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Questions in mathematics

[Done] Mr. Walker gave his class the function [tex]f(x)=(x+3)(x+5)[/tex]. Four students made a claim about the function. * Jeremiah: The [tex]y[/tex]-intercept is not [tex](15,0)[/tex]. * Lindsay: The [tex]x[/tex]-intercepts are at [tex](-3,0)[/tex] and [tex](5,0)[/tex]. * Stephen: The vertex is at [tex](-4,-1)[/tex]. * Alexis: The midpoint between the [tex]x[/tex]-intercepts is at [tex](4,0)[/tex]. Which student's claim about the function is correct? The claim by $\square$ is correct.

[Done] Compare each pair of numbers using the symbol = (equals), < (less than), or > (greater than). $\frac{6}{10} \bigcirc 0.5$

[Done] Solve and check the following linear equation: [tex]7 x-(3 x-8)=44[/tex] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is [tex] \{9\} [/tex]. (Type an integer or a simplified fraction.) B. The solution set is [tex] \{x \mid x [/tex] is all real number[tex] \} [/tex]. C. The solution set is [tex] \varnothing [/tex].

[Done] Perform the indicated operations, and write the result in the form $a+b i$. (Simplify your answers completely.) $(4-3 i)+(5+4 i)$

[Done] Select the correct answer. A rectangular sheet of steel is being cut so that the length is four times the width. The perimeter of the sheet must be less than 100 inches. length $(l)$ width $(w)$ Which inequality can be used to find all possible lengths, $l$, of the steel sheet? $\frac{1}{2} l>100$ $10 l>100$ $5l<100$ $10 l<100$

[Done] Solve the addition problems below: 1) 30 + 2 = Ans: 2) 40 + 3 = Ans: 3) 40 + 1 = Ans: 4) 30 + 3 = Ans: 5) 20 + 1 = Ans: 6) 20 + 2 = Ans:

[Done] 18. The boys sold 95 fun-fair tickets. The girls sold 45 tickets. How many more tickets did the boys sell? 19. Rahul got 35 marks in one test and 40 marks in the other. How many marks did he get in all? 20. There are 37 red and 40 white roses in a flower shop. How many total roses are there? 21. Class II has 34 girls and 46 boys. How many children are there in all? 22. Raj is reading a book which has 48 pages. He has read 30 pages. How many pages are left to be read? 23. There were 36 fruits in one basket and 20 fruits in the second basket. How many fruits were there in the two baskets? 24. What number should be put in the box at the centre, so that the total is the same in all directions? | 3 | 2 | 7 | |---|---|---| | 8 | | 0 | | 1 | 6 | 5 |

[Done] Vedant's present age is four years less than Sheetal's age after seven years. The ratio of present ages of Sheetal and Shipra is 13:23 respectively. Shipra is 12 years younger than Nutan whose present age is 58 years. What is Vedant's present age? (1) 29 years (2) 23 years (3) 24 years (4) Can't be determined (5) None of these

[Done] Assume that when human resource managers are randomly selected, 44% say job applicants should follow up within two weeks. If 11 human resource managers are randomly selected, find the probability that fewer than 3 of them say job applicants should follow up within two weeks. The probability is ________. (Round to four decimal places as needed.)

[Done] Q4. Find the sum. (i) 200 + (-55) + (-77) + (-68) (ii) -3057 + 199 (iii) -275 + 329 (iv) (-5291) + (-3125) (v) 974 + (-74) (vi) -350 + 50 + 450