Answer:
The best is f(x) = (x + 3)(x − 3)(x + 1).
Step-by-step explanation:
The coefficient of x^3 will be positive because of where the graph rises and falls.
As one of the x intercepts is negative 3 one of the factors will be (x + 3).
By the same reasoning the other 2 factors will be (x - 3) and (x + 1).
Answer:
D is correct!
Step-by-step explanation:
I am with the same program.
Consider the point A = (1,3) and the line B, given by the equation y = 2x-2. Write an equation in slope intercept form of the line passing through point A and parallel to line B.
Please help!
The equation of the line in slope intercept form is [tex]y=2x+1[/tex]
Explanation:
The point A is [tex](1,3)[/tex]
The equation of line for B is given by [tex]y=2x-2[/tex]
We need to determine the equation of line in slope intercept form passing through the point A and parallel to line B.
Since, the lines of equation are parallel, their slopes are same.
Thus, the slope is [tex]m=2[/tex]
Now, let us substitute the point [tex]A(1,3)[/tex] and slope [tex]m=2[/tex] in the slope - point formula, we have,
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
[tex]y-3=2\left(x-1\right)[/tex]
[tex]y-3=2x-2\right)[/tex]
[tex]y=2x-2+3\right)[/tex]
[tex]y=2x+1[/tex]
Thus, the equation of the line in slope - intercept form is [tex]y=2x+1[/tex]
Solve (x+4)2 – 3(x + 4) – 3 = 0 using substitution.
u=
Answer:
Step-by-step explanation:
(x+4)2-3(x+4)-3=0
2x+8-3x-12-3=0
-1x-4-3=0
-1x-7=0
-1x=7
x=7/-1
x=-7
Answer:
u= x + 4
Step-by-step explanation:
I just did the as. and quiz
which of the following values is a solution of 12.6 less than or equal to 3x
Answer:
x≤4.2
Step-by-step explanation:
12.6 ≤ 3x
1. Divide both sides by 3
2. 12.6÷3= 4.2
x≤4.2
Claire went into a movie theater and bought 9 bags of popcorn and 2 pretzels, costing a total of $80. Melanie went into the same movie thearter and bought 7 bags of popcorn and 4 pretzels, costing a total of $72. Write a system of equations that could be used to determine the price of each bag of popcorn and the price of each pretzel. Define the variables that you use to write the system.
Answer:
9x + 2y = 807x + 4y = 72Step-by-step explanation:
Let cost of popcorns be x and pretzels be y.
Then the equations are:
9 bags of popcorn and 2 pretzels, costing a total of $80
9x + 2y = 807 bags of popcorn and 4 pretzels, costing a total of $72
7x + 4y = 72Answer:9
Step-by-step explanation:
Chloe is a pharmacist and wants to know the
height of a medicine bottle received from a
supplier. The supplier informed her that the
radius of the medicine bottle is one-fourth its
height. Chloe knows that the medicine bottle
has a volume of V cubic inches.
Which of the following functions would best model the situation above?
O
cube root
O
square root
O
exponential
O
step
The given situation would be a best model of cube root.
Solution:
Generally, medicine bottles will be cylindrical in shape. Since the shape of the bottle is not given we can assume that the bottle is in cylindrical shape.
Given information:
Radius of the bottle (r) = one fourth of its height (h)
[tex]\Rightarrow r=\frac{1}{4}\times h[/tex]
Volume of the bottle = V cubic inches
The formula of the volume of a cylinder is as follows,
[tex]\Rightarrow V=\pi r^{2} h[/tex]
This can be re-written as [tex]h=\frac{V}{\pi r^{2}}[/tex] as we do not know the height.
On plugging-in the given values we get,
[tex]\Rightarrow h=\frac{V}{\pi \times(\frac{h}{4})^{2}}\rightarrow \frac{V}{\pi \times\frac{h^2}{16}}\rightarrow \frac{16V}{\pi\times h^2}[/tex]
On solving we get,
[tex]\Rightarrow h\times h^2 = \frac{V}{\pi}[/tex]
[tex]\Rightarrow h^3 = \frac{V}{\pi}[/tex]
On taking the cube root on both sides we get,
[tex]\Rightarrow h=\sqrt[3]{\frac{V}{\pi}}[/tex]
Therefore, cube root would be the best model of the given solution.
