! + 3 − 5 = 0; by completing the square
Answer:
x = 1.19258 and x = −4.19258
Step-by-step explanation:
The given equation is :
[tex]x^2+3x-5=0[/tex]
Keep x terms on the left and move the constant to the right side by adding it on both sides.
[tex]x^2+3x=5[/tex]
Take half of the x term and square it.
[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]
then add the result to both sides
[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]
So,
x = 1.19258 and x = −4.19258
Hence, this is the required solution.
HELP WILL GIFT 30 EXTRA POINTS IF SOLVE ANSWER ALL QUESTIONS PLEASE!!!
Answer:
Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.
Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer: $2184
Step-by-step explanation:
(6800)(0.028)(12) = 2184
What is the median?
the median is the middle number in a sorted, ascending or descending, list of numbers, i like to think of it as "middle"
NEED ANSWER ASAP!! TYYY SO MUCH IN ADVANCE
Answer:
24.84
Step-by-step explanation:
use Pythagoras theorem
h=√p²+b² = √(19)²+(16)² = √617 =24.84
The sum of 8 and Jose's savings is 50.
Answer:
8 + x = 50, so Jose's saving or x = 42
Hope this helps!
Answer:
The equation is: s + 8 = 50
The amount of Jose's savings is: 42
Step-by-step explanation:
Let s = Jose's savings.
s + 8 = 50
Subtract 8 from both sides.
s = 42
The equation is: s + 8 = 50
The amount of Jose's savings is: 42
Use the diagram to name the following
Answer:
1. P
2. BP
3. DE
4. AB
Step-by-step explanation:
In math class, the girl to boy ratio is 8 to 6. If there are a 24 girls in the class, how many boys are there?
Answer:
There are 18 boys
Step-by-step explanation:
To find this do 24/8 to get 3
then multiply 6 by 3 to get 18 boys
hope this helped :)
Answer:
There are 18 boys.
Step-by-step explanation:
[tex]24 \div 8 = 3[/tex]
[tex]6 \times 3 = 18[/tex]
convert -225 degrees into radians
Answer:
-1.25π radians or -3.926990817 radians
Step-by-step explanation:
A y= 2x - 10
B y= 1/2 x + 10
C y= 1/2x -10
D y= 2x + 10
Answer:
D)
Step-by-step explanation:
Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you place the base of the latter? Round to the nearest hundredth
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
[tex]\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m[/tex]
So, the base of the ladder is 2.58 m.
a car travels 156 miles in 3 hours and 15 minutes. how many miles does it travel per hour
Answer:
48 mph
Step-by-step explanation:
Convert 3 hours 15 minutes to hours.
15 minutes = 15/60 hour = 1/4
So 3 hours 15 mins = 3 1/4 hours = 13/4 hours
156 miles in 13/4 hours ==> speed = 156 ÷ 13/4 = 156 x 4/13 = 48
30/75 reduced to lowest terms
[tex]\frac{30}{75}[/tex] divide each number by 5.
[tex]\frac{6}{15}[/tex] divide each number by 3
[tex]\frac{2}{5}[/tex]
Therefore, the reduced form is
[tex]\frac{2}{5}[/tex]
Find the distance between the pair of points.
(-2,1) and (2,- 3)
The base area of a cylindrical can is 75 cm. The volume of the can is 1,125 cm. What is the height of the can?
Answer:
1,125 divided by 75 = 15 is your answer.
What is the length of the radius of a circle whose circumference is 125.6 feet? Use 3.14 for Pi.
Answer:
Hello! answer: 20
Step-by-step explanation:
circumference is just diameter × pi so If we do circumference ÷ pi we will get our diameter so
125.6 ÷ 3.14 = 40 But remember diameter is just twice the radius so all we have to do is divide by 2 to get our radius so
40 ÷ 2 = 20 So 20 is the radius Hope this helps!
Answer:
the answer is 20 feet
Step-by-step explanation:
divide the circumference by 3.14 gives you the diameter then divide the diameter by 2 to get the radius.
AB and CD are straight lines. Find /n.
(help me pls)
Answer: 130°
Step-by-step explanation:
Since AB and CD are straight lines, we can use vertical angles theorem which tells us that angles that are on opposite sides of an intersection are congruent (equal in value).
me pueden ayudar profabor
Answer:
que que
Step-by-step explanation:
que
Kyle sell 40 pizzas,he sold 1/4 then neighbor bought 1/2 of the remaining pizzas.How many pizza did the neighbor buy?
Answer: 15
Step-by-step explanation:
If he sold 1/4 then 40 x 1/4 = 10
So he has 30 left
30 x 1/2 = 15
The neighbor bought 15
If a 5-foot tall man casts a shadow of 12 feet when standing on level ground, then the distance from the top of his head to the tip of his shadow is
Answer:
13 feet
Step-by-step explanation:
you can use the Pythagorean Theorem to solve this problem because the man standing on the ground forms a 90 degree angle
5² + 12² = c²
25 + 144 = c²
169 = c²
c = √169 which is 13
Which expressions are equivalent to - f - 502f - 3)?
Answer:
?
Step-by-step explanation:
What grade is this for?
All seniors voted for this year's prom theme. The bar graph below shows the distribution of responses of which theme each student selected. Is there a problem with the way the data are displayed in the bar graph?
Answer:
yes there is a problem
Step-by-step explanation:
The ranking should start from 0 n u can see its started from5
Answer:
(A) Yes, the vertical axis should begin at 0, not at 5.
Step-by-step explanation:
I just took the AP Stat Unit test on Edg2022 and got 100%.
When the vertical axis does not start at 0, it makes the graph look misleading.
Don't forget to press that THANKS button!
Help me out please I’ll give all five stars
I think it is 10 miles.
I hope this helps! :)
Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1) intersect are the solutions of the equation 4^x=2^(x-1). Part B: Make tables to find the solution to 4^x=2^(x-1). Take the integer values of x between -4 and 4. Part C: How can you solve the equation 4^x=2^(x-1) graphically?
9514 1404 393
Explanation:
A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.
The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.
The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.
__
B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.
__
C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)
Alternate graphical method
The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)
I need some help!! I will try to give brainliest!!!
Answer:
x = 35
y = 95
Step-by-step explanation:
(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.
(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.
Answer:
x = 85, y = 45
Step-by-step explanation:
solving for x:
180 - 95 = 85
solving for y:
85 + 50 = 135
180 - 135 = 45
Good luck on your schoolwork
1. For a one-tailed test (lower tail) at 93.7% confidence, Z =
2. For a one-tailed test (upper tail), a sample size of 24 at 90% confidence, t =
3. In a one-tailed hypothesis test (lower tail=left tailed test) and where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answer:
1) Z = -1.8592
2) t = 1.7139
3) p = 0.0062
Step-by-step explanation:
1) Area: (93.7+100)/2 = 193.7/2 = 96.85
Z = invNorm(0.9685,0,1) = 1.8592, but since the test is one-tailed at the lower tail, Z is actually -1.8592
2) Area: (90+100)/2 = 190/2= 95 where df=n-1=24-1=23
t = invT(0.95,23) = 1.7139
3) Since the population standard deviation is known, our test statistic is z=-2.5, making the p-value for the test p=normalcdf(-1e99,-2.5,0,1) = 0.0062
Find the midpoint of the line segment with end coordinates of:
(-3, -1) and (4, -5)
Give coordinates as decimals where appropriate.
i need help my math teacher is bugging me to answer the question for a day assignment
(−1)⋅2⋅3=
Answer:
-6
Step-by-step explanation:
Answer:
Hello! Mizuki here to save you from your math teacher!
The correct answer will be -6
Step-by-step explanation:
-1 x 2 x 3 = -2 x 3 = -6
The plane region is revolved completely about the x-axis. Find its surface area in EXACT form (in terms of pi and/or with simplified radicals as necessary).
Answer: The Given plane region is missing attached below is the plane region
answer : 24 π or 75.40 sq. units
Step-by-step explanation:
Given data :
Height of plane region = 3
base of plane region = 4
When we revolved the plane region completely we will we forming a cone hence we will calculate for the surface area of a cone
Radius of the new cone = 3
Height of the cone = 4
slant height of the cone ( l ) = [tex]\sqrt{4^2 +3^2}[/tex] = 5
surface area of cone = πr^2 + πrl
= π ( 3 )^2 + π (3 ) ( 5 )
= 24 π or 75.40 sq. units
Help me out with this please!
Please don't send me links to any suspicious websites other than Brainly.
1.) f^-1(x) = x/3 -2
2.)f^-1(x) = 5x/6 + 5/2
I hope this helps you have a nice day!