F (t) = 2t - 3 f (7)

Answers

Answer 1
Answer:

Answer:

11

Step-by-step explanation:

Here the given function, f(t)=2t-3 By substituting t = 7 in the above equation, We get, (7)=2\times 7-3  =14-3   ( By multiplication )

=11  ( By subtraction ) Hence, the value of f(7) is 11 for the given function.


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What is the ratio 7 to 12 as a fraction in simplest form?

Answers

The ratio 7 to 12 is 7/12  as a fraction in simplest form.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Are two fractions 7 and 12.

We know we can write a : b as a fraction a/b.

Therefore, The ratio of 7 to 12 is 7 : 12 which can be written as a fraction in 7/12.

learn more about proportion here :

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The ratio 7 to 12 is written as 7/12 as a fraction in its simplest form. It is not possible to simplify this fraction any further because 7 and 12 have no common factors.

The equation of line CD is (y − 3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD?

Answers

The\ slope-point\ form:y-y_0=m(x-x_0)\ where\ m\ is\ a\ slope\n\nIf\ k:y=m_1x+b_1\ and\ l:y=m_2x+b_2\n\nk\perp l\iff m_1m_2=-1\to m_2=-(1)/(m_1)\n\ntherefore\nthe\ slope\ of\ line\ CD:y-3=-2(x-4)\ is\ m_1=-2\ and\ the\ slope\nof\ a\ line\ prpendicular\ to\ CD\ is\ m_2=-(1)/(-2)=(1)/(2)

Answer: 1/2
(y-3)=-2(x-4)
(y-3)= -2x+8
y= -2x+11
perpendicular slopes are always reciprocals and opposite so the slope would be
slope=1/2

Given that 1 kilogram = 2.2 pounds, which statements are true?Two kilograms is equal to 4 pounds.

Three kilograms is greater than 6 pounds.

Four kilograms is less than 8 pounds.

Five kilograms is equal to 11 pounds.

Answers

Answer:

the second and fourth statements

Step-by-step explanation:

Identify the terms and like terms in the expressionQ + 4 + 2t - 9+ +
Which statements are true? Check all that apply
The expression contains seven terms.
The terms in the expression are a?, 4,21, 9, and .
The constants, 4 and 9, are like terms.
Like terms have the same variables to the same
powers
9, 21, and I are variables, so they are like terms.
2t and t are like terms.

Answers

Answer:

The answer is 2,3,4,6

Step-by-step explanation:

Here is proof! Hope you pass<33

Answer:

2nd option is correct as it has represented all the terms of the expression.

Arrange the parabolas represented by the equations in increasing order with respect to the y-values of their directrixes.1: y = -x2 + 3x + 8
2: y = 2x2 + 15x + 18
3: y = -x2 + 7x + 14
4: y = -2x2 + 9x + 7
5: y = x2 + 13x + 5
6: y = -x2 + 8x + 5
7: y = -2x2 + 4x + 8

Answers

(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k

nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix

I will only convert the 1st one fully, you should be able to do the rest

1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
 (-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)

k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5

basically completee the square with x and find P by force factoring a 4 out

2.  directix: y=-1.75

3. directix: y=1.5

4. directix: y=17.25

5. d: -37.5

6. d: 9.25

7. d=2.625

order them yourself

If 5 a = 45, ba= 1, then b=​

Answers

Answer:

1/9

Step-by-step explanation:

5a=45

divide it by 5 and a will =9

9b=1

divide 1 by 9

you get 1/9=b

therefore 9x1/9=1