Distributive Property to find (z-5)(z+3)

The number of the lions that live in the region investigated by the considered scientist is 80.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

Let we take:

x = number of lions the scientist located and tagged on thursday.

Then, we get:

x - 10 = number of lions the scientist located (and assumingly found that they're tagged) on friday,

4 = number of lions he found tagged on friday.

That means, x -10 is same number as 4

or, we get:

[tex]x - 10 = 4\\\text{Adding 10 on both the sides}\\\\x = 14[/tex]

That means, on thursday, the scientist located and tagged 14 lions.

Now, suppose that the region had 'y' number of lions,

Then, as per the data in the question,

one-fifth of y =  number of lions located by scientist on thursday

or, we get:
[tex]\dfrac{y}{5} = x\\\\\dfrac{y}{5} = 14\\\\\text{Multiplying 5 on both the sides}\\\\y = 80[/tex]

Thus, the number of lions that live in the region considered is 80

Learn more about forming equations here:

https://brainly.com/question/11938672

#SPJ1

The total number of lines is 70.

We have given that,

A scientist wants to estimate the number of lions living in a region.

On Thursday, he locates and tags some lions.

On Friday he returns and locates 10 less lions than he had on Thursday.

He notices that 4 of the lions are tagged

The scientist works out an estimate for the total number of lions living in the region.

we have to determine the no of lines in the length.

on Thursday no.of lines=x

on friday=(x-10)=4

x-10=4

add like terms

Like terms are terms whose variables and their exponents such as the 2 in x^2 are the same.

x=10+4

x=14

No.of total lions =5th of (no. of tagged on Thursday.)

=5(14)

=70

Therefore the total number of lines is 70.

To learn more about the word problem visit:

https://brainly.com/question/13818690#SPJ3

Answer:

(5,-1)

Step-by-step explanation:

rotate the point

So it can be shown as:

[tex]\sf \dfrac{read \ books}{total \ books \ in \ list}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{12}[/tex]

on simplifying

[tex]\hookrightarrow \sf \dfrac{1}{3}[/tex]

So, option 1 is correct.

First one

Let's find

fraction:-

Cancel by 4

Hence verified

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

[tex]y=2^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

[tex]y=2(5)^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

[tex]y=(5)^x+2[/tex]

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

Learn more about range of the function here;

https://brainly.com/question/2264373

Answer:

D ) y = 5^x + 2

Step-by-step explanation:

Here ya go ladies and gentlemen

Answer:

Θ ≈ 98.5° , 261.5°

Step-by-step explanation:

using the identity

cosΘ = [tex]\frac{1}{sec0}[/tex] , then

cosΘ = [tex]\frac{1}{-6.743}[/tex] ≈ - 0.1483

since cosΘ < 0 then Θ is in 2nd and 3rd quadrants

Θ = [tex]cos^{-1}[/tex] (- 0.1483) ≈ 98.5° ← in 2nd quadrant

related acute angle = 180° - 98.5° = 81.5° , then

Θ = 180° + 81.5° = 261.5° ← in 3rd quadrant

Answer: 0.8

Step-by-step explanation: where the events are independent you multiply p(A) by p(B)

Answer:

151 inches

Step-by-step explanation:

Answer:

26/52 or 1/2

Step-by-step explanation:

there's 52 cards in a deck 26 of them are red 26 of them are black

A percentage is a way to describe a part of a whole.  The most improbable simulation for this coin is heads are 9.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The most improbable simulation for this coin for heads is the frequency of heads coming up out of 20 which is far from the estimated frequency. Since out of these 20 times 75% of the times the head will come up. Therefore, the number of times the head will come up can be written as,

[tex]75\%\ of\ 20\\\\= \dfrac{75}{100} \times 20\\\\= 15[/tex]

Now it is estimated that at least 15 times out of 20, the head will come up. Thus, the most improbable simulation for this coin is heads are 9.

