Answer:
x = 4, -7
Step-by-step explanation:
1) Factor out the common term 5.
[tex]5( {x}^{2} + 3x - 28) = 0[/tex]
2) Factor x² + 3x - 28.
[tex]5(x - 4)(x + 7) = 0[/tex]
3) Solve for x.
x = 4, -7
Therefor, the answer is x = 4, -7.
Answer:
x = 4, -7
Step-by-step explanation:
1. Solve the equation using the quadratic formula
The Quadratic formula provides the solution for [tex]Ax^{2} +Bx+C=0[/tex]
in which A, B, and C are numbers (or coefficients), as follows:
[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
2. Determine the quadratic equation’s coefficients A, B, and C
The coefficients of our equation, [tex]5x^{2} +15x-140=0[/tex], are:
A = 5
B = 15
C = -140
3. Plug these coefficients into the quadratic formula
[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}=\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]
Calculate the expression inside the parentheses.
Simplify exponents and square roots.
[tex]\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{225-4x5x-140 } }{2x5}[/tex]
Perform any multiplication or division, from left to right.
[tex]\frac{-15+\sqrt{225-20x-140 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{225-2800 } }{2x5}[/tex]
[tex]\frac{-15+\sqrt{3025} }{2x5}[/tex]
[tex]\frac{-15+\sqrt{3025} }{10}[/tex]
to get the result:
[tex]x=\frac{-15+\sqrt{3025} }{10}[/tex]
4. Simplify square root
Simplify 3025 by finding its prime factors.
3025
/ \
/ \
5 605
/ \
/ \
5 "121"
/ \
/ \
11 11
The prime factorization of 3025 is 5² • 11²
Write the prime factors.
[tex]\sqrt{3025}[/tex] = √5 • 5 • 11 • 11
Group the prime factors into pairs and rewrite in exponent form.
√5 • 5 • 11 • 11 = [tex]\sqrt{5^{2}x11^{2} }[/tex]
Use rule [tex]\sqrt{x^{2} }[/tex] = x to simplify futher.
[tex]\sqrt{5^{2}x11^{2}}[/tex] = 5 • 11
5 • 11 = 55
5. Solve the equation for x
x = [tex]\frac{-15+55}{10}[/tex]
The ± means two answers are possible:
x = 4
or
x = - 7
Mariel says that a jewelry box that is 3 inches high, 4 1/2 inches wide, and 5 inches long has a volume of 67 1/2 inches. Katie says that answer is not quite correct. What is the error in Mariel's answer?
Answer: inside width, length and heights may be smaller
Step-by-step explanation. Walls of box have certain thickness, assume 0.1 inches. Then inner measures would be 2.8 in, 4.3 in and 4.8 in. You need to reduce thickness of wall from both sides.
How many angles do 5 triangles and 3 rectangles have?
(1) 7
(2) 17
(3)
18
(4) 27
Answer:
27
Explanation:
5 * 3 = 15 (5 triangles with 3 angles each)
3 * 4 = 12 (3 rectangles with 4 angles each)
15 + 12 = 27
Answer:
the answer is 27 because a triangle has 3 sides so multiply 3 tomes 5 because of how many triandles and then the same with the rectangle that has 4 sides then multiply by 3 because of the number of triangles you have
The millers are going to put a pool in their backyard this summer. The pool will have a depth of 5 feet, and the dimensions shown in the picture. What will be the total volume of water needed to fill the pool?
Answer:
D : 510 units
Step-by-step explanation:
NOTE:
Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)
WORK:
I broke down this shape into two rectangles with the following dimensions:
- 12 meters by 5 meters
- 3 meters by 14 meters
You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)
Using this information, you can now solve for the volume of each of the rectangles
12*5*5 = 300 units
3*14*5 = 210 units
Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals
510 units
ANSWER ASAP PLZ
Which statement is true based on the diagram?
O PQR - STR
O RST ~ RQP
O QR corresponds to TR.
O PR corresponds to RS.
Answer: B
O RST ~ RQP
Step-by-step explanation:
The statement that is true based on the diagram is: "QR corresponds to TR."
Based on the given information, we have the following:
1. PQ = 8 cm
2. QR = 12 cm
3. RT = 18 cm
4. ST = x cm (length not specified)
Now, let's analyze the statements:
1. [tex]\( \triangle PQR \sim \triangle STR\)[/tex] - This statement is not necessarily true because we don't have enough information to determine if the two triangles are similar.
