Answer:
Step-by-step explanation:
This is a difference of squares.
√x^2 - √49 is the basic formula for factoring a difference of squares. The idea is that the middle term has been cancelled out.
√x^2 = x
√49 = 7
(x - 7)(x + 7) is the way this factors.
(x - 7)(x + 7)
===========
(x + 7)
The (x +7) in the numerator cancels with the (x + 7) in the denominator.
The answer is (x - 7)
====================================================
She might have wanted you to do it like this.
(x + 7) || x^2 + 0x - 49 || x - 7
x^2 + 7x ........... Subtract
==========
-7x - 49
-7x - 49 ...... Subtract.
=============
0
Or she might have seen you do this
x^2 - 49 x^2 49
======= = === - =====
x + 7 x 7
Every math teacher freaks when they see this. I hope I didn't put ideas in your head.
But if you got the answer by doing what I did, you got it right.
A company ships its drink mix in a box in the shape of a rectangular prism. The base of the
prism is a rectangle with a length of 4 meters and a width of 1.5 meters. The height of the
container is 2.5 meters. What is the volume of the box in cubic meters?
Answer:
6 cubic meters
Step-by-step explanation:
Did I do something wrong? I multiplied by 1.02 six times and got a realllllly ugly decimal.
Rebecca runs a quarter-mile each week. In each of the last 6 weeks her time has improved (decreased) by 2%, and she can now run a quarter-mile in 66 seconds. What was her time six weeks ago?
Answer:
75 seconds
Step-by-step explanation:
Here, we want to get her time 6 weeks ago.
We shall have an exponential model to link this all up
The exponential model would look like;
y = I(1 - r)^n
where y is the present time
I is the initial time she started with which we are calculating
r is the rate of change which is 2% = 2/100 = 0.02
n is the week number which is 6 in this case
So we have;
66 = I(1 - 0.02)^6
66 = I(0.98)^6
I = 66/0.8858
I = 74.5 seconds
This is approximately 75 seconds
Her time 6 weeks ago is 75 seconds
1
1
Consider the polynomial function:
p(x) = 3x3 + 10x2 + ax - 6
where a is an unknown real number.
If
(x + 3)
is a factor of this polynomial what is the value of a? Show all the steps below.
Step-by-step explanation:
By Factor Theorem, p(-3) = 0.
Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.
Please help It due today MATH!!1
Answer:
Solid line y is less than or equal to -1+4
Dashed line y is greater than or equal to 1/3
Step-by-step explanation:
PLZ MARK BRAINLIEST
Answer:
h bjwkjdfrekojfhrkeifcuhenjdc
Step-by-step explanation:
3.2 geometry worksheet
Answer/Step-by-step explanation:
9. 17x = 16x + 5 (alternate exterior angle)
17x - 16x = 5
x = 5
Measure of bolded angle = 17x = 17 * 5 = 85
10. 21x - 6 = 20x (corresponding angels)
21x - 20x = 6
x = 6
Measure of bolded angle = 20x = 20(6) = 120
11. (x + 95) + (x + 105) = 180 (linear pair angles)
2x + 200 = 180
2x = 180 - 200
2x = -20
Divide both sides by 2
x = -10
Measure of bolded angle = x + 105 = -17 + 105 = 88°
12. 12x - 4 = 11x + 3 (vertical angles)
Collect like terms
12x - 11x = 4 + 3
x = 7
Measure of bolded angle = 11x + 3 = 77 + 3 = 80°
help please i will give brainliest!!
Answer:
answer D looks good :)
Step-by-step explanation:
Can anybody help with this?
Answer:
12
Step-by-step explanation:
Because < this means less than. So therefore 5 is less than 12
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?
Answer:
Number of 7 inch plate = 8
Number of 12 inch plate = 7
Step-by-step explanation:
There are 15 plates in a kitchen cabinet. The diameter of each plate is either 7in or 12in. The diameter of all 15 plates combined is 140in. Which system of equations can be used to find the number of 7in plates, x , and the number of 12in plates, y , that are in the cabinet?
