Answer:
(2x-1)(2x+3)
Step-by-step explanation:
4x^2 + 4x - 3
4x^2 + 6x - 2x - 3
2x(2x + 3) - 1(2x + 3)
(2x - 1) (2x + 3)
what is the factor X squared plus 4X plus 3 equals 15
Answer:
(x-2) (x+6)
Step-by-step explanation:
If it is written like this:
[tex]x^{2} +4x + 3 = 15[/tex]
To focus on the equation on the left rewrite the equation equal to the value of zero.
(x-2) (x +6) = 0
The answer is (x-2) (x+6)
A shirt is originally $40, but today it is on sale for 35% off.
If sales tax is 8%, what is the total price for the shirt?
Answer:
$23.92
Step-by-step explanation:
35% of 40 is 14. 40-14=26. 8% of 26 is 2.08. 26-2.08=23.92
what is 9 squared times 8 squared
Answer:
5184
Step-by-step explanation:
9 squared is 81 (9 x 9)
8 squared is 64 (8 x 8)
64 x 81 is 5184
2.25x + 15 = 9.5x + 0.5
Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
2.25x+15=9.5x+0.5
15-0.5=9.5x-2.25x
14.5=7.25x
x=14.5
7.25
x=2
hope it helps.
Use the definition of congruence to decide whether the two figures are congruent
Someone help please
Answer:
These two figures are not congruent.
Step-by-step explanation:
The definition of congruence is, "In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.", now knowing this we next take a look at the figures.
Coordinates (A, E) do not match up with the bottom figures (P, T). The next coordinates (E, D) also don't match up with coordinates (T, S). Coordinates (A, B) and (P, Q) don't match up together either. (B, O), (Q, R), (O, D), or (R, S) also do not match up if you look closely at them. Now you can conclude that although these two figures may look alike at first glance, their points are put in different places showing that they aren't the same in shape and size; meaning they are not congruent.
Two figures are congruent if their dimensions are equal
ABCDE = PQRST therefore, ABCDE ≅ PQRST, by the definition of congruency
Reason:
The coordinates of pentagon ABCDE are;
A(-2, 8), E(4, 8), D(6, 2), C(-2, 2), B(-4, 6)
The coordinates of pentagon PQRST are;
P(-3, 0), T(3, 0), S(5, -6), R(-3, -6), Q(-5, -2)
By performing the vector translation of [tex]\dbinom {1}{8}[/tex], to PQRST, we have;
P(-3 + 1, 0 + 8) = (-2, 8) = Coordinates of A
T(3 + 1, 0 + 8) = (4, 8) = Coordinates of E
S(5 + 1, -6 + 8) = (6, 2) = = Coordinates of D
R(-3 + 1, -6 + 8) = (-2, 2) = = Coordinates of C
Q(-5 + 1, -2 + 8) = (-4, 6) = = Coordinates of B
Given that a translation is a rigid transformation and that by performing a translation transformation of [tex]\dbinom {1}{8}[/tex], on PQRST gives ABCDE, we have that the dimensions of the pentagon ABCDE = The dimensions of the pentagon PQRST, we have;
ABCDE = PQRST
Therefore;
ABCDE ≅ PQRST, by the definition of congruency
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The cook prepares 12 hard-boiled eggs, 36 scrambled
eggs, and 7 poached eggs. Write the ratio of hard-
boiled to scrambled eggs as a fraction.
Answer: 12/36 and simplified would be 1/3
Step-by-step explanation:
12 - hard boiled eggs
——
36 - scrambled
Divide them by 12 and you get a simplified fraction
write the equation for this line in slope intercept form
Answer:
y = [tex]\frac{3}{2}[/tex]x + 2
Step-by-step explanation:
Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.
The y-intercept is the point where the line intersects the y- axis.
y = mx + 2
The equation to find slope is [tex]\frac{y1-y2}{x1-x2}[/tex] Two points from the line: (0,2) (4,8)
[tex]\frac{8-2}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]
y = [tex]\frac{3}{2}[/tex]x + 2
On Wednesday mornings, admission to the park swimming pool is $3.00 per adult and $2.00 per child. Which expression can be used to find the cost of admission to the pool for a group of adults (a) and children (c)?
A. 3ac
B.5+ac
C. 3a+2c
D. 2(3)+ac
WILL GIVE BRAINLIEST I NEED THIS FAST
Answer:
C.) 3a + 2c
Step-by-step explanation:
$3 per adult (a)
$3(a)
+
$2 per child (c)
$2(c)
Answer:
C. 3a+2c
Step-by-step explanation:
It is 3 $ for a adult hence the 3a and 2$ for a child hence 2c
Simplify. Your answer should only contain only positive exponents.
Answer:
A
Step-by-step explanation:
A sloth travels about 7 feet every minute. Generate the set of ordered pairs for the ratio relationship between the total distance traveled y and the number of minutes x for a total of 1, 2, 3, and 4 minutes.
