The number is 5, the equation used is [tex]x^{2}[/tex] - x - 20 = 0
Let x be the number which is between 1 to 10.
From the question we get to know the equation:
(x-3)(x +2) = 14
x(x+2) -3(x+2) =14
[tex]x^{2}[/tex] +2x -3x - 6 =14
[tex]x^{2}[/tex] - x - 6 =14
[tex]x^{2}[/tex] - x - 20 = 0
This is the equation used to solve for Kevin's number.
Now we have to find the value of x.
[tex]x^{2}[/tex] - 5x + 4x -20=0
x(x-5) + 4(x-5) = 0
(x-5)(x+4) = 0
x = 5, -4
Hence we get two values of x which is 5, -4. But we have to find the number between 1 and 10.
Hence from the value of 5 and -4 , the number is 5 which is between 1 and 10 as -4 is not in the range of 1 to 10.
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The complete question is:
a number from 1 to 10. the product of 3 less than this number and 2 more than this number is equal to 14. which equation could be used to solve for kevin's number, x?
a) [tex]x^{2}[/tex]- x - 6 =0
b) [tex]x^{2}[/tex] - x - 20 = 0
c) [tex]x^{2}[/tex]- 6x + 14 =0
d) [tex]x^{2}[/tex] - x + 8 = 0
Write an algebraic expression for the statement: the income earned at $9.25 per hour for x hours
Answer:
9.25x
Step-by-step explanation:
which measurements best approximate the lengths of the legs, to the nearest tenth of a centimeter, of a right triangle if the hypotenuse is 70 cm and the shorter leg is one-third the length of the longer leg?
The length of the base will be equal to 65.99 centimeters.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The formula for the Pythagorean theorem is given below:-
H² = B² + P²
Given that in a right triangle if the hypotenuse is 70 cm and the shorter leg is one-third the length of the longer leg.
P = 70/ 3 cm
H = 70 cm
The value of the leg will be calculated as:-
H² = B² + P²
70² = B² + (70/3)²
B² = 70² - (70/3)²
B = √4355
B = 65.99 cm
Therefore, the length of the base will be equal to 65.99 centimeters.
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Someone please help me on #3 and 4 they are different problems. Please help me how to solve this step by step. (Sorry about the bad picture.)
If f(x)=12x+4, what is f(2)? If it does not exist,enter DNE.
Answer:[tex]f(2) =28[/tex]
Step-by-step explanation:
When it says f(2), it means to plug 2 into the x in the function f(x), so therefore:
[tex]12(2)+4\\\\24+4\\\\28[/tex]
The shaded diagram represents a block of land.
What is the area of the block?
By using Heron's formula and standard formula for the area of a triangle, the area of the composite figure is 921006.497 square meters.
What is the area of a composite figure?
In this problem we must determine the area of a composite figure, which consists in subtracting the area of an isosceles triangle from the area of the equilateral triangle:
Big triangle
The area of the big triangle is determined by Heron's formula:
s = [3 · (520 m)] / 2
s = 780 m
A = √[(780 m) · (1560 m - 520 m)³]
A ≈936693.077 m²
Small triangle
H = (520 m) · sin 60°
H ≈ 450.333 m
h = 450.333 m - 390 m
h = 60.333 m
A = 0.5 · (520 m) · (60.333 m)
A = 15686.580 m²
Then, the area of the composite figure is 921006.497 square meters.
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he second of a triangle is 6 more than the first angle. The third angle is 12 less than the first angle. Find all three angles if the sum of their angles is equal to 180°
Answer:
Let first angle be x
x+x+6+x-12=180°
3x-6=180°
3x=186
x=63°
First angle=63°
Second Angle=69°
Third angle=51°
Hope it helps you
WILL GIVE U MORE POINTS BY BRAINLIEST
Answer:1.75
Step-by-step explanation:
7x+8=3x+15
4x+8=15
4x=7
x=1.75
$72 is 4.5% of what amount
$72 is 4.5% of 6.25 amount. 6.25 Percentage of 72 is 4.5.
By considering the given information
[tex]72\times x=4.5\\x=\frac{4.5}{72}\times 100\\ x=6.25[/tex]
A number or ratio that can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it. percent, which is a relative value used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
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$72 is 4.5% = $3.24
Solution :
The percentage is a rate or proportion per hundred,
The percentage is also used more generally to mean any proportion, as in Studies have shown that a large percentage of people love cute animals.
