Answer:
The smaller integer is -3 and the greater integer is -2
Step-by-step explanation:
Equations
Let's call
x = the smaller integer
x + 1 = greater consecutive integer
The relationship between them is that twice the smaller is four less than the greater:
2x = x + 1 - 4
Subtracting x:
x = 1 - 4
Operating:
x = -3
x + 1 = -2
The smaller integer is -3 and the greater integer is -2
kx^2 + 6x + k = 0 find k
Answer:
Step-by-step explanation:
kx^2 + 6x + k = 0
k= 6x/x^2+1
Functions Question (image attached)
Answer:
[tex]x {}^{2} \times + 4x[/tex]
Step-by-step explanation:
[tex]f(x + 4) = (x + 4) {}^{2} - 3(x + 4) - 4 \\ = x {}^{2} + 8x + 16 - 3x - 12 - 4 \\ = x {}^{2} + 4x[/tex]
True or false: Any sequence of rigid motions preserves the size of the transformed figure.
(1 point)
O This statement is true.
This statement is false. No sequence of rigid motions preserves the size of the transformed
figure.
This statement is false. Only sequences of rigid motions that do not include
translations preserve the size of the transformed figure.
This statement is false. Only sequences of rigid motions that do not include reflections preserve
the size of the transformed figure.
Answer:
the answer is A: the statement is true
It is given that Any sequence of rigid motions preserves the size of the transformed figure. Thus, This statement is true. so option A is correct.
What is rigid transformation?A rigid transformation is a transformation of the plane that preserves length. In a rigid transformation the initial shape and the image shape are congruent.
There are Main properties:
1. The distance (lengths of segments remain the same)
2. The angle measures (remain the same)
3. The parallelism (parallel lines remain parallel)
4. A collinearity (points remain on the same lines)
5. An orientation (lettering order remains the same)
It is given that Any sequence of rigid motions preserves the size of the transformed figure.
Thus, This statement is true. so option A is correct.
Learn more about rigid transformation;
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Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4 *
Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4.
__________________________________________________________
Parallel lines are lines with the same slope but different y-intercept.
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept.
__________________________________________________________
The given line is y=-2x+4. A line parallel to this would have the same slope, which is -2. To find the y-intercept, plug the point into an equation in point-slope form.
[tex]\displaystyle \text{Point-Slope Form} \rightarrow y-y_{1}=m(x-x_{1})[/tex]
m is the slope, and since the slope is the same as the given line, m will be equal to 2.
The line is supposed to pass through a point, which is written as (x, y). In this line, it is supposed to pass (6, -3). x₁ will be the x value of the point, and y₁ will be the y value of the point. That means x₁ is 6 and y₁ is -3.
Substitute the values into the formula:
[tex]y-y_{1}=m(x-x_{1}) \rightarrow y-(-3)=2(x-6)[/tex]
When subtracting a negative number from a number or variable, the sign will change, and the number will become positive.
[tex]y-(-3)=y+3[/tex]
Here is the new equation:
[tex]y-3=2(x-6)[/tex]
Distribute the 2 to everything in the parentheses. It will be 2 times x and 2 times -6. Remember that a positive number multiplied by a negative number is negative.
Positive(+) times(×) positive(+) = positive(+) Positive(-) times(×) negative(-) = negative(-) Positive(+) divided(÷) by positive(+) = positive(+) Positive(+) divided(÷) by negative(-) = negative(-)[tex]2 \times x=2x\\2 \times -6=-12\\\\2(x-6)=2x-12[/tex]
Rewrite the equation:
[tex]y-3=2x-12[/tex]
Lastly, you need to move -3 to the other side, as slope-intercept form is written as y=mx+b. You can move it by adding three(+3) to both sides, which is simply doing the opposite of it(-3+3=0).
[tex]\displaystyle y-3+3=2x-12+3[/tex]
[tex]y=2x-9[/tex]
The answer to your question is [tex]\bf \displaystyle y=2x-9[/tex].
What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
In Aunt Peggy’s backyard there are cows and chickens. There are 20 more chickens than cows. The total number of legs is 130. How many chickens and how many cows are there? (Each cow has 4 legs, each chicken has 2 legs.)
