微積分
極限、導関数、最適化、関数挙動。
-
26 a) f(x) = (3x - 15)/(2x + 12)
If finding domain: All real numbers except \( x=-6 \) (or \( (-\infty, - 6)\cup(-6, \infty) \)); If simplifying: \( \frac{3(x - 5)}{2(x + 6)} \) (\( x eq - 6 \))
-
determine the range of the function graphed below. options: $(-5, 5)$ $…
\([-7, - 2]\) (corresponding to the option \([-7, - 2]\))
-
independent practice leveled practice in 7–16, find each difference. 7.…
7. $\frac{1}{8}$ 8. $\frac{1}{6}$ 9. $\frac{1}{9}$ 10. $\frac{11}{20}$ 11. $\frac{11}{12}$ 12. $\frac{5}{14}$ 13. $\frac{3}{10}$ 14. $\frac{9}{16}$ 15. $\frac{1}{18}$ 16. $\frac{3…
-
what type of topic suits a concept speech? processes like building a fl…
B. Ideas like sociology or values (assuming the options are labeled as A. processes like building a float, B. ideas like sociology or values, C. festivals like Austin City Limits)
-
the usa patriot act was passed to: a. amend the constitution b. improve…
B. Improve security
-
use the given graph of the polynomial function to state whether the lea…
Positive, Quartic
-
informative speeches: analysis & organization part ii what type of topi…
The option "ethics: The reasoning of values" (assuming it's one of the options, likely the middle one based on the context of concept speech fitting abstract concepts like ethics)…
-
question 22 (3 points) given ( f(x) = \begin{cases} -4x + 5 & ; x < 5 \…
-14 (corresponding to the option " -14 ")
-
7. what are the bill of rights? explain the purpose of adding these rig…
(for question 7): The Bill of Rights is the first ten amendments to the U.S. Constitution, and its purpose was to protect individual liberties and limit the power of the federal g…
-
consider the following recursive formula which describes the fibonacci …
\(a_3 = 2\), \(a_4 = 3\), \(a_5 = 5\), \(a_6 = 8\)
-
what is the purpose of developing and evaluating a project budget? to e…
A. To ensure the company does not lose money on the project
-
determine the domain of the function graphed below. options: (-1, 9), -…
\([-1, 9]\) (corresponding to the option \([-1, 9]\))
-
select the differential equation that matches the given slope field. an…
\( \boldsymbol{\frac{dy}{dx}=x(y - 1)} \) (the option with \( \frac{dy}{dx}=x(y - 1) \))
-
pythagorean distance what is the horizontal distance a? points: (4, 5) …
9
-
suppose that a household’s monthly water bill (in dollars) is a linear …
\( \$36.71 \)
-
point of view point of view - the perspective from which a story is tol…
3rd person omniscient
-
9. mr. jamison bought a toaster oven that was originally priced at $65.…
9. $55.25 10. 2400 11a. -1 11b. -42 11c. -108 11d. 8 11e. 10 11f. 25 12a. 23 12b. -72 12c. -3 12d. -9 13. -7.\overline{2} (or approximately -7.22)
-
12. the functions f and g have continuous second derivatives. the table…
The equation of the tangent line to the graph of \( k(x) \) at \( x = 6 \) is \( y - 8=-7(x - 6) \) (or \( y=-7x + 50 \))
-
solve the quadratic equation by completing the square. $x^2 - 10x + 19 …
Form: \((x - 5)^2 = 6\) Solution: \(x = 7.45, 2.55\)
-
evaluating a rebuttal some people say that allowing internet access in …
C. It provides a solution to the problem suggested by the counterclaim.
-
reflect alison is sewing a costume and needs $2\\frac{3}{8}$ yards of r…
- Red + Blue: Must regroup (fraction sum = 1). - Blue + Green: Must regroup (fraction sum = 9/8 ≥1). - Red + Green: No regroup (fraction sum = 7/8 <1).
