Answer:
= 3
Step-by-step explanation:
1. subtract 8 from both sides of the equation
2 . Simplify
3 . Add 5 5x 5x to both sides of the equation
4 . Simplify
5 . Divide both sides of the equation by the same term
6 . Simplify
Answer:
x = 3
Step-by-step explanation:
- 7x + 8 = - 5x + 2
- 7x + 5x = 2 - 8
- 2x = - 6
x = 3
The function y - 3 = 4(x + 2) is in point-slope form. Select the equivalent equation in slope-intercept form
y = 112 +4
y = 4.3 +11
y = 4x + 5
y = 4x + 8
What is the Slope of the line?
Answer:
1/2
Step-by-step explanation:
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A punch recipe calls for 26 liters of lemon lime soda and 14 gallons of
vanilla ice cream. If Tanya wants to make this recipe, but she only has 7 gallons of
vanilla ice cream, how much lemon lime soda will she need?
We are standing on the top of a 1680 ft tall building and throw a small object upwards. At every second, we measure the distance of the object from the ground. Exactly seconds after we threw the object, it’s height, (measured in feet) is
ℎ= -16^2 + 256 + 1680
a.) Find ℎ when = 3.
b.) How much does the object travel during the two seconds between 5 seconds and 7 seconds?
c.) How long does it take for the object to reach a height of 2640 ft?
d.) How long does it take for the object to hit the ground?
Answer:
a) The height of the small object 3 seconds after being launched is 2304 feet.
b) The small object ascends 128 feet between 5 seconds and 7 seconds.
c) The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) The object will take 21 seconds to hit the ground.
Step-by-step explanation:
The correct formula for the height of the small object is:
[tex]h(t) = -16\cdot t^{2}+256\cdot t+1680[/tex] (1)
Where:
[tex]h[/tex] - Height above the ground, measured in feet.
[tex]t[/tex] - Time, measured in seconds.
a) The height of the small object at given time is found by evaluating the function:
[tex]h(3\,s)= -16\cdot (3\,s)^{2}+256\cdot (3\,s)+1680[/tex]
[tex]h(3\,s) = 2304\,ft[/tex]
The height of the small object 3 seconds after being launched is 2304 feet.
b) First, we evaluate the function at [tex]t = 5\,s[/tex] and [tex]t = 7\,s[/tex]:
[tex]h(5\,s)= -16\cdot (5\,s)^{2}+256\cdot (5\,s)+1680[/tex]
[tex]h(5\,s) = 2560\,s[/tex]
[tex]h(7\,s)= -16\cdot (7\,s)^{2}+256\cdot (7\,s)+1680[/tex]
[tex]h(7\,s) = 2688\,s[/tex]
We notice that the small object ascends in the given interval.
[tex]\Delta h = h(7\,s)-h(5\,s)[/tex]
[tex]\Delta h = 128\,ft[/tex]
The small object ascends 128 feet between 5 seconds and 7 seconds.
c) If we know that [tex]h = 2640\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t-960=0[/tex] (2)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 10\,s[/tex] and [tex]t_{2}= 6\,s[/tex]
The object will take 6 and 10 seconds after launch to reach a height of 2640 feet.
d) If we know that [tex]h = 0\,ft[/tex], then (1) is reduced into this second-order polynomial:
[tex]-16\cdot t^{2}+256\cdot t +1680 = 0[/tex] (3)
All roots of the resulting equation come from the Quadratic Formula:
[tex]t_{1} = 21\,s[/tex] and [tex]t_{2} = -5\,s[/tex]
Just the first root offers a solution that is physically reasonable.
The object will take 21 seconds to hit the ground.
Find the value for x for which r ll s. Then find m<1 and m<2. m<1 = (60-2x)to the zero power m<2 = (71 - 3x)to the zero power. The value for x for which r || s is ?
Which expressions are equivalent to (5g+3h+4)•2?
Answer:
nc
Step-by-step explanation:
nc
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She
bought 10 ounces of spicy popcorn for $2.50.
1. How much does popcorn cost per ounce?
2. How much popcorn can you buy per dollar?
3. Write two different equations that represent this situation. Use p for ounces of popcorn and a
for cost in dollars.
4. Choose one of your equations, and sketch its graph. Be sure to label the axes.
Answer:
for the first question divide 2.50 by 10
What percent of 35 is 21
Answer:
7.35
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
Hope this helps!!!
Can I have Brainliest???
What is the measure of <6
<6=
Answer:
20/20
Step-by-step explanation:
The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?