Learn more about Percentages:

https://brainly.com/question/6972121

Answer:

A coin is biased to display heads 75% of the time. It is tossed 20 times, and the outcomes are recorded. The most improbable simulation for this coin is

9 heads.

Step-by-step explanation:

Answer:

69

6+6 = 12

and

12 + 12 24

24 + 24 48

48 + 12 = 69

[tex]~~~~~2x^2 -3 =0\\\\\implies 2x^2 = 3\\\\\implies x^2 =\dfrac 32\\\\\implies x = \pm\sqrt{\dfrac 32 }[/tex]

Answer:

A. 8

Step-by-step explanation:

When finding the radius of a circle given area we have to remember the following formulas

[tex]A=\pi *r^{2}[/tex]   and    [tex]r^2=\frac{A}{\pi }[/tex]   or    [tex]r=\sqrt{\frac{A}{\pi } }[/tex]

So using either  [tex]r^2=\frac{A}{\pi }[/tex]   or    [tex]r=\sqrt{\frac{A}{\pi } }[/tex]  we fill out the following

[tex]r^2=\frac{64\pi }{\pi }[/tex]    [tex]r=\sqrt{\frac{64\pi }{\pi } }[/tex] both would equal 8  

The image below explains how we get 8  

Answer:

31 Centimeters

Step-by-step explanation:

Since a square has 4 equal sides, each side will be the same in measurement. Therefore, we take our total (124 centimeters) and divide it into 4.

124 / 4 = 31

Answer:

I=$48

t=2 years

r=8%

Principal=(I×100)/(t×r)

($48×100)/(2×8)

$4800/16

$300

Answer:

45%

Step-by-step explanation:

In Tanvi's simulation, landing on a white section represents a chocolate with a caramel filling. Tanvi records 20 trials, and the spinner lands on at least 1 white section in 9 of them. So, the probability that at least 1 of the chocolates has a caramel filling is

9

20

Convert

9

20

to a percent. Write an equivalent fraction with 100 as the denominator.

9

20

=

95

205

=

45

100

Based on Tanvi's results, the probability that at least 1 of the chocolates has a caramel filling is 45%.

A system of equations has no solution. if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The first equation is given as:

y = 8x + 7

The equations in the system would have different constant values if the system of equations had no solution.

y=8x+b

Where:

b is a variable that is not equal to 7.

The equation whose standard form is y=ax+b has no solution. Only equation 2 satisfies the generalized form.

Hence.if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

To learn more about the system of two equations refer to the link;

https://brainly.com/question/21620502

Answer:

B

Step-by-step explanation:

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

2y = 16x +14  

y = 8x – 7

y = –8x + 7

2y = −16x − 14

Answer:

A. 75 in³

Step-by-step explanation:

[tex]volume = \frac{1}{3} \times \pi \: {r}^{2} \: h = \frac{1}{3} \times \pi \times { 3}^{2} \times 8 = 75.4[/tex]

Check the picture below.

Answer:

The answer is C. The frequency is 15 more than expected.

Step-by-step explanation:

A dice has 1-6. There are 3 odd numbers and 3 even numbers. So a 50% chance of landing an even number. Since you rolled 30 times and got 18 even then more than half of 30 times.

Answer:

an = 30000 * 2^(n-1)

Step-by-step explanation:

The explicit rule of Mr. Blue 's salary

is an = 30000 * 2^(n-1)

How to determine the explicit

How to determine the explicitformula?

Mr. Blue's salary is a geometric sequence

with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1* r^(n-1)

This gives

an = 30000 * 2^(n-1)

Answer:

Step-by-step explanation:

8(y+4)=2(x+1)

divide by 8    y+4=1/4x+1/4   subtract 4    y=1/4x - 3 3/4   multiply by 4   y=1/4(x-15)

Answers:

Equation in standard form: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex]

Axis of Symmetry: x = -1

Vertex: (-1, -4)

Focus: (-1, -2)

Directrix: y = -6

Step-by-step explanation:

First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.