2. [tex]\( \triangle RST \sim \triangle RQP\)[/tex] - This statement is not necessarily true because we don't have enough information to determine if the two triangles are similar.
3. QR corresponds to TR - This statement is true based on the fact that QR and TR are corresponding sides of the triangles [tex]\(\triangle PQR\)[/tex] and [tex]\(\triangle STR\)[/tex] that are intersected by transversal QRST.
4. PR corresponds to RS - This statement is not necessarily true because we don't have enough information to determine if PR and RS are corresponding sides of the triangles [tex]\(\triangle PQR\)[/tex] and [tex]\(\triangle STR\)[/tex].
So, the correct answer is: QR corresponds to TR.
To know more about diagram, refer here:
https://brainly.com/question/29251917
#SPJ6
A candy bag contains 12
green candies and 1
blue candy. Preston will choose 2
candies from the bag without looking.
Which answer describes a possible event?
choosing 2
2
blue candies
choosing 2 blue candies
choosing 1
1
blue and 1
1
red candy
choosing 1 blue and 1 red candy
choosing 2
2
red candies
choosing 2 red candies
choosing 1
1
blue and 1
1
green candy
Answer:
choosing 1 blue and 1 green candy or choosing 2 green candies
Find the surface area of this cube Be sure to include the correct unit in your answer
i dont really understand this pls help me ill give you brainly and 5 stars and a heart
Answer:
Which cube?
Step-by-step explanation:
................
Write 40673 to the nearest thousand.
Answer:
50000
Step-by-step explanation:
Answer:
41000
thank me later have a great day
Aaron currently earns $1,400 per month working. Each year he will get a $150 per month raise. How much money will Aaron earn per month in 7 years?
the correct answer is 10290000
Answer:
130,200
Step-by-step explanation:
Earnings for 7yrs= $1,400 × 12 months × 7yrs
= $117,600
Raise for 7 yrs= $150 × 12 months × 7yrs
=$ 12,600
Earnings in 7yrs= $117,600 + $12,600
= 130,200
10 1/8 +2 1/4
Show work please
and no links
Step-by-step explanation:
Please refer to the attachment
a researcher read a 12 page article in 30 mintues. on average, how much time did the researcher spend reading each page of the article? (1 minute = 60 seconds)
SOLVE FOR X!!
(will mark brainliest)
Answer:
19
Step-by-step explanation:
Since it is a 90° angle we can say that 3x-15+2x+10 = 90.
3x-15+2x+10 = 90
5x-5=90
5x=95
x=19
By solving this we find that x is equal to 19.
Answer:
19
Step-by-step explanation:
3*19 = 57
57 - 15 = 42
2*19 = 38
38 + 10 = 48
48 + 42 = 90
(As this is a 90 degree angle)
A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag
complete one column of the table with prices where popcorn is priced..... and to be continue
Answer:
The price for a 60-ounce bag of popcorn would be $16
Step-by-step explanation:
Answer:
The price for a 60-ounce bag of popcorn would be $16
Step-by-step explanation:
Function Modeling
The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.
The selection of the model is often a complex decision that involves statistics and data analysis.
The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.
The equation of a line of the volume V and the price p can be found with the expression
We'll use the first two values (6,10) (8,20)
Simplifying and rearranging, we get the model
To test the accuracy of the model, we compute the values of p for V=35 and for V=48
Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60
The price for a 60-ounce bag of popcorn would be $16
Help needed ASAP!! I will give brainliest! (You don’t need to plot the graph)
Answer:
first one y: -3, 0, 3, 6, 12
second one y:5, 2, 0, 2, 5
Step-by-step explanation:
for the first one the equation is y=3x
so when it goes as x:-1, 0, 1, 2, 4
so you should multiply each number by 3 as the equation does
(just replace each number by x in the equation)
so y: -3, 0, 3, 6, 12
next one: equation is y=[tex]x^{2}[/tex]+1
so do the same as up there: replace x with every number
x:-2, -1, 0, 1, 2
so y will be
y:5, 2, 0, 2, 5
How many even numbers less than 1000 can be formed from the given
digits 0,2,3,5 if repetition is not allowed.
