Solve Each of the following equations:

|5x|=3

Answer:

A. 1.5 s; 42 ft

Step-by-step explanation:

1.5 sec and will reach a height of 42 feet

that is the vertex

for y=ax^2+bx+c

the x value of teh vertex is  

the y value is found by subsituting the x value of the vertex for x

so

h=-16t^2+48t+6

a=-16

b=48

c=6

x value of vertex is  

subsituting it for x we get

it reaches the max height of 42ft at 1.5 seconds

Answer:

1. y=18

2. x=5

3. y=2

Step-by-step explanation:

y=2x

1.

As you have x, substitute (replace) x for 9 to find y.

2×9=18 (We times 2 by 9 because, in algebra, when a number is next to a letter, it means to times).

So, y=18

2.

As we know that y=10, do the same thing and substitute.

10=2x

Isolate x by dividing:

10÷2=5

So, x=5

3.

Substitute x:

2×1=2

So, y=2

Hope this helps :)

Answer:

1. irrational (it's pi. pi goes on forever.)

2. irrational (the ... shows that the number goes on forever.)

3. rational (it is a regular integer)

4. rational (it would be negative 3, an integer.)

5. real, irrational (square root 6 goes on forever, like every non-perfect square root)

6. real, rational, integer, natural, whole (regular counting number)

7. real, rational, integer, natural, whole (regular counting number, 4)

8. real, rational (the .11111... shows the number is a repeating, non terminating number, therefore it is rational and real.)

brainliest is very much appreciated!

Answer:

B

Step-by-step explanation:

Constant of proportionality can be calculated by two point slope formula, slope=(y2-y1)/(x2-x1)=(64-40)/(40-25)=24/15=8/5=1.6

Answer:

-1

Step-by-step explanation:

[3-4(-1)^4]^3

=>(3-4)^3

=>(-1)^3

=>-1

Answer From Gauth Math

Answer:

-1

Step-by-step explanation:

[tex][3-4*(3-4)^4]^3[/tex]        

[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]

Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.

Answer:

Step-by-step explanation:

Take example of 5/4.

Reciprocal= 4/5

5/4>4/5

so reciprocal of a no. may be greater than or equal to the original no.

9514 1404 393

Answer:

Step-by-step explanation:

Let r, c, h represent the numbers of meals eaten in a restaurant, car, and at home, respectively. The problem statement tells us of the relations ...

  r + c + h = 193

  -r + c + h = 15

  r + 0c -h = 30

Add the last two equations:

  (-r +c +h) +(r -h) = (15) +(30)

  c = 45

Add the first two equations:

  (r + c + h) +(-r + c + h) = (193) +(15)

  2c +2h = 208

  h = 104 -c = 59 . . . . solve for h, substitute for c

The last equation can be used to find r.

  r = 30 +h = 30 +59 = 89

89 meals are eaten in a restaurant; 45 meals in a car; and 59 at home.

Answer:

point M is the Orthocenter because it's in the middle of all the orthogonal axes.

Orthocenter describes point M.

The orthocenter of a triangle exists at the intersection of the triangle's three altitudes. It comprises several essential properties and relations with other regions of the triangle, including its circumcenter, incenter, area, and more.

There exists no direct formula to compute the orthocenter of the triangle. It lies inside for an acute and outside for an obtuse triangle. Altitudes exist nothing but the perpendicular line ( AD, BE, and CF ) from one side of the triangle ( either AB or BC or CA ) to the opposing vertex.

The orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other.

To learn more about orthocenter refer to:

https://brainly.com/question/7447171

#SPJ2

Answer:

$198

Step-by-step explanation:

Basically what I did was how long is 4:30 - 10:00 pm (5 hours and 30 minutes)

and multiplied that by your hourly rate. So 5 × 9 = 45, 9 ÷ 2 = 4.5, 45 + 4.5 = 49.5, 49.5 × 4 = 198. And since you don't clock out and this is your gross payment then that is the final answer

[tex]\\ \sf\dashrightarrow x^3-y^3+x^2+y^2+3[/tex]

[tex]\\ \sf\dashrightarrow (-2)^3-(1)^3+(-2)^2+(1)^2+3[/tex]

[tex]\\ \sf\dashrightarrow -8-1+4+1+3[/tex]

[tex]\\ \sf\dashrightarrow -9+8[/tex]

[tex]\\ \sf\dashrightarrow -1[/tex]