Our initial equation is:  [tex]8(y+4)=(x+1)^{2}[/tex]

In order to put our equation in standard form, we must isolate y, so that it is in terms of y.

First, we need to divide both sides by 8. When we do this, we get  [tex]y+4=\frac{(x+1)^{2} }{8}[/tex] or [tex]y+4=\frac{1}{8}(x+1)^{2}[/tex]. Then we need to subtract 4 from both sides to get:  [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex].

Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is [tex]y=a(x-h)+k[/tex] where [tex]a =\frac{1}{4p}[/tex].

The axis of symmetry is at [tex]x=h[/tex], in this case [tex]h=-1[/tex] so the axis of symmetry is [tex]x=-1[/tex].

The vertex is located at [tex](h, k)[/tex]. As we previously stated [tex]h=-1[/tex], but additionally, [tex]k=-4[/tex] making the vertex located at [tex](-1,-4)[/tex].

The focus is located at [tex](h, k+p)[/tex] and the directrix is located at [tex]y=k-p[/tex]. For this, we need to find p which we can find with the equation [tex]a =\frac{1}{4p}[/tex]. Substituting the value of “a” into the equation, we get [tex]\frac{1}{8} = \frac{1}{4p}[/tex]. We can cross-multiply to get the equation [tex]4p=8[/tex]. Dividing by 4 on both sides, we get [tex]p=2[/tex]. Now we can find the focus and directrix.

The focus is located at [tex](-1, [-4+2])[/tex] or [tex](-1,-2)[/tex] and the directrix is represented by the equation [tex]y=(-4-2)[/tex] or [tex]y=-6[/tex].

Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time

Answer:

-4x^3 is a monomial

2x + 3 is a binomial

5x^2 + 2x - 10 is a trinomial

Step-by-step explanation:

Monomial equations have one term, biomials have two terms, and trinomial have three.

Answer:

-4x^3 is Monomial

2x + 3 is binomial

5x^2 + 2x - 10 is trinomial

Step-by-step explanation:

Monomial means one term

Binomial is 2 terms

Trinomial is 3 terms

Hope this helps!

Answer:

[tex]y = -\frac{1}{2} x - 3[/tex]

Step-by-step explanation:

Answer:

f(x) = -1/2x - 3.

Step-by-step explanation:

The slope of the line = ((-7 - -5) / (8 - 4)

= -2/4

= -1/2.

y - y1 = m(x - x1)

m = -1/2, x1 = 8 and y = -7 so:

y - (-7) = -1/2(x - 8)

y + 7 = -1/2x + 4

y = -1/2x - 3.

Answer:

5 miles

Step-by-step explanation:

Step 1:  Convert yards to miles

[tex]1760\ yards = 1\ mile[/tex]

[tex]8800\ yards * \frac{1\ mile}{1760\ yards}[/tex]

[tex]5\ miles[/tex]

Answer: 5 miles

Answer: Option (3)

Step-by-step explanation:

Answer:

D) (14.10)

Step-by-step explanation:

2x -3y= -2

2. (x-y=4)2

(2x -3y= -2) 1

3. 2x-2y=8 (equation 1)

2x-3y =-2 (equation 2)

4.subtract equation 2 from equation 1 to eliminate x

5. y= 10

6. use either of the initial equations to find x eg.

x-y = 4

x- 10= 4

x = 10 + 4

x= 14

therefore x,y = 14,10

Answer:

WHAT NEEDS TO BE ANSWERED?????

Step-by-step explanation:

I CAN MAYBE HELP!!!

Answer:

Which DId you forgot to link it?

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To tell whether two triangles are similar or not, we can compare their side lengths or angle measures

in this case, only angle measure are given so will compare those:

m<F = m<I but this is not enough, we need to compare other angles as well

m<H is not equal to m<G

The sum of interior angles in a triangle is equal to 180

so the measure of angle J

100+55+J = 180

J = 25

The measure of angle E

100+35+E = 180

E = 45

Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns:  a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.