-
question 15 (3 points) write the equation of the graph after the indica…
\( y = -6(x + 4)^2 - 8 \) (corresponding to the option \( y = -6(x + 4)^2 - 8 \))
-
find the inverse function of f(x), f(x) = (x + 4)/(x - 3) f⁻¹(x) = (3x …
\( f^{-1}(x)=\frac{3x + 4}{x - 1} \) (the fourth option: \( f^{-1}(x)=\frac{(3x + 4)}{(x - 1)} \))
-
question 13 (3 points) consider the graph of ( y = ax^2 + bx + c ), whe…
A. Concave Up ### Question 14
-
question 12 (3 points) use the vertical line test to determine whether …
not a function
-
carol can be defined as a social drinker because she can easily limit d…
T
-
the number of acres in a landfill is given by the function b(t) = 7300e…
B. 6,672 acres
-
find the effect of the change to the graph of the parent function of $y…
B. Shifted 3 units down (assuming the second option is labeled as B; if original options have labels like A, B, etc., adjust accordingly. Based on the options, the correct one is …
-
identify the function from the given graph.options: $y = (x + 2)^3$, $y…
\( y = x^3 + 2 \) (the third option: \( y = x^3 + 2 \))
-
dividing whole numbers by non-unit fractions: use the drawing tool on t…
$\frac{20}{3}$ (or $6\frac{2}{3}$)
-
practice add and regroup, if needed. 5. \\\\begin{array}{r} 5\\frac{1}{…
12 ### Problem 6:
-
to add mixed numbers, add the whole numbers, add the fractions, and reg…
1. \(7\frac{5}{6}\) 2. \(6\frac{5}{8}\) 3. \(3\frac{2}{5}\) 4. \(6\)
-
15.) the confederates had at least one 24 lb mortar at the battle of ge…
The angles are approximately \(18.4^{\circ}\) and \(71.6^{\circ}\)
-
what contributed to the cultural diversity in central america and the c…
the arrival of Christopher Columbus
-
use point - slope form to write the equation of a line that passes thro…
\(y - 5=x - 13\) (or in the more standard point - slope form \(y - 5 = 1(x - 13)\))
-
given the function f(x) = x + 12. find (f ∘ f)(x). ○ x + 12 ○ x + 24 ○ …
\(x + 24\) (corresponding to the option "x + 24")
-
Question was provided via image upload.
C. Deng supported limited capitalist reforms; Mao did not support any form of capitalism.
-
uivalent fractions using a common denominator. s. \\(\\frac{3}{5} = \\f…
For $\frac{3}{5}=\frac{?}{40}$, the answer is 24. For $\frac{4}{8}=\frac{?}{40}$, the answer is 20.
-
practice find each sum. 4. $4\\frac{7}{8} + 5\\frac{7}{8}$ step 1: add …
\( 10\frac{3}{4} \) ### Problem 5: \( 5\frac{2}{3} + 1\frac{2}{3} \)
-
rewrite the answer as equivalent mixed numbers. enter your answers. $6\…
First blank: 5; Second whole number: 7; Third numerator: 1 (So filling the blanks: $6\frac{15}{12}=6\frac{5}{4}=7\frac{1}{4}$)
-
root equations solve for a a² = 13 ? a=±√11 a=±√13 a=√13 a=±4
B. \(a = \pm\sqrt{13}\) (assuming the second option is labeled as B with text \(a=\pm\sqrt{13}\))
-
4) $5\\frac{1}{2} - 3\\frac{4}{5} =$ 5) $9\\frac{4}{10} - 3\\frac{1}{3}…
$1\frac{7}{10}$ ### Problem 5:
-
the function $y = f(x)$ is graphed below. what is the average rate of c…
-5
-
solve for a (a^2 = 11) options: (a=pmsqrt{11}) (a=pmsqrt{12}) (a=sqrt{1…
\( a=\pm\sqrt{11} \) (the first option: \( \boldsymbol{a=\pm\sqrt{11}} \))
-
phyllis cannot be alone. her moods and behaviors are reckless, includin…
C) borderline personality disorder
-
phyllis cannot be alone. her moods and behaviors are reckless, includin…
C. borderline personality disorder
-
3) \\(\\frac{-1}{3} \\times 2\\frac{2}{3} \\times 2\\) 5) \\(\\frac{1}{…
\( -\frac{16}{9} \)
-
type the correct answer in each box. use numerals instead of words. the…
| x | y | |-----|----| | -12 | 15 | | -6 | 11 | | 3 | 5 | | 15 | -3 | (The boxes should be filled with -12, 11, 3, -3 respectively from top to bottom in the x or y columns as per …
-
20. reasoning how can estimating the quotient help you check that your …
Estimating the quotient gives a rough expected value. By comparing the actual division result to this estimate, if they are close, the answer is reasonable; if not, there may be a…
-
polynomial inequalities solve each inequality 1) $(x - 4)(x + 1) \\leq …
The solution to the inequality \(x^2-14x + 49\geq0\) is all real numbers, which can be written in interval notation as \((-\infty,\infty)\) or in set - builder notation as \(\{x|x…
-
suppose parametric equations for the line segment between (4,9) and (1,…
\(a = 4\), \(b=-3\), \(c = 9\), \(d=-3\)
