Mathematics High School
Answers
Answer 1
Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: [tex](7x+4)[/tex] and [tex](x-1)[/tex]
How to find the factors of a quadratic expression?
If the given quadratic expression is of the form [tex]ax^2 + bx + c[/tex],
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
[tex]b = \alpha + \beta \\ ac =\alpha - \beta[/tex]
The given expression is [tex]7x^2 - 3x - 4[/tex]
Comparing it with the standard form of quadratic expression [tex]ax^2 + bx + c[/tex], we get: a = 7, b = -3, c = -4
ac = -28
-28 = -2 times 14
-28 = -7 times 4 (-7 + 4 = -3 = b)
Thus, [tex]\alpha = -7, \beta = 4[/tex]
Thus, we get:
[tex]7x^2 - 3x - 4 = 7x^2 - 7x + 4x - 4 = 7x(x-1) + 4(x-1) = (7x+4)(x-1)\\7x^2 - 3x - 4 = (7x+4)(x-1)[/tex]
Thus, The factors of given expression are: [tex](7x+4)[/tex] and [tex](x-1)[/tex]
Learn more about factor of quadratic equation here:
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Answer 2
Answer:
Step-by-step explanation:
Related Questions
Please please please help me I need help please please help for real
Answers
Answer:
y = - 1/2 x -3
Step-by-step explanation:
y= 1/2 x + 3
reflected on the x-axis (y=0)
thus the gradient changes SIGN but the magnitude remain the same.
the y-intercept changes SIGN but the magnitude remain the same.
therefore, equation is y = - 1/2 x -3
I need help with this bisector equation
Answers
Answer:
70°
Step-by-step explanation:
angle abc =140°
and bd bisected by bd so, bd divede angle abc.
angle dbc= angle abc / 2
angle dbc=140°/2
angle dbc=70°
is y = -3(2)^x a exponential growth or decay
Will Give Brainlest!!!!!!!!
Answers
Answer:
i thithink itsits growth
Step-by-step explanation:
7% of 1,350 and gratuity of 15%
Answers
Answer:
7% of 1,350
= 94.5
Step-by-step explanation:
7% = [tex]\frac{7}{100} = 0.07[/tex]
1350 x 0.07
= 94.5
1. A spring is oscillating vertically according to the equation y = 3cos(2t –z), where y is the displacement in feet and t is time in seconds. At what time
will the spring be 2 ft. High? Round your answer to the nearest tenth of a second.
51. 3 seconds
4. 1 seconds
25. 7 seconds
O
10. 6 seconds
Answers
The time the spring be 2 ft high is 25.7 seconds
Since the spring is oscillating vertically according to the equation y = 3cos(2t – π), where y is the displacement in feet and t is time in seconds.
We need to find the time when the spring is 2 ft high. So, y = 2.
Since y = 3cos(2t – π)
The time for the spring to be 2 ft high
Making t subject of the formula, we have
y/3 = cos(2t – π)
2t – π = cos⁻¹(y/3)
2t = π + cos⁻¹(y/3)
t = [π + cos⁻¹(y/3)]/2
Substituing y = 2 into the equation, we have
t = [π + cos⁻¹(y/3)]/2
t = [π + cos⁻¹(2/3)]/2
t = [π + cos⁻¹(0.666)]/2
t = [π + 48.19]/2
t = [3.142 + 48.19]/2
t = 51.332/2
t = 25.67
t ≅ 25.7 seconds
The time the spring be 2 ft high is 25.7 seconds
Learn more about spring oscillating here:
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Answer:
Trigonometric Identities and Applications Review Practice
1. b, d, f
2. a, c, e
3. B sec^2x-1
4. B
5. A
6. A
7. D
8. a, b, d
9. D 53.1
10. B ....a>b
11. A 26ft
12. a,b,c
13. C 2.0 sec (this question)
14. C subtract 3 tan...
15 D no, .... has two solutions
Step-by-step explanation:
just took the practice and for anyone who needs help :)
What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?
Answers
Answer:
(same slope)+12
Step-by-step explanation:
well, 12 is the y-intercept, thus making it B. And because the line is parallel it has the same slope as the given line
help me..........................
Answers
6 d
7 b
8 a
9 c
10 b
11 don’t know
12 don’t know
13 b
14 don’t know
15 b
System of equations using substitution
X=-2y+4
2x+4y=8
Answers
Answer:
The system has many solutions, equation 1 is same as equation 2. You now just have one equation with 2 unknowns, it have infinity solutions.
Question Help At a graduation dinner, an equal number of guests was seated at each of 6 large tables, and 8 late-arriving guests were seated at a smaller table. There were 68 guests in all. If n represents the number of people seated at each of the large tables, what equation could you use to find the value of n?
