Select the products that are equivalent to -100.
1. -5(2)(-10)
2. -1(25)(4)
3. -4 (5)(5)
4. -2(25)(-2)
5. -1(-100)

Answer:

see below

Step-by-step explanation:

2x^2-3x+

Factor out 2

2( x^2 -3/2x)

Take the coefficient of x

-3/2

Divide by 2

-3/4

Square it

(-3/4) ^2 = 9/16

This is the number inside the square

2( x^2 -3/2x + 9/16)

Multiply by 2 since that is factored on the outside

9/16 *2 = 9/8

Add to the equation

2x^2-3x+9/8

Answer:

Step-by-step explanation:

To graph an exponential function f(x) = [tex]2^{x-1}[/tex],

Step - 1 :

Find the value of x that makes the exponent 0.

x - 1 = 0

x = 1

f(1) = 2⁰ = 1

Similarly, for other input values (x- values),

For x = 2,

f(2) = [tex]2^{2-1}[/tex]

     = 2¹

     = 2

For x = 3

f(3) = [tex]2^{3-1}[/tex]

     = 2²

     = 4

For x = 4

f(4) = [tex]2^{4-1}[/tex]  

     = 2³

     = 8

Therefore, table for input - output values will be,

x        1            2            3          4

f(x)     1            2            4          8

Answer:

:>

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The mad scientist needs one-third or 1/3 of the eyeball.

That is 1/3 of the eyeball.

Answer:

B

Step-by-step explanation:

To answer this question, set the equation equal to 100 and solve for x. Thus:

[tex]100=50(1.03)^x[/tex]

[tex]2=(1.03)^x[/tex]

[tex]x=\log_{1.03}2\approx23.45\approx23[/tex]

Therefore, 23 years after 2000, the population will reach 100 million.

Hence, our answer is B, at the year 2023.

Answer:

B

Step-by-step explanation:

Answer:

40% spent. 60% left.

Step-by-step explanation:

To find the percentage spent, divide the two values, then multiply by 100.

$32 / $80 = 0.40    0.40 x 100 = 40% spent.

To find the percentage of money left, subtract the two values.

$80 -$32 = $48

Then, divide the two values and multiply by 100.

$48 / $80 = 0.60   0.60 x 100 = 60% left.

Answer:

C

Step-by-step explanation:

........

Answer:

42

Step-by-step explanation:

Area= 1/2(bh)

Area=1/2(12)(7)

Area=1/2)(84)

Area=42

Answer: The average rate of change for an exponential function grows by equal factor per unit interval.

Step-by-step explanation:

The general exponential equation for growth is given by:-

[tex]y=Ab^x[/tex], where

A= initial value

b= Multiplicative growth rate

x = time period

For each value of x, the value of y increases by an equal value of multiplicative factor ( b).

For example: at x=0 , [tex]y=A[/tex]

at x=1, [tex]y=Ab[/tex]

at x= 2, [tex]y=Ab^2[/tex]

Hence, the average rate of change for an exponential function grows by equal factor per unit interval.

Answer:

D) 12,672 in^3

Step-by-step explanation:

V = LWH = 18 in * 16 in * 44 in = 12,672 in^3

Answer:

12,672 in3 I think

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The domain of a function is the minimum and maximum value of independent variable (x).

The domain of the function according to the given graph will be the starting point of the line of best fit to the end point of the line.

Trace the starting point and the end point to the x - axis.

If you do so, the starting point is 2 and the end point is 10.

The domain is therefore, 2< = x <= 10. The correct answer is A

Answer:

[tex]2(x + 4)(x - 5)[/tex]

Step-by-step explanation:

Given

[tex]2x^2 - 2x - 40[/tex]

Required

Factorize

[tex]2x^2 - 2x - 40[/tex]

Start by expanding the above expression

[tex]2x^2 - 10x + 8x- 40[/tex]

Then, split the expanded expression into two

[tex](2x^2 - 10x) + (8x- 40)[/tex]

Factorize the split expression:

[tex]2x(x - 5) + 8(x- 5)[/tex]

[tex](2x + 8)(x - 5)[/tex]

Expand the expression in the first bracket

[tex](2x + 2*4)(x - 5)[/tex]

Then take out common factor

[tex]2(x + 4)(x - 5)[/tex]

From the list of given options, option A is correct

Answer:

A

Step-by-step explanation:

I took the test.

Answer:

Step-by-step explanation:

Total number of cards = 48

Red cards/black cards = 1/1

(so, 24 each of read and black cards)

8 red cards are removed.

Now, there will be (24-8) number of cards left in the pack which equals to 16 cards.

So, now the number of red cards in the pack= 16

Number of black cards = 24

Ratio of red card/ black card

[tex] = \frac{16}{24} [/tex]

[tex] = \frac{2}{3} [/tex]

Hope this helps...

Good luck on your assignment...