A percent is one one-hundredth (1/100) of something. The percentage refers to the rate or proportion of that one hundred. Usually, you will see the word percentage used in math equations or statistics or when someone is measuring the increase and decrease in rates
$72 is 4.5% =?
$72 is 10% = $7.2
$72 is 5% = $7.2 /2 = $3.6
$72 is 1/2%= $72 * .5/100 = $.72*.5 = $ 0.36
$72 is 4.5% = 5% - .5% = $3.6- $.36 = $3.24
$72 is 4.5% = $3.24
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I need help its due tmr
Answer:
1. 27
2. 18
3. 905.400
4. 6.830
Step-by-step explanation:
Any number (ending number/last number) with 1,2,3,4 is rounded down, and any number (ending number/last number) with 5,6,7,8,9 is rounded up.
1. It is closer to 27.
2. it is closer to 18.
3. It is closer to 905.400
4. It is 6.825 which ends in 5 so it is rounded up.
Quadrilateral ABCD is dilated at center (0, 0) with scale factor to form quadrilateral 1/2; A^ prime B^ prime C^ prime D^ prime . What is the length of overline A^ prime B^ prime ?
The length with scale factor to form quadrilateral 1/2, A'B' is √5 units when AB is √20.
What is distance formula?The formula to find the distance between the two points is usually given by
d=√((x2 – x1)² + (y2 – y1)²).
Given :
Quadrilateral ABCD is dilated at the center (0,0) with a scale factor of 1/2 to form quadrilateral A'B'C'D'.
Points - A(0,4), B(4,2), C(4,-4), and D(-2,-2).
So, the points of the quadrilateral ABCD becomes:
A' (0, 2)B' (2, 1)C'( 2, -2)D'(-1 , -1)So, length of A'B'
AB = √(4-0) ² +(2 -4)²
AB = √16 + 4
AB = √20
AB = 2√5
A'B' = 1/2 AB
A'B' = √5
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SOMEONE HELP ME BEFORE I PASS OUT
1. |X|≤8
2. |X|≤27
Answer: 1. [-8, 8]
2. [-27, 27]
Step-by-step explanation:
1. |X|≤8
x≤8 or x>=-8
-8<=x<=8 ==> [-8, 8]
2. |X|≤27
x≤27 or x>=-27
-27<=x<=27 ==> [-27, 27]
state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive, and converse are true. (a) if 3 is a prime number then 5 is an even number. (b) if 7 < 5, then 5 < 3.
The inverse is the false and the Converse is the true.
According to the statement
We have to find that the contra positive, and converse are true.
So, For this purpose, we know that the
A conditional statement may be a statement which will be written within the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is named the hypothesis and Q is termed the conclusion.
From the given information:
if 3 could be a prime quantity then 5 is a fair number.
Then
a) Inverse: If 3 isn't a primary number, then 5 isn't a fair number. (True)
Contra positive: If five isn't an excellent number, then 3 isn't a main number. (False)
Converse: If 5 is a good number, then 3 may be a prime quantity. (True).
And
b) if 7 < 5, then 5 < 3
This statement is that the false because the primary statement is that the false.
So, The inverse is the false and the Converse is the true.
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What is 80% of 63? Do not round your answer.
Answer:
What is 80% of 63?
50.4 is the right answer
Please Help
Thanks In advance
Answer:
4
Step-by-step explanation:
you do cross multiplication
you do 3x12÷9
2(3x-2)-4x+1= 9 solve for x
Which statement is true?
The Mississippi River in Iowa is at an elevation of 279 and Death Valley, in California is at an elevation of -282 feet. Which statement is true?
A |279| > |-282|
B |279| < |-282|
C 279 = 282
D 279 < -282
Answer:
Step-by-step explanation:
if we consider mod then the negative turns to positive and positive remains positive so it will be
279 < 282 which is l279l < l-282l
5f+2h=100
Solve for F
Solving for the variable gives f = 100 - 2h/5
What is subject of formula?Subject of formula can be defined as the variable that is expressed in terms of other variables in a given expression, function of equation.
