Answer:
(x + 2) (x - 2)
Step-by-step explanation:
Given the quadratic expression, x² - 4:
Use the Difference of squares factoring formula:
u² - v² = (u + v)(u - v)
Determine what are possible factors that could have a product of -4:
Since -2 × 2 = -4, these can be used as factors.
Therefore, the factors of the quadratic expression, x² - 4 are:
(x + 2) (x - 2)
Someone help me please
Step-by-step explanation:
Q6
answer A, as x² is the regular parabolic curve up. and x²-3 just shifts this curve down by 3 units. and that is what we need, as the extreme point of the curve is a bit below the x-axis, and therefore has a negative y value.
Q7
answer C, as this curve is the complete opposite of the curve in Q6.
it is the regular parabolic curve but down. that means -x².
but the extreme point is a bit above the x-axis (and has therefore a positive y value). -x²+3 shifts the parabolic curve up by 3 units.
Q8
answer A again. the functional values are only positive (the whole curve is above the x-axis). so, C and D are therefore wrong.
and between A and B we need to remember, that a negative exponent means 1/...
in case of B 1/(2^x).
and that would mean for large positive x we would get very small values for y.
but we see the opposite. for large x we also get large y.
so, it is 2^x (answer A).
on a sunny day liam decided to walk to his grandmother's house. After walking for a while at a rate of 3 mph, Liam realized that it might start raining, so he decided to take a taxi the rest of the way. The taxi traveled at a speed of 30mph. If he arrived 2 hours before he started, what distance did liam traveled by taxi?
The answer is ten. The formula for calculating speed is as follows:
Speed = distance × time. Knowing the distance and time units is required to calculate the speed units.
Explain about the speed?A bicycle that travels 30 meters in two seconds, for example, is moving at a rate of 15 meters per second. The speed of an object in motion varies frequently (for example, a car may travel down a street at 50 km/h, then slow to 0 km/h, and then accelerate to 30 km/h).
The rate at which a distance changes over time is referred to as speed. It has a dimension of time and distance. As a result, the SI unit of speed is formed by combining the fundamental unit of time and the fundamental unit of distance. As a result, the SI unit of speed is the meter per second (m/s).
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5.5.WW3
Question Help
Find the quotient
30)593
Select the correct choice below and fill in the answer box(es) within your choice.
OA. The quotient is
OB. The quotient is
R
4+6i=5i-3 can someone please help me solve this equation
Answer:
42- 2i
Step-by-step explanation:
evaluate 5/11 -9/11 answer
Answer:
Exact Form:
−4/11
Decimal Form:
−
0.36
Step-by-step explanation:
Subtract 5/11 from 9/11 to get your answer.
Simplify the expression.
-kiniwih426
Standard electrical voltage in Europe is 220 volts.
a. Find the impedance in a standard European circuit if the current is 22 - 11i amps.
b. Find the current in a standard European circuit if the impedance is 10 - 5i ohms.
c. Find the impedance in a standard European circuit if the current is 20i amps.
Applying the general Ohm's Law, it is found that:
a) The impedance is of 8 + 4i ohms.
b) The current is of 17.6 + 8.8i amperes.
c) The impedance is of -11i ohms.
Ohm's Law states that voltage is current multiplied by impedance, that is:
[tex]V = IZ[/tex]
Standard voltage of 220 volts, thus [tex]V = 220[/tex].
Item a:
Current is 22 - 11i amps, thus [tex]I = 22 - 11i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = (22 - 11i)Z[/tex]
[tex]Z = \frac{220}{22 - 11i} \times \frac{22 + 11i}{22 + 11i}[/tex]
Considering [tex]i^2 = -1[/tex]
[tex]Z = \frac{220(22 + 11i)}{605}[/tex]
[tex]Z = 0.3636(22 + 11i)[/tex]
[tex]Z = 8 + 4i[/tex]
The impedance is of 8 + 4i ohms.
Item b:
Impedance is 10 - 5i ohms, thus [tex]Z = 10 - 5i[/tex]. Then
[tex]V = IZ[/tex]
[tex]220 = (10 - 5i)I[/tex]
[tex]I = \frac{220}{10 - 5i} \times \frac{10 + 5i}{10 + 5i}[/tex]
[tex]I = \frac{220(10 + 5i)}{125}[/tex]
[tex]I = 1.76(10 + 5i)[/tex]
[tex]I = 17.6 + 8.8i[/tex]
The current is of 17.6 + 8.8i amperes.
