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
Answers
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
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Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-intercept form.
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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]
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m = [tex]\frac{21-(-9)}{13-(-2)}[/tex] = [tex]\frac{21+9}{13+2}[/tex] = [tex]\frac{30}{15}[/tex] = 2 , then
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Answer:
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Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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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.
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Answer:
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Step-by-step explanation:
choose the unit that measures distance
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B. Pounds
C. Ounces
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Answer:
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Step-by-step explanation:
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Question 20
What will be printed by the following code?
String str = "Have a nice day!";
System.out.println(str.length());
a. Have a nice day
b. 16
c. 13
d. Have
e. 4
Question 21
Examine this code:
String str = "Hello World!" ;
What is the index of the character 'W'?
a. 6
b. 7
c. 5
d. 8
e. 2
Answers
Answer:
Q20 b.16
Q21 a.6
Step-by-step explanation:
count charcters Have a nice day! ==16
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because index start with 0 and not 1
just count
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e==> 1
l==> 2
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W=>6
As an incoming college freshman, Tina received a 10-year $9,900 Federal Direct
Unsubsidized Loan with an interest rate of 4.29%. She knows that she can begin making
loan payments 6 months after graduation but interest will accrue from the moment the funds
are credited to his account. How much interest will accrue while she is still in school and
over the 6-month grace period for this freshman year loan?
Answers
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.
The interest on the Federal Direct Unsubsidized Loan after 4 years 6 months is $1,911.195Reasons:
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
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Answer:
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Step-by-step explanation:
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A. y = 3.5x
B. y = 7.5x – 2
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D. y = -5x -8
Answers
Answer:
d y=-5x-8
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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
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Answers
Step-by-step:
-8y + 1 = -9y
Subtract 1 from both sides
-8y = -9y-1
Add 9y to both sides to isolate y
y = -1
8y + -1 = 9y
Reorder the terms:
-1 + 8y = 9y
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Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-9y' to each side of the equation.
-1 + 8y + -9y = 9y + -9y
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Step-by-step explanation:
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Step-by-step explanation:
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Use the following figure to answer BOTH parts the question
(a) Describe in words a sequence of transformations that maps ∆ to ∆′′′.
(b) Write an ordered-pair rule for each transformation in the sequence.
Answers
Transformation involves changing the position of a shape
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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]
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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]
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Answer:
x = 5
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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7
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
h(1) = 7
Step-by-step explanation:
h(x) = 4x + 3
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Answer:
y= (1/2)x + 2
Step-by-step explanation:
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Answer:
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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.
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