The requried factor of the given quadratic expression [tex]3x^2 + 4x - 4[/tex] is (3x-2). Option C is correct.
To find the factor of the quadratic expression [tex]3x^2 + 4x - 4[/tex], we need to identify two binomials that, when multiplied together, result in the given expression.
The expression is in the form of [tex]ax^2 + bx + c[/tex], where a = 3, b = 4, and c = -4.
To factor the quadratic expression, we look for two binomials of the form (mx + p) and (nx + q) such that:
(mn) = a (which is 3 in our case), and
(pq) = c (which is -4 in our case).
Now, we need to find the factors of 3 and -4:
Factors of 3: 1, 3
Factors of -4: 1, -1, 2, -2, 4, -4
Now, we need to find combinations of these factors such that their product is 3 (the coefficient of [tex]x^2[/tex]) and -4 (the constant term). The combination that works is:
3 * -1 = -3
So, the two binomials are (3x - 2) and (x + 2) because:
[tex](3x - 2) * (x + 2) = 3x^2 - 2x + 6x - 4\\ \ \ \ \ \ \ \ \ \ \ = 3x^2 + 4x - 4[/tex]
Therefore, the correct factor is C.) (3x - 2).
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which of the following is the equation of a line with a slope of -5/9 and passing through the point (9,6)
hey test was passed by 90% of the class if 27 students passed the test how many students were in the class?
24 divided by 689 show work
Find and intrepret the Slope
7 meters 45cm =how many cm?
Brenda+said+that+5/2+divided+by+1/4+equals+10.+how+do+you+know+without+dividing+whether+brenda's+statement+is+reasonable?+justify+your+answer+by+showing+how+to+find+quotient
least to greatest 3/2,0.25,-3/4,-1.0
What is the algebraic form of the verbal description below?
Fifteen added to the quotient of 8 and a number is 7.
Answer:
15=n÷3
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Solve for y=7x-3w for x
the center of the circle that can be circumscribed about a scalene triangle is located by constructing the
Answer:
Circumcenter.Step-by-step explanation:
A circumscribed circle can be defined as a circle which passes throguth all three vertices of a triangle.
To construct a circumscribed triangle, first, we need to construct the circumcenter of the triangle, which is the intersection point of its all three perpendicular bisectors. Such point of intersection has equal distance to all three vertices.
Therefore, the word missing here is circumcenter.
x+3(x+1)=103 please help me.
How does radiation transfer thermal energy from the Sun to Earth?
If you have stood in front of a fireplace or near a campfire, you have felt the heat transfer known as radiation. The side of your body nearest the fire warms, while your other side remains unaffected by the heat. Although you are surrounded by air, the air has nothing to do with this transfer of heat. Heat lamps, that keep food warm, work in the same way. Radiation is the transfer of heat energy through space by electromagnetic radiation.
Answer:
Radiation transfers thermal energy from the Sun to Earth by electromagnetic waves. Electromagnetic waves can transfer energy with or without matter.
Step-by-step explanation:
How many times greater is the value 34.3 than the value 3.43? Explain your thinking
What is the result of converting 1500 yards into miles? Remember that 1 mile =1760 yards
1500 yards = 0.8523 miles.
To convert 1500 yards into miles:
Given: 1 mile = 1760 yards
Divide 1500 yards by 1760 yards to find the equivalent in miles:
1500 yards ÷ 1760 yards = 0.8523 miles
b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?
The mean tax-return preparation fee H&R Block charged retail customers last year was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees is $50.
Round your answers to four decimal places.
a. What is the probability that the mean price
for a sample of 30 H&R Block retail customers is within $8 of
the population mean?
b. What is the probability that the mean price
for a sample of 50 H&R Block retail customers is within $8 of
the population mean?
colise has 2 vases of flowers that each hold 10 red and 5 yellow roses. Michelle has the same total number of roses but in 3 vases . each vase has 6 red roses how many yellow roses is in each of michelles vase?
Jonah and his friends went to the movie theater. He bought a movie ticket, and he split the cost of a giant popcorn with his friends. Jonah's costs are represented by the expression 11+15x11+15x .
What do the different parts of the expression model?
Drag the parts of the expression into the boxes to match each description.