Item c:
Current is 20i amps, thus [tex]I = 20i[/tex]. Then:
[tex]V = IZ[/tex]
[tex]220 = 20iZ[/tex]
[tex]Z = \frac{220}{20i} \times \frac{20i}{20i}[/tex]
[tex]Z = -\frac{220 \times 20i}{400}[/tex]
[tex]Z = -11i[/tex]
The impedance is of -11i ohms.
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Please help me please help please help me :)
9514 1404 393
Answer:
yes
Step-by-step explanation:
When the variation is direct, the ratio of y to x is a constant (the constant of proportionality).
19/5 = 22.8/6 = 26.6/7 = 30.4/8 = 3.8
The table is another representation of the proportional relation ...
y = 3.8x
Yes, the variation is direct.
In triangles ABC and AWXY, ZA= Wand ZB= ZX.
Which of the following must to be true to prove AABC= AWXY by the AAS
theorem?
A. ZCZY
B. BC XY
O
C. AB BC
D. ABW
Answer:
c
Step-by-step explanation:
The solution is, C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
here, we have,
We are given,
Triangles ABC and WXY having ∠A=∠W and ∠B=∠X
Now, it is give that the triangles hold AAS theorem.
Since, we already have two corresponding angles equal i.e. ∠A=∠W and ∠B=∠X.
So, by AAS Theorem, the corresponding sides between these angles must be equal.
Thus, we have, AB = WX.
Hence, option C is correct. C. AB = WX, must to be true to prove AABC= AWXY by the AAS theorem.
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Khan academy What is the slope of the line?
Answer:
Slope: 3/4
Step-by-step explanation:
If you want the equation for the line:
y = (3/4)x - 1
However, this is how you find the slope:
You want to find any two point on the graph, however, it's easier if it touches exactly where two number meet. For example I chose:
(0,-1) and (2,4)
Now just find the change in y, and divide it by the change in x
change in y = 3
change in x = 4
So your slope is 3/4
Answer:
3/4
Step-by-step explanation:
how to graph x+y=1 & is it linear
Answer:
Step-by-step explanation:
Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.
which of the ratio equivalent to 1:3 select all that apply
Answer:
4:12
6:18
8:24
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number.
Evaluate for b
50 = -1/3b + 20
Answer:
50=−13⋅+20
Step-by-step explanation:
A train travels at a constant rate of 45 miles per hour
What is the distance, d, in miles ,that the train traves in t hours?
Answer:
d=45t
Step-by-step explanation:
Plug 1 in for t
d=45(1)
d=45
so after one hour, the train travels 45 miles
HELPPP PLSSS 50 POINTS IDC
Answer:
1.x=0 or x=3
2.x=5
3.x=0 or 10/3
4.x=0 or 5/3
What’s the domain and range of f(x) = 72 - 1/6x?
Answer:
Step-by-step explanation:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. A rational function is a function of the form f(x)=p(x)q(x) , where p(x) and q(x) are polynomials and q(x)≠0 .
please help me, what is this
Answer:
Proof:
In ΔCDB
∵ The sum of all angles of triangle = 180°
∴ m∠B + m∠C + m∠D = 180°
R3. Their sum = 180 (They form straight angle)
S4. ∠B + ∠A = 180°
R5. Triangle angle sum theorem (Sum of all angles of triangle = 180°)
4×8 is it positive or negative
Answer:
4 × 8 = 32 so it is positive
Step-by-step explanation:
Answer:
Hi, 4x8 is positive.
Step-by-step explanation:
4x8=?
4+4+4+4+4+4+4+4=?
4x8=32
Since both numbers are positive, the answer will also be positive.
Hope this helps!!
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form.
Can someone let me know how to work these out. I don’t want the answer i want the method please!!
