Answer: Option C
h = 6 or h= -7
Step-by-step explanation:
We have the expression
[tex]h^2-42 = -h[/tex]
To solve add h on both sides of the equality
[tex]h^2+h-42 = -h+h[/tex]
[tex]h^2+h-42 = 0[/tex]
For an equation of the form [tex]ah^2 +bh +c[/tex] the quadratic formula is
[tex]h=\frac{-b \± \sqrt{b^2 -4ac}}{2a}[/tex]
In this case
[tex]a = 1\\b= 1\\c =-42[/tex]
[tex]h=\frac{-1 \± \sqrt{1^2 -4(1)(-42)}}{2(1)}[/tex]
[tex]h_1=6[/tex]
[tex]h_2=-7[/tex]
The answer is the option C
Select all that apply. Which postulates are discussed in this lesson?
Try to put in 9 and 10
The equation that models this situation is y = 35x + 30, where y is the amount of money she spent and x Is the number of chairs she bought
Answer:2321
Step-by-step explanation:
A girl had $12 but spent $3 of it . what per cent did she spend
Answer:
She spent 25%
Hello There!
The girl spent 1/4 of her money. 12 is divisible by 3 and when we divide, we get a quotient of 3
If the girl spent $3, we subtract 3 from 12 and we see that 3 = 1/4 6=2/4 and 9=3/4 but if she spent $3 it would be 1/4
The Girl Spent 1/4 of her money. This is also known as 25%
what is 51.4 plus 2.86
Answer:
54.26
Step-by-step explanation:
0.4+0.86= 1.26
51+2= 53
53+1.26= 54.26
Answer:
54.26 i hope its right
which of the following is a conditional probability?
A.the probability that a person will be born with blue eyes or struck by lightning
B.the probability that a person will buy a red car.
C.the probability that a person will order dessert given that they ordered a steak for dinner.
D.the probability that a person will not purchase a cell phone.
The probability that a person will order dessert given that they ordered a steak for dinner, this is an example of conditional probability.
What is conditional probability?Given that another event (B) has previously occurred, the likelihood of an event (A) occurring.
Event A in Option(C) - A person will order dessert
Event B in Option(C) - A person will order steak for dinner
Event A will only occur if the event B has already completed, hence according to the definition this is an example of conditional probability.
Learn more about conditional probability on:
https://brainly.com/question/10567654
#SPJ2
On Monday, the temperature was 6 degrees cooler than it had been on Sunday, on Tuesday the temperature rose 4 degrees from Monday. Wednesday's temperature was cooler than Tuesday's, but not as cool as it was on Monday. Which answer choice shows a reasonable answer for the difference in temperature on Wednesday, as compared to the temperature on Sunday?
A) -10 degrees
B) -7 degrees
C) -4 degrees
D) -2 degrees
Answer:
C) -4 degrees
Step-by-step explanation:
let's set Sunday Temp = 0°
Since Monday is 6° cooler than Sunday, we subtract 6° from 0 (Sunday's temp)
Monday's Temp -6 (0-6)
Since Tuesday's Temp is 4° higher than Monday, we add 4 to Monday's temp:
Tuesday's Temp -2 (-6+4)
Wednesday's Temp is cooler than Tuesday's but not as cool as Monday's, we assume that Wednesday's Temp is in-between -6 & -2
that makes
c. -4 a reasonable choice
Answer:
C) -4 degrees
Step-by-step explanation:
Let x be the temperature on sunday,
Then, according to the question,
The temperature on monday = x - 6,
On Tuesday = (x-6) + 4 = x - 2,
Now, Wednesday's temperature was cooler than Tuesday's, but not as cool as it was on Monday,
That is, x - 6 < temperature on wednesday < x - 2
⇒ x- 6 - x < temperature on wednesday - x < x - 2 - x
⇒-6 < temperature on wednesday - temperature on sunday < -2
Since, -6 < -4 < -2
Hence, the possible difference between the temperature on Wednesday, as compared to the temperature on Sunday would be -4.