-
the ellipse \\(\\frac{x^2}{3^2} + \\frac{y^2}{2^2} = 1\\) can be drawn …
For \( r \): \( 3 \) For \( y(t) \): \( 2\sin(t) \)
-
select the correct answer from each drop-down menu. what is the quotien…
Quotient: 166, Remainder: 3
-
the ellipse \\(\\frac{x^2}{6^2} + \\frac{y^2}{3^2} = 1\\) can be drawn …
For \(r\), the value is \(6\). For \(y(t)\), the expression is \(3\sin(t)\). So \(r=\boxed{6}\) and \(y(t)=\boxed{3\sin(t)}\)
-
change the fractions into decimals. \\frac{1}{8} \\frac{5}{8} \\frac{3}…
\(\frac{1}{8}=0.125\), \(\frac{5}{8}=0.625\), \(\frac{3}{8}=0.375\), \(\frac{7}{8}=0.875\)
-
which function is graphed below? options: $f(x) = \\cos(x)$ $f(x) = -\\…
\(f(x)=-\sin(x)\) (the option with \(f(x)=-\sin(x)\))
-
question 6 the graph below can be represented by parametric equations o…
\(a = 4\) and \(b = 2\)
-
1. a) faire l’étude des fonctions suivantes. ① ( f(x) = 7 ) ② ( g(x) = …
\( k(g(-4)) = 36 \)
-
18. higher order thinking you are dividing 3,972 by 41. explain why the…
When dividing \(3972\) by \(41\), we first check the first two digits of the dividend (\(39\)). Since \(39<41\), we cannot get a non - zero whole number quotient from dividing \(3…
-
$\\frac{3}{5}\\times\\left(\\frac{1}{3}+\\frac{1}{8}\ ight)=\\_________…
First equation: $\frac{11}{40}$; Second equation: $\frac{49}{72}$
-
$-\frac{1}{2} div left(2\frac{3}{4} + 2\frac{1}{4} ight)$
\(-\frac{1}{10}\)
-
maths sn5 fonctions racines carrées, valeurs absolues et rationnelles 1…
La règle de la fonction \( f + m \) est \( (f + m)(x) = 7 + \frac{20x + 10}{5x - 10} \) (ou simplifié \( \frac{11x - 12}{x - 2} \) pour \( x eq 2 \)).
-
the function $y = f(x)$ is graphed below. what is the average rate of c…
-2
-
which function describes the graph below? graph of a curve options: y =…
\( y = 4\cos(x)+3 \) (the second option: \( y = 4\cos(x)+3 \))
-
28. write the equation of the line that is perpendicular to y = 2x - 9 …
The equation of the line is \( y = -\frac{1}{2}x - 4 \)
-
what is the period of f(x) = sin(x)? options: - \\(\\frac{\\pi}{2}\\) -…
D. \( 2\pi \)
-
through how many radians does the minute hand of a clock rotate from 12…
\(\boxed{\dfrac{7\pi}{6}}\)
-
the function $y = f(x)$ is graphed below. what is the average rate of c…
To find the average rate of change of the function \( f(x) \) on the interval \( -6 \leq x \leq -4 \), we use the formula for the average rate of change, which is: \[ \text{Averag…
-
fonctions racines carrées, valeurs absolues et rationnelles. 1. a) fair…
\( k(g(-4)) = 36 \)
-
given the parametric equations below, eliminate the parameter t to obta…
\( y(x)=x^{\frac{8}{5}} \)
-
multiply. $-2 \\times 4 \\frac{3}{4} = \\square$
\(-\frac{19}{2}\) (or \(-9\frac{1}{2}\))
-
eliminate the parameter t to find a cartesian equation in the form x = …
\( -4y^2 + 72y - 324 \) (or in factored form \( -4(y - 9)^2 \))
-
every economic decision has only positive benefits. gained opportunitie…
a consequence or tradeoff.
-
which set of transformations is needed to graph f(x) = -2sin(x) + 3 fro…
The correct option is the one with "reflection across the x - axis, vertical stretching by a factor of 2, vertical translation 3 units up" (the third option in the list of options…
-
19. vocabulary write a division story problem with 53 as the divisor an…
The division story: There are 2,491 candies to be distributed equally among 53 children. Each child gets 47 candies. The solution is \( 2491\div53 = 47 \).
-
what is one way that economics can influence your daily life? by forcin…
C. by helping you understand that every choice has a tradeoff
-
eliminate the parameter t to find a simplified cartesian equation of th…
\( 2x + 36 \)
-
e) determiner ou évaluer ( k(g(-4)) ). 2. pour un imprimeur, le coût ( …
L'intervalle des coûts de production est \( [1600, 3200] \) (en unités monétaires, supposées).
-
if f(1) = 0, what are all the roots of the function f(x)=x³+3x²−x−3? us…
\( x=-3 \), \( x = - 1 \), or \( x = 1 \) (corresponding to the option: \( x=-3,x = - 1,\text{or }x = 1 \))
-
what is the range of $y = -5\\sin(x)$? \\bigcirc all real numbers $-5 \…
all real numbers \( -5\leq y\leq5 \)
-
what is the maximum of f(x) = sin(x)? -2π -1 1 2π
C. 1
-
• graph the function. the horizontal values represent the input, and th…
The value of \( x \) is \( \boldsymbol{11} \).
