Answer:
4 answers
Step-by-step explanation:
y = |x² - 4|
3 = |x² - 4|
3 = x² - 4 and -3 = x² - 4
3+4=x² - 4 + 4 and -3+4=x² - 4 + 4
7=x² and 1=x²
x=[tex]\sqrt{7}[/tex] and x=-[tex]\sqrt{7}[/tex] since x²=7
x=-1 and x=1 since x²=1
x= -[tex]\sqrt{7}[/tex], [tex]\sqrt{7}[/tex], -1, 1 ==> 4 answers
What is the slope of a line parallel to the line whose equation is x + y = 6
Answer:
-1
Step-by-step explanation:
put this equation in slope intercept form : y=mx+b
x+y=6
-x. -x
y=-1x+6
The slope of this line is -1 and for it to be parallel they both have to have the same slope
Hopes this helps please mark brainliest
19x=y
in standerds form
Answer:
19x − y = 0
__
Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
18, 14, 10, .
Answer: The sequence has a common difference between consecutive terms
14 - 18 = 10 - 14 = - 4
This indicates it is an arithmetic sequence with a common difference - 4
Step-by-step explanation:
Please fill in the missing blanks! I will give brainly to the best!
The required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1, and -7.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
What we do is, lets fill the blank space be x,
Now for 1,
[-1] + [-1] + x = 1
-2 + x = 1
x = 1 + 2
x = 3
Similarly, all the blank spaces can be determined as, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1, and -7.
Thus, the required missing terms are sequential as 3, -8, -10, 1, -9, -7, 5, 10, 6, -9, 1, -1, 1, and -7.
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please hurry need asap
Find the area of this triangle.
155
175
260
Answer:
13170.421 -> rounded to nearest whole number is 13170
Step-by-step explanation:
u = a + b + c
area = √(u/2 * (u/2-a) * (u/2-b) * (u/2-c))
How many millimeters(mm)are there in 3.5 meters(m)
Answer:
3,500 Millimeters
Step-by-step explanation:
1 Meter = 1,000 Millimeters so,
3.5 meters = 3,500 Millimeters
I drove to my summer home at 75 mph. The next day I drove back, it took me a hour longer because of traffic, and I drove at 50 mph. How long was the drive on the first day?
Answer:
2 hours
Step-by-step explanation:
time it took on the first day = x
speed = d/t
time it took on second day = x + 1
75 = d/x
50 = d/x + 1
75x = d
50 = 75x/(x + 1)
50(x + 1) = 75x
50x + 50 = 75x
50 = 25x
x = 50/25
x = 2
Please I need help please
Answer:
m∠T = 60°
m∠U = 60°
TS = 13 cm
SU = 13 cm
Step-by-step explanation:
The diagram shows that 2 sides, UT and TS, are equal, so it is an isosceles triangle. Since it is an isosceles triangle, the two angles opposite the equal sides are also congruent to each other, so m∠S = m∠U = 60°.
Now we know the measure of 2 angles, we can find the measure of the third angle, by subtracting the 2 known angles from 180°.
m∠T = 180° - m∠S - m∠U
m∠T = 180° - 60° - 60°
m∠T = 60°
Since all 3 angles are congruent, it is an equilateral triangle, therefore all the sides must be congruent too. So UT = TS = SU = 13 cm.
The length of a rectangle i 12m and the length of it diagonal i 15m.Find
the width of the rectangle.
Answer:
width = 9 m
Step-by-step explanation:
the diagonal divides the rectangle into 2 right triangles.
using Pythagoras' identity on one of the triangles
with legs 12 and width (w) and hypotenuse (diagonal) 15 , then
w² + 12² = 15²
w² + 144 = 225 ( subtract 144 from both sides )
w² = 81 ( take square root of both sides )
w = [tex]\sqrt{81}[/tex] = 9
that is the width of the rectangle is 9 m
71. Coffee and Muffins On Monday the office staff paid a total of
$7.77 including tax for 3 coffees and 7 muffins. On Tuesday
the bill was $14.80 including tax for 6 coffees and 14 muffins.