Is this a linear f(x)= 7x^2+4
Answer:
Yes
Step-by-step explanation:
what is 45 times 35 divided by 344
Answer:
45 times 35 = 1575 and 1575 divided by 344 = 4.578488372
Answer: 4.58
Step-by-step explanation:
45 times 35 = 1, 575
1,575/344 = 4.58 to 2 decimal place
Given: - 4x>4.
Choose the solution set.
Answer:
x < - 1
Step-by-step explanation:
Given
- 4x > 4
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.
x < - 1
What is the answer to 5x-11=34
Answer:
x = 9Step-by-step explanation:
[tex]5x-11=34\qquad\text{add 11 to both isdes}\\\\5x-11+11=34+11\\\\5x=45\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{45}{5}\\\\x=9[/tex]
Answer:
x = 9
Add all numbers up get 45
5x = 45
divide both sides and get 9
Are 4(x-3) and 6x-2(x-3) equivalent?
Answer:
No, 4x - 12 ≠ 4x + 6
Step-by-step explanation:
Step 1: Distribute both expressions
4(x - 3)
(4 * x) + (4 * -3)
(4x) + (-12)
4x - 12
6x - 2(x - 3)
6x - (2 * x) - (2 * -3)
6x - (2x) - (-6)
6x - 2x + 6
4x + 6
Answer: No, 4x - 12 ≠ 4x + 6
Answer:
No its not because when solved you get 4x-12Assuming that c represents a positive number, which pair best represents f(x) and g(x)?
Answer:
Option A
Step-by-step explanation:
From the graph, we can see both f(x) and g(x) are parabolas that turns upside down.
The parent function for both f(x) and g(x) is
[tex]y = - {x}^{2} [/tex]
We can see that , f(x) is obtain by shifting the parent function up, by c units.
Therefore
[tex]f(x) = - {x}^{2} + c[/tex]
Also we can see that g(x) is half way between f(x) and the origin.
Therefore
[tex]g(x) = - {x}^{2} + \frac{c}{2} [/tex]
Therefore the correct option is A .
The net of a cube is shown. If the length of each edge of the cube is 5 cm, find the surface area of the cube.
Answer:
150 cm²
Step-by-step explanation:
A cube has 6 surfaces.
A cube has equal length for all edges.
Area of 1 surface = 5 x 5 = 25 cm²
Area of 6 surfaces = 25 x 6 = 150 cm²
Answer:
Step-by-step explanation:
its 600 dont belive those liers.
The tables show the books read by two different students. Explain how to determine which student read faster.
The first student read faster than the second student.
Step-by-step explanation:
Step 1:
To determine how long each student takes to read a book, we divide the time taken to read by the number of books read in that period.
Time taken to read a book = [tex]\frac{time taken to read}{number of books read in that period}[/tex].
In the given table, the second column values are times taken to read and the first column represents the number of books read in that period.
Step 2:
For the first student, the time taken is calculated.
The first student's time taken to read a book = [tex]\frac{30}{3}[/tex] = [tex]\frac{50}{5}=\frac{70}{7}[/tex] = 10 minutes to read a book.
Step 3:
Similarly, the time taken to read a book is calculated for the second student.
The first student's time taken to read a book = [tex]\frac{24}{2}=\frac{48}{4}=\frac{72}{6}[/tex] = 12 minutes to read a book.
Step 4:
Now we compare the times taken. The first student read a book in 10 minutes while the second student took 12 minutes for a book. So the first student read faster.
If a space shuttle traveled 36,000 miles in 5 hours how fast was it going?
Answer:7,200 mph
Step-by-step explanation:
36,000 divided by 5
Answer:
(Depends on the measurement of speed you are asking for)
7,200 Miles per hour, or 11587.28 Kilometers/hour.
Step-by-step explanation:
Divide 36,000 miles by 5 hours, and you get 7,200 per hour out of the five. Now you have the speed in miles per hour.
Hope that answered your question :)
A container has a volume of 860 cm?.
Find its capacity.
Answer:
0.86liters
Step-by-step explanation:
860cm³=0.86dm³=0.86liters
The capacity of the container is 860 cm³.