Given that :
Total Number of plates = 15
Diameter of each plate : 7 in or 12 in
Diameter of all 15 plates = 140 in
Let number of 7 in and 12 in diameter plates = x and y respectively ;
x + y = 15 - - (1)
7x + 12y = 140 - - - (2)
x = 15 - y
Substitute x = 15 - y in (2)
7(15 - y) + 12y = 140
105 - 7y + 12y = 140
105 + 5y = 140
5y = 140 - 105
5y = 35
y = 7
From x = 15 - y
x = 15 - 7
x = 8
Number of 7 inch plate = 8
Number of 12 inch plate = 7
please please help me
On Monday, the low temperature outside was 32 degrees above zero. On Christmas, it was 5 degrees below zero. What is the difference in the two temperatures?
Answer:
Difference in temperatures = 37 degree
Step-by-step explanation:
Given:
Temperature above zero = 32 degree
Temperature below zero = -5 degree
Find:
Difference in temperatures
Computation:
Difference in temperatures = Temperature above zero - Temperature below zero
Difference in temperatures = 32 - (-5)
Difference in temperatures = 37 degree
What is m∠P?
(NEED URGERENT HELP!!)
Step-by-step explanation:
Sum of angles in this pentagon = 540°.
Therefore 13x + 241 = 540, x = 23
Hence Angle P = 4(23) + 2 = 94°.
The measure of angle P is 94°
What is pentagon?"It is a polygon with five vertices and five sides."
For given example,
We know, the sum of all interior angles of a pentagon is 540°
⇒ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ (4x + 2)° + (132)° + (4x - 10)° + (5x - 11)° + 128° = 540°
⇒ 4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
⇒ 13x + 241 = 540
⇒ 13x = 299
⇒ x = 23
So, the measure of angle P would be,
4x + 2
= 4 (23) + 2
= 94°
Therefore, the measure of angle P is 94°
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Joaquin lives 0.4 mile from Keith. Layla lives 0.3 as far from Keith as Joaquin.
How far does Layla live from Keith? Enter an equation to solve.
from Keith as Joaquin.
solve.
Samantha purchased dinner at a restaurant and spent $38 on food and beverages. Her sales tax was 7%. How much will Samantha pay for sales tax in dollars and cents?
Given:
Samantha purchased dinner at a restaurant and spent $38 on food and beverages.
Rate of sales tax = 7%
To find:
How much will Samantha pay for sales tax in dollars and cents?
Solution:
Amount spent on food and beverages = $38
Rate of sales tax = 7%
Sales tax = 7% of $38
[tex]\text{Sales tax}=\dfrac{7}{100}\times 38[/tex]
[tex]\text{Sales tax}=\dfrac{266}{100}[/tex]
[tex]\text{Sales tax}=2.66[/tex]
Therefore, the sales tax is $2.66.
Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14
Answer:
x=1
Step-by-step explanation:
-3x=-3
An infant playpen is in the shape of a circle. If the playpen has a diameter of 2 meters, what is the approximate area of the playpen?
Answer:
π meters
Step-by-step explanation:
The diameter is 2 meters. Then the radius is 1 meter. So:
A=πr²
=π(1)²
=π meters ...............
Answer:
3.14
Step-by-step explanation
the formula of a circle is A=πrxr
2 divided by 2 is 1
1 x 1 = 1
3.14 x 1 = 3.14
thats is!
Which descriptions from the list below accurately describe the relationship between AQRS and ATUV? Check all that apply. 284 -28 12 12 76" 176 176 1764 6 V Q A. Same sides B. Same size C. Similar D. Congruent
Answer:
All A to D
Step-by-step explanation:
The attachment completes the question
From the attachment,
it can be seen that QRS and TUV are of the same i.e. trianglesAlso, from the attachment, the sides of each are:
[tex]RQ = UT = 22[/tex]
[tex]QS = TV = 30[/tex]
[tex]RS = UV = 23[/tex]
And the angles are:
[tex]\angle Q = \angle T = 50[/tex]
[tex]\angle R = \angle U = 83[/tex]
[tex]\angle S = \angle V = 47[/tex]
The above show that QRS and TUV are:
similarsame sidesand they are congruentduring the 20 year study, a law was passed that banned the use of pesticides known to be harmful to the fruit bat. predict the year the law was passed
Find the value of x in the parallelogram.