It is the variable worked out in an equation and left to stand on its own on one side of the equality sign
Given the equation;
5f+2h = 100
To make 'f' the subject of formula, we take the following steps;
Take '2' over the equality sign
5f = 100 - 2h
Now, let's make 'f' the subject by dividing both sides by its coefficient which is 5
We have;
5f/5 = 100 - 2h/5
Divide through
f = 100 - 2h/5
Thus, solving for the variable gives f = 100 - 2h/5
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Can someone please help mee (20 points
brainliest!!!)
Answer:
60,000
Step-by-step explanation:
going straight across the line we can see that for $140 the demand in thousands 60
so
you can buy 60,000 units
Answer:
60 because oficial the line goes to 60
Kayla started a book club at her school. The number of girls in the book club was one more than twice the number of boys. If there are 21 girls in the book club, how many boys are in the club?
Answer:
10
Step-by-step explanation:
(21-1)/2
i need help with this
Examine the diagram.
XX
15
3/7
26
4 8
Angle 4 and angle
angles.
are alternate interior
Answer:
angle 5
Step-by-step explanation:
Given transversal x crossing lines y and z and angles numbered 1 to 8, you want the number of the angle that is an alternate interior angle to angle 4.
Alternate interior anglesIn this context, "alternate" mean the angles are on opposite sides of the transversal. "Interior" means the angles are between the lines the transversal crosses.
The term "alternate interior angles" is used to refer to angles that have their vertices at the intersection points where the two lines cross the transversal. (It excludes angles that have the same vertex, or do not share a side.)
The angle that is an alternate interior angle relative to angle 4 is angle 5.
URGENT 1000 POINTS. BRAINLIEST GIVER...
(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11 in scientific notation. explain step by step!
Answer:
see image.
Step-by-step explanation:
Basically, what's happening here is you are adjusting one of the terms so that they both have the same exponent. Then you can factor out that 10^11 term and just add the two remaining terms.
see image.
will the sum of 5 + (-2) be positive or negative? what is the sum? show your work.
Answer:
positive the answer is 3
Step-by-step explanation:
Bashir was out at a restaurant for dinner when the bill came. His dinner came to $32.
After adding in a tip, before tax, he paid $39.36. Find the percent tip.
Answer:
23%
Step-by-step explanation:
39.36-32=7.36
7.36/32=.23
23 percent
can someone please help me or imma get an F! :')
Answer:
17,84,9,34,71,35,18
Step-by-step explanation:
describe and illustrate the situation when the minimum of a two variable function can be placed higher than its maximum. what type of extrema is this?
For the rare case that the outcome of the second derivative matrix examination is inconclusive, higher order derivatives have to be examined.
What do math extrema mean?
Any point in calculus when the value of a function is either the highest (a maximum) or the lowest (a minimum) (a minimum). There are maxima and minima that are both absolute and relative (or local).Identify every stationary point. The solution set that results from setting the partial first derivatives to zero includes those points.Look at each stationary point's personality. This is done explicitly in the first case by looking at the eigenvalues of the second derivative matrix. The fact that there are quick formulas for this if there are just two variables, is superior.Higher order derivatives must be investigated in the improbable event that the results of the second derivative matrix study are ambiguous. Sadly, no set recipes can be developed in this situation; rather, each function must be considered individually.Learn more about extrema mean
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Please help with this. I have to finish it today
Note: can you make it where i can say it Infront of my class?
Answer:
The coordinates of W,X,Y,Z are W= (3,4) X= (1,4) Y= (2,1) Z= (4,2)
Step-by-step explanation:
When you reflect the coordinates to the other side of the graph, you get these^^^^ coordinates.
Alf earns £9.00 per hour and works 33 hours each week. He spends a total of £24.40 each week travelling to and from work. Next month he is getting a 4% pay rise but his travel costs are increasing by 15%.
How much extra will he have each week?
Answer:
£8.22
Step-by-step explanation:
9x33=£297
297-24.40=£272.60
297×4%=£11.88
297+11.88=£308.88
24.40×15%=£3.66
24.40+3.66=£28.06
308.88-28.06=280.82
280.82-272.60=£8.22
What proportion of sample size n =10 will have a mean salary greater than $60,000
Answer:
n/10 x 10/60,000
Step-by-step explanation:
I think it's right please don't report
Answer:
N/10 x 10/60,000
The cost c of a shirt is less than $27. 50.