(a) 16
(b) 24
(c) 6
(d) none of these
Answer:
non of them it should be 32 iʻm pretty sure
Step-by-step explanation:
The average number of televisions per family is numbered in the tens.
A. True
B. False
Answer:
False!
~The Average number of TVs in a house is 2 - 3
Hope this helps!
Answer:
False.
The average number of televisions per family would have to be more than ten for it to be true, and I find this very hard to believe.
Hope I helped!
Find the slope of the line that passes through (10, 2) and (1, 6).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The ratio of the interior angles of a triangle is 2 : 3 : 4. What are the angle measures? Write the angle measures from least to greatest.
9514 1404 393
Answer:
40°, 60°, 80°
Step-by-step explanation:
The total of ratio units is 2+3+4 = 9.
The total of angles in a triangle is 180°, so each ratio unit stands for 180°/9 = 20°.
The angle measures are ...
20° × 2 = 40°
20° × 3 = 60°
20° × 4 = 80°
If you are asked to complete 5 sit-ups for every 9 push-ups you complete, answer each of the following questions:
Write the ratio of push-up’s to sit-ups three different ways.
_____________ ____________ ____________
If you complete 36 push-ups, how many sit-ups did you complete?
____________
If you complete 95 sit-ups, how many push-ups did you complete?
_____________
Answer:
1)5:9 ,5 of 9 5/9 2) 36x5 3) 95x5
Which function describes the graph below?
X
1. What is the value of x?
40
х
9
A.41
B.26
C.17
D.39
Answer:
B
Step-by-step explanation:
You have 26 songs in your MP3 player. After you add some more, you have 39 songs. How many songs did you add?
A. -13
B. 13
C. 65
D. 23
Answer:
b
Step-by-step explanation:
39-26 = ?
39
-26
____
13
you added 13 songs.
The system shown is
O
inconsistent
•
equivalent
consistent
Answer:
This is pogers
Step-by-step explanation:
What is ur minecraft usernaem
Answer:
consistent
A consistent and independent solution to a system of linear equations is one point
A consistent and dependent solution to a system of linear equations is where they are the same line ( they could also be called equivalent)
An inconsistent solution is where there is no solution, the lines do not cross
Since the lines cross at exactly one point, this is a consistent and dependent solution
The solution is at x = 3 ( 3 units to the right of the origin)
and y = 2 ( 2 units up from the origin)
Step-by-step explanation:
WILL MARK BRAINLIEST
Hannah jumps rope 300 times. Sharon jumps rope 179 times. How many more times does Hannah jump rope than Sharon? Click on the numbers to enter the answers in the boxes
Answer:
121
Step-by-step explanation:
300
-179
-------
121
Amelia earned $100 on a $1000 investment with a bank for a 3-year term. what rate did the bank offer her?
Answer:
3.33%
Step-by-step explanation:
Rate = 100xSI / PxT
P = 1000
SI = 100
T = 3
Rate = 100 x 100 / 1000 x 3 = 3.33%
Does anyone know????????
Answer:
1) -3/2
Step-by-step explanation:
The common ratio is the amount you multiply by to get to the next number in the sequence. To calculate this you will need to divide the term by its preceding term.
For example (3/4) / (-1/2)
When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (3/4) x (-2/1) = -3/2
Check this by doing the next term (-9/8) / (3/4)
When dividing by fractions you should apply KCF (Keep Change Flip), so you will end up with (-9/8) x (4/3) = -3/2
Classify the solid figure.
O A. rectangular prism
O B. rectangular pyramid
O C. cylinder
O D. quadrilateral
HELP MEEE
Is this a complementary, supplementary, vertical, or adjacent
ill give brainly
Answer:
its complemtary
Step-by-step explanation:
check this photo
sin430° x sin490° x sin530° = 1/8
Answer: 1/8
Step-by-step explanation:
https://math.stackexchange.com/a/1788346
Choose all that apply!! i’ll give a brainly!!
Step-by-step explanation:
The answer is A
PLEASE FOLLOW ME
If you roll a 6-sided die 54 times, what is the best prediction possible for the number of times you will roll a one?
Answer:
50% of the time (27 times) you will get an even number
Step-by-step explanation:
sorry if it wrong