what is the intersection points of f(x)=2x+7 and g(x)=x^2-1

Flower cut for a bouquet by James =[tex] 1\frac{1}{4} [/tex]

Flower cut for a bouquet by Gwen=[tex] 1\frac{2}{4} [/tex]

Flower cut for a bouquet by James and Gwen is the sum of flowers cut by both.

Flower cut for a bouquet by James and Gwen=[tex] 1\frac{1}{4} +1\frac{2}{4} =(1+1)+(\frac{1}{4} +\frac{2}{4} =(2)+\frac{3}{4} =2\frac{3}{4} [/tex]

Flower cut for a bouquet by James and Gwen =[tex] 2\frac{3}{4} [/tex]

The final algebraic expressions are: [tex]\frac{1}{2} w - \frac{3}{5} x[/tex] and [tex]\frac{1}{30} yz[/tex]

Sure, let's break down each part of your question step-by-step to translate them into algebraic expressions.

Three-fifths x subtracted from 4 times one-eighth w

Let's identify the components first:

Now, write the expression for "three-fifths x subtracted from 4 times one-eighth w":

[tex]\frac{4}{8} w - \frac{3}{5} x[/tex]

Simplifying [tex]\frac{4}{8} w[/tex] to [tex]\frac{1}{2} w[/tex], the algebraic expression becomes:

[tex]\frac{1}{2} w - \frac{3}{5} x[/tex]

60% of the product of one-twelfth y and two-thirds z

Let's identify the components first:

First, calculate the product:

[tex]\frac{1}{12} y \times \frac{2}{3} z = \frac{2}{36} yz = \frac{1}{18} yz[/tex]

Now, we need "60% of that product":

60% can be written as [tex]0.60[/tex], so the expression becomes:

[tex]0.60 \times \frac{1}{18} yz = \frac{3}{90} yz = \frac{1}{30} yz[/tex]

So, the algebraic expression for "60% of the product of one-twelfth y and two-thirds z" is:

[tex]\frac{1}{30} yz[/tex]

Answer:

9

Step-by-step explanation:

Answer:x+2<1x<1-2x<-1-1 does not satisfy the inequality because though-1 is lesser than 0 but not lesser than

Here's what the equation would look like:

30(50) + 0.03(4596)

1500 + 137.88

Paige earned $1637.88.

Answer:

Paige earned $1637.88.

Step-by-step explanation:

i did it enginuity

This question falls under the combinatorial mathematics branch. Due to the complex nature of the problem which involves permutations and combinations, it's necessary to use a systematic approach or a computer algorithm to find the total number of scoring sequences that keeps the game 'relatively close'. Hence, the actual numerical answer would require a stronger background in combinatorics.

This question belongs to the subject of combinatorial mathematics, particularly involving permutations and combinations. In this scenario, 'relatively close' is defined as the number of goals scored by the two teams never differing by more than two. The total number of goals scored in the game is twelve.

Let's denote the two teams as Team A and Team B. The game can start in three ways: either Team A scores twice, Team B scores twice, or each team scores once. After that, at any point, the next goal can either maintain the score within the 'relatively close' range of two goals or equalize the score.

Determining the total number of scoring sequences under these conditions requires generating a tree diagram and counting all the possible paths, subject to the condition that the absolute difference between the number of goals for the two teams does not exceed two at any stage. Due to the combinatorial complexity, this task could be difficult without using a systematic approach or computer algorithm.

Therefore, to actually answer this question, one would require a stronger background in combinatorics, and most likely the assistance of programming or mathematics software to execute a brute force count or implement a more advanced mathematical solution.

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Answer:

312.5

Step-by-step explanation:

i wil get my cookie

Answer:

C. 17.9

Step-by-step explanation:

Formula: 1/4 π x d

d = diameter

d = 2r

1/4 π  x  10 = 10/4 π

Add the 2 non-curve sides

5 + 5 = 10

10/4  x  (3.14 = π)  x  10

= 17.9

I hope this helps! :)

Answer:

[tex]y= 5x-7[/tex]

Step-by-step explanation:

Using slope-intercept form:

The equation of line is given by:

[tex]y=mx+b[/tex]                    .....[1]

where,

m is the slope of the line

b is the y-intercept.

As per the statement:

The points (3, 8) and (2, 3) fall on a particular line.

Using slope(m) formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the given points we have;

[tex]m = \frac{3-8}{2-3}=\frac{-5}{-1}=5[/tex]

⇒m = 5

Put m = 5 in [1] we have;

[tex]y=5x+b[/tex]

Substitute the point (3, 8) we have;

8 = 5(3)+b

8 = 15+b

Subtract 15 from both sides we have;

[tex]-7 = b[/tex]

or

b = -7

Then we have;

[tex]y= 5x-7[/tex]

Therefore, the equation of line in slope intercept form is, [tex]y= 5x-7[/tex]

Answer: Its age is expressed as [tex]9.217\times 10^7[/tex]

Step-by-step explanation:

Since we have given that

Age of dinosaur fossil = 92170000 years old

We need to write in scientific notation with the highest level of precision.

Since we know that Scientific notation means put the decimal just after unit digit and for all remaining digit there is to the power of 10.

So, it becomes,

[tex]92170000=9.217\times 10^7[/tex]

Hence, its age is expressed as [tex]9.217\times 10^7[/tex]

Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Here given that,

Eleven less than [tex]7[/tex] times a number is at least [tex]2[/tex].

Let the number be [tex]x[/tex]. Construct the inequality

[tex]7x - 11 \geq 2[/tex]

Now add [tex]11[/tex] to both sides.

[tex]7x\geq 2+11\\7x\geq 13[/tex]

Now, divide by [tex]7[/tex] both sides, we get

[tex]x\geq \frac{13}{7}[/tex].

Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].

To know more about inequality

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