Answer:
Step-by-step explanation:
Rewrite x2 + 15x = -57 as x^2 + 15x + 57 = 0, in which the coefficients of this quadratic are {1, 15, 57}.
Then the discriminant is b^2 - 4ac = 225 - 4(1)(57) = -3
Because the discriminant is negative, we know that the two roots will be complex. They are:
-15 ±i√3
x = ---------------
2
9514 1404 393
Answer:
x = -7.5 ± i(√3)/2
Step-by-step explanation:
We can add (15/2)² to complete the square:
x² +15x +(15/2)² = -57 +(15/2)²
(x +7.5)² = -0.75
x +7.5 = ±i(√3)/2 . . . . take the square root
The roots are ...
[tex]x=\displaystyle\left \{ {{-\dfrac{15}{2}+i\dfrac{\sqrt{3}}{2}} \atop {-\dfrac{15}{2}-i\dfrac{\sqrt{3}}{2}}} \right.[/tex]
here are two receipts from a meal in a restaurant one persons subtotal is $24.95 if the tax rate at the restaurant is 9.5% how much will their sale tax be?
Answer:
$24.95X.095=$2.37
Answer:
Step-by-step explanation: 3.27
Write the equation of the line passing through the points (2,-5) (3,-1)
Answer:
they give you two points... so use the point slope formula with one on the points
y - y1 = m ( x - x1)
Step-by-step explanation:
find the slope m
m = y2 -y1 / x2-x1
from the given.. x1=2 and y1 = -5
x2 = 3 and y2 = -1 then,
m = -1 -( -5) / 3 - 2
m = 4/1
m = 4
now plug in to the point slope formula either of the points... I'll use the 1st point
y - 2 = 4(x -(-5))
y -2 = 4(x +5)
y -2 = 4x +20
y = 4x +22
there you go... see? :) also why are you working on HW now.. ?? :/ isn't it winter break?
How much should Mr.Ajay and his wife save ina month to achieve their financial goal?
Answer:
RM 1000
Step-by-step explanation:
Down payment = 10% of 600 000
[tex]= \frac{10}{100}*600000[/tex]
= RM 60000
5 years = 5 * 12 = 60 months
Amount to be saved in a month = 60000 ÷ 60
= RM 1000
The line of sight from a small boat to the light at the top of a 35-foot lighthouse built on a cliff 25 feet above the water makes a 25° angle with the water. To the nearest foot, how far is the boat from the cliff?
Group of answer choices
75 feet
129 feet
141 feet
27 feet
The distance between a boat and a cliff is 129 feet.
TrigonometryThe trigonometric functions are used to determine the distance and angle in real-life situations.
How to find the distance between a boat and a cliff using trigonometry?Consider the following diagram.
Let the distance between a boat and a cliff be [tex]x[/tex].
[tex]tan25^{o}=\frac{40}{x}[/tex]
[tex]x=\frac{35+25}{tan25}[/tex]
[tex]x=\frac{60}{0.4663}[/tex]
[tex]x=128.67[/tex]
Therefore, the distance between a boat and a cliff is 129 feet.
Learn more about trigonometry here-
https://brainly.com/question/26719838
#SPJ2
Which value is an output of the function?
O-6
O-2
O 4
O7
-4x -2y = -12
4x + 8y = -24
x= 6 and y= -6
Step-by-step explanation:
Answer:
x = 6, y = -6
Step-by-step explanation:
After adding the equations together, the 4x and -4x cancel each other out. This makes our new equation:
6y = -36
Divide both sides by 6
y = -6
Plug -6 into y in one of the equations
4x + 8y = -24 =
4x + 8(-6) = -24 =
4x - 48 = -24
Add 48 to both sides
4x = 24
Divide both sides by 4
x = 6
–18 • –17 please hrlp
Answer:
The answer is 306
Step-by-step explanation:
(−18)(−17)
=306
please help asap will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
X = 1.6
Step-by-step explanation:
Hope this helps. Pls give brainliest.
Evaluate each expression. Enter the correct answers in the boxes. (60−6)×(13)3+27÷3= ( 60 − 6 ) × ( 1 3 ) 3 + 27 ÷ 3 = 82÷4×(2+3)−9= 8 2 ÷ 4 × ( 2 + 3 ) − 9 = Ʃ 789+Plus456-Minus123×Multiplied by0.,÷Divided byemptyemptyBackspace=Equals
Answer:
2115
Explanation:
To evaluate the expression (60−6)×(13)3+27÷3 we use BODMAS
BODMAS is an acronym/rule in mathematics that dictates the order we should solve mathematical operations such as the above.
