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3 years ago

CAN YALL PLEASE HELP ME ❗️❗️❗️PLEASEEE

Mathematics

1 answer:

Dovator [93]3 years ago

6 0

Answer:

1) intersection of both lines is the solution: (-3, 1)

2) y = -1/6x + 1 will produce a perpendicular line and intersect at only one point (slopes of 6 and -1/6 are opposite and reciprocal, thereby producing perpendicular lines)

3) 'b' can be any value except 1

Step-by-step explanation:

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.John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account.

Crank

Answer:

The required inequality is $40-6b\leq 10$ .

Jhon can buy at most 5 books.

Step-by-step explanation:

Consider the provided information.

Part(A)

Let b represent the number of books John buys.

He wants at least $10 in his savings account which means if we subtract the cost of books from $40 we have at least $10 left.

$40-6b\leq 10$

The required inequality is $40-6b\leq 10$ .

Part(B)

$40-6b\leq 10$

$-6b\leq 10-40$

$b \leq\frac{30}{6}$

$b\leq 5$

Part(C): Jhon can buy at most 5 books.

3 0

3 years ago

Corrine bought a coffee and a bagel for $5.35. If the coffee cost $1.95, how much did the bagel cost?

ki77a [65]

5.35 minus 1.95 = 3.40

6 0

3 years ago

Read 2 more answers

Can someone please help me with this? Thank youuu!

Lunna [17]

Answer:

1996

Step-by-step explanation:

To find the number of terms in an arithmetic sequence, divide the common difference into the difference between the last and first terms, and then add 1.

2008 - 13 = 1995 + 1 = 1996

3 0

3 years ago

Find the length of side x to the nearest tenth

navik [9.2K]

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

3 0

3 years ago

I have these factoring questions I need help with.

snow_lady [41]

$f(x)=4x^2+4x-3$

1. Determine y-intercept.

The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.

2. Determine the zeros.

Factor the polynomials first. $(2x-1)(2x+3)$ This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2

3. Determine the Axis of Symmetry

We can solve this by using the formula of $x=-\frac{b}{2a}$ However, I'll be solving the Axis of Symmetry with Calculus instead.

$f'(x)=2(4x^{2-1})+1(4x^{1-1})-0\\f'(x)=8x+4$

Then let f'(x) = 0 to find the Axis of Symmetry.

$8x+4=0\\8x=-4\\x=-\frac{4}{8}\\x=-\frac{1}{2}$

Therefore, the Axis of Symmetry is -1/2

4. Determine the vertex.

Substitute the value of Axis of Symmetry in f(x).

$f(x)=4(-\frac{1}{2})^2+4(-\frac{1}{2})-3\\f(x)=4(\frac{1}{4})-2-3\\f(x)=1-2-3\\f(x)=-4$

Therefore the vertex is at (-1/2, -4)

5. Does the vertex representing max-pont or min-point?

The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE.

7. Graph f(x)

Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).

--------------------------- End of Part 1 --------------------------------

2. Write the general form of Quadratic Function in standard form.

$y=ax^2+bx+c$

The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is.

For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.

3. Write in Factored Form

$y=(x+a)(x+b)\\y=(x-a)(x-b)\\y=(x+a)(x-b)\\y=(x-a)(x+b)$

These are factored forms with different types of operators.

The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)

4. Write in Vertex Form.

$y=a(x-h)^2+k$

The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.

The vertex is at (h,k) and the axis of symmetry is at x = h.

For example, $y=(x-2)^2+3$

The vertex would be at (2,3) and the axis of symmetry is x = 2.

3 0

3 years ago