MATHEMATICS HIGH SCHOOL

Pls help it’s 12 POINTS!!!

Answers

Answer 1

Answer:

Answer:

1=200

2=300

3=400

4=400

Step-by-step explanation:

Each year they get 100 more dollars. If you have any questions, just ask!

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What type of line is the graph of y = 7? (1 point)Vertical
Horizontal
Rising
Falling

Answers

The answer is option B "Horizontal." Using the formula solving slope you would see that the line is horizontal remember if it's vertical it's undefined so solving the graph it would make the line that's horizontal. You could also write the equation like this:

$y = 0x + 7$
$y = 7$
Graph wise creating a horizontal line.

Hope this helps!

so bc. given y=7 from this result x=0

so in this case this line will be Horizontal sure

Write 8 19/20 as a decimal.

Answers

Answer:

8.95

Step-by-step explanation:

Since 8 is a whole number it’s before the decimal. So,

To turn a fraction to a decimal just divide the top number by the bottom. So,

19/20 = 0.95

8 + 0.95 = 8.95

Therefore, the answer is 8.95

Answer:

8.95

Step-by-step explanation:

$8(19)/(20) = (179)/(20)$
179 ÷ 20 = 8.95

I hope this helps!

100POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

all of them involve y intercepts

f(x) means y
g(x) means y

y intercept is where the graph crosses the y axis or when x=0 so set x=0

f(x)
x=0 when y=-7.5
y int=-7.5

g(x)
x=0
set x=0
y=3^0-7
y=1-7
y=-6

f(x) yint=-7.5
g(x) yint=-6

A. y int of f(x) is less than yint of g(x)
-7.5<-6
true

B. this is oposite of A so this is wrong

C. this says that g(x) has no yint, false

D. they yints are eqla
-7.5=-6
false

answer is A

Answer:

f(x)

x=0 when y=-7.5

y int=-7.5

g(x)

x=0

set x=0

y=3^0-7

y=1-7

y=-6

f(x) yint=-7.5

g(x) yint=-6

A. y int of f(x) is less than yint of g(x)

-7.5<-6

true

B. this is oposite of A so this is wrong

C. this says that g(x) has no yint, false

D. the yints are equal

-7.5=-6

false

answer is A

13) v2 - 110 + 18 = 0
14) 5x7 - 12x +7 = 0
Solve by factoring

Answers

Answer:

see explanation

Step-by-step explanation:

(13)

v² - 11v + 18 = 0 ← in standard form

(v - 2)(v - 9) = 0 ← in factored form

Equate each factor to zero and solve for v

v - 2 = 0 ⇒ v = 2

v - 9 = 0 ⇒ v = 9

solutions are v = 2, v = 9

(14)

5x² - 12x + 7 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 7 = 35 and sum = - 12

The factors are - 5 and - 7

Use these factors to split the x- term

5x² - 5x - 7x + 7 = 0 ( factor the first/second and third/fourth terms )

5x(x - 1) - 7(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(5x - 7) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

5x - 7 = 0 ⇒ 5x = 7 ⇒ x = $(7)/(5)$

solutions are x = 1, x = $(7)/(5)$

What is the first derivative of r with respect to t (i.e., differentiate r with respect to t)? r = 5/(t2)Note: Use ^ to show exponents in your answer, so for example x2 = x^2. Also, type your equation answer without additional spaces.

Answers

Answer:

The first derivative of $r(t) = 5\cdot t^(-2)$ (r(t)=5*t^{-2}) with respect to t is $r'(t) = -10\cdot t^(-3)$ (r'(t) = -10*t^{-3}).

Step-by-step explanation:

Let be $r(t) = (5)/(t^(2))$ , which can be rewritten as $r(t) = 5\cdot t^(-2)$ . The rule of differentiation for a potential function multiplied by a constant is:

$(d)/(dt)(c \cdot t^(n)) = n\cdot c \cdot t^(n-1)$ , $\forall \,n\neq 0$

Then,

$r'(t) = (-2)\cdot 5\cdot t^(-3)$

$r'(t) = -10\cdot t^(-3)$ (r'(t) = -10*t^{-3})

The first derivative of $r(t) = 5\cdot t^(-2)$ (r(t)=5*t^{-2}) with respect to t is $r'(t) = -10\cdot t^(-3)$ (r'(t) = -10*t^{-3}).

Of the 8 students in the chess club, three will represent the club at an upcoming competition. How many different 3-person teams can be formed from the 8 students?

Answers

I think that this is a combination problem. From the given, the 8 students are taken 3 at a time. This can be solved through using the formula of combination which is C(n,r) = n!/(n-r)!r!. In this case, n is 8 while r is 3. Hence, upon substitution of the values, we have

C(8,3) = 8!/(8-3)!3!
C(8,3) = 56

There are 56 3-person teams that can be formed from the 8 students.

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