In the following exercises, simplify.
515.
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- Practice: 2. Answer the questions for the quadratic function f(x) = x² + 8x+12 a. Does the parabola opens up or down? b. Find the equation of the axis of symmetry. c. Find the vertex. d. Find the x and y intercepts. e. Graph the function on the axis provided. -10 7arrow_forwardExercise 12.2. Let F be a field and n Є N. (1) For every subset S of F", show that I(S) := {f(x1, . ,xn) Є F[x1,...,xn] | f (a₁,, an) = 0, V(a1, ..., an) E S} is an ideal of the polynomial ring F[x1, ..., xn], called the vanishing ideal of S. (2) Given two subsets S and T of F", prove or disprove that I(SUT) = I(S)NI(T) · and I(SNT) = I(S) + I(T).arrow_forwardD2L Course Schedule × ⇒ Math 140 AC2 MT × G Google ☑ Untitled documen × G Google G square root sign ✗ adidas Samba OG X Math 140 AC2 MT X → C https://drive.google.com/file/d/1pXqJ_6k8OigXg6qML2lkxIM-bDwLhk5T/view 3. We're a little past the halfway point of the semester. I've been thinking about how we've been doing. I have noticed something interesting about the relationship between WAs and grades. I made a piecewise function to describe the situation. G(x) is the grade for someone who has completed x WAs. Use the function for parts a-c. (7.5 pts.) 20 for x=0 G(x)=15x+ 30 for 0arrow_forwardFor each of the following equations, a solution is given. Show whether the given solutionis correct by substituting the variable back into the equation. -9x = 18x = -2arrow_forwardA large mixing tank currently contains 200 gallons of water, into which 10 pounds of sugar have been mixed. A tap will open, pouring 10 gallons of water per minute into the tank at the same time sugar is poured into the tank at a rate of 3 pounds per minute. The concentration function has a vertical asymptote. Write the equation for the vertical asymptote. Does the vertical asymptote have any practical application in this problem? Why or why not?arrow_forward2 סוי vle.mathswatch.co.uk Queue | Oxf... X VIEWER XD... Submit a co... 18/28 Marks mplify 2a (a + 1) + 5(3a - 2) 2a+ 3 Answer + 5 البقاله بالهجه ..... W e r t y u # S £ יו 20 d f g harrow_forwardDraw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Click twice to plot each segment.Click a segment to delete it. 12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10xy12345678910-1-2-3-4-5-6-7-8-9-1012345678910-1-2-3-4-5-6-7-8-9-10xy Answer Attempt 1 out of 2 Slope of the Line:arrow_forwardD2L Course Schedule × zm MATH 140 AC O Math 140 AC2 MT X Home - Google Dix Untitled documen X APznzaZOmoEKtr X adidas Samba OG × ✓ Math 140 AC2 MT × | + C doc-08-9s-prod-00-apps-viewer.googleusercontent.com/viewer2/prod-00/pdf/4b40ij3n5ssib10rfbdvgd4hcOnkjh9f/0972m4636 vecpvn6ctclvph34kfeur7... Q Update: APznzaZOmoEKtnM4eg2YA5rwDV97bDw0GG39cSO6IEGFlaYSOS4iHO... 2 / 3 - 90% + | 2. We spent a lot of time working with linear functions and distinguishing them from nonlinear functions. For a-c, if the function is linear, find its equation. If it is not linear, explain why it's not linear. (7.5 pts.) a) The UPass is a great program for students in college. You pay $80 for unlimited ‘L' and bus rides for the entire semester. U(x) is the cost for x 'L' and bus rides in one semester. b) X g(x) -1 -1 -2 -3 2 5 0 1 1 3 c) 4. 3. 2 1- 6 -5 -4 -3 -2 -1 0 1 2 4 5 6 7 8 -1- -2arrow_forwardD2L Course Sched X | zm MATH 140 ✗ Math 140 AC2 × Untitled docun X APznzaZOmoE X adidas Samba × |_ Math 140 AC2 × Home - Google × b Home | bartleb × | + С doc-08-9s-prod-00-apps-viewer.googleusercontent.com/viewer2/prod-00/pdf/4b40ij3n5ssib10rfbdvgd4hc0nkjh9f/0972m4636 vecpvn6ctclvph34kfeur7... Q Update: III APznzaZOmoEKtnM4eg2YA5rwDV97bDw0GG39cSO6IEGFlaYSoS4iHO... MT Check In Pat 1 2 20 for x=0 G(x)=15+ 300arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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