Option 'C' is correct.
4x^2+4x+1=9 solutions
Answer:
x = - 2, x = 1
Step-by-step explanation:
Given
4x² + 4x + 1 = 9 ( subtract 9 from both sides )
4x² + 4x - 8 = 0 ← in standard form
Divide through by 4
x² + x - 2 = 0
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
Write the equation of the quadratic graph in the form f(X)= a(x-h)^2+k
Answer:
f(x) = 2(x - 5)² - 6
Step-by-step explanation:
Vertex Formula: y = a(x - h) + k; Vertex: [h, k]; there is a vertical stretch at 2 = a. The -h [phase shift (horizontal shift)] in parentheses gives you the OPPOSITE term of what it really is, so really, 5 = h. Now, k [vertical shift] is the ONLY normal term, so -6 = k.
Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers?
Answer:28
Step-by-step explanation:five numbers: 24, 25, 26, 27, 28
the largest is 28
The numbers are 24, 25, 26, 27, 28 and the largest will be 28.
It should be noted that prime numbers are the numbers that can only be divided by itself and 1.Consecutive numbers simply means the numbers that follow each other as they've thesame characters.Therefore, the numbers are 24, 25, 26, 27, 28 and the largest will be 28.
Learn more about prime numbers on:
https://brainly.com/question/145452
The table shows the solution to the equation |2x − 3| − 1 =
Answer:
It is -373.
Step-by-step explanation:
Miles paid $5824, including 4% sales tax, for an out-of-state purchase of a car. In order to calculate the amount of sales tax he owes in his state, he must first determine the price of the car without sales tax. How much did the car cost before sales tax? This one is a little bit tricky. The amount you need to find the sales tax of is not know. Let the original price be x. Then, 4% of that price is 0.04x. Adding the original price and the sales tax, we get the amount paid. Therefore, the equation is
X + 0.04x = 5824
Answer:
$5600
Step-by-step explanation:
Original Cost = x
Total Cost = $5824
Sales Tax = 4% or 0.04
Problem Setup
(Original Cost) + 4% (Original Cost) = Total Cost
x + 0.04x = 5824
1x+ 0.04x = 5824
1.04x = 5824
1.04x/1.04 = 5824/1.04
x=5600 Original Cost
To Check math multiply 5600 x 0.04 = 224.
Then add $5600 + $224 = $5824
The price of the car before sales tax is $5600.
To determine the cost of the car before sales tax, we can use the equation provided:
[tex]x + 0.04x = 5824[/tex]
Here, [tex]x[/tex] represents the original price of the car before sales tax, and [tex]0.04x[/tex] represents the amount of sales tax, which is 4% of the car's price.
First, combine the terms on the left side of the equation:
[tex]1x + 0.04x = 1.04x[/tex]
Therefore, the equation simplifies to:
[tex]1.04x = 5824[/tex]
Next, to solve for [tex]x[/tex], divide both sides of the equation by 1.04:
[tex]x = \frac{5824}{1.04}[/tex]
Calculating the right side:
[tex]x = 5600[/tex]
Katy is walking toward a bridge. See full question below
Answer:
Step-by-step explanation:
No c
as she was initially 300m away from the bridge (distance from bridge=300m) (time=0) so it was her starting point.
and after 6 minutes (time=6min) she reached the bridge. (distance from bridge = 0m)
Answer:
C.Katy was initially 300 meters away from the bridge and it tooke her 6 minutes to reach the bridge.
Step-by-step explanation:
As you can see in the table when Katy had been walking for 0 minutes, she was 300 meters away, so initially Katy was 300 meters from the bridge.
When she reaches the bridge is when the distance is reduced to 0, since distances is reduced to 0 at 6 minutes, we can infer that it took her 6 minutes to reach the bridge, and that se was walking at a pace of 50 meters per minute.
80 Points !! Help me please!
Answer:
The total cost of the tent with the markup and then tax applied is $409.86
Step-by-step explanation:
230 is the original
the price is going to increase by 230(.65)=149.5
So the new price is 230+149.5=379.5 (this is before tax is applied)
The sales tax is 8% or .08
So the price is going to increase by .08(379.5)=30.36 (this is the tax to add in)
So the total cost is 379.5+30.36=409.86
Answer:
Cost of the tent: $517.86
Step-by-step explanation:
Since it's marked up by 65%, that means you add an additional $149.59 to $230. Now, you have $479.50. Now with 8% tax, you multiply $479.50 to 0.08 and we get $38.36. We add $38.36 to $479.50 and we get $517.86. I hope this helps and please mark me brainliest!
What is the middle term in the simplified product?
(x + 3)(x – 4)
Answer:
- x
Step-by-step explanation:
If we expand the product.
Each term in the second factor is multiplied by each term in the first factor
x(x - 4) + 3(x - 4) ← distribute both parenthesis
= x² - 4x + 3x - 12 ← collect like terms
= x² - x - 12
The middle term of the product is - x
What is the equation of the line containing the points (3,1), (9,3) and (27,9)
Answer:
y = (1/3)x
Step-by-step explanation:
If this is truly a line, then we can find its equation using any two of the three given points. If we go from (3, 1) to (27, 9), x increases by 24 and y increases by 8. Thus, the slope of this line is m = rise / run = 8 / 24, or m = 1/3.
Using the point (3, 1) and the slope m = 1/3, the slope-intercept form y = mx + b becomes 1 = (1/3)(3) + b. Thus, b = 0, and the line is y = (1/3)x.
Answer:
y=[tex]\frac{1}{3}[/tex]x ~apex
Step-by-step explanation:
int(1 \(1 + {e}^{x} )
Answer:
[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx}= x - \ln(1 + e^{x}) + C\end{aligned}[/tex].
Step-by-step explanation:
The first derivative of the denominator [tex]1 + e^{x}[/tex] is [tex]e^{x}[/tex]. Rewrite the fraction to obtain that expression on the numerator.
[tex]\begin{aligned}\frac{1}{1 + e^{x}} &= \frac{1 + e^{x}}{1 + e^{x}} - \frac{e^{x}}{1+e^{x}}\\&=1-\frac{e^{x}}{1+e^{x}}\end{aligned}[/tex].
In other words,
[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\end{aligned}[/tex].
Apply [tex]u[/tex]-substitution on the integral [tex]\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx}[/tex]:
Let [tex]u = 1 + e^{x}[/tex]. [tex]u > 1[/tex].
[tex]du = e^{x}\cdot dx[/tex].
[tex]\displaystyle \int{\frac{e^{x}}{1+e^{x}}\cdot dx} = \int{\frac{du}{u}} = \ln{|u|} = \ln{u} +C = \ln{(1+e^{x})}+C[/tex].
Therefore
[tex]\begin{aligned}\int{\frac{1}{1 + e^{x}}\cdot dx} &= \int{dx} - \int{\frac{e^{x}}{1+e^{x}}\cdot dx}\\ & = x - \ln{(1 + e^{x})}+C\end{aligned}[/tex].
Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker needs to pass two checkpoints before completing a race. The total distance for the race is 120 miles. The distance from the starting point to checkpoint 1 is 35 miles more than half the distance from checkpoint 1 to checkpoint 2. The distance from checkpoint 2 to the finish line is 20 miles less than twice the distance from checkpoint 1 to checkpoint 2. Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the finish line. Complete the matrix equation that models this situation, A-1B = X.
The problem involves creating and solving a system of equations based on a story problem. The three equations that represent the system are x + y + z = 120, x = y/2 + 35, and z = 2y - 20.
Explanation:To complete the matrix equation that models this situation, we need to define the distances between the starting point, checkpoint 1, checkpoint 2, and the finish line. Let x represent the distance from the starting point to checkpoint 1, y represent the distance from checkpoint 1 to checkpoint 2, and z represent the distance from checkpoint 2 to the finish line. The matrix equation would look like this:
A * [x, y, z] = B
Learn more about Matrix equation here:https://brainly.com/question/29132693
#SPJ12
Help pleaseeeeeeeeeeeeeeeeeeeeeee
Answer:
B'C'D'
Step-by-step explanation:
The figure was just translated, without any deformation, these are similar figures... so their corresponding angles are the same.