To find the capacity of the container, we need to understand that the volume and the capacity are essentially the same thing when referring to containers.
The volume of a container is the amount of space it occupies, and the capacity is the amount of fluid or substance it can hold. Since the volume is already given in cubic centimetres (cm³), which is a unit of volume, it directly translates to the capacity of the container.
Therefore, without the need for any conversion or further calculation, we can state that the capacity of the container is 860 cm³. If one were to express this capacity in litres, knowing that 1 liter is equivalent to 1000 cm³, we could perform a conversion:
[tex]\[ \text{Capacity in liters} = \frac{\text{Capacity in cm}^3}{1000} \][/tex]
[tex]\[ \text{Capacity in liters} = \frac{860}{1000} \][/tex]
[tex]\[ \text{Capacity in liters} = 0.86 \][/tex]
So, the capacity of the container is 0.86 litres, which is equivalent to 860 cm³.
The price per month for the Blue-tooth is $12 more than the cost for the car-phone. The sum of both items is $58. Find the cost of the Blue-tooth and car-phone. Let x equal the cost per month of the car-phone.
Answer:
Bluetooth = $41
Car Phone = 17
Step-by-step explanation:
Answer:
the bluetooth was $35 and the carphone was $23.
Step-by-step explanation:
- A flow of 250 GPM is to be treated with a 2.4 percent (0.2
pounds per gallon) solution of sodium fluoride (NaF). The
water to be treated contains 0.5 mg/L of fluoride ion and
the desired fluoride ion concentration is 1.4 mg/L. What is
the sodium feed rate in gallons per day? Assume the sodium
fluoride has a fluoride purity of 43.4 percent. Select the
closest answer.
1. 19 gal/day
2. 22 gal/day
3. 25 gal/day
4. 28 gal/day
5. 31 gal/day
ANSWER FAST
Solve the following systems of equations by graphing.
{
x
+
4
y
=
−
1
4
x
+
2
y
=
10
{
x+4y = -1 4x+2y = 10
Answer:
x + 4y = -1
4x + 2y = 10
-8x - 4y = -20
x + 4y = -1
-7x = -21
x = 3
3 + 4y = -1
4y = -4
y = -1
16. CRITICAL THINKING
Two figures are congruent. Are the areas of the two figures
the same? the perimeters? Explain your reasoning.
Both area and perimeter are the same. They have the same shape and dimensions.
This is because congruency means that the two figures are identical, one is the clone of the other.
Two congruent figures have identical shape and size, meaning their perimeters and areas are both equal.
If two figures are congruent, this means that they are identical in shape and size. Congruent figures are essentially the same figure superimposed from one location to another. According to the definition of congruent figures, corresponding angles and sides are equal. Therefore, since the dimensions of congruent figures are the same, the perimeters of the figures must also be the same. This is because perimeter is a linear measure, which is the sum of the lengths of the sides of a figure.
Similarly, since congruent figures are identical in size, their areas must also be the same. Area is a measure of the extent of a 2-dimensional surface enclosed by a figure. Since the figures are congruent, they cover the same amount of 2-dimensional space, thus their areas are equal. Theorems 9 and 12 mentioned in the reference material confirm these properties.
Expand and simplify 4(2x+4)+5(4x+3)
Answer:
see below
Step-by-step explanation:
4(2x+4)+5(4x+3)
Distribute
4*2x+4*4 +5*4x+ 5*3
8x+16 +20x +15
Combine like terms
28x +31
as a salesperson, jonathan is paid $50 per week of the total amount he sells. this week, he wants to earn at least $100. write an inequality with integer coefficients for the total sales needed to earn at least $100 and describe with a solution represents
Answer: 1/5
Step-by-step explanation:50%50=1
100%50=0.5
Carrie started at the southeast corner of Franklin Park, walked north 240 yards, turned and walked west 80 yards, and then turned and walked diagonally back to where she started. What is the area of the triangle enclosed by path she walked?
The area is 9,600 square yards.
Carrie's walk forms a right-angled triangle, with the two legs being her north and west paths, and the hypotenuse being the diagonal path back to the start. To find the area of the triangle, we can apply the formula for the area of a right-angled triangle, which is (1/2) * base * height. In this case, the base is her westward walk (80 yards), and the height is her northward walk (240 yards).