Answer: -1

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

x = -2

y = 1

Given expression

x³ - y³ + x² + y² + 3

Substitute values into the expression

=(-2)³ - (1)³ + (-2)² + (1)² + 3

Simplify exponents

=-8 - 1 + 4 + 1 + 3

Simplify by simple operation (addition/subtraction)

=-9 + 4 + 1 + 3

=-5 + 1 + 3

=-4 + 3

=[tex]\boxed {-1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

[tex]\huge\mathsf\green{ANSWER}:—[/tex]

The coefficients are:-

-4,-6

Answer:

-4,-6

Step-by-step explanation:

coefficient is an integer that is multiplied with the variable of a single term or the terms of a polynomial

Answer:

C. b2 – 4ac = 0

Step-by-step explanation:

Answer:

a = 3, b = 8, c = 14

Step-by-step explanation:

First, we can organize this, putting lower values first.

2, 3, 3, 5, 9, 9, 11, 12

a , b , c somewhere there

Given this information, one thing we can look at first is the mode. The mode is 3, so there must be more 3s than any other number. Currently, there are 2 3s and 2 9s, so there must be at least one more 3 and no more 9s to make that true. Therefore, a, b, or c is 3. Therefore, we have

2, 3, 3, 3, 5, 9, 9, 11, 12

2 of a, b, c somewhere in there

Next, the median is 8. In our current state, the median is 5. There are 9 numbers, with 11 total including the 2 remaining values. Because there will be an odd amount of values, the median must be a number on the list. Therefore, our list is

2, 3, 3, 3, 5, 8, 9, 9, 11, 12

1 of a, b, c somewhere in there

There are 4 numbers above the median and 5 numbers below right now. To balance this out, there must be another number above the median. As a consequence, the remaining value must be greater than 8.

Finally, we know that the range is 12, so maximum - minimum = 12. Because the remaining number must be greater than 8, the minimum number is 2, no matter what. Therefore,

maximum - 2 = 12

add 2 to both sides to isolate maximum

maximum = 14

There is no 14 currently on the list, so the remaining value must be 14.

Our a, b, and c are as follows, in order from smallest to largest:

3, 8, 14

Answer:

C) [tex]\frac{2z+15}{6x-12y}[/tex]

E) [tex]\frac{7d+5}{15d^2+14d+3}[/tex]

F) [tex]\frac{-7a-b}{6b-4a}[/tex]

Step-by-step explanation:

C)

One is given the following equation

[tex]\frac{z+1}{x-2y}-\frac{2z-3}{2x-4y}+\frac{z}{3x-6y}[/tex]

In order to simplify fractions, one must convert the fractions to a common denominator. The common denominator is the least common multiple between the given denominators. Please note that the denominator is the number under the fraction bar of a fraction. In this case, the least common multiple of the denominators is ([tex]6x-12y[/tex]). Multiply the numerator and denominator of each fraction by the respective value in order to convert the fraction's denominator to the least common multiple,

[tex]\frac{z+1}{x-2y}-\frac{2z-3}{2x-4y}+\frac{z}{3x-6y}[/tex]

[tex]\frac{z+1}{x-2y}*\frac{6}{6}-\frac{2z-3}{2x-4y}*\frac{3}{3}+\frac{z}{3x-6y}*\frac{2}{2}[/tex]

Simplify,

[tex]\frac{z+1}{x-2y}*\frac{6}{6}-\frac{2z-3}{2x-4y}*\frac{3}{3}+\frac{z}{3x-6y}*\frac{2}{2}[/tex]

[tex]\frac{6z+6}{6x-12y}-\frac{6z-9}{6x-12y}+\frac{2z}{6x-12y}[/tex]

[tex]\frac{(6z+6)-(6z-9)+(2z)}{6x-12y}[/tex]

[tex]\frac{6z+6-6z+9+2z}{6x-12y}[/tex]

[tex]\frac{2z+15}{6x-12y}[/tex]

E)

In this case, one is given the problem that is as follows:

[tex]\frac{2}{3d+1}-\frac{1}{5d+3}[/tex]

Use a similar strategy to solve this problem as used in part (c). Please note that in this case, the least common multiple of the two denominators is the product of the two denominators. In other words, the following value: ([tex](3d+1)(5d+3)[/tex])

[tex]\frac{2}{3d+1}-\frac{1}{5d+3}[/tex]

[tex]\frac{2}{3d+1}*\frac{5d+3}{5d+3}-\frac{1}{5d+3}*\frac{3d+1}{3d+1}[/tex]

