The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.

The simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b

Given,

The equation: - 4 (- 6 - b) = 1/3 (B + 16)

We have to simplify the equation and find B.

Lets simplify:

-4 ( - 6 - b) = 1/3 (B + 16)

Here,

(- 4 × - 6) - 4 × - b = 1/3 × B + 1/3 × 16

24 + 4b = B/3 + 16/3

24 + 4b = (16 + B) / 3

Multiply 3 to both sides:

(24 + 4b) × 3 = (16 + B) × 3 / 3

72 + 12b = 16 + B

Add -16 to both sides:

72 + 12b - 16 = 16 + B - 16

Then,

B = 72 + 12b - 16

B = 56 + 12b

That is, the simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b

Learn more about simplification here:

https://brainly.com/question/6592817

#SPJ1

Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.

The values for two different numerical variables are represented by dots in a scatter plot (also known as a scatter chart or scatter graph). Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, utilize scatter plots.

Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.

For an independent variable that lies outside the range of our data, we use function to forecast the value of the dependent variable. We extrapolate in this situation.

To learn more about scatter plots refer to:

https://brainly.com/question/6592115

#SPJ13

Answer:

Sample Answer: An interpolation has a result which lies within the scatterplot’s cluster of data points. An extrapolation lies outside the cluster. An interpolation is more reliable than an extrapolation.

Step-by-step explanation:

Answer:3.76 gigabytes

Step-by-step explanation:

You subtract the 5.00 by the 1.24

Based on the information illustrated, it should be noted that 6 × ✓3 .will be 36.

It should be noted that the information that's illustrated has to do with the square root of numbers. It should be noted that a square root simply means a number that when multiplied by itself will be able to give the original number that's given in the question.

Based on the information, the numbers will be illustrated thus:

6 × ✓36

It should be noted that ✓36 = 6

Therefore, 6 × ✓36

= 6 × 6

= 36

Therefore, the correct option is 36.

Note that the options aren't well written.

Learn more about numbers on:

brainly.com/question/148825

#SPJ1

The coordinates of the point of intersection is equal to (3, 5).

In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.

Next, we would solve the given equations simultaneously to determine the coordinates of the point of intersection as follows:

y = 1 - 2x

y = x - 5

Re-arranging the equation, we have:

y + 2x = 1

y - x = -5

Subtracting, we have:

3x = 6

x = 6/2

x = 3.

For y-coordinate, we have:

y + 2x = 1

y + 2(3) = 1

y + 6 = 1

y = 1 - 6

y = -5.

Read more on point of intersection here: https://brainly.com/question/13513373

#SPJ1

I don't know what the dropdown menus are, but Mike is half-correct. The opposite of a number is the number with the opposite sign, so the opposite of 5 is -5. But the absolute value of a number is its distance from zero on a number line, and distances can't be negative, so the absolute value of 5 is 5, not -5.

Given

Which of the following is NOT equivalent to the formula d=rt?

Procedure

A. d/r=t is equivalent d=rt

B. r=dt is not equivalent

C. d/t=r is equivalent d=rt

D. d/rt=1 is equivalent d=rt

The answer is option B. r=dt that is NOT equivalent to the formula d=rt

Answer:

1. you can ask directly or indirectly

Answer:

Answer is in fraction.--> 1/289.

Step-by-step explanation:

[tex]17^{-7} =17^{-7+5}=17^{-2} =\frac{1}{17^{2} } = \frac{1}{289}[/tex]

Answer:

Step-by-step explanation:

The one in blue

Answer:

its 3 because 4^-n=1/256

We move all terms to the left:

4^-n-(1/256)=0

We add all the numbers together, and all the variables

-n+4^-(+1/256)=0

We add all the numbers together, and all the variables

-1n-(+1/256)=0

We get rid of parentheses

-1n-1/256=0

We multiply all the terms by the denominator

-1n*256-1=0

We multiply elements

-256n-1=0

We move all terms containing n to the left, all other terms to the right

-256n=1

n=1/-256

n=-1/256

[tex]32^{\frac{1}{25}}\cdot 2^x ~~ = ~~8^{\frac{1}{4}}\implies (2^5)^{\frac{1}{25}}\cdot 2^x~~ = ~~(2^3)^{\frac{1}{4}}\implies 2^{\frac{5}{25}}\cdot 2^x~~ = ~~2^{\frac{3}{4}} \\\\\\ \stackrel{same~exponent}{\underset{same~base}{2^{\frac{5}{25}+x}~~ = ~~2^{\frac{3}{4}}}}\implies \cfrac{5}{25}+x~~ = ~~\cfrac{3}{4}\implies \cfrac{1}{5}+x~~ = ~~\cfrac{3}{4}[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{1}{5}+x \right)~~ = ~~20\left( \cfrac{3}{4} \right)}\implies 4+20x~~ = ~~15 \\\\\\ 20x=11\implies {\Large \begin{array}{llll} x=\cfrac{11}{20} \end{array}}[/tex]

Answer:

B

Step-by-step explanation:

Balance of Kevin after 1 quarter will be 1.0055(x)

Compound interest is interest that is calculated using both the starting amount and the interest that has accrued over time.

Interest is considered to be compounded quarterly if it is compounded four times each year.

If interest is compounded four times or quarterly each year, the formula for the amount at time t is as follows.

A = P( ( 1 + (r/4))⁴ⁿ

A = Accumulated amount

P= Principal amount

r = interest rate

n = time

Given that Kevin has x dollars in an account that pays 2.2% interest, compounds quarterly

∴ P = x

r = 2.2% = 2.2/100

To find balance after one quarter , i.e. time n = 1/4 year

⇒ Balance = accumulated amount  =$  x(1 + 2.2/400)¹  = $ 1.0055(x)

Therefore, Balance of Kevin after 1 quarter will be 1.0055(x)

To know more about compound interest, visit:

https://brainly.com/question/14295570

#SPJ13

A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC, measures of the right triangles are 35, 90 and 55.

A polygon with the three edges and three vertices is called a triangle. It is one of fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All the triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except when otherwise specified, this article discusses the triangles in Euclidean geometry, namely the Euclidean plane.

Which is the smallest angle, which is the right angle, and which is the third angle of the triangle are the three inner angles (A, B, C) of a right angled triangle.

sum of the interior angles of a triangle = 180

ratio 7:18:11

so

7+18+11 = 36

180 / 36 = 5

7 x 5 = 35

18 x 5 = 90

11 x 5 = 55

measures of the right triangles are 35, 90 and 55

To know more about angles visit: https://brainly.com/question/28451077

#SPJ9

Answer: y = -6x-2

Step-by-step explanation:

y=mx+b

-2=(-6)(0)+b

b= -2

y=-6x - 2

The algebraic equation and the original price is:

original price - discount = sales price

x - 27 = 89

x = 116

An algebraic equation is made up of two expressions that are made up of variables or numbers that are connected by an arithmetic operation.  

A discount reduces the price of a good or service. In order to determine the price of a good after the discount has been applied, subtract the amount of the discount from the original price of the item.

original price - discount = sales price

x - 27 = 89

Combine similar terms: x = 89 + 27

Add similar terms together: x = 116

To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

#SPJ1

it x/383

i myself i dont even knkw hownto do this brk i just want points so please dont listen to this try you hardest dont give up and keep looking for others but i just want sum piote bro i gotta finish my ezam too man so good luck tho.

A number line and expression show how to find the distance from 4 to 1 is: B. A number line from -5 to 5 and two points on 1 and 4.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to determine the difference between two numbers such as 4 and 1. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

In this context, we can reasonably infer and logically deduce that number line C shows the distance from 4 to 1.

Read more on number line here: brainly.com/question/17325155

#SPJ1

Answer:   0.483

Step-by-step explanation: add a zero and a point to the right f it

The counterexample for the conjecture If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit is: A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.

The term counterexample refers to an instance or example that makes the statement false. This is used in logic to check if a statement is true or not. Counter example tend to counter the statement being discussed with valid points.

The question wants to show the relationship that may exist between perimeter and area of a rectangle.

The counterexample provided the dimensions that gave the perimeter which is 40 but failed to give area of 1 square unit

Read more on  counterexample here: https://brainly.com/question/24881803

#SPJ1

Answer:

x = 37 , ∠ P = 17° , ∠ Q = 126° , ∠ R = 37°

Step-by-step explanation:

the sum of the 3 angles in Δ PQR = 180°

sum the 3 angles and equate to 180

x + x - 20 + 3x + 15 = 180

5x - 5 = 180 ( add 5 to both sides )

5x = 185 ( divide both sides by 5 )

x = 37

Then

∠ P = x - 20 = 37 - 20 = 17°

∠ Q = 3x + 15 = 3(37) + 15 = 111 + 15 = 126°

∠ R = x = 37°

Answer:

After 30 weeks me and my sister will have same amount of money

Step-by-step explanation:

let the week be x

then

60+7x = 120+5x

2x=60

x=30

Answer:

the top right graph

Step-by-step explanation:

I assume you mean the function is

f(x) = sqrt(x + 4) - 2

because for your function as you wrote it

f(x) = sqrt(x) + 4 - 2 = sqrt(x) + 2

none of the graphs apply.

to find the correct one we look at some specific points.

like x = 0, and when the square root will be 0 (x = -4).

normally we can see the right graph latest here already, but if not, then we have to pick a few more points.

so,

for x = 0 we get

sqrt(0 + 4) - 2 = 2 - 2 = 0

that means

f(0) = 0

now, when we look at the graphs, we see we are already finished. there is only one graph that goes through (0, 0).

the top right graph.

Answer: i is just a variable I believe so _ + 7 = 9

So i (<- the variable) would = 2

Answer:

Well, if we consider [tex]r[/tex] as y and [tex]q[/tex] as x.

Step-by-step explanation:

So, typically, a linear function is either represented using function notation

[tex]f(x)=mx+b[/tex]

Or in slope-intercept form

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

This question is oddly using the variables r and q in place of y and x. If we replace them to be y and x, it will be a linear equation (because the slope is constantly changing).

But, if you aren't allowed to replace r and q to be y and x, then it isn't a linear function.

The system of inequalities that models the situation is given as follows:

Before we build the inequalities, we have to consider that the variables of the system are given as follows:

Jeremy and his dad worked at least 85 combined hours last week, hence the first inequality is:

x + y ≥ 85.

They collected a total of more than $1000 by charging $20 per hour, hence the second inequality is:

20x + 20y ≥ 1000.

20(x + y) ≥ 1000.

The minimum number of hours that each can work is of 0, that is, they cannot work a negative number of hours, hence the constraints are:

The problem is incomplete, and it asks for the system of inequalities that models the situation.

More can be learned about a system of inequalities at https://brainly.com/question/11994104

#SPJ1

Answer: 3x^12

Step-by-step explanation:

66 / 22 = 3

We can add exponents when multiplying them.

-3 + 12 = 9

[tex]3 \sqrt{5} - 2 \sqrt{7} + \sqrt{9 \times 5} - \sqrt{4 \times 7} \\ = 3 \sqrt{5} - 2 \sqrt{7} + ( \sqrt{9} \times \sqrt{5} ) - ( \sqrt{4} \times \sqrt{7} ) \\ = 3 \sqrt{5} - 2 \sqrt{7} + 3 \sqrt{5} - 2 \sqrt{7} \\ = 3 \sqrt{5} + 3 \sqrt{5} - 2 \sqrt{7} - 2 \sqrt{7} \\ = 6 \sqrt{5} - 4 \sqrt{7} [/tex]

OPTION C IS THE ANSWER.

Answer:

6√5 - 4√7

Step-by-step explanation:

hope it helps!!