Consider this function:
f(x) = -2(x + 3)(x - 7).
When graphed, the function will have x-intercepts at and
Write the left x-intercept first. Write the x-intercepts as ordered pairs: (a,b).
Answers
Answer:
-5 +7x equal 12x
Step-by-step explanation:
add and complete
The x-intercepts of the function f(x) are:
Left x-intercept: (-3, 0)
Right x-intercept: (7, 0)
Given is a function, f(x) = -2(x + 3)(x - 7).
We need to find the x-intercept of the function,
To find the x-intercepts of the function f(x), we set f(x) equal to zero and solve for x:
-2(x + 3)(x - 7) = 0
Now, we can use the zero product property, which states that if a product of factors is equal to zero, then at least one of the factors must be zero.
So, we have two cases to consider:
Case 1: x + 3 = 0
Solving this equation, we subtract 3 from both sides:
x = -3
Case 2: x - 7 = 0
Solving this equation, we add 7 to both sides:
x = 7
Therefore, the x-intercepts of the function f(x) are -3 and 7.
Writing them as ordered pairs, we have:
Left x-intercept: (-3, 0)
Right x-intercept: (7, 0)
Learn more about x-intercepts click;
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Related Questions
Answer choices please help
240
200
240
280
Answers
please help thank you
Answers
Answer:
a is the answer hope this help:D
Step-by-step explanation:
Discuss the TWO principles that define the Rule of Law.
Answers
Answer:
1. The government as well as private actors are accountable under the law. 2. The laws are clear, publicized, stable, and just; are applied evenly; and protect fundamental rights, including the security of persons, contract and property rights, and certain core human rights.
Step-by-step explanation:
Your welcome<3
Answer:
Step-by-step explanation:
It requires measures to ensure adherence to the principles of supremacy of the law, equality before the law, accountability to the law, fairness in the application of the law, separation of powers, participation in decision-making, legal certainty, avoidance of arbitrariness, and procedural and legal transparency.
Which equation can be used to describe the pattern in the table
Answers
Answer:
I feel like its C.
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
because all the a values are 5 more than b
PLEASE HELP: Find the value of S20 for the series of 5+8+11+14+....
Answers
Answer:
17 alyezhh
Step-by-step explanation:
its adding by 3's loljjjjhggg
I’m Sorry But here’s An Other One :’)
Answers
Answer:
32.34
Step-by-step explanation:
9.35 + 9.35 + 6.82 + 6.82=32.34
Your welcome.
Please solve quickly, will give brainliest
Answers
Answer:
Step-by-step explanation:
for 1 cube of 6 sides, it takes 5 grams
so 1 side is 5/6th grams
now how many sides of small cubes are shown is 42
42*5/6=35 grams
Answer:
180 grams
Step-by-step explanation:
5gramsx number of squares
5gramsx 36=180grams
If one he side of a square note book measures 20cm what is the area of the front cover of the note book
Answers
Answer:
400 sq cm
Step-by-step explanation:
20cm x 20cm
Find an equation of the tangent line to the curve at the given point. y=√x, (49,7) To find the equation of a line, we need the slope of the line and a
Answers
Answer:
The equation of the tangent line to the curve at the given point is [tex]y = \frac{1}{14}(x - 49) + 7[/tex]
Step-by-step explanation:
Equation of the tangent line:
The equation of the tangent line to a function f(x) at a point [tex](x_0,y_0)[/tex] is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope, which is given by the derivative of f(x) at [tex]x_{0}[/tex]
y=√x, (49,7)
This means that [tex]x_0 = 49, y_0 = 7[/tex]
The derivative is:
[tex]y^{\prime} = \frac{1}{2\sqrt{x}}[/tex]
At [tex]x = 49[/tex]
[tex]m = y^{\prime} = \frac{1}{2\sqrt{49}} = \frac{1}{14}[/tex]
So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 7 = \frac{1}{14}(x - 49)[/tex]
[tex]y = \frac{1}{14}(x - 49) + 7[/tex]
The equation of the tangent line to the curve at the given point is [tex]y = \frac{1}{14}(x - 49) + 7[/tex]
PLEASE ANSWER!
