Answer:
2(x+7)(x-7)
Step-by-step explanation:
1. In 2x^2-98, there is a common factor of 2
2. The equation therefore becomes 2 (x^2 - 49)
3. We know that x^-49 is a difference of two squares and can therefore be factored into (x+7)(x-7)
4. Therefore the fully factored answer is 2(x+7)(x-7)
USAA is offering a retirement account that is compounded monthly. This account earns 1% interest. His money can remain there for 20 years. He can withdraw it at any time without a penalty. (exponential function equation)
Answer:
what are we supposed to answer???
Step-by-step explanation:
For what value of k will the points (3,5) and (9,k) represent a proportional relationship?
Answer:
k = 15
Step-by-step explanation:
For a proportional relationship to exist then for both points
k = [tex]\frac{y}{x}[/tex] ← k is the constant of proportion, that is
[tex]\frac{5}{3}[/tex] = [tex]\frac{k}{9}[/tex] ( cross- multiply )
3k = 45 ( divide both sides by 3 )
k = 15
What is an equation in point-slope form of the line that passes through (–3, –1) and has a slope of 2?
Answer:
y + 1 = 2(x + 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Slope m = 2
Point (-3, -1)
Step 2: Write Function
Substitute variables into general form.
y + 1 = 2(x + 3)
− 7 / 8 + ( − 1 / 2 )
Answer:-1.375
Step-by-step explanation:
Please help it’s due today
Answer:
1/2 is 4/8 and 5/8 is grater than it
Step-by-step explanation:
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y = 400x + 1000 based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answer:
starting amount in his savings account
Step-by-step explanation:
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
A(-1, 4) is the original pointA'(3, 3) is the image of AWe need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
PLEASE HELP!! Determine whether the triangles are similar. If similar state how (AA~,SSS~, or SAS~), and write a similarity statement
Answer:
Yes they are similar because of SAS similarity
Step-by-step explanation:
the side lengths are proportional to each other, and the angle in the middle of the sides is the same size, therefore it has Side Angle Side (SAS) similarity.
ΔTSR ~ ΔFEG by the SAS Similarity Theorem
What is the SAS Similarity Theorem?SAS Similarity Theorem states that two triangles with two pairs of proportionate sides and a pair of included angle are similar to each other.
In the image given, the two triangles have:
Two pairs of proportional sides - TS/FG = TR/FE = 3.A pair of congruent included angles - ∠T ≅ ∠F.This means they are similar by the SAS Similarity Theorem.
Therefore, ΔTSR ~ ΔFEG by the SAS Similarity Theorem.
Learn more about SAS Similarity Theorem on:
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Which expression completes the statement to form a true inequality?
3+6²<
(a) 3³+12
(b) 5²+4²
(c) 2³+5²+6
(d)2³+14+17
Answer:b
Step-by-step explanation:
Answer: The answer is 5^2+4^2
Step-by-step explanation:
I know this because i took the test and got a 100%
If f(x) = 3х + 10, find f(4)
A
f(4) = 17
f(4) = 22
с
22
f(4) = 17
12) Find the value of x.
which equation is represented by this graph?
A. y = 2/3x - 2
B. y = 2/3x + 3
C. y = 3/2x - 2
D. y = 3/2x + 3
3/2x-2
C. it should be this one
9514 1404 393
Answer:
A. y = 2/3x - 2
Step-by-step explanation:
The line intersects the y-axis at -2, so eliminates choices B and D, which have y-intercepts of +3.
The line has a rise of 2 grid squares for a run of 3 grid squares, so has a slope of ...
m = rise/run = 2/3 . . . . . eliminates choice C
The appropriate choice is the one with a slope of 2/3 and a y-intercept of -2:
A. y = 2/3x - 2
find the slope of the following 2 points (2,-5), (9,3)
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
please help me 30 minutes more please please
Answer:
a. 5 . 2/ -1 + -8
b. 5+ (-1) multiply ( 4 -8)
c. 15 -1^3
Step-by-step explanation:
Will give brainliest :)
Answer:
The answer is B because its the same btw i had the same question and got a 100 on the test :)
Step-by-step explanation:
help plsss im begging
Answer:
The answer is A, $330
Step-by-step explanation:
Answer:
330$
Step-by-step explanation:
165-123.75=41.25
41.25+41.25=82.50
247.5+82.5=330$
Hope this helps
Giving brainliest to best answer
Answer:
Questions??
Step-by-step explanation:
Will you mark me as brainlist?
What is an equation of the line that passes through the point ( − 6 , − 1 ) (−6,−1) and is perpendicular to the line 6 x − y = 7 6x−y=7?
Answer:
y = [tex]-\frac{1}{6}[/tex] x - 2
Step-by-step explanation:
Given coordinate:
( − 6 , − 1 )
Equation of the given line is 6x− y = 7
Unknown:
Equation of the line that passes through the point and is perpendicular = ?
Solution:
A perpendicular line will have a slope that is of negative inverse to the one given;
6x - y = 7
-y = -6x + 7
y = 6x - 7
According to y= mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Therefore, the slope of the line = 6
Perpendicular to this = [tex]-\frac{1}{6}[/tex]
The new line will be;
Let find the intercept;
-1 = [tex]-\frac{1}{6}[/tex] x (-6) + c
-1 = 1 + c
c = -2
The new line is;
y = [tex]-\frac{1}{6}[/tex] x - 2
need this, please. real fast
Answer:
y=(-9/5)x-3
Step-by-step explanation:
to find m:substitute -5 in x value,-3 in c value and 6 in y value in the equation y=mx+c.then,rewrite equation by substituting value of m and c
An altitude ___________ lies outside a triangle. (Please explain)
A. Always
B. Sometimes
C. Never
Answer:
B) Sometimes
Step-by-step explanation:
Two hikers are 77 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 3.3 mph faster than the other.
