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3 years ago

Hello i need help please for my testt!

Mathematics

1 answer:

blsea [12.9K]3 years ago

8 0

Answer:

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Step-by-step explanation:

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Select all of the following that are quadratic equations.

taurus [48]

A,d,f!!!!!!++!!!+!!!!!!

4 0

4 years ago

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A total of 1 232 students have taken a course in Spanish, 879 have taken a course in French, and 114 have taken a course in Russ

ElenaW [278]

Answer:

$n(S\cap F \cap R)=7$

Step-by-step explanation:

The Universal Set, n(U)=2092

$n(S)=1232\\n(F)=879\\n(R)=114$

$n(S\cap R)=23\\n(S\cap F)=103\\n(F\cap R)=14$

Let the number who take all three subjects, $n(S\cap F \cap R)=x$

Note that in the Venn Diagram, we have subtracted $n(S\cap F \cap R)=x$ from each of the intersection of two sets.

The next step is to determine the number of students who study only each of the courses.

$n(S\:only)=1232-[103-x+x+23-x]=1106+x\\n(F\: only)=879-[103-x+x+14-x]=762+x\\n(R\:only)=114-[23-x+x+14-x]=77+x$

These values are substituted in the second Venn diagram

Adding up all the values

2092=[1106+x]+[103-x]+x+[23-x]+[762+x]+[14-x]+[77+x]

2092=2085+x

x=2092-2085

x=7

The number of students who have taken courses in all three subjects, $n(S\cap F \cap R)=7$

3 0

3 years ago

What is the inverse and restricted domain of the equation 8x^2-3

kari74 [83]

Answer: $\bold{y=\pm \dfrac{\sqrt{2(x+3)}}{4},\qquad x\neq -3}$

Step-by-step explanation:

y = 8x² - 3 (Restriction: none - x is All Real Numbers)

The inverse is when you swap the x's and y's and then solve for y

x = 8y² - 3 swapped the x and y

x + 3 = 8y² added 3 to both sides

$\dfrac{x+3}{8}=y^2$ divided both sides by 8

$\sqrt{\dfrac{x+3}{8}}=\sqrt{y^2}$ square rooted both sides

$\pm \sqrt{\dfrac{x+3}{8}}=y$ simplified

$\pm \sqrt{\dfrac{x+3}{8}\bigg(\dfrac{2}{2}\bigg)}=y$ rationalized the denominator

$\pm \sqrt{\dfrac{2(x+3)}{16}}=y$ simplified

$\pm \dfrac{\sqrt{2(x+3)}}{4}=y$ simplified

Restriction:

The radical (inside the square root sign) cannot be negative

→ 2(x + 3) ≥ 0

x + 3 ≥ 0 divided both sides by 2

x ≥ -3 subtracted 3 from both sides

4 0

3 years ago

What is the answer to this I really need the answer for my test 8/9+2/3+1/6

ElenaW [278]

The all go over 18 so put them all over 18
16/18+12/18+3/18=31/18

31/18 or 1.722222222........

8 0

3 years ago

Read 2 more answers

I really need answers asap please.

ale4655 [162]

We're told x=-5 and y=11 and asked to evaluate a few expressions. That just means substitute these values into the expressions and compute the exact numerical answer.

$4y-10x = 4(11) - 10(-5) = 44 + 50 = 94$

Answer: 94

x to the power of 3

$x^3 = (-5)^3 = -5 \times -5 \times -5 = -125$

Answer: -125

•6y to the power of 2

Probably means

$6y^2 = 6(11)^2 = 6(121) = 726$

Answer: 726

$5(3x+2y) = 5(3(-5) + 2(11)) = 5(-15 + 22) = 5(7) = 35$

Answer: 35

•(y-x) to the power of 2

$(y - x)^2 = (11 - -5)^2 = 16^2 = 256$

Answer: 256

6 0

3 years ago