BODMAS stands for bracket first, order or of, division, multiplication, addition and then lastly subtraction
To solve the expression using BODMAS, we solve the brackets first
(60−6)×(13)3+27÷3 =54×39+27/3
Then division
=54×39+9
=2106+9
Then addition
=2106+9=2115
Answer=2115
Last month, you joined an online strategy game. When you joined, there were
25 members. This month, there are 47 members. What is the percent change in
the number of members from last month to this month? *
answers fast please
Answer:
its 24
Step-by-step explanation:
you count all the way up to 47 from 25
Answer:
46.8
Step-by-step explanation:
formula is change/ original x 100
Which expression is equivalent to 4 - (2m - 3)?
4 - 2m - 3
4- 2m + 3
-8m + 3
0-8m + 12
Answer:
4 - 2m + 3
Step-by-step explanation:
when you distribute the negative sign you will get this
Answer:
B on Edge
Step-by-step explanation:
Which expression best estimates. -18 1/4 ÷ 2 2/3 A. 18÷3 B. -18÷3 C.-18÷(-3) D. 18÷(-3)
Answer:
the amswer is d hope this helps
State all integer values of x in the interval [1, 8] that satisfy the following inequality:
4x- 5> 4
Step-by-step explanation:
4x - 5 > 4
4x > 9
x > 2.25
Hence the integer values of x that satisfy are 3, 4, 5, 6, 7 and 8.
Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers? Item 18 Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?
Answer:
11 and 12
Step-by-step explanation:
Let the consecutive integers be x and x+1
The lesser integer = x
The greater integer = x+1
Two times the greater of two consecutive integers is expressed as;
2(x+1) = 2x+2.
9 less than three times the lesser integer is expressed as;
3x - 9
Equate both expression
2x+2 = 3x - 9
2x-3x = -9-2
-x = -11.
x = 11
The greater integer = x+1 = 11+1 = 12
Hence the integers are 11 and 12
Answer:
11 and 12
Step-by-step explanation:
credit:answer above me
Find the GCF of 74 and 154.
Answer: 2
Step-by-step explanation:
2
74: 2 37
154: 2711
GCF:2
Tickets to the school musical cost $6.25. The amount received from ticket sales is $706.25. How many tickets were sold?
Answer:
Step-by-step explanation:
if we received 706.25 dollars and a ticket is 6.25
706.25/6.25=113 tickets sold
Answer:
113
Step-by-step explanation:
You have to divided 706.25 by 6.25 and then you get 113. 113 is your anwser.
Hope this helped!
7x2 - 2x2 = .......................................
simple but he help me out
(BTW if u answered the)
Answer:
10
Step-by-step explanation:
7*2 - 2*2 = 14 - 4 = 10
Plz mark as brainliest!
Answer:
10
Step-by-step explanation:
A supplier of digital memory cards claims that less than 1% of the cards are defective. In a random sample of600 memory cards, it is found that 3% are defective, but the supplier claims that this is only a sample fluctuation. At the 0.01 level of significance, test the supplier's claim that less than 1% are defective. Use the p-value method.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 600[/tex]
The population proportion of defective samples is p = 0.01
The sample proportion of defective samples is [tex]\^ p = 0.03[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : p = 0.01[/tex]
The alternative hypothesis is [tex]H_a: p < 0.01[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\^ p - p }{ \sqrt{ \frac{p( 1 - p )}{n} } }[/tex]
=> [tex]t = \frac{0.03 - 0.01 }{ \sqrt{ \frac{0.01( 1 - 0.01 )}{600} } }[/tex]
=> [tex]t = 0.00406[/tex]
From the z table the area under the normal curve to the left corresponding to 0.00406 is
[tex]p-value = P(Z < 0.00406 ) = 0.50162[/tex]
comparing the p-valve and the level of significance we see that the
[tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The is no sufficient evidence to support the claim that the less than 1% of the cards are defective
a=(5,8)
b=(3,2)
c=(-1,6)
d=(-3,-4)
*find the gradient of the line that passes through points a and b
*find the gradient of the line that passes through points c and d
*find the gradient of the line that passes through points a and d
god bless anyone who can do this sh <3
Step-by-step explanation:
Gradient of line AB = 6/2 = 3.
Gradient of line CD = 10/2 = 5.
Gradient of line AD = 12/8 = 1.5.
Which expression is equal to 7/v5
what is the circumference
Answer: 69.43 cm
Step-by-step explanation:
Given: Arc length (JK) = 40.5 cm
Central angle ∠ JLK = 210°
Arc length = [tex]\dfrac{x}{360}\times\text{Circumference}[/tex]
[tex]\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm[/tex]
Hence, Circumference = 69.43 cm
i cannot find the toliet paper HEL_PPPPPPPPPPPPPPPPPPPPPP
Answer:
lol coronavirus is real :(
Step-by-step explanation:
Ade is baking mini-loaves of bread. How many mini-loaves could he make with 10 cups of flour?