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 11 m. The inner edge of the sidewalk is a circle with a radius of 9 m.
(a) Write and simplify an expression for the exact area of the sidewalk.
(b) Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answers
A) Area of the sidewalk = R^2 - r^2 - This can be the expression
B) = 3.14
=(R^2-r^2)
=(11^2-9^2)
=(121-81)
=*40
That was the simplified expression
Answer = 3.14 * 40 = 125.6m^2
Enter the value of f(4) for the following function:
Answers
Answer:
648
Step-by-step explanation:
8x3x3x3x3=8x81=648
-(1/2)³ is equivalent to?
Answers
Answer:
-0.125
Step-by-step explanation:
- Im learning about this , so im not really sure
A sample of 64 account balances from a credit company showed an average daily balance of $1,040. The standard deviation of the population is known to be $200. We are interested in determining if the mean of all account balances (i.e., population mean) is significantly different from $1,000. 1. State the null and alternative hypothesis. 2. Compute the test statistic. 3. Compute the p-value. 4. Based on the p-value and the significance level of 0.05% make a decision regarding the hypotheses. 5. Interpret your results in the context of the problem.
Answers
Answer:
See step by step exlanation
Step-by-step explanation:
Assuming normal distribution
N( μ₀ , σ )
In this case N ( 1000, 200)
From a random sample of 64 accounts we get:
n = 64
x = sample mean x = 1040
σ = standard deviation of the population σ = 200
1.-Test Hypothesis
Null Hypothesis H₀ x = μ₀ = 1000
Alternative Hypothesis Hₐ x ≠ μ₀
The alternative hypothesis implies a two tail-test. Given that n > 30 and σ is known we will use z-table
2.- z(s) = ( x - μ₀ ) / σ/√n
z(s) = ( 1040 - 1000 ) / 200/ √64
z(s) = 40*8/200
z(s) = 1,6
3.-P-val for z (score 1,6) p-value = 0,0548
4.- If significance level is 0,05 then α = 0,05 and α/2 = 0,025
p-value > α/2
Then the z(s) < z(c) 1,6 < 1,96 where z(c) is z score for α/2
We should accept H₀
5.-We can claim that at 95 % (of Confidence Interval) the population mean is not significantly different from 1000 $
ags of sugar come in 3 sizes.
Small bag: A 250 g bag costs 64p.
Medium bag: A 575 g bag costs £1.25.
Large bag: A 1.25 kg bag costs £2.54.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Write which size of bag is best value for money in the comment box.
Answers
Answer:1 gram of the small bag costs 0.256p ,1 gram of the medium bag costs 0.217p and 1 gram of the big bag costs 2. 032p
Step-by-step explanation:
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?
Answers
Answer:
16 oz
Step-by-step explanation:
the ratio is 3 oz of oj to 1 oz of seltzer.
I pretty much just divided 48 by 3.
I hope this is correct and I hope it helps you!
I REALLY NEED SOME HELP WITH THIS!!!!!!!!
Answers
Answer:
50.5
Step-by-step explanation:
please mark brainliest
What is the answer to this please????
Answers
Answer:
your answer will be
y=40 x +20
Step-by-step explanation:
have a nice day/night ^_^
the area of a trapezium is 400 cm square
Answers
Complete Question:
The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______
Answer:
[tex]Side\ 2 = 30cm[/tex]
Step-by-step explanation:
Given
[tex]A= 400cm^2[/tex] --- Area
[tex]h = 16cm[/tex] --- Height
[tex]Side\ 1=20cm[/tex]
Required
The length of the other side (Side 2)
The area of a trapezium is:
[tex]A = \frac{1}{2}(Side\ 1 + Side\ 2) * h[/tex]
[tex]400 = \frac{1}{2}(20 + Side\ 2) * 16[/tex]
[tex]400 = (20 + Side\ 2) * 8[/tex]
Divide both sides by 8
[tex]50 = 20 + Side\ 2[/tex]
Collect Like Terms
[tex]Side\ 2 = 50 - 20[/tex]
[tex]Side\ 2 = 30cm[/tex]
A measurement of 4.5 yards is how many feet longer than a measurement of 132 inches?
