17 POINTS. Find the x and y intercepts and show work please.

It’s number 2. y=x^4+2x^2-1

Answer:

D. The rider is closest to the ground when he is 25 ft from the left side of the ride.

Step-by-step explanation:

The vertex of x-coordinate represents the distance from the from the origin of the pendulum, which is the closest to the ground when he is 25 ft away from 0.

Hope this will helpful.

Thank you.

integers, polynomials and whole numbers

Answer:  [tex]\angle{B}[/tex]

Step-by-step explanation:

We know that if two triangles are congruent , then their corresponding sides and angles are congruent (by CPCTC).

[CPCTC is the acronym use for the property of congruent triangles that says that corresponding parts of two  congruent triangles are congruent]

Given : ΔABC  ≅  ΔMNO

Then , [tex]\angle{A}[/tex] corresponds [tex]\angle{M}[/tex] [First letter]

[tex]\angle{B}[/tex] corresponds [tex]\angle{N}[/tex] [Middle letter]

[tex]\angle{C[/tex] corresponds [tex]\angle{O}[/tex] [last letter]

Then , by CPCTC, we have

[tex]\angle{B}\cong\angle{N}[/tex]

Hence, angle B is the corresponding angle which is congruent to angle N.

To find the difference between the larger of x1 and x2 and the smaller of y1 and y2, you first identify these respective values using max and min functions. Then, simply subtract the smaller value from the larger one.

To solve this problem, we first identify the larger value between x1 and x2, and the smaller value between y1 and y2. We can do this by using the 'max' function for the variables x1 and x2 and the 'min' function for y1 and y2. Once we have identified these values, we then compute the difference between the larger of x1 and x2 and the smaller of y1 and y2. This concept is based on comparison operations in mathematics.

Here is how it would look like in a programming context:

int larger = Math.max(x1, x2);

int smaller = Math.min(y1, y2);

int difference = larger - smaller;

where 'difference' is the answer you are looking for.

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To write this in standard form, you need to eliminate the fraction in the coefficient of variable x. You can do this by multiplying 8 to the two sides of the equation:

8(y) = 8[(-5/8)x + 3]

8y = -5x + 24

Transpose the variable x to the other side:

5x + 8y = 24        

The correct answer is that the other components equal 12% of the milk.

To solve this problem, one must understand that the total percentage of all components in milk must add up to 100%. Given that 88% of milk is water, the remaining percentage will be the sum of all other components in the milk.

To find the percentage of the other components, subtract the percentage of water from the total percentage:

Total percentage of milk = 100%

Percentage of water in milk = 88%

Percentage of other components = Total percentage of milk - Percentage of water in milk

Percentage of other components = 100% - 88%

Percentage of other components = 12%

Therefore, the other components in the milk make up 12% of the milk.

Complete question:- If 88% of milk is water, what percent do the other components equal?

Answer:

Option A. 68.4 square units.

Step-by-step explanation:

Since sides ED = EF = 13 units

So the given triangle is an isosceles triangle and in an isosceles triangle EFD, perpendicular drawn from E to DF, will be perpendicular bisector of DF.

Moreover, to this perpendicular bisector to DF will be the height of the triangle.

Now Area of a triangle of [tex]\frac{1}{2}[/tex] × base × height.

Sin 63 =  [tex]\frac{Height}{Hypotenuse}[/tex] =  [tex]\frac{h}{13}[/tex]

h = 13 sin 63 = 13 ( 0.891) = 11.583 units

Cos 63 =  [tex]\frac{Base}{Hypotenuse}[/tex] =  [tex]\frac{Base}{13}[/tex]

Base = 13 cos 63 = 13 × (0.454)

                            = 5.90 units

Since DF = 2 × base = 2 × 5.90

                                 = 11.80 units

Now area of EDF =  [tex]\frac{1}{2}[/tex] × 11.80 × 11.583

                             = 68.86 ≈ 68.40 square units.

Option A. 68.4 square units.