(1,
), (2,
), (3,
), (4,
)
Part B
the 4 ordered pairs for the given proportional relation are (1, 7), (2, 14), (3, 21), (4, 28).
How to find the set of ordered pairs?
Here we know that the sloth travels about 7 feet every minute, then we can define the speed as:
S = 7 ft/min
Now remember the relation:
distance = speed*time
Then the proportional relation is:
D = 7*t
The ordered pairs are of the form (t, D)
if t = 1.
D = 7*1 = 7
if t = 2
D = 7*2 = 14
if t = 3
D = 7*3 = 21
if t = 4
D = 7*4 = 28
Then the 4 ordered pairs are (1, 7), (2, 14), (3, 21), (4, 28).
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The base of an isosceles triangle is 4 units longer than the
sides. The perimeter of the triangle is 23.6 units. Which
system of equations can be used to find the length b of the
base and the length s of the sides?
Step-by-step explanation:
2s + b = 23.6
s + 4 = b
s = b - 4
2b - 8 + b = 23.6
3b = 31.6
b = 31.6 / 3 = 10.53333333(etc.) which is approx. 10.53
s = 6.53
Answer:
1gm = 1000mg so 0.1gm = 1000mg
first, convert the weight to kg
160lb * 1kg/2.2lb = 72.7kg
next, the dose
72.7kg * 100mg/kg = 7270mg
Step-by-step explanation:
Juan noticed that if he takes the opposite of his age and
adds 40, he gets the number 28: How old is Juan? Write
an equation and solve. Use a for his age.
Answer:
-a + 40 = 28, a = 12
Step-by-step explanation:
If he takes the opposite of his age, that means the current number is negative. We can get -a + 40 = 28, we can then simplify by subtracting both sides by 40 and getting -a = -12 which is equal to a = 12
Class A has 30 pupils and class B has 30 pupils.
Both classes sit the same maths test.
The mean score for class A is 55.
The mean score for class B is 65.
What is the mean score in the maths test across both classes?
Answer:
30
Step-by-step explanation:
b/c mean is average by another word
55 + 65 = 120
120\2 = 60
Which ordered pair is a solution of the equation y=5x? (-2, 10) (-5, 25) (-3, 15) (-2, 10)
One of the solutions of the given equation y = 5x is (2,10)
The solution of an equation means if we substitute the value of this solution into the equation, it will produce the correct equality from the left side to the right side.
If the solution has 2 variables, for example x and y, and the solution is (a,b) means that if we replace x with a and y with b, the equality is correct.
The given equation is: y = 5x
For option (-2,10), substitute x = -2 and y = 10 into the equation:
10 = 5 . (-2)
10 = -10 (False)
Hence (-2,10) is not a solution.
For option (-5, 25), substitute x = -5 and y = 25 into the equation:
25 = 5 . (-5)
25 = -25 (False)
Hence (-5, 25) is not a solution.
For option (-3, 15), substitute x = -3 and y = 15 into the equation:
15 = 5 . (-3)
15 = -15 (False)
Hence (-3, 15) is not a solution.
There is no options in the problem that gives the correct equality. Looks like there is a typo.
Example of a solution of the given equation is (2,10), since if we substitute x = 2 and y = 10 into the equation:
10 = 5 . (2)
10 = 10 (True)
Hence (2, 10) is a solution.
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What is the equation of the line that passes
through the points (-7, -10) and (-6, -8)?
How many 5-digit numbers can you form using the digits 8 and 9?
Answer:
As repetition is not allowed,
For first digit selection, we have 8 choices.
for second digit selection 7 choices.
Similarly, 6 choices for 3rd digit, 5 choices for 4th digit and 4 choices for 5th digit.
Hence, total choices 8*7*6*5*4 = 6720
Step-by-step explanation:
25. If mVYX = 276° and m angle UVX = (4x - 5),
find the value of x.
Can someone help me please
Answer:
22.25 or 22
Step-by-step explanation:
360-276+=84
4x-5=84
4x=89
x=22.25 or 22
Answer:
answer is 11. Got this pic from the internet btw.
Step-by-step explanation:
If you were to search this question up, which I’m sure you did, you would find that in the images portion, there’s an image where it shows the same question but with multiple choice answers. Among these choices is 11.
Please help me. I will fail...I will mark you brainiest.
The function [tex]f(x)=15(0.85)^x[/tex]models the height, in feet, of a bouncing ball after x seconds.
What is the initial height of the bouncing ball?
What is the percent rate of change?
What is the height of the bouncing ball after 5 seconds? Express your answers as a decimal rounded to the nearest hundredth.
Answer:
1) 17.6 2) 1760% 3) 12.6
Step-by-step explanation:
give me brainlist
The initial height of the bouncing ball is 15 feet, The percent rate of change is -15% and after 5 s, the height of the ball is 6.66 feet
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the function:
f(x) = 15(0.85)ˣ
a) The initial height of the bouncing ball is 15 feet
b) The percent rate of change = 0.85 - 1 = -0.15 = -15%
c) After 5 s, x = 5:
f(5) = 15(0.85)⁵ = 6.66 feet
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Parvinder wants to save $500 for a trip. Which inequality shows the least amount she must save each month for 6 months to accomplish this?