Using the formula, the area equals: (1/2) * 80 yards * 240 yards, yielding an area of 9,600 square yards.
Which function is the inverse of f(x) = -5x-42
Answer:
f'(x)=-(x+42)/5
Step-by-step explanation:
Rewrite f(x) as y:
y=-5x-42
Flip x and y and solve for y:
x=-5y-42
x+42=-5y
(x+42)/-5=y
So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)
Jeremy wants to buy a desktop
computer that costs $1,600. He has
already saved $1,280. What percent
of the total has he saved?
Answer:
80%
Step-by-step explanation:
1280/1600=0.8=80%
The diagram below shows scalene triangle JKL.
Which is true about the diagram? Select two options.
Measure of angle J K H + measure of angle J K L = 180 degrees
Measure of angle J K L + measure of angle J L K + measure of angle K J L = 180 degrees
Measure of angle J K H = measure of angle J L K
Measure of angle J K L + measure of angle J L K = 90 degrees
Measure of angle K J L = measure of angle K L J
The correct statement about the diagram is,
⇒ Measure of angle JKH + measure of angle JKL = 180 degrees
⇒ Measure of angle JKL + measure of angle JLK + measure of angle KJL = 180 degrees
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
The diagram is shown.
Now, By definition of linear pair of angles, we get;
⇒ m ∠JKH + m ∠JKL = 180°
And, The sum of angles in triangle is 180°
Hence, We get;
⇒ m ∠ JKL + m ∠ JLK + m ∠ KJL = 180 degrees
Thus, The correct statement about the diagram is,
⇒ Measure of angle JKH + measure of angle JKL = 180 degrees
⇒ Measure of angle JKL + measure of angle JLK + measure of angle KJL = 180 degrees
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ3
1. If you plot each of the points listed below on a Cartesian plane, the points will form a "picture"
of a geometric shape. What's the shape, and in which quadrant will it appear?
(-5
-6)
COCO
-6, -3)
(-9,-6)
Step-by-step explanation:
Based on the given points, we can plot them on a Cartesian plane and determine the resulting shape.The points are:
A: (-5, -6)
B: (0, 0)
C: (-6, -3)
D: (-9, -6)If we connect these points in the order ABCDA, we form a parallelogram.The parallelogram appears in the third quadrant (Quadrant III) of the Cartesian plane, as all the given points have negative x and y coordinates.
What value of x makes this equation true? 13 - 4x = 1 - x
4
-4
−125
125
Answer:
x = 4
Step-by-step explanation:
Given
13 - 4x = 1 - x ( add x to both sides )
13 - 3x = 1 ( subtract 13 from both sides )
- 3x = - 12 ( divide both sides by - 3 )
x = 4
I need help for #9 please help I got math class in 30 minutes :))!! Thank u
In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.
Step-by-step explanation:
We know that sum of alternate angles in a parallelogram is 180°. Using this property, we will solve the question! We have a parallelogram inscribed in a circle with measure of angles as ∠A=100° and ∠D=85°. Now, according to property : ∠A + ∠C = 180° and ∠D + ∠B = 180°.
Let's consider for ∠D + ∠B = 180°:
⇒ 85° + ∠B = 180°
⇒∠B = 180° - 85°
⇒∠B = 95°
Also, for ∠A + ∠C = 180°:
⇒ 100° + ∠C = 180°
⇒∠C = 180° - 100°
⇒∠C = 80°
In questions it's given that ∠B = 85°, which is an error and correct answer is ∠B = 95°.
Is 8 feet 6 inches greater than 100
8 feet and 6 inches is equal to 102 inches, so yes
Answer: No. if your talking about 100 inches then 8 feet is 96 inches +6 = 102 inches so therefore 8 feet 6 inches is grater than 100 inches.
If a babysitter babysat for 2 hours each night for 10 night. she made $180. she wants to she how much she makes per hour
answer fast !!!!!!!!!!
Answer:
The answer would be $9 dollars per hour.
Step-by-step explanation:
Let's start off with getting the basics down. She babysits for 2 hours each night for 10 total nights, so we would multiply the two and get 20 hours of babysitting service. We would then take $180 and divide the total money amount by the number of hours to get your money per hour. In this case, the answer is $9 per hour.