Answer:

z = -0.5

Step-by-step explanation:

Using exponent rule:

[tex]x^a = x^b[/tex] then a = b

Given the equation:

[tex]25^{z+2} = 125[/tex]

We can write 25 and 125 as:

[tex]25 = 5 \cdot 5 = 5^2[/tex]

[tex]125 = 5 \cdot 5 \cdot 5 = 5^3[/tex]

then;

[tex]5^{2(z+2)}= 5^3[/tex]

Apply the rule:

[tex]2(z+2) = 3[/tex]

using distributive property [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

[tex]2z+4 = 3[/tex]

Subtract 4 from both sides we have;

[tex]2z = -1[/tex]

Divide both sides by 2 we have;

z = -0.5

Therefore, the solution for the given equation is, z = -0.5

For this case we must write the numbers from highest to lowest.

We observe that the numbers are written in exponential notation.

Therefore, by rewriting we have:

Brand A:

[tex] 4.48 * 10 ^ 4 = 44,800
[/tex]

Brand B:

[tex] 3.84 * 10 ^ 7 = 38,400,000
[/tex]

Brand C:

[tex] 6.4 * 10 ^ 6 = 6,400,000
[/tex]

Brand D:

[tex] 1.50 * 10 ^ 7 = 15,000,000
[/tex]

Ordering from highest to lowest we have:

[tex] 3.84 * 10 ^ 7 = 38,400,000

1.50 * 10 ^ 7 = 15,000,000

6.4 * 10 ^ 6 = 6,400,000

4.48 * 10 ^ 4 = 44,800
[/tex]

Answer:

The order of these brands from most to least popular is:

Brand B

Brand D

Brand C

Brand A

Answer:

7 on k-12

Step-by-step explanation:

7(w+1)7w+77w+77w+7−7w7217=======5(2w−3)+110w−15+110w−1410w−14−7w3w−143wwDistribute on each side.Simplify the right side.Subtract 7w from each side.Combine like terms.Add 14 to each side.Divide each side by 3.

For this case we must simplify the following expression:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}[/tex]

Simplifying the numerator, dividing all the terms by 4, we have:

[tex]x ^ 2-8x + 12[/tex]

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

[tex]-6-2 = -8\\-6 * -2 = 12[/tex]

So, we have to:

[tex]x ^ 2-8x + 12 = (x-6) (x-2)[/tex]

Simplifying the denominator:

We rewrite -17x as -18x + x:

[tex]3x ^ 2-18x + x-6[/tex]

We factor the highest common denominator of each group:

[tex]3x (x-6) +1 (x-6)[/tex]

We factor the polynomial by factoring the highest common denominator (x-6):

[tex](x-6) (3x + 1)[/tex]

So, we have to:

[tex]3x ^ 2-17x-6 = (x-6) (3x + 1)[/tex]

Substituting in the original expression we have:

[tex]\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}[/tex]

ANswer:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}[/tex]

The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.

The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3

Answer:

71

Step-by-step explanation:

The required solution of the given inequality 2x < 8 is x < 4.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

The given  inequality is

2x < 8

According to given question we have

Write inequality

2x < 8

Divide both sides by 2 we get,

x < 4

Therefore, the required solution of the given inequality 2x < 8 is x < 4.

Learn more details about inequality here:

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To find the town's population in 4 years with an initial population of 6500 and a 4% annual growth rate, we use the exponential growth formula, resulting in an estimated population of approximately 7609.

The population of a town is 6500 and is increasing at a rate of 4% per year. To calculate the town's population in 4 years, we will use the formula for exponential growth:

P(t) = P0(1 + r)^t

Where:

P(t) is the future population

P0 is the initial population

r is the growth rate (as a decimal)

t is the number of years

Step-by-step calculation:

Convert the growth rate from a percentage to a decimal: r = 4% = 0.04

Use the formula with t = 4 years, P0 = 6500, and r = 0.04:

P(4) = 6500(1 + 0.04)⁴

Calculate P(4) = 6500 * 1.04⁴

Approximate the future population after 4 years.

By performing the calculation, the town's population in 4 years will be approximately 7609.