Simplify,

[tex]\frac{2}{3d+1}*\frac{5d+3}{5d+3}-\frac{1}{5d+3}*\frac{3d+1}{3d+1}[/tex]

[tex]\frac{2(5d+3)}{(3d+1)(5d+3)}-\frac{1(3d+1)}{(5d+3)(3d+1)}[/tex]

[tex]\frac{10d+6}{(3d+1)(5d+3)}-\frac{3d+1}{(5d+3)(3d+1)}[/tex]

[tex]\frac{(10d+6)-(3d+1)}{(3d+1)(5d+3)}[/tex]

[tex]\frac{10d+6-3d-1}{(3d+1)(5d+3)}[/tex]

[tex]\frac{7d+5}{(3d+1)(5d+3)}[/tex]

[tex]\frac{7d+5}{15d^2+14d+3}[/tex]

F)

The final problem one is given is the following:

[tex]\frac{3a}{2a-3b}-\frac{a+b}{6b-4a}[/tex]

For this problem, one can use the same strategy to solve it as used in parts (c) and (e). The least common multiple of the two denominators is ([tex]6b-4a[/tex]). Multiply the first fraction by a certain value to attain this denomaintor,

[tex]\frac{3a}{2a-3b}-\frac{a+b}{6b-4a}[/tex]

[tex]\frac{3a}{2a-3b}*\frac{-2}{-2}-\frac{a+b}{6b-4a}[/tex]

Simplify,

[tex]\frac{3a}{2a-3b}*\frac{-2}{-2}-\frac{a+b}{6b-4a}[/tex]

[tex]\frac{-6a}{6b-4a}-\frac{a+b}{6b-4a}[/tex]

[tex]\frac{(-6a)-(a+b)}{6b-4a}[/tex]

[tex]\frac{-6a-a-b}{6b-4a}[/tex]

[tex]\frac{-7a-b}{6b-4a}[/tex]

Answer:

9

Step-by-step explanation:

This is a right triangle.  We can use the Pythagorean theorem to determine the missing side.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 12 ^2 = 15^2

a^2 +144 =225

a^2 = 225-144

a^2 = 81

Taking the square root of each side

a = 9

Answer:

9

Step-by-step explanation:

Because the triangle is a right triangle we can use the Pythagorean Theorem to solve for the missing side.

Pythagorean Theorem: a² + b² = c²

where

a = short leg

b = long leg

c = hypotenuse ( longest side )

we are given the hypotenuse and long leg and need to find the short leg

given hypotenuse (c) = 15

given long leg (b) = 12

short leg (a) = ?

to find the short leg plug in the known values into the Pythagorean Theorem and solve for a

a² + b² = c²

b = 12 and c = 15

a² + 12² = 15²

solve for a

a² + 12² = 15²

apply exponents

a² + 144 = 225

subtract 144 from both sides

a² = 81

take the square root of both sides

√a² = √81

a = 9

That's the solution to that question

Answer:

1320 yds

Step-by-step explanation:

1 mile = 1760 yds

3/4 mile * 1760 yds/ 1 mile

1320 yds

Answer:

1 mile = 1720 yard

______ ________

0.75 x

cross multiply and solve for x

1320 yards is the answer

good luck in the future..

Answer:

Dimensions are 12 , 5

Step-by-step explanation:

Area of rectangular mural = length * width

length * width = 60 square feet

(x + 10)(x + 3) = 60

Use FOIL method

x*x + x*3 + 10*x + 10*3 = 60

x² + 3x + 10x + 30 = 60      {Combine like terms}

x² + 13x + 30 - 60 = 0

x² + 13x - 30 = 0

Sum = 13

Product = -30

Factors =  15 , -2     (15+ (-2) = 13 ; 15*(-2) = -30)

x² + 15x - 2x - 30 =0  {Rewrite middle terms}

x(x + 15) - 2(x + 15) = 0

(x + 15)(x - 2) =0

x - 2 = 0             {Ignore (x +15) as dimensions wont have a negative value}

x = 2

x + 10 = 2 + 10 = 12

x + 3 = 2 + 3 = 5

Dimensions are 12 , 5

Answer:

[tex]{ \sf{ \underline{it \: is \: \frac{2}{7} }}}[/tex]

Step-by-step explanation:

[tex] = \frac{7}{7} - \frac{5}{7} \\ \\ = \frac{2}{7} [/tex]

Answer:

D

Step-by-step explanation:

f(x) < 25

x² - 11 < 25

x² < 36

-6 < x < 6

The equation of a line is:

[tex] \displaystyle \large{y - y_1 = m(x - x_1)}[/tex]

Since the line has to be parallel to line y = 4x+1. Hence, m = 4.