A 6x 500 B 6x > 500 C 6x => 500 D x => 500 + 6
Answer:
The correct answer is C. 6x = 500.
Step-by-step explanation:
In this expression, the "x" represents how many dollars he needs to save every month. Or in other words, the amount of money he earns a month multiplied by the amount of months should equal 500 in order for Parvinder to be able to go on his trip.
Therefore, the correct answer is C. 6x = 500.
Hope this helps! :D
In the scale used on a blueprint, 1/5 inches represents 3 feet. On the blueprint, what is the length of a room with an actual length of 30 feet?
(You have to convert the fraction to a decimal first)
A. 6 in
B. 2 in
C. 1/2 in
D. 2 1/2 in
9514 1404 393
Answer:
B. 2 in
Step-by-step explanation:
The lengths are proportional, so you have ...
blueprint length / room length = (1/5 in)/(3 ft) = (x in)/(30 ft)
Multiplying by 30 ft gives ...
x in = (1/5 in)(30/3) = 10/5 in = 2 in . . . . . note that units of ft cancel
The blueprint length of the room is 2 inches.
__
Comment on "convert the fraction"
As a general rule, you can work math problems with the numbers in any convenient form: fractions, decimals, scientific notation, percentages. Your calculator or your mental arithmetic methods may prefer one form over another, but conversion isn't always necessary.
In a triangle, one side length is 4 feet and another side length is 7 feet. Which answers are possible lengths for the third side?
Answer:
3
Step-by-step explanation:
You might just think that I subtracted but on the triangle the last side is the base which is always smaller.
Answer: The answers are 4, 8, 10
To solve, you must use the Triangle Inequality Rule -
Subtract 7-4=3; therefore, the 3rd side must be greater than 3
Add 7+4=11; therefore, the 3rd side must also be less than 11
Any number greater than 3 or less than 11 would be correct.
Step-by-step explanation:
“Pueblo” is the Spanish word for ___________ a. town. c. flock of sheep. b. stone ruins. d. oven to bake bread. Please select the best answer from the choices provided A B C D
The answer is A: Town
the midpoint of AB is M (4,0). if the coordinates of A are (3, 1), what are the coordinates of B?
The coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).
Let the coordinates of point B are (x, y).
According to the give question.
The midpoint of AB is M(4, 0).
The coordinates of A are (3, 1).
Therefore, the coordinates of points B are given by
(4, 0) = ( (3 + x)/2, (1 + y)/2)
⇒ (3 + x)/2 = 4, and (1 + y)/2 = 0
⇒ 3 + x = 8 and 1 + y = 0
⇒ x = 8 - 3 and y = -1
⇒ x = 5 and y = -1
Hence, the coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).
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Simplify the expression to a + bi form:
(-10 – 4i) – (6 + 9i)
Answer:
What can you say about a straight line with an undefined gradient. ... Rearrange it into the form y=mx+c then read off the gradient. ... What does it mean if 3 points are said to be collinear? For the recurrence relation Un+1=aUn+b what is the condition for a limit to If f(g(x))=x what can we say about the functions f and g
Step-by-step explanation:
What do Kelsey and Cody have to do (like most consumers) to meet the terms of this promotion?
Answer:
What.
Step-by-step explanation:
WHAT.!?
Please help! need this As soon as possible!
Answer:
question 1 answer:
nth term is =7n+6
9th term means n=9
So the 9th term is =7*9+6=63+6= 69.
question 2 answer: 2−4+3
mark me the brainliest please
:)
Write the equation of the line in slope-intercept form, y=mx+b.
(4, -4) m= 1/2
Answer: y=0.5x+6
Step-by-step explanation:
each time x moves 1 the point moves 0.5 vertically so
4, -4
3, -4.5
2, -5
1, -5.5
0, 6
Answer:
y=0.5x+6
Step-by-step explanation:
What is the range of the function f(x) = -2x + 5 when the domain is {-5, 5}.
Answer:
{-5,15}
Step-by-step explanation:
because this function is constantly decreasing, we can get our range by looking at the endpoints:
f(-5) = 15
f(5) = -5
What is 2x + 9 times 7x if x equals -75
.
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I am bo*red someone talk to me
Answer:
-4875
Step-by-step explanation:
and hello
A right triangle is graphed on a coordinate plane. Find the length of the hypotenuse. Round your answer to the nearest tenth.
Answer:
7.6
Step-by-step explanation:
From the graph, we know the lengths of two legs.
a = 3
b = 7
Knowing this, we can use the Pythagorean Theorem to solve for c, the hypotenuse. (remember, a^2 + b^2 = c^2)
c = √a2 + √b2
= √(7)2 + √(3)2
= √49 + √9
= √58
= 7.6
Answer:7.6
Step-by-step explanation: