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)
Related Questions
h(x) = 4x + 3; Find h(1)
Answers
Answer:
h(1) = 7
Step-by-step explanation:
h(x) = 4x + 3
h(1) = 4(1) + 3
h(1) = 4 + 3
h(1) = 7
-8y + 1 = -9y. solve for y.
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
Solving
-1 + 8y = 9y
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
Combine like terms: 8y + -9y = -1y
-1 + -1y = 9y + -9y
Combine like terms: 9y + -9y = 0
-1 + -1y = 0
Add '1' to each side of the equation.
-1 + 1 + -1y = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -1y = 0 + 1
-1y = 0 + 1
Combine like terms: 0 + 1 = 1
-1y = 1
Divide each side by '-1'.
y = -1
Simplifying
y = -1
what is the equation?
Answers
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]
PLEASEE HELPP!
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
The sequence that maps ∆ABC to ∆A′B′C′ is reflection across the y-axis, followed by horizontal and vertical shiftsThe ordered pair rule is: [tex](x,y) \to (-x,-1,y-2)[/tex](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:
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Calculate 1.25 X (3)
Answers
Answer: 3.75 is your answer!
Step-by-step explanation: hope i helped my answer is 100% correct
Evaluate: 4.3 - (-2.7)
7
1.6
-1.6
-7
Answers
Answer:
7
Step-by-step explanation:
That means 4.3 (2.7) = 7
The negative signs get removed because negative × negative = positive
The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?
Answers
Answer:
The value of the investment
Step-by-step explanation:
can someone please help me with this? pls & thank you!
Answers
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
choose the unit that measures distance
A. Feet
B. Pounds
C. Ounces
D. A.M
Answers
Answer:
Feet
Step-by-step explanation:
What is the answer for the explanation
Answers
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
Help help help help help math
Answers
Answer:
8
Step-by-step explanation:
what is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
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
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
8. Which of the following equations represents
a line with a positive slope and a negative
y-intercept?
A. y = 3.5x
B. y = 7.5x – 2
C. y = 3x + 7
D. y = -5x -8
Answers
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.
help me please jfjfjd
Answers
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
Alesia reads 12 books over 6 months. After 8 months, how many books will she have read in all?
18 books
16 books
22 books
20 books
Answers
Java 1
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
Q21 why 6
because index start with 0 and not 1
just count
H ==> 0
e==> 1
l==> 2
.
.
W=>6
How to expand Expand 7n-3+1-2n
Answers
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
Answers
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?
please help i have a test tmw
Answers
Find the equation of the linear function represented by the table below in slope-intercept form.
Answers
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
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
Learn more about the interest rate here:
https://brainly.com/question/1368015
pls help it's due today
Answers
Answer:
x = 5
y = 8.66
Step-by-step explanation:
I hope this helps!!
If 15 out of 25 students are boys,what percent of the class is made up of boys?
Answers
Answer: 6%
Step-by-step explanation:
4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
No correlation
Answers
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.
Express the following equation in slope intercept form: 8x-2y=10
please
Answers
Answer:
y=4x-5
Step-by-step explanation:
8x-2y=10
-8
-2y=-8x+10
-2= -2 -2
y=4x-5
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line
Answers
Answer:
y= (1/2)x + 2
Step-by-step explanation:
yeah-ya.......... right?
1 5/6 ÷3/4 the first 1 is a mixed fraction so its one five by six
Answers
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
Helppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
13+(12-x)+14+(20-x)+x+(15-x)+8=74
solve for x
x=4
i need help with this!!!!
Answers
Answer: 2. 5.
Step-by-step explanation:
solve the following equation. Enter your answer as an integer, decimal or fraction.
Answers
Answer:
x = 5 or × = -7/2
Step-by-step explanation:
I hope you get it good luck.