Since it was just moved down by 4 units, none of the angles were changed, and none of the side lengths were changed.
Since vertex C' corresponds to vertex C, the angle B'C'D' corresponds to original angle BCD.
A diver descends at a rate of 12 feet per minute at this rate where will the diver be in relation of surface after 4 minutes
Answer:
48 feet
Step-by-step explanation:
Distance = rate × time
d = 12 ft/min × 4 min
d = 48 ft
The diver will be 48 feet below the surface.
Answer:
-48 ft
Step-by-step explanation:
The unit rate of descent is
-12 ft
-----------
1 min
and so after 4 minutes, the diver will be 48 ft beneath the surface:
-12 ft
----------- * 4 min = -48 ft
1 min
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each.
Linear Function A
Points: (–5, –2), (–5, 7)
Linear Function B
Points: (7, –5), (–2, –5)
Function A has:
The equation of line A is:
Function B has:
The equation of line B is:
Final answer:
The equation for Function A is x = -5, as it represents a vertical line. The equation for Function B is y = -5, representing a horizontal line. Both cases are special and do not use the slope-intercept form.
Explanation:
To find the equations for Function A and Function B, we will analyze the points given for each function.
Function A
For Function A, we have the points (–5, –2) and (–5, 7). These points share the same x-value but have different y-values, which means the line is vertical. The equation for a vertical line is x = constant. Therefore, the equation of line A is x = -5.
Function B
For Function B, the points are (7, –5) and (–2, –5). These points share the same y-value, indicating a horizontal line. The equation for a horizontal line is y = constant, thus the equation of line B is y = -5.
For both equations, we do not use slope-intercept form as these are special cases of vertical and horizontal lines where slope is undefined (vertical line) and zero (horizontal line)
Final answer:
Function A is a vertical line with the equation x = -5, and Function B is a horizontal line with the equation y = -5.
Explanation:
To find the equations for Linear Functions A and B, we need to consider their points and use them to calculate the slope (m) and y-intercept (b). For Linear Function A, the two points given are (–5, –2) and (–5, 7). Since the x-values are the same and the y-values differ, this indicates a vertical line. For a vertical line, the equation does not have a y-intercept and the slope is undefined because the change in x is zero. The equation for a vertical line is simply x = a constant value. Therefore, Function A has an equation of x = -5.
For Linear Function B, the points provided are (7, –5) and (–2, –5). Here, the y-values are the same, indicating a horizontal line. For a horizontal line, the slope (m) is zero because there is no change in y. The y-value for all points on the line is the same, which is the y-intercept (b). Consequently, Function B has an equation of y = -5.
60% of the 50 students in Jessie’s gym class are 12 years old. How many students in Jessie’s class are 12 years old?
Answer:
30
Step-by-step explanation:
60% of the 50 students are 12 years old
60% * 50
Changing to decimal form
.60 * 50
30
30 of the students are 12
Answer:
30Step by-step explanation:just took the test1. In the number 7563291 write down the column that the 5 is in
2. Write down the term to term rule for this sequence: 3,-1,-5,-9
3. Work out the LCM of 18 and 30
4. Simplify b-3b+a+b
5. A child’s shape sorter has 3 green shapes, 3 red shapes, 4 blue shapes and 4 yellow shapes. Write down the probability of selecting a green or red shape
6. Calculate 479+725
7. Which numbers in the 100 times table is 3562 between
8. Find the input into the function machine x3 -5 28
9. Calculate 3/8-1/6
10. In a pie chart an angle of 24 degrees is drawn to represent people who voted labour in the last election. What fraction of people voted labour
11. Two angles are 72 degrees and 49 degrees. They lie on a straight line with a third angle. Calculate the size of the third angle
12. Write a list of 5 numbers with a median of 7
14. Change 0.6 into a percentage
15. Work or 7% of £50
16. How many edges does a square based pyramid have
Please could someone help me with these question I need help ASAP
I will make your answer a brainliest answer
Answer:
Hundred Thousands-490a-b6/14 = 3/712043500 & 3600I am guessing but I am not sure on how to do this one. x=113/8(6)-1/6(8)=18/48-8/48=10/48=****5/24****6.6 repeating180-72=108-49=****59****5,6,7,8,9No number 1360%3.5 or if adding 7% tax then it is 53.508 edges
What is the formulae of a closed cylinder
Answer:
Step-by-step explanation:
Surface area is 2(πr²) + 2πrh. The first includes the top and bottom; the second is the area of lateral sides of the cylinder (radius r and height h).
