What is the y-intercept of the function f(x) = -4.2^x​

Answer:

320

Step-by-step explanation:

(2 / 50) * 8000 = 320

Answer:

320

Step-by-step explanation:

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.

According to the question,

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]

⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]

⇒[tex]-12x=bx[/tex]

⇒ [tex]b=-12[/tex]

∴  [tex]b=-12[/tex]

Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

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Answer:

clover

Step-by-step explanation:

because

The measure of angle ∠x = 28°.

We have a geometrical figure [Refer to the image attached in the end].

We have to prove that x = 28°.

The measure of straight angle is 180°.

According to the question -

Line DLG is a Straight line. Therefore -

2∠x + 124° = 180°

2∠x = 56°

∠x = 28°

Hence Proved.

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The question is incomplete. The complete question is :

M and n are both integers. Select all the statements that are true if m and n are also equal to each other.

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

D. m + n = 0

Answer :

A. m - n = n - m

B. 0 = m - n

C. m + (-n) = m - n

Explanation :

It is given that m and n are integers and they both are equal to each other.

i.e. m = n

Therefore for option (A),

m - n = n - m

m - m = m - m   (since m and n are equal)

0 = 0

Therefore, the statement (A) is true.

For option (B),

0 = m - n

0 = m - m      (since m and n are equal)

0 = 0

Therefore, the statement (B) is true.

For option (C),

m + (-n) = m - n

m + (-m) = m - m    (since m and n are equal)

m - m = m - m

0 = 0

Therefore, the statement (C) is true.

Now for option (D),

m + n = 0

m + m ≠ 0    (since m and n are equal)

2m ≠ 0

Therefore, the statement (D) is false.

Hence, the options (A), (B) and (C) are true.

Answer:

The height of the water increases 2 inches per minute. Or A

Step-by-step explanation:

Edge

Answer: A ( The height of the water increases 2 inches per minute)

Answer:

B)   x = 7,   y = 4√2

Step-by-step explanation:

Drop a line from the upper left vertex

This creates a rectangle with a bottom side of 3

and an isosceles right triangle with legs of 4

Therefor

x = 4 + 3

x = 7

y = √(4² + 4²)

y = 4√2

The values of x and y from figure are 7 and 4√2 respectively, option B is correct.

When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.

We have to find the values of x and y.

Sine function is a ratio of opposite side and hypotenuse.

sin45=4/y

1/√2 = 4/y

Apply cross multiplication:

y=4√2.

Now let us find the value of x by cosine function.

Cosine is a ratio of adjacent side and hypotenuse.

cos 45 =x/y

1/√2 = x/4√2

Apply cross multiplication:

x=4

Now from diagram x=4+3 =7

Hence, the values of x and y from figure are 7 and 4√2 respectively.

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Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16

Answer:

19/30

Step-by-step explanation:

3/10 + 1/3

Get a common denominator of 30

3/10 * 3/3   + 1/3 * 10/10

9/30  + 10/30

19/30

Answer:

19 / 13

Step-by-step explanation:

➟ 3 / 10 + 1 / 3

➟ 3 / 10 × 3/3 + 1 /3 × 10 /10

➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10

➟ 9 / 30 + 10 / 30

➟ 9 + 10 / 30

➟ 19 / 30

Answer:

So, you multiply them.

Step-by-step explanation:

Try it yourself….. Use table multiplication or somthin

Answer:

Well 6.2 x 6.2 is 38.44 and if you do 38.44 x 38.44 it is 1,477.6336

12

15x + 60 <240

-60

15 veces <180/15

x <12

Step-by-step explanation:

[tex]5^{-2}=\frac{1}{5²}[/tex]

Answer:

Solutions given:

[tex]5^{-2}=\frac{1}{5²}[/tex]

since

we have rule of indices

[tex]x^{-a}=\frac{1}{x^{a}}[/tex]

Answer: It's 1/25 or 0.04 That's what I got

Step-by-step explanation:

Since 1/5^-2 = 0.04 I think its the first one

Answer:

33.3% I think lpl

Step-by-step explanation:

Answer:

your answer is option B

Answer:

Your answer came out to be B.

im pretty sure that the answer is 6 2/3

Answer:

the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)

Step-by-step explanation:

after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)

after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)

after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)

Answer:

y = -4x - 1

Step-by-step explanation:

k(x) = -4x - 1

replace k(x) with y

y = -4x - 1

Answer:

y = -4x - 1

Step-by-step explanation:

same i pass im at like 70% Step-by-step explanation:

Answer:

Step-by-step explanation:

The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.

Write a system of inequalities that can be used to represent this situation.

The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer

Answer:

~ 97 ft

Step-by-step explanation:

cos = adj/hyp

cos61 = adj/200

200 * cos61 = adj

adj = 96.961924049267406

~ 97 ft

The foot of the cable is 95 feet away from the base of the tree.

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.

We have,

The angle between the ground and the cable is given as 61º.

In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.

Cosine(angle) = adjacent/hypotenuse

Cos(61º) = adjacent/200 ft

adjacent = Cos(61º)x200 ft

adjacent ≈ 0.475 x 200 ft

adjacent ≈ 95 ft

Therefore, the foot of the cable is 95 feet away from the base of the tree.

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Answer:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

For a given transformation:

T(x, y) = (x', y')

the inverse transformation is defined by:

(T - 1)(x', y') = (x, y)

So, if our transformation is:

T(x, y) = (x + 4, y + 3)

Then for the inverse transformation, we should have:

(T - 1)(x + 4, y + 3) = (x, y)

So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

Writing the inverse transformation for a generic (x, y) point, we get:

(T - 1)(x, y) = (x - 4, y - 3)

Answer:

[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]

Answer:

4^5

4 by the power of 5

Step-by-step explanation:

4 times the amount of 4's

4 times 5 does not equal 4^5 and is not the answer

it is 4 by the power of 5

Answer:

The lateral area of a cone is 141.4 square centimeters

Step-by-step explanation:

Mathematically, we have the formula for the lateral area of a cone as;

A = pi * r * l

where r is the radius of the cone and l

is the slant height of the cone

Mathematically, the radius is simply half the measure of the diameter

we have that as 10/2 = 5 cm

So substituting these values;

A = 22/7 * 9 * 5

A = 141.4 square centimeters

Answer:

t = {(v - s) + ab} / a

Step-by-step explanation:

a = (v - s) / (t - b)

Make t the subject of the equation

a = (v - s) / (t - b)

Cross product

a * (t - b) = (v - s)

at - ab = (v - s)

Add ab to both sides

at = (v - s) + ab

t = {(v - s) + ab} / a

Answer:D

Step-by-step explanation:

Answer:

by increasing the size ez