Answers
Answer:
4.5X3=13.5, 132/12=11, 13.5-11=2.5
Step-by-step explanation:
A measurement of 4.5 yards is 2.5 feet longer than a measurement of 132 inches.
As we know that,
[tex]1 yard = 3 feet[/tex]
So, 4.5 yards = [tex]3*4.5=13.5feet[/tex]
[tex]12 inch = 1 feet\\\\132inch = \frac{`132}{12}=11feet[/tex]
Difference between 4.5 yards and 132 inches = [tex]13.5-11=2.5feet[/tex]
Thus, the measurement of 4.5 yards is 2.5 feet longer than a measurement of 132 inches.
Learn more about yards and feet here :
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Name the two congruent triangles
Answers
Answer:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Step-by-step explanation:
The diagram given indicates the following:
<E ≅ <E (vertical angles)
AE ≅ DE
BE ≅ CE
Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.
Therefore:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Help fast pleaseeeee
Answers
we will find the area of triangle with sides 5y,6y and 9y using herons formula
plss help mehhhhhhhhhh
Answers
Answer:
12=12 infinitely many solutions
x=8 one solution
4[tex]\neq \\[/tex]6 no solution
Step-by-step explanation:
ʕ•ᴥ•ʔ
Determine the area of the shape below. The area is
square centimeters.
6 cm
4 cm
2 cm
3 cm
Answers
Answer:
144
Step-by-step explanation:
6 times 4 = 24
24 times 2 = 48
48 times 3 = 144
The graph of triangle ABC is shown below:
What is the area, in square units, of triangle ABC?
Answers
Answer:
36 square units
Step-by-step explanation:
Height = 9
Base = 8
Area of a triangle = A = 1/2bh
Plug in
1/2 (8) (9) = 4 x 9 = 36
The height of a rocket, in feet, t seconds after it is launched is modeled by the function h(t) = -16t2 + 125t + 24. Which interval has the largest change in height?
A. 0-1 second
B. 3-4 seconds
C. 5-6 seconds
D. 7-8 seconds
Answers
Answer:
a
Step-by-step explanation:
trust
This problem involves the career plans of students in a biology class. Assume that the class consists of 40 percent freshmen, 10 percent sophomores, 30 percent juniors, and 20 percent seniors. Assume further that 40 percent of the freshmen, 30 percent of the sophomores, 35 percent of the juniors, and 20 percent of the seniors plan to go to medical school. One student is selected at random from the class. (1) What is the probability that the student plans to go to medical school
Answers
Answer:
0.335 = 33.5% probability that the student plans to go to medical school
Step-by-step explanation:
What is the probability that the student plans to go to medical school?
Sum of:
40% of 40%(freshmen)
30% of 10%(sophomores)
35% of 30%(juniors)
20% of 20%(seniors)
So
[tex]p = 0.4*0.4 + 0.3*0.1 + 0.35*0.3 + 0.2*0.2 = 0.335[/tex]
0.335 = 33.5% probability that the student plans to go to medical school
What fraction is equivalent to 8%
Answers
2/25
4/50
8/100
this are the smallest fractions equivalent to 8%
Answer:
8/100
Step-by-step explanation:
8% = 0.08 = 8/100
let me know if you need more of an explaination <33
The rectangle below has an area of x2 – 6x – 7 square meters and a width of x– 7 meters.
What expression representsthe length of the rectangle?
Answers
Answer:
The length is (x+1)
Step-by-step explanation:
We know the area equals length times width. LxW=Area
We know the width equals (x-7). We also know the area equals x² - 6x - 7.
We need to expand the area. When we do, we get (x+1)(x-7).
The width is (x-7), so the length must be (x+1)
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answers
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
Rounded to the nearest hundred thousandth, the number 0.00003216 is???
Answers
Answer:
0.00003 is the nearest rounded hundred thousandth value for 0.00003216
Step-by-step explanation:
The number of the hundred thousandths place is 3.
If we start rounding the figure from the right most number from the decimal point of 0.00003216 , then the new figure would be 0.0000322
Now, this number nearest hundred thousandth rounded number will be 0.00003