The volume of this cylinder is V = πr²h.
Answer:
2 pi r square + pi dh
Step-by-step explanation:
2 pi r square + pi dh
NEED ANSWER NOW A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed. Which word describes the slope of the line representing the data in the table? zero undefined negative
This question is based on the reasoning. Therefore, the negative slope of the line representing the data in the table.
Given;
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
We have to describe the slope of the line representing the data in the table.
Reasoning: The number of cards sold is represented by x-axis and the amount of money needed is represented by the y-axis.
In general, as we sell more cards, we gain more money and then, the amount of money needed goes down.
From the given graph terms, we start at the top of our graph with the amount of money needed and zero cards sold and then as we sell cards your slope of the line goes down and we need less and less money.
Therefore, the negative slope of the line representing the data in the table.
For more details, prefer this link:
https://brainly.com/question/18548122
Use a fraction stripe model to find the sum for 5 over 6 + 2 over 3.please if anybody can write the answer. Tomorrow is my exam
Answer:
0.94
Step-by-step explanation:
5/6 +2 /3= 2 5/6 /3= 2.83/3= 0.94
Which expression is equivalent to (2x^2)(3x^3)(4x)^2?
(2x^2)(3x^3)(4x)^2
=6x^5(16x^2)
=96X^7
Answer:
24 x^7
Step-by-step explanation:
(2 x^2)(3 x^3)(4 x)^2 = 2*3*4 * x² * x³ * x² = 24 x^7
How many solutions does this system have?
y=5x-1
y=-3x+7
Answer:
One solution
Step-by-step explanation:
We have the system
[tex]y=5x-1\\y=-3x+7[/tex]
To solve the system, equate both equations and solve for the variable x.
[tex]5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1[/tex]
Now substitute the value of x in any of the two equations and solve for the variable y.
[tex]y=5(1)-1[/tex]
[tex]y=4[/tex]
Finally the system of equations has one solution
I need help with this
Answer:
-1,1,3
Step-by-step explanation:
The zeros,roots and the x-intercept are the same, so see where the graph touches the x axis and that or thosepoints is/are the zeros
PLEASE HELP ME WITH THIS QUESTION AS SOON AS POSSIBLE!!!
Answer:
Angle GBH:
Angle ECD: 34
Angle HGB: 20
Angle FGH:
Step-by-step explanation:
Find all of the angles, some are needed to find others. Use the given angles...
FEC is 124, so the other side of it, CED must be 180-124 which is 56
Now we know CED is 56 and CDE is 90, and a triangles angles add up to 180, therefore angle ECD is 180-56+90, which is 34
Now we can find HCE, 180-90+34, which is 56
Angle CBG is 70 because 180-110 is 70
You can find angle HGB by looking at angle BCG which is 90 and angle CBG which is 70 and subtracting them from 180. 180-90+70=20
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = 1/4(x – 12). What is the standard form of the equation for this line?
Answer:
-¼x + y = -2
Step-by-step explanation:
First, convert to Slope-Intercept Form by moving "1" to the other side of the equivalence symbol to get y = ¼x - 2, then finally convert to Standard Form by moving "-¼x" to the other side of the equivalence symbol to end up with -¼x + y = -2. Do you understand?