If the sales tax rate is 7%, then what is the price of a coffee
and what is the price of a muffin?
Answer:
Step-by-step explanation:
if i help you with this can yu do this
1. Describe, in detail, the way Jews were treated by the Nazi Party between 1933 and 1944. Be sure to address the restrictions on the Jews and their movement as well as discussing the creation and impact of the Nuremberg Laws.
2.explain how literature can help us understand the past. How can reading literature sometimes be more effective than studying an informational/historical document or simply studying "facts" from the past.
120 or more for both questions!!!
1. Stanley's cat weighs 5 pounds. Stanley's dog weighs 3 3/5 times as much as his cat.
How much does Stanley's dog weigh?
Answer:
18
Step-by-step explanation:
Answer:
18 pounds
Step-by-step explanation:
5x 3 3/5= 18
For what values of the variable does each of the following expressions make sense; square root of -3(1-5x)
Answer: x is greater than or equal to 1/5
Step-by-step explanation:
The value of -3( 1 - 5x) CANNOT be negative.
Using this information we know that 1-5x is negative.
We can write:
1-5x >= 0
1>=5x
x>=1/5
Find the circumference of a circular swimming pool with a diameter of 22 feet. Use 3.14 as an approximation for pie. Round your answer to the nearest whole foot. Enter only the number.
Answer:
380 ft²
Step-by-step explanation:
diameter = 22 ft
radius = diameter/2 = 22 ft/2 = 11 ft
area = πr²
area = 3.14 × (11 ft)²
area = 379.94 ft²
Answer: 380 ft²
You have 14 pens and markers. You have six more markers than pens. How many of each item do you have?
Answer: 13 markers and one pen
Step-by-step explanation:
14/2 = 7
7+6=13 markers
Which means there is only one pen left
From the obtained equation, there are 4 pens and 10 markers.
Given that, there are 14 pens and markers.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of pens be p.
Then, the number of markers will be p+6
Now, the equation is p+p+6=14
⇒ 2p+6=14
⇒ 2p=8
⇒ p=4
Thus, p+6=10
Therefore, from the obtained equation, there are 4 pens and 10 markers.
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Compare the scenarios to determine which represents a greater speed. Explain your choice including a written description of each scenario. Be sure to include the rates in your explanation.
The scenario that represents a greater speed is scenario 1, which is 60 miles per hour.
What is Speed?Speed can be defined as the time it takes a moving object or body to cover a specific distance. In order words, it is calculated as:
Speed = distance/time.
In scenario 1, using one point on the graph, (1, 60), we can find the unit rate which is the speed in miles per hour:
Speed = y/x = distance/time = 60/1
Speed for scenario 1 = 60 miles per hour.
In scenario 2, we are given the equation, y = 55x:
55 is the unit rate which is the speed.
Speed for scenario 2 = 55 miles per hour.
The greater speed is 60 miles per hour.
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(b) Bill removed 70 fish from his pond over a period of 7 days. He removed the same number of
fish each day. What was the change in the number of fish in the pond each day?
-70 fish
Answer:
ROC=10/1
Step-by-step explanation:
ROC=change in y-change in x
We can first write out a few more points.
(7,70), (14,140), (21,210)
210-140=70
140-70=70
21-14=7
14-7=7
So the ROC is 70/7 or 10/1
Does anyone know the answer to the last part of this question ?? I already got the rest, I just need the last one.
PLEASE HELP !!
DONT ANSWER IF YOU DONT KNOW IT !! i will report you if you answer with anything else.
Only answer if you know!!
Answer: 62.5
Step-by-step explanation:
To break even, profit equals zero.
[tex]1.60n-100=0\\\\1.60n=100\\\\n=62.5[/tex]
enter a quadratic polynomial which has zeros at -7 and 7
The required quadratic polynomial whose roots are -7 and 7 is
[tex]x^{2} - 49[/tex]
As the zeroes are given, i.e., 7 and -7.