Answer: parallel

Step-by-step explanation:  If two parallel planes are cut by a third plane, then the lines of intersection are parallel. Parallel lines are defined as lines that have only one point in common. Skew lines are parallel.

Answer:

Correct options are A and B.

Step-by-step explanation:

From the given graph it is clear that the given points lie on a parabola because they in U-shape.

We need to find the ranges of x-values such that there must be a root of the graph.

The point (-3,2) lies above the x-axis but point (-2,-2) lies below the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range -3 to -2.

Similarly, point (1,-1) lies below the x-axis but point (2,3) lies above the axis. It means when these points are connected by a curve then the curve intersects the x-axis

So, one root of the graph lies in the range 1 to 2.

Therefore, the correct options are A and B.

(i) AB and DC are parallel, so the lines containing these sides have the same slope.

The line containing AB has slope (2 - (-1))/(10 - 4) = 3/6 = 1/2.

Use the point-slope formula to find the equation of the line containing CD:

[tex]y-8=\dfrac12(x-12)\implies y=\dfrac x2+2\implies\boxed{2y=x+4}[/tex]

AP is perpendicular to both AB and CD, and perpendicular lines have slopes that are negative reciprocals of one another. This means the line containing AP has slope -1/(1/2) = -2. Using the point-slope formula again, the equation of the line containing AP is

[tex]y-(-1) = -2(x-4)\implies \boxed{y=-2x+7}[/tex]

(ii) D lies on the x axis, so its y-coordinate is 0. Find the x-coordinate by plugging y = 0 into the equation for the line containing CD:

[tex]2\cdot0=x+4\implies x=-4[/tex]

So D is the point (-4, 0).

P is the intersection of the lines containing CD and AP, so set them equal and solve for x and y :

[tex]y=\dfrac x2+2\text{ and }y=-2x+7[/tex]

[tex]\implies\dfrac x2+2=-2x+7\implies 5x=10\implies x=2[/tex]

[tex]\implies y=-2\cdot2+7\implies y=3[/tex]

So P is the point (2, 3).

(iii) For ASBC to be a parallelogram, we need to find the coordinates of S such that the line containing AS is parallel to the line containing BC, and the line containing SC is parallel to the line containing AB.

BC has slope (8 - 2)/(12 - 10) = 6/2 = 3. Then the line containing AS has equation

[tex]y-(-1)=3(x-4)\implies y=3x-13[/tex]

We already know AB has slope 1/2. Then the line containing SC has equation

[tex]y-8=\dfrac12(x-12)\implies y=\dfrac x2+2[/tex]

S is the intersection of these two lines:

[tex]3x-13=\dfrac x2+2\implies\dfrac{5x}2=15\implies5x=30\implies x=6[/tex]

[tex]\implies y=3\cdot6-13\implies y=5[/tex]

So S is the point (6, 5), and *not* (2, -7) as the answer key suggests. In fact, (2, -7) is located lower than the point A and slightly to the left; if you draw that point and connect it to the other three, there's no way to get a parallelogram.

(iv) Find the lengths of AB, CD, and AP. Then the area is (AB + CD)*AP/2.

[tex]AB=\sqrt{(4-10)^2+(-1-2)^2}=3\sqrt5[/tex]

[tex]CD=\sqrt{(12-(-4))^2+(8-0)^2}=8\sqrt5[/tex]

[tex]AP=\sqrt{(4-2)^2+(-1-3)^2}=2\sqrt5[/tex]

so the area is

[tex]\dfrac{(3\sqrt5+8\sqrt5)2\sqrt5}2=\boxed{55}[/tex]

Answer: [tex]x^2-17x+30=0[/tex]

Step-by-step explanation:

Let x = Time taken (in days) by Jean to do the job.

Then, Time taken by Kate to do the job = x-5

Then, together they will take time (t) as

 [tex]\dfrac{1}{t}=\dfrac{1}{x}+\dfrac{1}{x-5}[/tex]

[tex]=\dfrac{x-5+x}{x(x-5)}=\dfrac{2x-5}{x(x-5)}[/tex].

[tex]\Rightarrow\ t=\dfrac{x(x-5)}{2x-5}[/tex]

Since it is given that Kate and Jean paint a house together in 6 days.

i.e.

[tex]6=\dfrac{x(x-5)}{2x-5}\\\\\Rightarrow 6(2x-5)=x^2-5x\\\\\Rightarrow\ 12x-30=x^2-5x\\\\\Rightarrow\ x^2-5x-12x+30=0\\\\\Rightarrow\ x^2-17x+30=0[/tex]

So, the equation represents the time it takes Kate to paint the house by herself is [tex]x^2-17x+30=0[/tex] .

