Answer:
B. There are two distinct rational solutions
Step-by-step explanation:
x^2 -1 = 24
Add 1 to each side
x^2 -1+1 = 24+1
x^2 = 25
Take the square root of each side
sqrt(x^2) = ±sqrt(25)
x = ±5
Answer:
B.
Step-by-step explanation:
x^2 - 1 = 24
x^2 = 25
Taking the square root of both sides:
x = -5, 5.
2 distinct rational solutions.
john always wears a shirt, pants, socks, and shoes. he owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. how many different outfits can john make? PLEASE ANSWER
Answer:
900 outfits
Step-by-step explanation:
You just have to multiply them all together :)
How do you simplify 3 times the square root 13?
Answer:
3√13
Step-by-step explanation:
3√13
This expression cannot be simplified because you cannot take any common factor outside the root.
if x = 2 and y = 1 what is the expression of 3(y-1)+2x2 ( it’s not actually 2x2 the 2 is small i don’t remember what it’s called)
Answer:
substituting the given values we get,
3(1-1)+2*2
using bodmas we get
3(0)+2*2
0+2*2
0+4
4
therefore the answer is 4,thank you and mark the answer as brainliest if u find my answer helpful
Answer:
he's correct that is the answer!!
Which value is equivalent to
(7•5•2)^2 X ( 5^0 ) X 2-^9?
( 7•3 ) ( 2-^3)
Answer:
[tex]\frac{25}{144}[/tex]
Step-by-step explanation:
[tex](\frac{7 * 5 * 2}{7 * 3} )^2 * (\frac{5^0}{2^-3})^3 * 2^{-9}[/tex]
Simplified becomes;
[tex](\frac{10}{3})^2 * 2^3 * \frac{1}{2^9}[/tex]
Simplifying further gives; [tex]\frac{25}{144}[/tex]
Solve two-step equations. -5/2 a + 5 = 25
Answer:
a = -8
Step-by-step explanation:
-5/2 a + 5 = 25
Subtract 5 from each side
-5/2 a + 5-5 = 25-5
-5/2 a = 20
Multiply each side by -2/5
-2/5 *-5/2 a = 20*-2/5
a = -8
How would I do this??
Part 1
[tex]\left(\frac{g}{h}\right)(x) = \frac{g(x)}{h(x)}\\\\\left(\frac{g}{h}\right)(x) = \frac{3x-5}{-2x^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{3(3)-5}{-2(3)^2+7}\\\\\left(\frac{g}{h}\right)(3) = \frac{4}{-11}\\\\\left(\frac{g}{h}\right)(3) = -\frac{4}{11}\\\\[/tex]
Answer: -4/11
====================================================
Part 2
Set the denominator function equal to zero and solve for x to find which values to kick out of the domain.
[tex]h(x) = 0\\\\-2x^2+7 = 0\\\\7 = 2x^2\\\\2x^2 = 7\\\\x^2 = 7/2\\\\x^2 = 3.5\\\\x = \sqrt{3.5} \ \text{ or } x = -\sqrt{3.5}\\\\[/tex]
This shows that if x is equal to either of those values, then the denominator h(x) will be zero. These are the values to kick out of the domain to prevent a division by zero error. Any other value of x is valid in the domain.
Answer: [tex]x = \sqrt{3.5} \text{ and } x = -\sqrt{3.5}\\\\[/tex]
question : 4(3x + 2) -6 x 6
Answer:
x= 24
Step-by-step explanation:
open the bracket
4×3x =12x + 4 × 2 =8
12×+ 8-6×6
12×+ 12
x= 24
Answer:
12x - 28
Step-by-step explanation:
Because of PEMDAS you start with the parentheses and distribute the 4.
So,
(12x + 8) -6 x 6
Then, solve for the 6's
(12x + 8) -36
Remove the parentheses
12x + 8 - 36
Lastly, you get
12x - 28.
This is as far as you can go because there is no equals sign so you cannot actually solve for x.
Corinna has $80. She wants to buy a $256 plane ticket. She will save up her earnings from working at the museum where she earns $16 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $256?
Answer:
80+16h≥256
Step-by-step explanation:
the 80 represents the $80 that Corinna already has
the 16h represents the amount of money made at the museum, with h being the number of hours worked
the inequality symbol is a greater than or equal sign because Corinna must have at least $256 to get the plane ticket, which means you either have to have the exact amount amount or more than the exact amount needed
What the answer question
Answer:
P = 44Step-by-step explanation:
JK = JO = 4
MN = NO = 6 ⇒ LM = 18 - 6 = 12
KL = LM = 12
NJ = NO + OJ = 6 + 4 = 10
JL = JK + KL = 4 + 12 = 16
LN = 18
P = NJ + JL + LN = 10 + 16 + 18 = 44
The result of adding 14 to twice a number is the same as subtracting 8 from four times that number. Find that number.