∴ Sum of roots = 7+(−7) = 7− 7 = 0
Product of roots = 7×(−7) = −49
As we know, a quadratic polynomial whose zeroes are given can be represented as-
[tex]x^{2}[/tex] - (Sum of roots)x + (product of roots) = 0
[tex]x^{2} -0*x +(-49) = 0\\\\x^{2} - 49 = 0[/tex]
Hence, the required quadratic polynomial whose roots are -7 and 7 is
[tex]x^{2} - 49[/tex]
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A lighthouse is 160 feet tall. A scale model of the lighthouse has a scale of 1 in: 8 ft. How tall is the model of the lighthouse in inches?.
The height of the model of the lighthouse in inches is 20 inches
The real height of the lighthouse = 160 feet
The scale model of the light house has scale of
1 inch : 8 feet
Consider the height of the model of the lighthouse is x
Then the proportion of the scale model of the lighthouse and the actual height will be
1 inch / 8 feet = x inches / 160 feet
Cross multiply the terms
1 × 160 = 8x
Multiply the terms
8x = 160
Divide both side of the equation by 8
8x / 8 = 160 / 8
x = 20 inches
Hence, the height of the model of the lighthouse in inches is 20 inches
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can you substitute y=2x+4 y=2
Answer: x = -1
Step-by-step explanation:
Since, you know y = 2, substitute that y-value into the other function:
[tex]2=2x+4\\\\2x=2-4=-2\\\\x=\frac{-2}{2} =-1[/tex]
Does a multi-step equation always, sometimes, or never have a solution? Explain your reasoning.
During a rainstorm, a pail collects 1 3 of an inch of water in 5 6 of a minute. At what rate is the pail collecting water?.
The rate at which the pail is collecting the water is [tex]\frac{2}{5}[/tex] of an inch per minute.
What is rate in mathematics?
A rate is the ratio of two related quantities expressed in different units. the numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable. One unit of one of these quantities is used to represent the ratio's denominator, and if it can be altered consistently, then the ratio can be stated as follows: (i.e., is an independent variable).
The rate can be configured as.
Rate = [tex]\frac{1/3}{5/6}[/tex]
Rate = [tex]\frac{2}{5}[/tex]
Hence, the rate at which the pail is collecting the water is [tex]\frac{2}{5}[/tex] of an inch per minute.
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What’s the IQR for jacobs data set
The IQR for Jacob's data set is determined as: 2 seconds.
What is the Interquartile Range of a Data Set?To find the interquartile range (IQR) of a Data set, find the third quartile value and the first quartile value. Their difference is the Interquartile Range (IQR) of the data.
Interquartile Range (IQR) = third quartile - first quartile.
In the box plot given, we can deduce that:
Third quartile = 15.5
First quartile = 13.5
Interquartile Range (IQR) = 15.5 - 13.5
Interquartile Range (IQR) = 2 seconds
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Answer: 2 seconds
Step-by-step explanation:
PLEASE ANSWER QUESTIONS IN IMAGE GIVING BRAINLIEST!!!!
The function of Car A is an exponential function.
The function that describes the value is g(x) = [tex]18,000(0.94^{x})[/tex].
The value of f(x) in 9 years is $10,313.91.
The function of Car B is a linear function.
The function that describes the value is g(x) = 18,500 -750x.
The value of f(x) in 9 years is $11,750.
What is the value of the cars in 9 years?The value of the car declines with the passage of time. Thus, the value of the car depreciates with the passage of time.
A linear function is a function that has a single variable raised to the power of 1. A linear function increases or decreases by a constant value.