Step-by-step explanation:
here is ur answer pls check it
um can somone help me please
Answer:
8 is 1
Step-by-step explanation: Multiply
Find an
equation for the perpendicular bisector of the line segment
whose endpoints (7,9) and (-1,3).
are
Step-by-step explanation:
A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.
any more help just ask :)
Find the GCF of 74 and 154.
Answer: 2
Step-by-step explanation:
2
74: 2 37
154: 2711
GCF:2
please answer I will give 20 and brainiest
Answer:
#1
Step-by-step explanation:
-7- Go back 7 numbers from 0
6- Go foward 6 numbers from -7
-4- Go down 4 numbers from -1
-7+6=-1
Go four down from -1
(-1,-4)
Hope this helped :)
Solve 20/420 and remember to add the partial quotients to find the actual quotient.
Answer:
0.0476
Step-by-step explanation:
To solve 20/420,
We first reduce the numerator and denominator to its lowest terms(we are not using long division method) :
In the fraction 20/420, we cancel out the zeros =2/42
In the fraction 2/42, 2 will divide numerator and denominator so =1/21
To find the actual quotient, we are sure to get a result of decimal number since numerator is already smaller than denominator,
Therefore 1/21= 0.0476 to 4 decimal places
Note : we add zero to the numerator till it can be divided by 21(even with a remainder) hence the "0.0" before 4
Evaluate the following equation, when x=20:
x/5 + x – 10
In ΔBCD, \text{m}\angle B = (4x-14)^{\circ}m∠B=(4x−14) ∘ , \text{m}\angle C = (x-1)^{\circ}m∠C=(x−1) ∘ , and \text{m}\angle D = (6x+8)^{\circ}m∠D=(6x+8) ∘ . What is the value of x?X?
Answer:
x = 17Step-by-step explanation:
The sum of angle in the triangle BCD is 180 degrees
Given;
<B = 4x -14
<C = x - 1
<D = 6x + 8
Required
Find x
Since <B + <C + <D = 180, hence;
4x - 14 + x - 1 + 6x + 8 = 180
11x -7 = 180
11x = 180+7
11x = 187
x = 187/11
x = 17
Hence the value of x is 17
25 points
What type of graph is best to use to compare two sets of data over time?
Answer:
Bar Graph
Step-by-step explanation:
Bar graphs are used to compare things between groups or tracks. They are the most efficient because the set data is set to change at any time
Please help,
In a bowl of fruit, there are green grapes and black grapes in the ratio of 3:5. If there are 27 green grapes, how many black grapes are there.
Answer:
45
Step-by-step explanation:
27 DIVIDED BY 3 IS 9
SO 9 MULTIPLIED BY 5 IS 45
SO THE ANSWER IS 45
Huilan's age is three times Thomas's age. The sum of their ages is 64. What is Thomas's age?
Answer:
16
Step-by-step explanation:
Answer: 16 years old
Step-by-step explanation:
The two-way table below displays information about passengers on a commercial flight.
Passenger Data
First Class
Coach
Checked Bags
10
81
Did Not Check Bags
14
57
What percentage of coach passengers did not check bags? Round to the nearest tenth.
35.2%
41.3%
70.4%
80.3%
The percentage of coach passengers who did not check their bags will be 43.82 %.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that the total number of passengers is, 162 of which 71 bags didn't check while 91 bags got checked.
We have to find the percentage of coach passengers who did not check their bags.
It is found by dividing the total number of passenger bags not checked by the total number of passengers.
=71 / 162 × 100
=43.82 %
Thus, the percentage of coach passengers who did not check their bags will be 43.82 %.
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
(2,3)
Step-by-step explanation:
it is the point in which they intersect
i am in algebra two so you can trust my answer. if you need more help, lmk in the comments. happy holidays and stay safe!