Answer:
11
Step-by-step explanation:
Let the number be x
2x + 14 = 4x - 8 Add 8 to both sides
2x + 14 + 8 = 4x Combine
2x + 22 = 4x Subtract 2x
22 = 2x Divide by 2
11 = x
Find the equation of the linear function represented by the table below in slope-intercept form.
Answer:
y = 3x+1
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= (13-4)/(4-1)
= 9/3
= 3
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 3x+b
Using a point from the table
10 = 3(3)+b
10 =9+b
10-9 =b
1=b
y = 3x+1
I will give brainlist
Answer:
54
Step-by-step explanation:
162 divided by 3 is 54
Answer:
54 words per minute
Step-by-step explanation:
in 3 minute Rachel types 162 words
so, in 1 minute Rachel types 162words÷ 3 minutes
= 54 words per minute
Find the endpoint/midpoint.Please hurry
Answer:
im not sure, but i have
Step-by-step explanation:
Answer:
Step-by-step explanation:
the sides of this right triangle are 18 inches and 24 inches in length.
how long would the hypotenuse of this triangle be?
Answer:
30
Step-by-step explanation:
[tex]c^{2} = b^{2} + a^{2} \\[/tex] = formula
a = 24
b = 18
576+324 = 900
do [tex]\sqrt{900} \\[/tex]
= 30
Which expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
Given the figure, what is the angle of rotational system?
Answer it should be 72° as the figure is a 5 fold.
360/5 = 72
Angle of rational symmetry is 72°
Must click thanks and mark brainliest
what's the square footage of 12'3" * 18'4"
Answer:
multiply length time width
A theme park ride carriage with a mass off 1000kg when empty needs to be accelerated at 0.5m/s2 along a horizontal track. What force is required to accelertae the empty ride carriage
Answer:
Required force (F) = 500 N
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²
Find:
Required force (F)
Computation:
Required force (F) = Mass × Acceleration
Required force (F) = 1,000 kg × 0.5 m/s²
Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
Answer:
Answer:
Required force (F) = 500 N
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²
Find:
Required force (F)
Computation:
Required force (F) = Mass × Acceleration
Required force (F) = 1,000 kg × 0.5 m/s²
Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
THANKS
1
3.0
(2 votes)
Step-by-step explanation:
Given:
Mass of carriage (m) = 1,000 kg
Acceleration (a) = 0.5 m/s²Find:Required force (F)Computation:Required force (F) = Mass × AccelerationRequired force (F) = 1,000 kg × 0.5 m/s²Required force (F) = 500 kg-m/s²
Required force (F) = 500 N
Which expression is equivalent to (–2)(a + 6)?
A. –2a + 6
B. 2a + 12
C. –2a – 12
D. –2a + 12
The answer is option c.
Calculate YZ if WY = 25, XY = 23, and VZ = 35
Answer:
WY= 25
XY= 23
VZ=36
so,
WY/XY = YZ/VZ
25/23 = YZ/25 (then do cross multiply)
25×25 = 23 × YZ
625= 23 × YZ
625/23= YZ
27,17= YZ
#i'm indonesian
#hope it helps.
Answer:
[tex]\huge \boxed{13.04}[/tex]
Step-by-step explanation:
The triangles are congruent, we can use ratios to solve.
WY/XY = (WY+YZ)/VZ
Let the length of YZ be x.
25/23 = (25+x)/35
Cross multiply.
23(25+x) = 25 × 35
575 + 23x = 875
Subtract 575 from both sides.
575 + 23x - 575 = 875 - 575
23x = 300
Divide both sides by 23.
(23x)/23 = 300/23
x = 13.0434782609...
I forgot how to do this. I will give brainliest!
Answer:
A = 2, B = 3 and C = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 2 ( subtract 2x from both sides )
3y = - 2x + 2 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
Parallel lines have equal slopes, thus
y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = [tex]\frac{4}{3}[/tex]
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{4}{3}[/tex] ← in slope- intercept form
Multiply through by 3
3y = - 2x + 4 ( add 2x to both sides )
2x + 3y = 4 ← in standard form
with A = 2, B = 3 and C = 4
one third of a number is 6
Answer:
2
Step-by-step explanation:
Plz help me ASAP! I will mark brainliest
Answer:
x=20
<B=150°
Step-by-step explanation:
Opposite Interior Angles
8x-10=3x+90
8x-3x=90+10
5x=100
x=20
<B=3x+90
=3(20)+90
=60+90=150
Answer:
x=20
<B = 150
Step-by-step explanation:
The angles are alternate interior angles and when the lines are parallel, alternate interior angles are equal
8x-10 = 3x+90
Subtract 3x from each side
8x-10 -3x = 3x+90-3x
5x-10 = 90
Add 10 to each side
5x-10 +10 = 90+10
5x = 100
Divide by 5
5x/5 = 100/5
x = 20
<B = 3x+90
= 3*20 +90
= 60+90
= 150
Which type(s) of symmetry does the following object have?
