find the interval in which the function is negative.

f(x) = x^2 - 3x - 4

I. (- infinite, -1)

II. (-1, 4)

III. (4, infinite)

A. III only

B. II only

C. I, II

D. I, III​

Answer:

Feet

Step-by-step explanation:

Transformation involves changing the position of a shape

(a) The sequence that maps both triangles

From the figure the coordinates of both triangles are:

[tex]A = (-5,0)[/tex]

[tex]B = (-2,1)[/tex]

[tex]C = (-4,2)[/tex]

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Start by reflecting triangle ABC across the y-axis.

The rule of this transformation is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A = (5,0)[/tex]

[tex]B = (2,1)[/tex]

[tex]C = (4,2)[/tex]

Next, translate the triangle 1 unit left and 2 units down

The rule of this transformation is:

[tex](x,y) \to (x,-1,y-2)[/tex]

So, we have:

[tex]A' = (4,-2)[/tex]

[tex]B' = (1,-1)[/tex]

[tex]C = (3,0)[/tex]

Hence, the sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal shift to the left by 1 unit, and vertical shift down by 2 units

(b) The ordered pair rule

In (a), we have:

[tex](x,y) \to (-x,y)[/tex] ---- reflection

[tex](x,y) \to (x,-1,y-2)[/tex] --- translation

Combine both transformations, so we have the following ordered pair:

[tex](x,y) \to (-x,-1,y-2)[/tex]

Hence, the ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex]

Read more about transformation at:

https://brainly.com/question/22047495

Answer:

y= (1/2)x + 2

Step-by-step explanation:

yeah-ya.......... right?

Answer:

5n-2

Step-by-step explanation:

collect like terms

-> (7n-2n)+(-3+1)

simplify

=> 5n-2

Answer:

y=3x+1

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case in figure 2 we see that there are 4 blocks, in figure 3 we see there are now 7 blocks.

7 - 4 = 3.

If we try again and see figure 3 has 7 blocks and figure 4 has 10 blocks we can do this to double check.

10 - 7 = 3. (This now verifies our rate of change to be 3)

We now see that the rate of change or slope (same thing) is 3 or put into the equation (3x).

Off this information we can also predict the original value of figure 1 (the figure we must calculate ourselves to create the equation).

Simply take figure 2 (4 blocks) and subtract by the rate of change which is (3 blocks) to get figure 1 which will be 1 block.

With all this information we can create the equation with the information we now have.

y = mx+b

y = what you are calculating for

m = 3

x = (the value you fill in when you are calculating for x) [we are not filling this in for this question so you will leave it as simply x]

b = 1        (the constant / y intercept / or simply put as the value we solved when calculating figure 1)

Final Result = [ y = 3x + 1]

Answer:

Camille's puppy becuase it gains about half a pound per week

Step-by-step explanation:

Answer:

Camille's puppy because it gains about half a pound per week

Step-by-step explanation:

brainliest please?

Answer:

10. y degree = 102 degree

11. x degree = 103 degree

Step-by-step explanation:

The formula to calculate the sum of the interior range of polygons is (n-2) * 180.

With n being the number of sides.

From that sum, you can then deduce the angles of y or x, by substracting the other angles.

10. n = 4 => ( 4 - 2 ) * 180 = 2 * 180 = 360 degree

y = 360 - 120 - 85 - 53 = 102 degree

11. n = 5 => (5 - 2) * 180 = 3 * 180 = 540 degree

x = 540 - 117 - 100 - 105 - 115 = 103 degree

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

The amount charged on the loan which is the loan interest rate, increases as the time after the initial amount is credited into the account increases.

Reasons:

The given parameter are;

Loan amount, the principal, P = $9,900

Duration of the loan = 10 years

Loan interest rate, R = 4.29%

Required:

The amount of interest that will accrue while she is still in school and over the 6-months grace period for the freshman loan.

Solution:

Based on a similar question on an online source, we have;

Interest, I = P × R × T

Where;

T = The time = The time the freshman is in school + 6 months

Therefore, normally, we have;

T = 4 years + 6 months = 4.5 years

R = 4.29% = 0.0429

Therefore;

Interest, I = 9,900 × 0.0429 × 4.5 = 1911.195

The interest that will accrue while she is still in school and over the 6-months grace period for the loan, I = $1,911.195

Learn more about the interest rate here:

https://brainly.com/question/1368015

Answer: 6%

Step-by-step explanation:

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4

Answer: You cannot figure out the value without any measurements or tools for that matter.

Step-by-step explanation:

Im blue ba da de ba da da

Answer:

y = 2x - 5

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 m using the slope formula

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

with (x₁, y₁ ) = (- 2, - 9) and (x₂, y₂ ) = (13, 21) ← 2 ordered pairs from the table

m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (3, 1 )

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 2x - 5 ← equation of linear function

Answer: 3.75 is your answer!

Step-by-step explanation: hope i helped my answer is 100% correct

Answer:

Negative Correlation

Step-by-step explanation:

The plot looks like it's going downwards. If it was an equation, it'd be something with y = -x +b.

Answer:

7

Step-by-step explanation:

That means 4.3 (2.7) = 7

The negative signs get removed because negative × negative = positive

Answer:

Q20     b.16

Q21      a.6

Step-by-step explanation:

count charcters  Have a nice day!  ==16

Q21    why 6

because index start with 0 and not 1

just count

H ==> 0

e==> 1

l==> 2

.

.

W=>6

Answer:

x = 5 or × = -7/2

Step-by-step explanation:

I hope you get it good luck.

Answer:

see explanation

Step-by-step explanation:

Equation for Fast Internet is

45 + 50.45x

Equation for Quick Internet is

57.95x

To find when they cost the same , equate the 2 equations

45 + 50.45x = 57.95x ← required equation

Solve the equation by subtracting 50.45x from both sides

45 = 7.5x ( divide both sides by 7.5 )

6 = x

Both services would cost the same after 6 months

Answer:

y=4x-5

Step-by-step explanation:

8x-2y=10

-8

-2y=-8x+10

-2= -2   -2

y=4x-5

Answer:

h(1) = 7

Step-by-step explanation:

h(x) = 4x + 3

h(1) = 4(1) + 3

h(1) = 4 + 3

h(1) = 7

Answer:

x = 5

y = 8.66

Step-by-step explanation:

I hope this helps!!

Answer:

d y=-5x-8

Step-by-step explanation:

Answer:

B. y = 7.5x – 2

Step-by-step explanation:

Any equation with a positive coefficient before the x is positive and the second value is the y - intercept.

Answer:

8

Step-by-step explanation:

Answer:the answer is 22/9 or in mixed form would be 2 4/9 but in decimal it’s 2.4 but the 4 is repeated

Answer: 2. 5.

Step-by-step explanation:

Answer:

The value of the investment

Step-by-step explanation: