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3 years ago

I need help. What’s the answer and how do you do this?

Mathematics

1 answer:

erik [133]3 years ago

5 0

Scale factor is 1/2 or 0.5

One of the sides of figure A is 4 units, Same side for Figure B has TWO units.
Which is basically half the size of the original (figure A)

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What is the y intercept of the quadratic function f(x)=x^2+x-6

saveliy_v [14]

Answer:

$(0,\, -6)$ .

Step-by-step explanation:

On a cartesian plane, the $y$ -intercept of a function is the point where the graph of that function intersects with the $y\!$ -axis.

The $y$ -axis of a cartesian plane is the same as the equation $x = 0$ (that is, the collection of all points with an $x$ -coordinate of $0$ .)

Construct a system of two equations, with one equation representing $y$ -axis and $y = f(x)$ to represent the graph of this function:

$\begin{aligned}\begin{cases} y = x^{2} + x - 6 & \text{for the quadratic function} \\ x = 0 & \text{for the $y$-axis}\end{cases}\end{aligned}$ .

Solve this system for $x$ and for $y$ . If a solution exists, then the $y\!$ -axis and the graph of $y = f(x)$ would indeed intersect. The point $(x,\, y)$ would be the intersection of the $y\!\!$ -axis and the graph of $y = f(x)\!$ .

Substitute the second equation of the system into the first.

$\begin{aligned}\begin{cases} x = 0 \\ y = -6\end{cases}\end{aligned}$ .

Hence, the intersection of the $y$ -axis and the graph of $y = f(x)$ would be $(0,\, -6)$ . By definition, this point would be the $y\!$ -intercept of $y = f(x)\!$ .

4 0

2 years ago

(7x +6) - (5x - 4) = 180

BartSMP [9]

Answer:

x= 85

Step-by-step explanation:

(7x+6)-(5x-4)=180

There is a negative 1 between the two parenthesis

-1(5x-4)

-5x+4

Now plug it back into the equation and take out the parenthesis

7x+6-5x+4= 180

2x+10=180 Now we can solve

-10 -10

2x= 170

2x/2 = 170/2

x= 85

I hope this helps! :)

8 0

3 years ago

Read 2 more answers

Logarithmic and Exponential Forms of Equations In Exercise, write the logarithmic equation as an exponential equation, or vice v

Nata [24]

Answer:

$12 = e^{2.4849}$

Step-by-step explanation:

For this case we have the following expression:

$ln(12) = 2.4849$

We need to remember that the natural log and the exponentiation with the base the euler number e are inverse operations, and if we apply exponentiation on both sides of the equation we got this:

$e^{ln(12)} = e^{2.4849}$

We have the identity operator for this $e^{ln(x)}= x$

$12 = e^{2.4849}$

And that would be our final answer for this case.

6 0

3 years ago

a 3 inch radius circle is drawn inside a 7 in radius Circle if you throw a dart at the circles what is the probability you land

bulgar [2K]

Answer:0.82

Step-by-step explanation:

The first step is to determine the areas of the inner and the bigger circles.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the inner circle,

diameter = 148.4 cm

Radius = 3 inches

Area = 3.14 × 3² = 28.26 inches²

Considering the bigger circle,

Radius = 7 inches

Area = 3.14 × 7² = 153.86 inches²

The area between the bigger and inner circles is

153.86 - 28.26 = 125.6 inches²

Probability = number of favourable outcome/number of total outcome.

the probability you land inside the bigger circle but outside smaller circle is

125.6/153.86 = 0.82

6 0

2 years ago

there is a 4 number code you have to figure out with this and the clue is the signs are multiplying and the first sign is a stop

AVprozaik [17]

Answer

Step-by-step explanation:

im sorry. math got out of hand to much

4 0

3 years ago