The speed of the slow hiker is_____ mph, and the speed of the fast hiker is______ mph.
Answer:The rate of the slower hiker is 2.2 mph and the rate of the faster hiker is 5.5 mph
Explanation:
One hiker walks 3.3 mph faster than the other.
Suppose, the speed of the slower hiker is mph.
So, the speed of the faster hiker will be:
Both hikers are walking toward each other and meet in 10 hours.
We know that,
So, the distance walked by the slower hiker in 10 hours miles and the distance walked by the faster hiker in 10 hours
miles.
Given that, they were 77 miles apart in the beginning. So the equation will be
NEED ASAP Triangle XYZ is similar to triangle PDQ. The measures of the angles in triangle XYZ are shown in the table. What is the measure of angle D?
Answer:
measure angle D = 62
Step-by-step explanation:
as the sum of measures of triangle =180
then (8x-40)+(4x-10)+(3x+20)=180
15x-30=180
x=(180+30)/15=14
XYZ SIMILAR TO PDQ
Y=D=3*14+20=62
Find the slope of the line through each pair of points.
(2, 11), (-8, 13)
Answer:
m = -1/5
Step-by-step explanation:
Slope is - 1/5
An oil company fill 1/10 of a tank in 1/5 hour. At this rate which expression can be used to determine how long it will take for the tank to fill completely?
1/5 x 10 hours
1/10 x 5 hours
1/5 x 1/10 hour
5 x 10 hours
find the composition of transformations that map ABCD to EHGF
Answer:
(x - 1, y + 1 )
Step-by-step explanation:
Consider the reflection in the y- axis
A point (x, y ) → (- x, y )
Consider the reflection of point A
A(- 5, 2 ) → A'(5, 2 )
Now A → E after the transformations
E = (4, 3 ), thus
A'(5, 2 ) → E(4, 3 )
(x, y ) → (x + (- 1), y + 1 ) = (x - 1, y + 1 )
The translation rule is (x, y ) → (x - 1, y + 1 ).
What is Translation?In mathematics, translation is a transformation that moves every point of a figure or a graph the same distance and in the same direction. The object being translated retains its size and shape, but its position changes.
Consider the reflection in the y- axis
A point (x, y ) → (- x, y )
Consider the reflection of point A
A(- 5, 2 ) → A'(5, 2 )
Now A → E after the transformations
E = (4, 3 ), then
A'(5, 2 ) → E(4, 3 )
Thus, the translation rule is (x, y ) → (x + (- 1), y + 1 ) = (x - 1, y + 1 )
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Determine the equation of the line given by the graph
A) y-3x+2
B) y=3x-2
C) y=1/3x+2
D) y=1/3-2
Answer:
y=3x-2
Step-by-step explanation:
Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa. Con la cuarta parte del dinero compró una bolsa de palomitas y le sobraron 5 euros. ¿Con cuánto dinero salió de casa?
Answer:
Héctor salió de su casa con 12 euros.
Step-by-step explanation:
Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:
[tex] C = \frac{1}{3}x [/tex] (1)
Cuando compró una bolsa de palomitas con la cuarta parte:
[tex] P = \frac{1}{4}x [/tex] (2)
Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:
[tex] x - C - P = 5 [/tex]
[tex] x - \frac{1}{3}x - \frac{1}{4}x = 5 [/tex]
[tex] x = 12 [/tex]
Por lo tanto, Héctor salió de su casa con 12 euros.
Espero que te sea de utilidad!
Tuition for one year at a state university is about $13,000. Devon would like to attend this university and will save money each month for the next 4 years. His parents will give him $5,200 for his first year of tuition. Which plan shows the minimum amount of money Devon must save to have enough money to pay for his first year of tuition?
Answer:
$162.50 per month for the next 4 years
Step-by-step explanation:
Here are the options to this question :
Save $270.83 per month for the next 4 years
Save $162.50 per month for the next 4 years
Save $650.00 per month for the next 4 years
Save $108.33 per month for the next 4 years
If Devon's parents would give him $5,200 for his first year of tuition, Devon needs to save a minimum of :
$13,000 - $5,200 = $7,800
If he saves per month for the next four months, he would save 48 times ( 12 months in a year multiplied by 4 years)
The minimum he should save per month = $7800 / 48 = $162.50
What is y + 5 = 7(x– 8) written in standard form?
Choose 1 answer:
A) x-7y=-61 B)-7x+y=-61 C) x+7y=-61
D) 7x + y = -61
Answer:
B)-7x+y=61
Step-by-step explanation:
y + 5 = 7(x– 8)
y + 5 =(7xX)(7x-8)
y + 5 =(7x)(-56)
y – 5 =(7x)(-56+-5)
y=7x-7x-61/
-7x+y=-61
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Answer:
There is no picture
Step-by-step explanation:
Answer:
This table represents the cups of coffee, c, a coffee shop has left after being open for h hours. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? Drag and drop the slope and y-intercept into the corresponding boxes.
Slope -48, 9 ,48 ?
y-intercept 432, C, 6, 9?
(LEFT SIDE IS HOURS, RIGHT SIDE CUPS)
TABLE-------
HOURS, H / CUPS, C
0 / 432
3 / 288
6 / 144
9 / 0
Step-by-step explanation:
Here is the table