A. 8n +6 = 68
B. 6n +8 = 68
C. 8n - 6 = 68
D. 6 - 8 = 68
Answers
B.
This is because there were 6 large tables and our variable “n” represents the number of people seated at each of the large tables . 8 late people were seated at smaller tables so you add 8. That number is equal to the 68 guests in all .
What is the volume of a storage container that measures 14 ft long,ft wide, and ft high?
Answers
Answer:
2744 ft^2
Step-by-step explanation:
volume= length x width x height
14 x 14 x 14 = 2744
112+4x+3x+12=180
Please help
Answers
Answer:
x is 8
Step-by-step explanation:
combine like terms so 112 + 12 is 124 and 4x + 3x is 7x. subtract 124 from 180 and you get 56. 7x divided by 7 is x and 56 divided by 7 is 8 so x = 8
x = 8
explanation:
- combine like terms (112+12) (4x+3x) =
124+7x=180
- subtract 124 from 180 =
7x = 56
- divide 56 by 7 =
x = 8
:)
The graph below shows the solution to which system of inequalities?
Answers
Answer:
Step-by-step explanation:
C should be the correct answer
Answer:
x [tex]\geq[/tex] -3 and y > - x
good am to all :D
hehe
Answers
Answer:
Step-by-step explanation:
Is this a question, joke, or what?
find the surface area of the trianglar prism
Answers
Answer:
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism
Find the surface area of the cylinder. Round your answer to the nearest tenth.
Answers
Answer:
87.9[tex]m^2[/tex]
Step-by-step explanation:
Surface area of a cylinder: 2*π*r*h + 2*π*[tex]r^2[/tex]
π = 3.14
r = 2mm
h = 5mm
A = 2*π*r*h + 2*π*[tex]r^2[/tex]
2*3.14*2*5 + 2*3.14*[tex]2^2[/tex](4)
62.8 + 25.12
87.92[tex]m^2[/tex] rounded to the nearest tenth is 87.9[tex]m^2[/tex]
Hope this helps!
Answer the question below.
Answers
Answer:
25 3/5
Step-by-step explanation:
I'm not sure if this is correct but if I'm not mistaken jack said each.
This means you would need to multiply in order to get your answer.
Here is the work. (sorry for the big gaps.)
8 × 16
------- = 128/5.
1 × 5
Simplify 128/5
128/5=25 3/5
This means that jack is incorrect.
If i'm not correct please let me know.
There are 300 students in the 6th grade class, 4 are running for class president. Which type of survey below would give valid results?
A. survey three 6th graders
B. survey six 6th graders
C. survey ten 6th grades
D. survey thirty 6th grades
Answers
Answer:
D. survey thirty 6th grades
Step-by-step explanation:
In order to choose the class president, you need to get opinions of multiple students.
pls mark brainliest!
Can someone help me with this?
Answers
First box: 50
Second box: 60
First you write the number in numerical order (from least to greatest):
3,3,4,6,7
Median is the middle number (which is 4)
So our answer is 50 ≤ age < 60
Hope this helps!
The length of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x2 − 4x 13. Which of the following shows the area of the rectangle in terms of x? (L • W)(x) = 10x3 − 4x 13 (L • W)(x) = 10x3 − 20x2 65x (L W)(x) = 2x2 1x 13 (L W)(x) = 2x2 − 9x 13.
Answers
The area of the rectangle is [tex]10x^3 - 20x^2 + 65x[/tex]. Option B shows the correct area of the rectangle.
What is the area of a rectangle?
The area can be defined as the space occupied by a flat shape or the surface of an object. The area of a rectangle is the product of its length and width.
Area of Rectangle = Length [tex]\times[/tex] Width
Given that length of a rectangle is L(x) = 5x and width is W(x) = 2x^2 − 4x + 13.
The area of the rectangle is given below.
[tex]A =(L \times W)(x) = L(x) \times W(x)[/tex]
[tex]A = (5x) \times (2x^2 - 4x +13)[/tex]
[tex]A = (5x \times 2x^2 ) - ( 5x \times 4x) + (5x \times 13x)[/tex]
[tex]A = 10x^3 - 20x^2 + 65x[/tex]
Hence we can conclude that the area of the rectangle is [tex]10x^3 - 20x^2 + 65x[/tex]. Option B shows the correct area of the rectangle.
To know more about the area of a rectangle, follow the link given below.
https://brainly.com/question/14383947.
CORRECT ANSWER WILL GET BRAINEST (50 points)
Together, teammates Pedro and Ricky got 2679 base hits last season. Pedro had 275 more hits than
Ricky. How many hits did each player have?