Answer:
The equation which correctly relates x and y is y = 4x
Step-by-step explanation:
The equation of the direct variation is y = k x, where
k is the constant of variationTo find the value of k, use the initial values of x and y∵ The variables x and y vary directly
→ Use the form of the equation above
∴ y = k x
∵ When x = 13, y = 52
→ That means the initial values of x and y are 13 and 52
∴ x = 13 and y = 52
→ Substitute them in the equation above to find k
∵ 52 = k (13)
∴ 52 = 13k
→ Divide both sides by 13
∴ 4 = k
∴ The value of k is 4
→ Substitute it in the equation
∴ y = 4x
∴ The equation which correctly relates x and y is y = 4x
Which relation is a function? Group of answer choices (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) (9, −3), (9, 3), (4, −2), (4, 2), (0, 0) (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) (1, 1), (2, 2), (3, 3), (4, 4), (5, 8)
Given:
The relations in the options.
To find:
The relation which is a function.
Solution:
Consider the options are :
(a) {(2, 7), (6, 5), (4, 4), (3, 3), (2, 1)}
(b) {(9, −3), (9, 3), (4, −2), (4, 2), (0, 0)}
(c) {(1, 0), (3, 0), (1, 1), (3, 1) (1, 3)}
(d) {(1, 1), (2, 2), (3, 3), (4, 4), (5, 8)}
A relation is a function if there exist a unique y-value for each x-value.
In option (a), y=7 and y=1 at x=2. So, it is not a function.
In option (b), y=-3 and y=3 at x=9. So, it is not a function.
In option (c), y=0 and y=1 at x=3. So, it is not a function.
In option (d), there are unique y-value for each x-value. So, it is a function.
Therefore, the correct option is (d).
m passes through
(-2, 7) and (-6, 1)
Answer:
it should look like this
Step-by-step explanation:
Can you please help me please.
If the ratio of ducklings to mama ducks is 7 to 1 how many ducklings would there be if there were 5 mama ducks? Use a table to solve using ratios!
Help me quickly
Answer:
There would be 35 ducklings
Step-by-step explanation:
If the ratio to baby ducklings to mama ducks is 7 to 1 then the constant of proportionality is 7. So you take the amount of mama ducks and multiply that by 7 you get your answer.
7 x 5 = 35
A car lot owner is trying to get rid of this year's inventory to make room for the new vehicles. He paid $25,599 for a red truck. If he sells it to a customer for $22,000, what mark down percentage did he use?
Answer:
14%Step-by-step explanation:
Step one
given data
Cost price of vehicle= $25,599
Selling price of vehicle= $22,000
Required
The percentage discount in the price
Step two:
% discount= cost price-selling price/cost price*100
% discount= 25,599-22,000/25,599*100
% discount= 3599/25,599*100
% discount= 0.140*100
% discount= 14%
The mark down percentage use is 14%
1. if andrew earned 49.50 how many hours did he work?
2.If Andrew works 9 hours, how much money will he make?
Answer:
Step-by-step explanation:
49.50/8.25= 6 hours
9*8.25= 74.25
Answer:
1.He worked for 6 hours
2.$4.25
Step-by-step explanation:
1.
49.50 divide by 8.25=6
8.25 X 6=$49.5
2.
$8.25 X 9=$74.25
Which equation could be used to find the value of x in the triangle below? (pls help)
Answer:
B.
Step-by-step explanation:
All of it needs to add up to 180
So you have
2x + 4x+10 + 6x-10 = 180
Combine like terms
12x=180
Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?
A) R'(8,2)
B) R'(1, 1/4)
C) R'(6,3)
D) R'(2,8)
Answer:
Correct Answer: (8,2)
Step-by-step explanation:
Dilation about the origin
Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.
In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).
The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)
Jesus is looking for a new gym Fitness Connection costs $6 to join with a monthly fee of $14. Fitness World costs $10 to join with a monthly of \$12 . Which oquation and solution represent the number of months will take for both gymo to cost the same?
jesus do be gettin buff doe
the radius of the base of a right cylinder is 12 cm and the height and the height of the cylinder is 18 cm. in terms of pi what is the volume of the cylinder.
Answer:
Step-by-step explanation:r=12cm,h=18cm,v=?
Vol. Of a cylinder=Πr²h
V= Π×12²×18
V= Π×144×18
V=2592Πcm³
You might keep your money in a bank, but have you heard of a time
bank? This online service allows users to trade
services with one
another without exchanging money. For example, a hairdresser gives
someone a haircut for one hour of credit in the time bank. The
hairdresser could then use that credit to have a plumber come work for
her for an hour. Time banks are useful for people who can't arrange
direct trades. The plumber might not want a haircut, but he can work
for the hairdresser and earn credit to use with someone else.
How does the detail "The plumber might not want a haircut, but he can work
for the hairdresser and earn credit to use with someone else" best support
the central idea that time banks are a convenient way to get things done?
Explanation:
Of course, the plumber might not want a haircut, but he might have a wife, a fiancee, or a sister who may need the services of a hairdresser so working for the hairdresser would earn him credit that can be used by any of these people. So in a sense, he is getting things done for others.
