Which function will start at the y-axis at (0, 7)?y = 7x
y = x + 7
y = x - 7
y = x + 5

Answers

Answer 1
Answer: TO figure out, we need to plug in x=0 and then check if y = 7.

And the answer is B, y = x + 7because at x=0, we have y = 0 + 7 = 7, which matches the given point (0,7)
Answer 2
Answer: The second equation ( y = x + 7 ) because in the form y= mx + c..... The y-
intercept is c

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2. Simplify the product using FOIL. (2x – 7)(5x + 5)

dan painted 3/4 of a wall using 1/4 of a can of paint. how many walls can he paint using one can of paint?

Answers

Using 1 can of paint 3 walls can be painted.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Dan painted 3/4 of a wall using 1/4 of a can of paint.

So, 1/4 can used = 3/4 of wall

Then, in one can the amount of wall painted

= 3/4 x 4/1

= 3 walls.

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3/4         x
 ÷     =   ÷
1/4        1

(4)  1/4x = 3/4  (4)

1x=3

final answer: dan can paint 3 walls

Three fourths of a number decreased by nine is at least forty-two. As an inequality.

Answers

Answer

x ≥ 68


Explanation

let that number be x.

(3/4) of x = (3/4) × x

                = 3x/4

Decrease 3x/4 by 9,

3x/4 - 9

This expression is at least 42,

∴ 3x/4 - 9  ≥ 42

   3x - 36 ≥ 168

    3x ≥ 168 + 36

    3x ≥ 204

      x ≥ 68


(3x/4) - 9 > 42

that > should be underlined to get the "or equal" in there

What number can be subtracted from both the numerator and the denominator of this fraction to produce the fraction on the right? 34/53 -?=1/2

Answers

(34-x)/(53-x)= (1)/(2) \ \ \ \Leftrightarrow\ \ \ 53-x=2(34-x)\ \ \wedge\ \ \ x \neq 53\n \n53-x=68-2x\n \n-x+2x=68-53\n \nx=15\n \ncheck\ result:\n \n (34-15)/(53-15) = (19)/(38) =(1)/(2)

Verify the identity sec(beta) - 1 / cos(beta) = sec(beta)

Answers

(sec(\beta)-1)/(1-cos(\beta))=sec(\beta)

we know that

sec(\beta)=(1)/(cos(\beta))

then, lets replace it

((1)/(cos(\beta))-1)/(1-cos(\beta))=(1)/(cos(\beta))

multiple each member by cos(\beta)

(1-cos(\beta))/(1-cos(\beta))=1

simplifying

1=1

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side. By simplifying the expression step by step and using trigonometric identities, we can show that the given equation is true.

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side.

  1. Start by finding the common denominator of the fractions on the left side, which is cos(beta).
  2. The expression becomes (sec(beta) - 1)/cos(beta).
  3. Next, simplify the numerator: sec(beta) - 1 = (1/cos(beta)) - 1 = (1 - cos(beta))/cos(beta).
  4. Substituting this back into the original expression, we have (1 - cos(beta))/cos(beta) / cos(beta).
  5. Simplify further by multiplying the numerator and denominator by cos(beta) to get (1 - cos(beta))/(cos^2(beta)).
  6. Using the identity sec^2(beta) = 1 + tan^2(beta), we rewrite cos^2(beta) = 1 - sin^2(beta) as 1/(1 - sin^2(beta)).
  7. Therefore, (1 - cos(beta))/(cos^2(beta)) = (1 - cos(beta))/(1 - sin^2(beta)) = sec(beta).

Thus, we have verified that sec(beta) - 1 / cos(beta) = sec(beta).

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Rick rents a car from a company that charges him $25 per day plus 10 cents per mile driven. Which expression can represent the amount he owed on a recent rental?a.) 25x + 0.1y
b.) 251.x
c.) 25.1xy
d.) 25.1 + 35y

Answers

Let x be the number of days and y represent miles driven.

Since it costs 25 per day, you multiply 25 by x.
25x

10 cents (otherwise known as .1 dollars) per mile, multiply .1 times y. Now add the two.
.1y

25x+.1y

The answer is a.) 25x + 0.1y.

What is true of the function g(x) = –2x2 + 5?

Answers

Answer:

c

Step-by-step explanation:

The variable x represents the independent variable.

The function has the following properties:
The graph is a parabola curving downwards.
The vertex is at (0,5).
The axis of symmetry is the y-axis.
The domain is all read number.
The range is all numbers less than or equal to 5.