Answers
Answer:
Pedro had 1,479 base hits and Ricky had 1,200 base hits :)
Step-by-step explanation:
Rick had 1,202 hits and Pedro had 1,477.
Let's put this into steps:
⇒ 2679-275=
⇒2404
⇒2402/2=
⇒1202
We have Ricky's number of hits. Now we keep going for Pedro's.
⇒1202 +275=
⇒1477
You can tell if it's their numbers by adding them together and getting 2679 back.
Hence, Ricky had 1,202 hits and Pedro had 1,477.
SOLVE FOR X IN THE DIAGRAM BELOW PLS HELP
BRAINLIEST
Answers
Answer:
x=6,25
Step-by-step explanation:
8x=50
8÷8 which we will be only left with x and then 50÷8 will give us 6,25
The awnser is 5 as you 90-50=40 40/8=5
Most decks of playing cards contain 4 suits - hearts, clubs, diamonds, and spades. If you choose one card from the deck at random, what is the probability that it will be from the suit hearts
Answers
Answer:
1/4
Step-by-step explanation:
there are only four suits and an equal number of cards from each suit, which makes 13 hearts, clubs, spades, and diamonds, so the chance for one of them to be chosen is 13/52, which is reduced to 1/4, or 25 percent.
have a good day friend :)
Select the correct answer. Which statement describes the effect of inflation on purchasing power? A. As the rate of inflation remains constant, purchasing power increases. B. As the rate of inflation remains constant, purchasing power stays the same. C. As the rate of inflation increases, purchasing power increases. D. As the rate of inflation increases, purchasing power decreases.
Answers
Answer:
D
Step-by-step explanation:
more money for everyone = higher price of goods
P and Q are points on the line 2y-5x=10
a) complete the coordinates of P and Q
Answers
Answer:
P(0; 5)
Q(-2; 0)
Step-by-step explanation:
Let x=0
2y=10
Devide both sides by 2 then x=5
Let y=0
-5x=10
Devide both sides by -5 then x= -2
Answer:
Step-by-step explanation:
ato 5. The ratio of employees who own a red car to employees who own a black car is 1:5. If there are 6 employees who own a red car, how many employees own a black car?
Answers
Answer:
30
Step-by-step explanation:
Ratios always remain proportionate. In this case, the simplified ratio has 1 red car. The question tells us that there are 6 cars. 6 is 6 times bigger than 1; thus showing that the ratio has increased by a factor of 6. If one side of the ratio increases by a factor of 6, then the other side must also increase by a factor of 6. Since 5*6=30, there must be 30 employees that own a black car.
i'm struggling with another problem can anyone help? (this is 6th grade work)
Answers
the answer is c, since she has 3 1/2 yards divided by 3/4 yards per ribbon, she has enough ribbon to make 4 bows with an extra 2/3 yards of ribbon left
What is 1/3 of 6 fraction
Answers
Answer:
2
Step-by-step explanation:
We can write 1/3 of 6 as 1/3 × 6
To multiply fractions we use the following steps:
Multiply the numerators.
Multiply the denominators.
Reduce the resultant fraction to its lowest terms.
Now,
1/3 × 6 = (1 × 6) / 3 = 6/3 = 2
Answer: 2
Step-by-step explanation:
6/3 = 2
Divide by three because you want 1/3.
Determine mrs Chauke's annual income if she earns 32040 per month
Answers
Answer:
Mrs Chauke's annual income= $384480
Step-by-step explanation:
Mrs Chauke earns 32040 every month and we need to find the annual income which is how much she earns in a year. 12 months in a year, so
12 times 32040 is 384480
Answer:
384,480
Step-by-step explanation:
32040 x 12 = 384,480
If 11% is lost on books sold at 10. 68 rs what was the cost price of the books, at what price should they be sold at to yield a profit of 10%
Answers
Answer:
CP = Rs 500
Step-by-step explanation:
Given that,
Selling price of a book, SP = Rs 550
Profit percent = 10%
We need to find the cost price of the book. The formula for profit percent is given by :
Walmart is selling bikes for 20% off the regular price for $55. Kmart is selling their bikes for 25% off the regular price of $65. which is a better deal? why?
Answers
Answer:
Walmart has the better deal.
Step-by-step explanation:
Hi there!
To solve this question, we could find the final price of a bike from Walmart and Kmart, compare them, and identify which is less.
Walmart
Original price: $55
Deal: 20% off
55 × 0.8 = 11
A bike from Walmart costs $44.
Kmart
Original price: $65
Deal: 25% off
65 × 0.75 = 48.75
A bike from Kmart costs $48.75.
$44 < $48.75, so therefore, Walmart's deal is better.
I hope this helps!
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