Answer:
There's 15 cows and 35 chickens.
Step-by-step explanation:
Take 20 and multiply it by 2. The answer is 40. Then subtract 40 from 130. The answer will be 90. The cow has double the amount of legs than the chicken, so the cow is equivalent to 2 chicken. Divide 90 by 3. The answer is 30. Then divide 30 by 2 the answer is 15. Add 15 and 20 and the answer is 35 chickens. Divide 30 by 2 and the answer is 15.
You will get 35 chicken and 15 cows as your answer. Happy Election Night, and I hope this helps! ;)
i need help pls anyone
Answer:
[tex]5\geq m[/tex] - put a closed dot on 5, then an arrow pointing to the left
Step-by-step explanation:
You have to solve the equation. After solving, you should end up with [tex]5\geq m[/tex]
If the factors of a quadratic function are (x + 2) and (x − 9), what are the x-intercepts of the function?
A.
(-9,0) and (-2,0)
B.
(-2,0) and (9,0)
C.
(2,0) and (9,0)
D.
(-9,0) and (2,0)
Answer:
The x-intercepts of the function are:
(-2,0) and (9,0)Step-by-step explanation:
As
[tex]( x + 2 ) ( x - 9 ) = 0[/tex]
so
Either
( x + 2 ) = 0
or
( x - 9 ) = 0
solving ( x + 2 ) = 0
[tex]x + 2 = 0[/tex]
[tex]x = 0 - 2[/tex]
[tex]x = -2[/tex]
solving ( x - 9 ) = 0
[tex]x-9=0[/tex]
[tex]x=9[/tex]
We also know that to get x-intercepts by setting y=0.
Therefore, the x-intercepts of the function are:
(-2,0) and (9,0)Answer:
The correct answer is (-2,0) and (9,0)
Step-by-step explanation:
PLATOOOOOOOOOOOO!!!!!!!!!!!!!!!
plss help ill give you brainiest
An elephant at the zoo lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Write an integer that represents the change in the elephant's weight each month.
Answer: lost 4 lbs every month
Step-by-step explanation:
24 divided by 6
= 4
Answer:
The elephant lost 4 pounds each month
Step-by-step explanation: if the elephant lost the same weight each month then you would need to divide 24 by 6 and you would get 4 .which is the elphants change in weight each month. Hope this helps!
What is the length of line segment KJ?
O 2/3 units
O 32 units
M 3 v
O 3/3 units
O 375 units
Match each data relationship with a type of correlation
Answer:
Y tends to increase as x increases: positive correlation
Step-by-step explanation:
Y tends to decrease as x increases: negative correlation.
Y does not change bases on changes in x: No correlation.
I
PLZ HELP
WILL MARK BRAINLIEST IF YOUR ANSWER IS CORRECT
Answer:
I believe it would be y=740x+710
Step-by-step explanation:
740 represents the constant
x represents the unknown number
710 represents the starting distance
I hope this helps!!!
Answer:
y=740x
Step-by-step explanation:
because the x equals the hours and the y equals the altitude then just put in order.
please help todays the last day
Answer:
dehydration
Step-by-step explanation:
Diurectics causes an increase in amount of urine. I.e it makes you pee more.
If you urinate too much, you run the risk of dehydration because you lose too much water.
-7/9 greater or less than -5/8?? help me quick please!
Answer:
-7/9 is less than -5/8.
Step-by-step explanation:
-5/8 in decimal form is -0.625.
-7/9 in decimal form is -0.777777778.
Watch help video
In ARST, the measure of angel T=90°, ST = 7.7 feet, and RS = 9.7 feet. Find the measure
of Angel R to the nearest degree.
Answer: 53
Step-by-step explanation:
select all the proper fractions .
a ; 5/3
b ; 6/7
c ; 12/17
d ; 9/6
e ; 11/4
f ; 6/25
Answer:
B
C
F
Step-by-step explanation:
6/7
12/17
6/25
Best,
SunflowerJada
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for 26.25 which is less expensive per pound how much less expensive
Answer:
The apricots are $2.24 less expensive per pound.