Cost of movie ticket Total cost of popcorn Jonah's portion of popcorn cost
15 x 15/x 11
Let
x--------> the number of friends
y-------->Jonah's costs
we know that
[tex]y=11+\frac{15}{x}[/tex]
where
The number of friends is -----------------------> [tex]x[/tex]
Cost of movie ticket is---------------------------> [tex]\$11[/tex]
Total cost of popcorn is-------------------------> [tex]\$15[/tex]
Jonah's portion of popcorn cost------------> [tex]\frac{\$15}{x}[/tex]
Answer:
Cost of movie ticket----- 1
Total cost of popcorn----- 15
Jonah's portion of popcorn cost------ 15/x
Step-by-step explanation:
The cost of the Jonah's costs are represented by the expression :
11+15\x
Now we have to match the expression to the explanation that they denote.
Let x be the number of friends among whom the pop-corn cost has to splitted.
As the total cost of popcorn is: 15
Hence, Jonah's portion of pop-corn is: 15/x
Also, he bought a movie ticket for 11.
Hence, the total cost that is paid by Jonah is: 11+15/x
A lollipop factory used 74.75 kilograms of sugar to make 2 batches of lollipops.how much sugar did the factory put in each batch? (Tape diagram)
Each batch of lollipops contains 37.375 kilograms of sugar.
Here, we have to represent the given information using a tape diagram, we'll draw two rectangles, each representing a batch of lollipops.
The total amount of sugar used, which is 74.75 kilograms, will be divided equally between the two batches.
Now, draw the tape diagram:
Batch 1: [----] (to be determined)
Batch 2: [----] (to be determined)
Now, we know that the total amount of sugar used is 74.75 kilograms.
We need to divide this amount equally between the two batches.
Since there are two batches, we can divide the total sugar by 2 to find the amount of sugar in each batch:
74.75 kilograms / 2 = 37.375 kilograms
So, each batch of lollipops contains 37.375 kilograms of sugar.
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-19=2w+9-6w
simplify your answer as much as possible.
w=___
Use the interactive tool to graph the line given the following information:
coordinates (1,–3)
slope of –2
Based on your investigation, what is the value of b for the point (0,b)?
Answer:
B= -1
Step-by-step explanation:
The dimension of a community garden are such that the length is 7 feet shorter than 5 times the width. Which equation models the area, in square feet, of the community garden in terms of its width, w?
a. A=w(5w-7)
b. A=w(7w-5)
c. A=5w(w-7)
d. A=7w(w-5)
what is the gcf of 378,132
50 POINTS FOR THE PERSON THAT ANSWERS CORRECTLY!!!!!!! Translate these coordinates 3 units to the right and then rotate 180 around the origin.
(2n−9)−5(−2.4n+4) find the difference
Answer:
Simplified Expression: 14n - 29
Work
2n-9-5(-2.4n+4)
2n-9+12n-20
14n-9-20
12n-29
14n - 29
The difference as in the expression is; 14n - 29
To determine the difference;
We must first open the second parenthesis by multiplying through by its coefficient as follows;
5(−2.4n+4) = -12n +20.Afterwards; we have;
(2n−9)−(-12n +20)= 2n -9 + 12n -20= 14n - 29
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Two trains leave the station at the same time one heading east and one heading west the eastbound train travels 80 miles per hour The westbound train was traveling 100 miles per hour how long will it take for the two trains to be 396 miles apart?
Help me plssss understanddddd thisssss pleaseeeee
how to solve it along with answer please
Lorraine writes the equation shown.
x² + y - 15 = 0
She wants to describe the equation using the term relation and the term function.
The equation represents,
A relation and a function
A relation but not function
A function but not a relation
Neither a relation nor a function
draw the following scenario using a vertical number line.
mary climbed up a ladder 24 feet to the second story of her house. she then climbed back down
Final answer:
To draw Mary's ascent and descent on a ladder, create a vertical number line from 0 to 24 feet to signify the height of the second story, then illustrate arrows for the ascent and descent.
Explanation:
To visualize Mary's movement on a ladder, we will draw a vertical number line. Let's assume the bottom of the ladder is at 0 feet. We will draw a number line up to 24 feet to represent the height Mary climbs to reach the second story of her house. Then, since Mary climbed back down, we would show her descent back to 0 feet. Here is how you can draw the scenario:
Start with a vertical line.Mark the bottom as 0 feet (this is where Mary starts and finishes).Mark a point at 24 feet (this is where the second story of her house is).Draw an arrow pointing up from 0 to 24 to represent Mary climbing up.Draw an arrow pointing down from 24 back to 0 to represent Mary climbing down.By following these steps, you will have a clear representation of Mary climbing up and down her ladder on a vertical number line.
The factors of 24 and 40 using a t chart like this the first one is done I just need help with the rest
Answer:
Step-by-step explanation:
Factors of 24:
1x24
2x12
3x8
4x6
and.......
Factors of 40:
1x40
2x20
4x10
5x8