The general form of a linear function is f(x) = a + bx
Where:
a = initial value b = rate of change x = number of yearsRate of change = value of the car B in year 2 - value of the car B in year 1
17,000 - 17,750 = - 750
g(x) = 18,500 -750x
Value of g(x) when x is 9:
g(x) = 18,500 -750(9)
g(x) = 18,500 - 6,750
g(x) = $11,750
An exponential function can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential function is f(x) = [tex]e^{x}[/tex]
Where:
• x = the variable
• e = constant
Constant = (Value of the car in year 2 / value of the car in year 1) - 1
Constant = (16,346.60 / 17,390) - 1 = -0.06 = -6%
g(x) = [tex]18,000(0.94^{x})[/tex]
Value of the car in 9 years = [tex]18,000(0.94^{9})[/tex] = $10,313.91
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Part H is not showing including H too, can someone please help me
The scale factor k=5
corresponding parts are:
AL--> TD
TK---> AH
DK---> LH
angle A-----> angle T
angle D-----> angle L
angle H-----> angle K
What is scale factor?
The difference in scale between an original object's scale and that of a new, smaller representation is known as a scale factor (bigger or smaller). By multiplying each side by a certain number, say 2, we can increase the size of a rectangle with sides of 2 cm and 4 cm.
The letter H lies on the line TK
Scale factor k
=( side length of new image)/ ( corresponding side length of new image)
=TD/AL=15/3=5
k=5
From the figure, corresponding parts are as below:
AL--> TD
TK---> AH
DK---> LH
angle A-----> angle T
angle D-----> angle L
angle H-----> angle K
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A construction crew is lengthening a road. The road started with a length of 54 mlles, and the crew is adding 4 mlles to the road each day.
Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 37 days.
Equation:
Total length of the road after 37 days:___miles
The equation that relating the total length of the road L and the number of days D is L = 54 + 4d, the length of the road after 37 days is 202 miles
The length of the road at starting = 54 miles
The rate of lengthening the road per day = 4 miles per day
Where L is the total length of the road in miles
D is the number of days the crew has worked
Then the equation will be
L = 54 + 4D
The number of days = 37 days
Substitute the value of D
L = 54 + 4×37
L = 54 + 148
L = 202 miles
Hence, the equation that relating the total length of the road L and the number of days D is L = 54 + 4d, the length of the road after 37 days is 202 miles
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the height and arm span of a sample of 50 teenagers identify the explanatory variable and the response variable for this relationship, if possible. either variable, height or arm span, could be the explanatory variable, because each could be used to predict or explain the other. the explanatory variable, arm span of teenagers, helps explain the response variable, height of teenagers. the explanatory variable, height of teenagers, helps explain the response variable, armspan of teenagers. the explanatory variable, teenagers, helps explain the response variable, armspan of teenagers. the explanatory variable, teenagers, helps explain the response variable, height of teenagers.
For the height and arm span of a sample of 50 teenagers explanatory variable and the response variable for this relationship is the explanatory variable, height of teenagers, helps explain the response variable, arm span of teenagers. (Option C)
An explanatory variable refers to the variable that can be manipulated in experiment by the researcher and is the independent variable whereas a response variable refers to the variable that is modified as a result and is the dependent variable. In the given case, the height is the explanatory variable while the arm span is the response variable as a teenager's arms spread is influenced by their height.
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Solve the simultaneous equations
Answer:
(x = -0.90, y = 2.31) and (x = 1.40, y = 9.19)
Step-by-step explanation:
See the attached image
Mr. Ready went to Walmart for some groceries. A large bag of chips is $4 and each
pound of meat is $2. Create an equation that represents the number of bags of chips
and the pounds of meat he bought if he spent $38.
Answer:
[tex]38=4c+2m[/tex]
Step-by-step explanation:
I will use the letter c to represent bags of chips, and the letter m to represent pounds of meat.
The total cost of c bags of chips is 4 times c. The total cost of m pounds of meat is 2 times m. The total amount that he spends is $38. Therefore, this equation can be written.
[tex]38=4c+2m[/tex]
A hat that normally cost $20 is on sale for $14. What percent of the regular price is the
sale price?
Answer:
70
Step-by-step explanation:
(14/20)*100=70