What is the solution to this equation?

Answer:

the value of <BAC= 30° ...

Answer:

f(3) =6

Step-by-step explanation:

[tex]f(x) =x^2 -x\\\\f(3) = ?\\\\f(3) = (3)^2 -3\\f(3) = 9-3\\f(3) =6[/tex]

Answer:

[tex]\huge \boxed{\sf{f(3)=6}}[/tex]

Step-by-step explanation:

[tex]\sf f(x)=x^2-x[/tex]

For f(3), the input or x value is 3.

[tex]\sf f(3)=3^2-3[/tex]

Evaluate the expression.

[tex]\sf f(3)=9-3[/tex]

[tex]\sf f(3)=6[/tex]

Answer:

The answer is below

Step-by-step explanation:

An equation is a mathematical statement that shows the equality between two expressions.

From the table, the average weight of the hamster at birth is 2 grams. The average weight of gerbil at birth is 2/3 of that of hamster. Let g represents the weight of the gerbil at birth, hence the weight can be gotten by solving the equation:

2/3 of hamster weight at birth = Average weight of gerbil at birth

2/3 × 2 grams = g

g = 2/3 × 2 grams = 4/3 grams = 1.33 grams

The average weight of gerbil at birth = 1.33 grams

Answer:

Hey there!

3y=-4x+6

y=-4/3x+2

Thus, the slope is -4/3.

Hope this helps :)

Answer:

the slope is -4/3

Step-by-step explanation:

3y = -4x + 6

y=-4/3 x +6/3

y=-4/3 x+2

the slope is -4/3

Answer:

9 cups

Step-by-step explanation:

1 quart= 4 cups

4 quart= ? cups  (crisscross)

4 quart=16 cups

16-7= 9 cups

Answer:

The three greatest are -3, -4, -5

Step-by-step explanation:

7x < 2x - 13

Subtract 2x from each side

7x-2x < 2x-2x - 13

5x < -13

Divide by 5

5x/5 < - 13/5

x < - 2 3/5

Since x is an integer

-3 is the largest integer that fits the inequality

The three greatest are -3, -4, -5

Answer:

A(c+b)=d.

Ac+Ab=d.

Ac=d-Ab.

Divide through by A.

c=d-ab/a.

Option A.

Steps to solve:

a(c + b) = d

~Distribute

ac + ab = d

~Subtract ab to both sides

ac = d - ab

~Divide a to both sides

c = d-ab/a (Option 1)

Best of Luck!

Answer:

6 yards

Step-by-step explanation:

a³ = 216

a = ∛ 216

    = 6 yards

Answer:

6 yards

Step-by-step explanation:

The volume of a cube can be found using the following formula.

[tex]v= s^3[/tex]

We know the volume is 216 cubic yards, so we can substitute 216 yd³ in for v.

[tex]216 yd^3=s^3[/tex]

We want to find the side length. Therefore, we must isolate the variable, s, on one side of the equation.

s is being cubed. The inverse of cubed is the cube root. Take the cube root of both sides of the equation.

[tex]\sqrt[3]{216 yd^3}=\sqrt[3]{s^3}[/tex]

[tex]\sqrt[3]{216yd^3}=s[/tex]

[tex]6yd=6[/tex]

The side length of the cube is 6 yards.

Answer:

106

Step-by-step explanation:

Sksjwisjsjsoansnsan just to get points so give it a thanks thing ty

Answer:

x=11.5hours

Step-by-step explanation:

661.25miles÷57.5mph=11.5hours

Answer:

Numerical length of VX = 20

Step-by-step explanation:

Given that VX is a line segment which has a point W on it.

Kindly refer to the attached diagram for the given points.

We are also given the following dimensions:

[tex]VX=4x\\VW=3x\ and \\WX=5[/tex]

To find:

Numerical length of VX = ?

Solution:

As we can clearly see from the attached diagram:

[tex]VX = VW + WX[/tex]

Putting the given values:

[tex]4x=3x+5[/tex]

Now, let us solve for [tex]x[/tex] and then will put the value of [tex]x[/tex] back to find the numerical value of VX.

[tex]\Rightarrow 4x-3x=5\\\Rightarrow x =5[/tex]

Now,

[tex]VX = 4 \times x = 4\times 5 =\bold{20}[/tex]

Therefore, numerical value of VX is 20.

Answer:

addition property of equality

inverse property of multiplication

Step-by-step explanation:

7y − 15 = −29

Add 15 to each side using the addition property of equality

7y -15+15 = -29+15

7y = -14

Divide each side by 7 using the inverse property of multiplication

7y/7 = -14/7

y =2

Answer:

[tex]\Large \boxed{\mathrm{Addition \ Property \ of \ Equality}} \\\\\\ \Large \boxed{\mathrm{Inverse \ Property \ of \ Multiplication}}[/tex]

Step-by-step explanation:

[tex]\sf 7y-15=-29[/tex]

Using the additive property of equality, we add 15 to both sides of the equation.

[tex]\sf 7y-15+15=-29+15[/tex]

[tex]\sf 7y=-14[/tex]

Using the inverse property of multiplication, we divide both sides of the equation by 7.

[tex]\displaystyle \sf \frac{7y}{7} =\frac{-14}{7}[/tex]

[tex]\sf y = -2[/tex]

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

Answer:

first term a1 is -40.

Step-by-step explanation:

in an arithmetic series,

sum of first term terms (S10) = -20

Common difference (d) = 4

first term (a)= ?

number of terms (n)= 10

now,

S10 =( n÷2) [a1 +(n-1) d]

or, -20 = (10÷2) [a1 + (10-1) 4]

or, -20 = 5 ( a1 + 36)

or, -4 = a1 + 36

or, a1 = -40

[tex]\blue\star[/tex]s10 = -20

[tex]\blue\star[/tex]n = 10

[tex]\blue\star[/tex] an = -20

[tex] \green\star[/tex] solution

[tex] \green\star[/tex]s10 = n\2 [a+(n-1)d]

[tex] \green\star[/tex]-20 = 10a2[a+(10-1)4]

[tex] \green\star[/tex]-4 = a +36

[tex] \green\star[/tex]a1 = -40

[tex]\small\boxed{a = -40}[/tex]

Hope it helps.

Hope it helps

Answer:

y = 2x² + 3x - 9

Step-by-step explanation:

Given αβ = - [tex]\frac{9}{2}[/tex] = [tex]\frac{c}{a}[/tex]

and α + β = - [tex]\frac{3}{2}[/tex] = - [tex]\frac{b}{a}[/tex]

Then a = 2, b = 3 and c = - 9, thus

y = 2x² + 3x - 9

Answer:

  [tex]F(x)=\left\{\begin{array}{cl}15(40-x)&\text{if $0<x<40$}\\0&\text{if $40\le x\le65$}\\15(x-65)&\text{if $x>65$}\end{array}\right.[/tex]

Step-by-step explanation:

(a) For x below 40, the number of miles per hour below 40 is (40-x). Then the fine for that speed is 15(40 -x).

For x between limits, the fine is zero.

For x above 65, the number of miles per hour above 65 is (x-65). Then the fine for that speed is 15(x -65).

  [tex]F(x)=\left\{\begin{array}{cl}15(40-x)&\text{if $0<x<40$}\\0&\text{if $40\le x\le65$}\\15(x-65)&\text{if $x>65$}\end{array}\right.[/tex]

Answer:

-2

Step-by-step explanation:

-6-(-4)

-6+4

-2

Answer:

-2

Step-by-step explanation:

Why:

Answer:

5/8

Step-by-step explanation:

Find the rational number half way between 1/2 and 3/4

First add 1/2 and 3/4

1/2 + 3/4 = 2/4 + 3/4 = 5/4

Next, divide this sum by 2

5/4 divided by 2/1 = 5/4 * 1/2 = 5/8

5/8 is half from 1/2 and 3/4

1/2 < 5/8 > 3/4

Answer:

50th term = 157

Step-by-step explanation:

Explicit equation for the given table is,

y = 3x + 7

And recursive formula is,

Now = previous + 3

To find the 50th term explicit formula should be used because it will be very difficult to find all 50 terms with the use of recursive formula.