-
one factor of $f(x) = 5x^3 + 5x^2 - 170x + 280$ is $(x + 7)$. what are …
B. \(x = -7\), \(x = 2\), or \(x = 4\)
-
x | f(x) = 5(x + 2) 0 | 10 1 | 15 2 | 20 3 | 25 4 | 30 x | m(x) = 3 - (…
If we assume the question is to compare the functions in the table, for \( x = 0,1,2,3,4 \), \( f(x)>m(x) \). If we were to solve \( f(x)=m(x) \), \( x =-\frac{14}{11}\)
-
lesson 5 summary knowing the rule that defines a function can be very u…
For \( f(100) \), the result is \( 510 \); for \( m(10) \), the result is \( -2 \)
-
the function $y = f(x)$ is graphed below. what is the average rate of c…
To determine the average rate of change of the function \( f(x) \) on the interval \( 2 \leq x \leq 8 \), we use the formula for the average rate of change: \[ \text{Average Rate …
-
sketch the graph of the quadratic function and the axis of symmetry. st…
The vertex is \((2, 0)\). The equation of the axis of symmetry is \( x = 2 \).
-
5.3: function notation and graphing technology the function b is define…
s: 1. \( B(6)=\boldsymbol{119} \), \( B(2.75)=\boldsymbol{67} \), \( B(1.482)=\boldsymbol{46.712} \) 2. For \( B(x) = 93 \), \( x=\boldsymbol{4.375} \); for \( B(x)=42.1 \), \( x=…
-
graph the inequality. $y \\geq -2x + 2$
1. Draw the solid line \( y=-2x + 2 \) (passing through \( (0,2) \) and \( (1,0) \)). 2. Shade the region above the line \( y = - 2x+2 \).
-
solve the absolute value equation for x. write your answer in inequalit…
\( -6 < x < 6 \)
-
find $(f \\circ g)(x)$ and $(g \\circ f)(x)$. $f(x) = |x|$, $g(x) = 15x…
\((f \circ g)(x)=\boldsymbol{|15x - 8|}\) \((g \circ f)(x)=\boldsymbol{15|x| - 8}\)
-
(5) $3\\frac{23}{24} + 8\\frac{7}{36} =$ (6) $3\\frac{9}{20} + 5\\frac{…
\( 3\frac{23}{24}+8\frac{7}{36}=12\frac{11}{72} \) \( 3\frac{9}{20}+5\frac{17}{40}=8\frac{7}{8} \)
-
3) $\frac{21}{2}$ = 4) $\frac{77}{8}$ = 5) $\frac{20}{8}$ =
3) $\frac{21}{2}=10.5$ (or $10\frac{1}{2}$) 4) $\frac{77}{8}=9.625$ (or $9\frac{5}{8}$) 5) $\frac{20}{8}=2.5$ (or $2\frac{1}{2}$)
-
6) \\(\\frac{58}{6}=\\) 7) \\(\\frac{22}{6}=\\) 8) \\(\\frac{3}{2}\\)
6) $\boldsymbol{9\frac{2}{3}}$ (or $\boldsymbol{\frac{29}{3}}$) 7) $\boldsymbol{-3\frac{2}{3}}$ (or $\boldsymbol{-\frac{11}{3}}$) 8) $\boldsymbol{1\frac{1}{2}}$ (or $\boldsymbol{1…
-
equations in slope-intercept form identify the slope and y-intercept of…
1. $m=2$, $b=1$ 2. $m=\frac{1}{3}$, $b=-2$ 3. $m=-\frac{2}{3}$, $b=1$ 4. $m=-2$, $b=-3$ 5. $m=\frac{2}{3}$, $b=2$ 6. $m=5$, $b=-15$ 7. $m=-\frac{6}{7}$, $b=\frac{24}{7}$, $x$-inte…
-
section 4.5 find all the real zeros of 20. ( x^4 - 9x^2 + 4x + 12 = 0 )…
s: 20. Real zeros: \(x = -3\), \(x = -1\), \(x = 2\) (with multiplicity 2) 21. Real zeros: \(x = -2\), \(x = 2\), \(x = 5\)
-
what is the slope of this line? simplify your answer and write it as a …
\(\frac{3}{5}\)
-
find the slope of the line that passes through (10, 4) and (8, 7). simp…
\(-\frac{3}{2}\)
-
graph the equation. $y = 3\\vert x - 2\\vert + 3$
To graph \(y = 3|x - 2|+3\): 1. Plot the vertex \((2,3)\). 2. For \(x\geq2\), use the line \(y = 3x - 3\) (plot points like \((3,6)\), \((4,9)\) and draw the line through \((2,3)\…
-
use the discriminant to determine the number and types of solutions of …
one real solution