Therefore, the time-bank service solves a problem by allowing people to receive services without exchanging money.
$36 - $12.75 =
Pls answer
In the diagram above, mZABC = (3x-1), mZCBD = (2x)°, and mZDBE = (4x + 1)º. Find mZABC, mZCBD, and
mZDBE. Assume that ZABE is a straight angle.
A. ZABC = 290, mZCBD = 20°, and mZDBE = 1319
B. ZABC = 59°, mZCBD = 20°, and mZDBE = 101°
C. m ABC = 59, mZCBD = 40°, and MZDBE = 81°
Dm ABC = 61º, mZCBD = 390, and mDBE = 80°
Step-by-step explanation:
3x -1 +2x + 4 x +1 = 180
9x = 180
X= 20
<ABC = 59
< CB D = 40
< DBE = 81
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
This question is incomplete
Complete Question
A contestant in a game show has 9,000 points. The contestant answers the next question incorrectly and loses 750 points. Does the word "lose" suggest a positive integer or a negative integer? What integer represents a loss of 750 points?
a) Positive, + 750
b) Positive , - 750
c) Negative , +750
d) Negative , - 750
Answer:
d) Negative , - 750
Step-by-step explanation:
We are told in the question that the contestant has 9000 points
Then he loses 750 points.
This means that the 750 points would be deducted from the 9000 points he the contestant has already.
The word lose is a negative and it carries the Subtraction (-) sign,
hence, lose suggests a negative integer which is given as:
-750
Option d is the correct option
4.5.11
Mohamed wrote the paragraph proof to show that ADEG AEFG. What mistake did he make?
ADEG and AEFG are right triangles.
The figure shows DE = EF, AND
EG EG by the Reflexive Property.
Therefore, by the HL theorem,
ADEG AEFG
G
X Х
Choose the correct answer below.
O A. The two triangles are congruent by SAS, not the HL Theorem.
O B. In AEFG, EF is a leg and in ADEG, DE is the hypotenuse, so they cannot be corresponding sides.
O C. The two triangles are congruent by SSS, not the HL Theorem.
OD. In AEFG, EG is a leg, and in ADEG, EG is the hypotenuse, so they cannot be corresponding sides.
Answer:B?
Step-by-step explanation:
The two triangles are congruent by SAS, not the HL theorem. Therefore, the correct answer is option A.
Triangle DEG and triangle EFG are right triangles.
The figure shows DE=EF (Given)
EG=EG by the reflexive property.
Therefore, by the HL theorem, Triangle DEG and triangle EFG are congruent.
Here, Mohamed stated postulate wrong.
By SAS postulate, Triangle DEG and triangle EFG are congruent.
Therefore, the correct answer is option A.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
#SPJ6
Find the value of 3w-1 given that - 2w+8= 6.
Simplify your answer as much as possible.
Answer:
-4
Step-by-step explanation:
Given 2w + 8 = 6, find w
2w = -2w = -1found w = -1, sub it into 3w - 1
3w - 1 = 3(-1) -1-3 - 1= -4Question 1 (1 point)
Determine if the statement is true or false:
positve PLUS positive=negative
True
False
Answer:
false
Step-by-step explanation:
Answer the link at the bottom plz
Answer:
2/3
Step-by-step explanation:
24students - 8 boys = 16 girls
16/24
2/3
Answer:
[tex]\frac{16}{24}=\frac{2}{3}[/tex]
also
[tex]\frac{8}{24} =\frac{1}{3}[/tex]
Step-by-step explanation:
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x overbarequals103.26, y overbarequals102.05, requals0.897, P-valueequals0.000, and ModifyingAbove y with caret equals negative 13.47 plus 1.12 x, where x represents the IQ score of the twin born first. Find the best predicted value of ModifyingAbove y with caret given that the twin born first has an IQ of 105? Use a significance level of 0.05.
Answer
The value is [tex]P = 131.07[/tex]
Step -by -step -explanation :
From the question we are old that
The sample size is n = 20
The sample mean for the first person of each twin is [tex]\= x = 100.45[/tex]
The sample mean for the second person of each twin is [tex]\= y = 103[/tex]
The correlation between both data is r = 0.908
The p-value is p-value = 0.000
The equation [tex]\^ y = 13.47 + 1.12 x[/tex]
Here we are told that x represents the first person to be given birth to among each twin
The value of x considered is x = 105
Generally given that p-value = 0.000
Then the Predicted value of [tex]\^ y[/tex] is mathematically represented as
[tex]P = 13.47 + 1.12 (105)[/tex]
=> [tex]P = 131.07[/tex]
what is the slope of the lines that passes through the point (-6,1) and (3,7)?