\implies \dfrac{4-18}{15}+\dfrac{1-2}{3}v[/tex]
[tex]\implies -\dfrac{14}{15}-\dfrac{1}{3}v[/tex]
Answer:
-14/15 - 1/3w
Step-by-step explanation:
khan
Two brothers, Charles and Brian,each inherit $30000. Charles invests his inheritance ina a savings account with an annual return of 2.5 %, while Brian invest his inheritance ina CD paying 6.2% annually. How much more money than Charles does Brian have after 1 year?
Answer:
$1,110
Step-by-step explanation:
You have to use the interest formula to calculate how much each brother will have after a year.
A = P(1+r)^t
A = future/ending value
P = principle
R = interest rate
T = time (given in years)
Charles = 30,000(1+.025)^1 = 30,750
Brian = 30,000(1+.062)^1 =31,860
31,860-30,750=1,110
Brian will have $1,110 more than Charles after 1 year
How do I figure out the area and perimeter of these shapes and how do you figure out the unknown side? Q9
gment
What is the length of segment TS?
O 5 units
O 6 units
10 units
12 units
Answer: D) 12 units
Explanation:
There are 12 spaces between T and S.
You can count the spaces out, or subtract and use absolute value.
You could use the distance formula, but it's a bit overkill in this situation. The distance formula is only ever needed whenever we don't have horizontal or vertical line segments.
Edit: The solution has been corrected to the correct value.
solve for x. -1 = x/2 + 7
Answer:
x = -16
Step-by-step explanation:
HELP!! 5/6 divided by 8/11
Answer:
Look below
Step-by-step explanation:
55/48 or 1 7/48 depending if you wanted it mixed or not
Answer: Say less bucko! It’s 1.14583. Hey there’s more! The last digit for the 3 is continuous meaning it will go on forever. So the 3 has to have a bar on top. I’m sorry it’s too long!
Step-by-step explanation:
Can someone please help me with this?
Answer:
Between 8 and 9
Step-by-step explanation:
We know that the equation for the volume of a cone is V = 1/3(pi)r^2h
So,
V = 1/3(pi)r^2h
150pi = 1/3(pi) r^2 h --> the pi's cancel out and then we are left with...
3(150) / h = r^2
Plug in values and simplify --> r = sqrt.(450/6) and you end up getting 8.66025403784.
Hope that helps!
If the polygon is translated 2 units down and 4 units left what will the coordinates of the new image be? Use prime notation in expressing the new coordinate
Answer:
A’ is (3,-3)
B’ is (-1,-4)
C’ is (-1,2)
D’ is (3,1)
Step-by-step explanation: i forgot how i did this but i did it last week in math or somthing sorry if its wrong it was right for me
write 1/4 in a decimal and percent
Answer:
0.25 and 25%
Step-by-step explanation:
25% is the same as 1/4
0.25 is the same as 1/4
Answer:
1/4 = 0.25
1/4 = 25%
1/4 or 1 divided by 4 equals 0.25 (decimal) and 25% (percentage).
How many grams are there in 4 kilograms