Answer: 25
Step-by-step explanation:
Since Ade uses 2 cups of flours for 5 mini loaves, it simply means that 1 cup of flour will be used for:
= 5/2 = 2.5 mini loaves
Therefore, the number of mini-loaves that he could make with 10 cups of flour would be:
= 10 × 2.5
= 25 mini loaves
find a range of values for x
Answer:
22
Step-by-step explanation:
Please help me I need help puhleass
Answer:
I can not see the full question
Step-by-step explanation:
Answer:
12/20 is 3/5, 42/66= 7/11, 7/56=1/8, 30/45=2/3, 9a/50a= i dont know because you are not able to divide 9/2 and is able to divide 50/2, 125/625= 1/5
Step-by-step explanation:
divide the numerator and the denominator buy the same number to get the answer i got 12/20 to 3/5 because 12/4= 3 and 20/4=5.
A little girl standing next to a telephone pole at 10 AM. The little girl is 4'6" tall and the telephone pole is 40 feet high. If the telephone pole cast 8 32 foot shadow, how long is a little girl shadow?
Answer:
The shadow of the pole is 1.2 feet long
Step-by-step explanation:
A little girl standing next to a telephone pole at 10 AM.
From the above question
Height of the girl = 4'6" tall = 4 feet and 6 inches tall
We convert to feet
= 12 inches = 1 foot
6 inches = x
Cross Multiply
12 × x = 6 × 1
x = 6/12 = 1/2 = 0.5 feet
Hence, the total height of the girl =
4 feet + 0.5 feet = 4.5 feet
The height of the telephone pole = 40 feet high.
The shadow of the telephone pole
= 8' 32 foot shadow
= 8 feet, 32 inches
We convert the inches to feet
12 inches = 1 foot
32 inches = x
Cross Multiply
12 × x = 32 × 1
x = 32/12 = 8/3 = 2.67 feet
Total length of the pole = 8 feet+ 2.67 feet = 10.67 feet
how long is a little girl shadow?
This is calculated using proportion
Shadow/Height
Shadow of the girl = x
Hence:
Shadow of the girl/Height of the girl = Shadow of the pole/Height of the pole
x/4.5 feet = 10.67 feet/40 feet
Cross Multiply
40 × x= 4.5 × 10.67
x = 4.5 × 10.67/40
x = 1.200375 feet
Approximately = 1.2 feet
Hence, the shadow of the pole is 1.2 feet long
Identify each value of x that makes 11 + 2x < 13
Answer:
x < 1
Step-by-step explanation:
This is the answer because:
1) 11 + 2 = 13 and 13 is not less than 13, it is equal to 13. Therefore, x has to equal anything less than 1 because then only inequality statement will be true.
Therefore, the answer is x < 1.
Hope this helps! :D
The value of x that makes 11 + 2x < 13 is x < 1
Given:
11 + 2x < 13
< means less than
11 + 2x < 13
Subtract 11 from both sides11 + 2x - 11 < 13 - 11
2x < 2
divide both sides by 2x < 2/2
x < 1
x less than 1
Therefore, the value of x that makes 11 + 2x < 13 is x < 1
Learn more about inequality:
https://brainly.com/question/18881247
Solve in PEMDAS:
3 + [2 + 3 X (6 X 3)]
I'm stuck on this question:
What's 100 divided by 2?
Answer:
50
Step-by-step explanation:
100 into 2 parts is 50
Samuel found the difference of the polynomials. (15x^2+11y^2+8x)-(7x^2+5y^2+2x)= blankx^2+6y^2+6x What value is missing from his solution?
Answer:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
Step-by-step explanation:
Given two polynomials:
1st polynomial: [tex]15x^2+11y^2+8x[/tex]
2nd polynomial: [tex]-7x^2+5y^2+2x[/tex]
To find:
The value in the blank:
[tex](15x^2+11y^2+8x)-(7x^2+5y^2+2x)= \_\_ \ x^2+6y^2+6x[/tex]
Solution:
Here, we have 3 pair of like terms.
2 terms with [tex]x^{2}[/tex], 2 terms with [tex]y^{2}[/tex]and 2 terms with [tex]x[/tex].
Like terms can be subtracted.
Subtracting the terms with [tex]y^{2}[/tex], the coefficients will get subtracted.
[tex]11y^2 - 5y^2 = 6y^2[/tex]
Subtracting the terms with [tex]x[/tex], the coefficients will get subtracted.
[tex]8x -2x=6x[/tex]
Subtracting the terms with [tex]x^{2}[/tex], the coefficients will get subtracted.
[tex]15x^2 - 7x^2 =\bold{8}x^2[/tex]
Therefore, the answer is:
Co-efficient of [tex]x^{2}[/tex] is missing.
It should be 8[tex]x^{2}[/tex].