Answer:

x^2 − 7x − 30 = 0 

Step-by-step explanation:

Answer:

infinite solutions

Step-by-step explanation:

y=5-2x

4x+2y=10

Multiply the first equation by 2

2y = 10 -4x

Add 4x to each side

4x+2y = 10

This is identical to the second equation

This means they are the same line, so there are infinite solutions along the line

There are infinite answers

Answer:

34.05£

Step-by-step explanation:

cost of 4 pens=75 p

cost of 36 pens=75/4×36=675 p=6.75£

cost of 12 pencils=42 p

cost of 36 pencils=42/12 ×36=126 p=1.26£

cost of 6 rulers=1.10£

cost of 36 rulers=1.10/6 ×36=6.60£

cost of 36 pencil cases=54×36=1944 p=19.44 £

Total amount of money spent=6.75+1.26+6.60+19.44=34.05 £

Hey there! :)

Answer:

A = 9/16 in².

Step-by-step explanation:

Use the formula A = s² to solve for the area where s = 3/4 in:

A = (3/4)²

A = 9/16 in².

━━━━━━━☆☆━━━━━━━

▹ Answer

9/16 in²

▹ Step-by-Step Explanation

Square → 4 sides

All sides are equal in a square so →

s = a²

= 3/4²

= 9/16 in²

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

1). Y= x² -4x+6

Y = 3x-4

2) X= 5 and x= 2

3).

X= 5

Y= 11

X= 2

Y= 2

Step-by-step explanation:

1).

Y = (x-2)²+2

Y= x² -4x+4+2

Y= x² -4x+6

Y+4= 3x

Y = 3x-4

2).

Y = x² -4x+6

Y = 3x-4

x² -4x+6= 3x-4

X² -7x+10= 0

X²-5x-2x+10= 0

X(x-5)-2(x-5)= 0.

(X-5)(x-2)= 0

X= 5 and x= 2

3). substituting the value of x into the linear equation

Y = 3x-4

X= 5

Y= 3(5)-4

Y= 15-4

Y= 11

Y = 3x-4

X= 2

Y= 3(2)-4

Y= 6-4

Y= 2

Answer:

B. 141 ft.

Step-by-step explanation:

Just saw this.

Answer:

Leftmost box: Graph, because it has zero x intercepts

Middle box: Function f with a vertex at 2, 0

Rightmost box: g(x)=x^2+x-2

Answer:

g(x)=x^2+x-2

Step-by-step explanation:

Answer:

[tex]-\frac{7}{8}(-\frac{8}{7})x-\frac{3}{4}=20\left(-\frac{8}{7}\right)[/tex]

the last one

sorry for getting this wrong...............

Answer:

1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.

b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.

c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.

2. The answer is s = 1/2m + 2

3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.

4. 10r + 4 = 8 → 10r = 4 → r = 0.4

5. The variable r represents the rate she must increase her texting speed by per month.

6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".

Answer:

49.

Step-by-step explanation:

To solve, you can simply list the square numbers in order...

1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2.

1, 4, 9, 16, 25, 36, 49.

Hope this helps!

Seventh term of the sequence of square numbers is 49.

The square of a number is obtained by multiplying an integer by itself.

So we have numbers 1,2,3,4,5,6,7. Now, squaring these ,we get

First term =[tex]1^2=1[/tex]

Second term [tex]=2^2=4[/tex]

Third term[tex]=3^2=9[/tex]

Fourth term [tex]= 4^2=16[/tex]

Fifth term[tex]= 5^2=25[/tex]

Sixth term[tex]= 6^2=36[/tex]

Seventh term [tex]= 7^2=49[/tex]

The seventh term of the sequence of square numbers is 49.

Learn more:https://brainly.com/question/19337596

Answer:

Solution,

[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

-11/5x+-171/10

Step-by-step explanation: I believe its this answer unless you want it graphed

Answer: 241804367

Step-by-step explanation:

Answer:

p/100 * m

Step-by-step explanation:

The algebraic expression of p% of m is pm/100.

Expression is combination of numbers, fraction, symbols , coefficients, indeterminants or determinants. It shows a relationship between variables. It is mostly not found in equal to form.

We have been given p% of m and we have to form an expression of this.

To express this we have to just solve the percentage and because we donot have any number so will only write p/100 in place of p%.

p% of m=p/100*m

=pm/100

Hence the algebraic expression of p% of m is pm/100.

Learn more about expression at https://brainly.com/question/723406

#SPJ2

Answer:

[tex]x^{2}+9y^{2}+22[/tex]

Step-by-step explanation:

[tex](x+4)+(x+4)+(3y)+(3y)+(7)+(7)[/tex]

this can be simplified to: [tex]x^{2}+9y^{2}+22[/tex]

Answer:

Choices: 2, 4, 8, 9

Step-by-step explanation:

The Opposite sides of a Trapezioid are congruent

The bases form parallel sides

The diagonals of a trapezoid bisect each other AND are congruent

Hope this helps! So sorry if its wrong