PLEASE HURRY

Solve the inequality and express your answer in interval notation.
x2 + 8x-7<0

Answer: There are 2 different unit rates here:

The increase of the tree's height per year

The increase of the tree's trunk per year

Rate of tree's height per year

= 33m / 150 years = 0.22m per year.

Rate of tree's trunk per year

= 3m / 150 years = 0.02m per year.

Given that the cyclist rides distances of 5 miles and 10 miles due to the wind, the equation that can be used to calculate the speed is therefore;

[tex]\frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

The distance the cyclist rides against the wind = 5 miles

The distance the cyclist rides with the wind = 10 miLes

Let t represent the time it took the cyclist in both directions, we have;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

Where;

v = The cyclist's average rate of speed

Which gives;

10 × (v - 4) = 5 × (v - 4)

10v - 40 = 5v - 20

5v = 20

v = 20 ÷ 5 = 5

The equation that can be used to calculate the cyclist's average rate of speed is therefore;

[tex]t = \frac{10}{v + 4} = \frac{5}{v - 4} [/tex]

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Answer: c+229

Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.

Answer:

See below ↓

Step-by-step explanation:

a. Graph shown Below.

b.

domain : x ≥ 0

range : f(x) ≥ 0

c.

rate of waves:

[tex]\sf f(x) = 3.13\sqrt{x}[/tex]

the wave is 10 m above the sea

[tex]\sf f(x) = 3.13\sqrt{10}[/tex]

[tex]\sf f(x) = 9.9 \ m/s[/tex]

The quarterly payment will be $1,127.86

Compound interest is the interest on a loan or deposit that  levied on both the first principal and the collected interest from past periods.

The amortization formula is ...

[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]

where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.

Here, we have

P=$16,231, r=0.051/4=0.01275, n=4·4=16.

So, the payment is ...

[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]  

[tex]A=$1127.86[/tex]

Hence the quarterly payment amount is $1,127.86.

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Answer:

  A. Numbers get smaller as you move to the left on the number line.

Step-by-step explanation:

A number line is typically drawn so that smaller, more negative numbers are on the left, and larger, more positive numbers are on the right.

__

  Numbers get smaller as you move to the left on the number line.

_____

Additional comment

Number lines can be drawn with any scale and range, depending on what they are intended to represent. For representation of small integers, it is not uncommon for a number line to range from -10 to +10. However, that is not the only possible range that might be used.

Any number line can be used to show number order (least to greatest ≡ left to right). A number line with a linear scale can also be used to show relative differences between numbers: a greater distance on the number line corresponds to a greater difference between numbers.

Answer:

Answer:

8 miles

Step-by-step explanation:

In an hour there is 60 minutes. 15 minutes x 4 = 60 minutes

So multiply 1 mile for 4 to get 4 miles

Matt would walk 4 miles in 1 hour

Mutiply 4 by 2 to get the distance Matt would walk in 2 hours which would be 8 miles.

Answer:

Matt would walk 8 miles in to hours.

Step-by-step explanation:

15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.

1 mile times 8 = 8 miles

Hope that helps!

Step-by-step explanation:

i) linear

ii)2

iii) 1

iv) 1

v) -1/5

First one can u type the options in the comment

Step-by-step explanation:

The distance from the radius to a point on the circle is equal to the radius. After using the distance formula, we get that the radius is 5.

Using the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2, we get that the equation is:

(x+5)^2 + (y-6)^2 = 25

Answer:

[tex]y=14x^2+x-3[/tex]

Step-by-step explanation:

If the zeros of the polynomial are -1/2 and 3/7 then:

[tex]\implies x=-\dfrac12[/tex]

Add 1/2 to both sides:

[tex]\implies x+\dfrac12=0[/tex]

Multiply both sides by 2:

[tex]\implies 2x+1=0[/tex]

[tex]\implies x=\dfrac37[/tex]

Subtract 3/7 from both sides:

[tex]\implies x-\dfrac37=0[/tex]

Multiply both sides by 7:

[tex]\implies 7x-3=0[/tex]

Therefore, the factored form of the polynomial is [tex]y=(2x+1)(7x-3)[/tex]

Expanding the brackets so that the polynomial is in standard form:

[tex]\implies y=14x^2-6x+7x-3[/tex]

[tex]\implies y=14x^2+x-3[/tex]

Answer:

2) [tex]\displaystyle -9a^3b^5[/tex]

1) [tex]\displaystyle \frac{x^8}{3}[/tex]

Step-by-step explanation:

2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]

1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]

The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.

I am joyous to assist you at any time.

Answer:

  10 years

Step-by-step explanation:

The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.

__

  I = Prt . . . interest earned on principal P at rate r for t years

  6000 = 1000·0.60·t . . . . use the given values for I, P, r

  6000/600 = t = 10 . . . . divide by the coefficient of t

$1000 will yield an interest of $6000 in 10 years.

Answer: (1)

Step-by-step explanation:

The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.

The length of the dilated line segment is 80 units.

Dilation is the increase or decrease in the size of a figure or object.

The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).

The distance between points (8, 32) and (56, 96) is:

[tex]Distance = \sqrt{(96-32)^2+(56-8)^2} =80\ units[/tex]

The length of the dilated line segment is 80 units.

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Answer:

1.b

2.c

3.a

4.a

5.d

Step-by-step explanation:

Answer:

Step-by-step explanation:

The salaries are the same. Only the fraction of how much is saved is quite different.

Equation

x ( 9/11 - 7/9) = 1584

Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.

The amount that is more is 1584.

Solution

9/11 = 0.8182

7/9 = 0.7778

9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404

Put that into the equation.

x(0.0404) = 1584                     Divide by 0.0404)

x(0.0404) = 1584/0.0404        

answer:x = 39204

Answer:

0.018

Step-by-step explanation

6,100,9a-mo,0.018

Answer:

3/7

Step-by-step explanation:

Because there are three yellow marbles and 7 marbles in all

Answer: Yes

Step-by-step explanation:

It can have angles of 90 degrees, 45 degrees, and 45 degrees.

Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

The Isosceles Right Triangle has one of the angles exactly 90 degrees and two sides, which are equal to each other.

Since the two sides are equal it makes the corresponding angle congruent.

An Isosceles triangle is a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

Hence, Yes, a triangle in which at least two sides are equal. Since the two legs of the triangle are equal, which makes the corresponding angles are equal to each other.

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70.80

...... ................ .......

Answer:

I think it's a hope this helps

The domain of the function C(m) = 0.05m + 20 is (0, ∞) and the range of the function C(m) = 0.05m + 20 is (20, ∞).

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function

[tex]\rm C(m) = 0.05\ m + 20[/tex]

The domain of the function is from zero to infinity because time can never be negative.

Then the range of the function will be

At m = 0, the value of C(m) will be

C(m) = 0.05(0) + 20

C(m) = 20

At m = ∞, the value of C(m) will be

C(m) = 0.05(∞) + 20

C(m) = ∞

Thus, the domain of the function is (0, ∞) and the range of the function is (20, ∞).

More about the linear system link is given below.

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Answer:

(y-3)(y + 3/2) = 0

y = 3 or y = -3/2

the diff

3 - ( - 3/2 )

3 + 3/2

6/2 + 3/2

9/2 or 4.5

Answer:

9/8

Step-by-step explanation:

3/4 2/3

LCM=12

9/8

Am not sure

Answer:

y = 0

Step-by-step explanation:

Midline = the horizontal center line