Step-by-step explanation:
To find the price per pound of each product divide the price Dorian by the number of pounds Dorian bought:
Almonds: 21.98 ÷ 2 = 10.99
Almonds cost $10.99 per pound.
Apricots: 26.25 ÷ 3 = 8.75
Apricots cost $8.75 per pound.
The apricots are less expensive per pound. To find how much less expensive they are compared to the almonds, subtract the cost of the apricots per pound from the cost of the almonds per pound:
10.99 - 8.75 = 2.24
The apricots cost $2.24 less per pound than the almonds do.
Triangles B and C have been built by dilating Triangle A
Pleas im so close to failing class and can't mess up on this project
Wish you a GREAT Thanksgiving :)
I hope this helps !! =)
a) A
b) 3
c) 1/3
d) 2
Answer:
The answer is d
Step-by-step explanation:
Because it can be combined in the equation
It is given that AD = 4x + 8 and DB = 6x - 3. Solve for x.
Answer:
x=18
Step-by-step explanation:
Can someone’s please solve this.
The answer would be 3 1/3
Use a model to divide 2
Answer:
2/2 divided by 1/3 becomes 2/2 * 3/1 by using keep change flip. 2/2 * 3 is 6.
Is this congruent by SSS, SAS, AAS, ASA? Please help!
Answer:
SSS
Step-by-step explanation:
There is two given congruent angles
20) Find the measure of each angle
T
4
X
11
B)
4.
951
A)
36
103
C)
36
171
D)
4
Answer:
Step-by-step explanation:
2 π + ( π - [tex]\frac{\pi }{4}[/tex] ) = [tex]\frac{8\pi +4\pi -\pi }{4}[/tex] = [tex]\frac{11\pi }{4}[/tex]
Hank works at an auto repair shop. He has a customer that spent $415 on parts for the repair. Hank
charges $30 an hour in labor costs. If he has quoted the customer that it will be no more than $550, how many hours, h, will the work take
him?
Answer:
Auto repair labor rates vary widely across the country, and even within the same city. As of January 17, 2017, auto repair shops in the AAA Approved Auto Repair network charged between $47 and $215 per hour, based primarily on the shop's cost of doing business.
need help asap please!!!!!
Answer:2
20/10=2/1=2
Step-by-step explanation: Rise over run
find a point were you can measure the squares I used 30 to 50
count the squares going up;2 and each square represents 10 so that equals 20
count the square(s) over; 1 and each square equals 10 so that equals 10
20 over 10 reduced is 2 over 1 and if a fraction is over 1 then it is a whole.
I hope this was good enough for you:
1/2 w + 2 ; w = 1/9 what is the answer because i have been on this problem for an hour
Answer:
its -1/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
1/2 (1/9) + 2=
1/18 + 2=
2 1/18
Find the slope of the line containing the pair of points.
(-9,- 8) and (-8,-6)
Answer:
slope = 2
Step-by-step explanation:
-8 - -6 / -9 - -8 = 2
Answer:
[tex]\frac{2}{1}[/tex] which is just 2
Step-by-step explanation:
slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]
So plug the numbers in, now it should look like [tex]\frac{-6 - (-8)}{-8 - (-9)}[/tex]
-6 - (-8) = 2
-8 - (-9) = 1
So the slope is [tex]\frac{2}{1}[/tex]
The Math Club is renting a banquet room for a party with door prizes. The banquet room costs
$125 to reserve and the door prizes each cost $8.50. Find the possible number of door prizes that
can be purchased if the club decides to use no more than $250 to reserve the banquet room and
the purchase the door prizes.
Answer:
14
Step-by-step explanation:
henry ford sells auto parts at ricarts. he gets 5% commission on the first
$5000 in sales, 7% on the next $7000 and 9% on anything over $12000 last month he sold $20000.How much commission did he receive?
A. 1492
B. 1460
C. 1520
D. 1620
Answer:
The answer is 1800
Step-by-step explanation
9% of 20,000 = 1800
State the slope and the y-intercept for the graph of the equation. y = x – 3 a. ; 3 b. –; 3 c. ; 3 d. 3;