From explicit formula,

y = 3x + 7

y = 3(50) + 7

  = 157

Therefore, 50th term of the given table will be 157.

Answer:

B. Rational, not an integer

Answer:

1.999396

Step-by-step explanation:

square of 1.414=1.999396

square root of 1.999396=1.414

Answer:

  use your compass to copy the length to a new line

Step-by-step explanation:

To make a line segment that has the same length as another, set your compass width to the length of the one you want to copy, and use that to mark the length on the line where you want your copy.

Use a straightedge to draw a line longer than JK.

AD is congruent to JK.

Answer:

91267

Step-by-step explanation:

Answer:

Hey there!

A=[tex]0.5p\sqrt{4a^2-p^2}[/tex]

A=216

Hope this helps :)

Answer:

A = -11

C = 13

F = -15

J = 17

Step-by-step explanation:

Inductive reasoning is the use of observations to draw a conclusion.

The sequence of numbers in this problem is:

-3, 5, -7, 9, ...

A pattern is observed and that pattern is:

(n + 1) th term = |nth term| + 2 (with alternating negative signs)

for instance if (n+1)th term = 2nd term; nth term = 1st term

2nd term = |1st term| + 2

2nd term = |-3| + 2 = 5 (no negative sign since previous term had negative)

-3rd term = |5| + 2 = -7 (negative sign because the previous term was positive)

4th term = |-7| + 2 = 9 (no negative sign since previous term had negative)

-5th term (A)= |9| + 2 = - 11 (negative sign because the previous term was positive)

6th term (C) = |-11| + 2 = 13 (no negative sign since previous term had negative)

if you use the same sequence for F and J, you will get:

F = -15

J = 17

you should try them out to see if you will get the same solution.

Answer:

Step-by-step explanation:

Something

Answer:

Step-by-step explanation:

In a tent, there are nine boys.

There were five tents.

5 tents containing 9 boys can equal 45 boys.

(5 x 9 = 45)

In a cabin, there are seven boys.

There were four cabins.

4 cabins containing 7 boys can equal 28 boys.

(4 x 7 = 28)

Now, to find all the boys, add the numbers together.

28 boys with 45 boys will equal 73 boys.

Please check my answer for no one, not even me is right.

Good luck :)

Answer:

y = x² + 2x - 15

Step-by-step explanation:

Given the zeros are x = 3 and x = - 5 then the factors are (x - 3) and (x + 5)

The polynomial is then the product of its factors, thus

y = (x - 3)(x + 5) ← expand using FOIL

y = x² + 2x - 15

Answer:

see below (I hope this helps!)

Step-by-step explanation:

a) There are 20 girls and 16 boys so three different ways to write the ratio could be 20:16, 20 / 16 or, in verbal form, 20 to 16.

b) An equivalent ratio to 20:16 is 10:8, all we do to get this is divide the ratio by 2.

c) Since there are 16 boys and 20 girls, the ratio is 16:20 which simplifies to 4:5.

Answer:

Volume of the box = x^3 - 4x^2

Step-by-step explanation:

V = L × W × H

Where,

V = volume of the rectangular prism

L= Length

W = Width

H = Height

volume of the rectangular prism = length × width × height

Length = x

Width= length = x

Height = x - 4

V = L × W × H

= x * x * (x - 4)

= x^2 (x - 4)

= x^3 - 4x^2

V = x^3 - 4x^2

Volume of the box = x^3 - 4x^2