Select all that apply.
Answer: You are correct. There is only one answer and that is choice B) vertical line of symmetry.
We can draw a vertical line through the center to have one half mirror over this line to get the other half. We can't do the same with a horizontal line or any other kind of line.
We do not have rotational symmetry. Rotating the figure will produce an image different from the original. The angle of rotation is some angle x such that 0 < x < 360.
Answer:
Theres more than one answer so b and a
Step-by-step explanation:
Find all solutions to the following equation
Answer:
x = -1
Step-by-step explanation:
-2/ ( x * (x+2)) = ( x+3) / ( x+2)
Using cross products
-2 ( x+2) = ( x+3) x* (x+2)
Divide each side by (x+2) This means x cannot equal -2 because we are dividing by 0
-2 = x ( x+3)
Distribute
-2 = x^2 +3x
Add 2 to each side
0 = x^2 + 3x+2
Factor
0 = ( x+2) (x+1)
Using the zero product property
x+2 = 0 x+1 = 0
x = -2 x = -1
But above we said x cannot equal -2
so x = -1
The solution we said x cannot equal -2so x = -1
Step-by-step explanation:
-2/ ( x * (x+2)) = ( x+3) / ( x+2)
Using cross products
-2 ( x+2) = ( x+3) x* (x+2)
Divide each side by (x+2) This means x cannot equal -2 because we are dividing by 0
-2 = x ( x+3)
Distribute
-2 = x^2 +3x
Add 2 to each side
0 = x^2 + 3x+2
Factor
0 = ( x+2) (x+1)
Using the zero product property
x+2 = 0 x+1 = 0
x = -2 x = -1
To learn more about : solution
https://brainly.com/question/24644930
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Please help me out here real quick!! If do you I'll mark you as BRAINLIEST
Answer:
hope this helps
Step-by-step explanation:
hope this helps
the nth term of the quadratic sequence is 3n² - 10 work out the 5th term of this sequence .
NEED HELP
Answer:
The answer is - 65Step-by-step explanation:
From the question the nth term of the sequence is
3n² - 10
where n is the number of terms
Since we are finding the 5th term
n = 5
Substitute this value into the above formula
That's
3(5)² - 10
= 3( 25) - 10
= 75 - 10
We have the final answer as
- 65Hope this helps you
Someone pls help me . I will mark you brainliest !! thank you sm .
Answer:
first one is 27.89, the second is 20.
Step-by-step explanation:
1. So the 340 dollars is determined by 9.50 multiplied by the amount of hours you show up (which we will call x), plus the 75 dollars.
Your equation will be set up like this : 9.50x +75 = 340
So, to get x, we must isolate it. so subtract 75 from both sides
9.50x +75 -75 = 340 -75 9.50x = 265
Now, since we know that 9.50 multiplied by x equals 265, to isolate and find out x (the hours worked during the pay period), we divide both sides by 9.50
9.50x/9.50 = 265/9.50 so, x = 27.89473684, but based off of the answers there, you would just round to x = 27. 89 hours worked.
2. So now the 120 chips are determined by 6 chips multiplied by the minutes, since 6 chips are eaten every minute, with the minutes represented as x, like this: 6x = 120
So this time, you don't subtract or add anything, you would just divide by 6 to isolate x.
6x/6 = 120/6 so, x = 20 minutes.
SP=2x+3, and LN=5x−14. Find SP. A. 20 B. 86 C. 43 D. 50
Answer:
C
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is half the length of the third side.
SP is a midline segment, thus
SP = [tex]\frac{1}{2}[/tex] LN , that is
2x + 3 = [tex]\frac{1}{2}[/tex] (5x - 14) ← multiply both sides by 2
4x + 6 = 5x - 14 ( subtract 4x from both sides )
6 = x - 14 ( add 14 to both sides )
20 = x
Thus
SP = 2x + 3 = 2(20) + 3 = 40 + 3 = 43 → C
Write the equation for the line that passes through the points (4, 5) and
(6,9). *
Answer:
y = 2x + 1
Step-by-step explanation:
first find slops
(9-5)/(6-4) = 4/2 = 2 = m
y = mx + b
5 = 2(2) + b
1 = b
y = 2x + 1
Answer:
y = 2x - 3
Step-by-step explanation:
gradient of the line is
[tex] \frac{9 - 5}{6 - 4 } = 2[/tex]
equation will be:
[tex] \frac{y - 5}{ x - 4} = 2[/tex]
y - 5 = 2x - 8
y = 2x - 3