[tex] \displaystyle \large{y - y_1 = 4(x - x_1)}[/tex]

Given point is (1,1). Let this be the following:

[tex] \displaystyle \large{(x_1,y_1) = (1,1)}[/tex]

Substitute the point in.

[tex] \displaystyle \large{y - 1 = 4(x - 1)}[/tex]

Convert the equation in a slope-intercept form or function form.

First, distribute 4 in the expression.

[tex] \displaystyle \large{y - 1 = 4x - 4}[/tex]

Add 1 on both sides.

[tex] \displaystyle \large{y - 1 + 1 = 4x - 4 + 1} \\ \displaystyle \large{y = 4x - 3}[/tex]

Hence, the line that is parallel to y = 4x+1 and passes through (1,1) is y = 4x-3

Answer:

The value of x is 6

Step-by-step explanation:

Alrighty, the statement "Figure A maps to figure B with a scale factor of .25" means that figure A is 1/4 of figure b. So to figure out the length of x. All you need to do is multiply 1.5 by 4! That gives you your answer:  6

Answer:

1159

Step-by-step explanation:

She wants to read 1000 pages per week for five weeks.

So in total she wants to read 1000 * 5 = 5000 pages.

The first three weeks she read 894 pages per week.

So during the first three weeks she read a total of 894 * 3 = 2682 pages.

We want to find how many pages she must read per week for the last two weeks to reach her goal.

Goal: 5000 pages

Pages read so far: 2682

Weeks remaining: 2

To find how many pages she must read for the last two weeks we simply subtract the number of pages she read during the first 3 weeks (2682 ) by her goal ( 5000 )

5000 - 2682 = 2318

So she must read 2318 pages during the last 2 weeks.

If we want to find the amount of pages she must read per week during the last 2 weeks to reach her goal, we simply divide the amount of pages she must read during the last few weeks to reach her goal ( 2318 ) by the number of remaining weeks ( 2 )

2318 / 2 = 1159

So for the last two weeks she must average 1159 pages per week.

Answer:

1159 pages

Step-by-step explanation:

According to Briana's goal,

Pages to be read per week = 1000 pages

Number of weeks = 5

So, pages to be read in 5 weeks

= 5×1000 pages

= 5000 pages

But in reality,

Pages read in each first 3 weeks = 894 pages

So, total pages read in all first 3 weeks

= 3×894 pages

= 2682

Pages remained to be read to complete the goal

= Pages to be read in 5 weeks according to her goal - Pages actually read in all first 3 weeks

= 5000 pages - 2682 pages

= 2318 pages

So, pages to be read in each last 2 weeks

= 2318 pages/2

= 1159 pages

So, Briana will have to need to average 1159 pages over the last two weeks to complete her goal.

Answer: Pretty sure that it's y=-5/3x+8

Step-by-step explanation: Since the slope-intercept form is y=mx+b with b as the y-intercept and m as the slope. b would be 8 since that's where the line intercepts the y-axis and the slope is -5/3 (negative bc the line is slanted down)

Answer:

y = - [tex]\frac{8}{5}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (5, 0 ) ← 2 points on the line

m = [tex]\frac{0-8}{5-0}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]

The line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = - [tex]\frac{8}{5}[/tex] x + 8 ← equation of line

Answer:

None, they are not similar.

You can tell by trying to match ratios with others.

55:42:36

(I put them least to greatest order because triangles cannot really like change only one sides' value, so it makes it visually easier to comprehend.

8:7:5

I can't see any possible way to relate these two ratios together.

The 5 cannot go into 36 anyhow, and like the 8 and 55. The 7 can be multiplied by 6 to get 42, but 5 and 8 cannot reach their own numbers.

Step-by-step explanation:

I shall accept every question from your profile >:)

Answer:

5, 12, 13

Step-by-step explanation:

Pythagoras theorem ⇒ Perpendicular² + Base² = Hypotenuse²

5² + 12² = 13²

25 + 144 = 169

Thus 5, 12, 13 is a Pythagorean triple.

Answer:

-0.5 > -7/11

Step-by-step explanation:

-7/11 = -0.636

-0.5>0.6

Answer: 83 degrees

Step-by-step explanation:

(16^2 + 8^2 - 17^2)/(2)(16)(8) = 83