Answer:
45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y
47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16
49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y
Answer:
Step-by-step explanation:
factorization, is that how u call it? S: Im not good at english
49 = 7x7, right?
and
7 = 7 x 1
then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)
7*7x = 49x
7*1y = 7y
--------------------------------------------------------
1*7 -----> 7(7x + 1y)
-------------
7
Simplify 7/7 = 1
answer = 7x +y
How many terms are in the algebraic expression 2x2 - 3y +5?
show work
Answer:
3 terms
Step-by-step explanation:
2x² - 3y + 5
= 2x² / - 3y / + 5
The 3 terms are 2x² , - 3y and + 5
Solve the math problem
Answer: Slopes
Step-by-step explanation:
1. slope is [tex]\frac{4}{3}[/tex]
2. slope is [tex]\frac{1}{2}[/tex]
3. Slope is [tex]\frac{4}{2}[/tex] or 2
4. slope is [tex]\frac{3}{2}[/tex]
Fill in the missing information
Answer:
Step-by-step explanation:
1) AB ≅ AD Given
BC ≅ BD
2) Given
3) AC ≅ CA Reflexive property
ΔABC ≅ ΔADC
4) S S S Congruent
5)∠B ≅∠D CPCTC
Question number eight.
Answer:
true
Step-by-step explanation:
a to there powe8 and a to the power1
PLEASE HELP ASAPP!!!!!!!!! <3
Answer:
1) 9
2) 8
3) 5
4) 72
5) 40
6) 3
Step-by-step explanation:
1) 5 times 9 equals 45, then you add 5 to get 50.
2) -2 times 8 equals -16, minus 3 is the same as adding a -3 to get -19
3) 7 times 5 equals 35, plus 1 to get 36.
4) 72 divided by 6 equals 12, minus 10 to get 2.
5) 40 minus 14 equals 26, divided by 2 to get 13.
6) 3 times 3 equals 9, minus 5 to get 4 then multiplied by 4 to get 16 as your final answer.
I have to go but here are answers 1-6 I will work on 7-11 later. Sorry! Tell me if you have any questions though!
what is the answer to this
Answer:
G.
Step-by-step explanation:
Multiply 5x(6x−4)
A- 11x^2+x
B- 30x^2 - 4
C - 30x^2 + 20x
D - 30x^2 - 20x
The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.
Select EACH correct statement about the scenario.
[] The function is an arithmetic sequence.
[] The number 2 is the beginning number of tables.
[] The number 2 is the number of tables added when t increases by 1.
[] The number 4 represents the number of people that can be seated at an event if only 1 table is available.
*Multiple Choice*
The correct statements about the scenario are;
The function is an arithmetic sequenceThe number 2 is the number of tables added when t increases by 1.The number 4 represents the number of people that can be seated at an event if only 1 table is available.According to the function given;
p(t)=4+2(t−1)Evidently, the function, p(t) represents the number of people that can sit when t tables are available.
T(n) = a + d(n -1)In essence, the function resembles that of a general arithmetic progression with first term, a = 4.
The common difference, d = 2.
The statements which are correct are therefore as listed above.
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Please Help, im stuck
Answer:
[tex]6^{9} * 6^{-3}[/tex]
Mr. Edwards went to Six Flags and brought $50. He spent $20 on a souvenir and $10 on food. The rest was spent on a refillable drink at $2.50 per refill. How many refills did Mr. Edwards purchase?
Answer:
8 refills
Step-by-step explanation:
Set up an equation. You know that Mr. E spent his entire $50, so you start by making one side 50. Then, you know that the total is the same as the sum of everything purchased, so on the other side, add the souvenir, the food, and the refillable drink term (2.5x, with x being the number of refills, the thing the question is asking for). This gets you an equation of 50 = 20 + 10 + 2.5x. Isolate x by getting the x term by itself. In this case, you subtract 20 and 10 from both sides, leaving you with 20 = 2.5x. Finally, divide both sides by 2.5 to isolate x completely, leaving you with 8 = x, or x = 8. Don't forget your units (:
Answer:
8 refills
And the answer to the comment question is $175 for each iPhone 11
Step-by-step explanation:
Hope this helps :)
Pls mark brainliest :3
And have an amazing day <3
Sally wants to buy a dishwasher.
The dishwasher costs £384
Sally will pay a deposit of £42
She will then pay the rest of the cost in 6 equal monthly payments.
How much is each monthly payment?
Answer:
£56
Step-by-step explanation:
sadly already payed £42 of the price
so 384-42= 342
now she gonna pay the same amount of money every month from what left to be payed
so 342÷6=56
she gonna pay £56 every month for 6months
Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.
Sadly, I've already saved £42 on the purchase.
=384-42
= 342
She will now make equal monthly payments from the remaining balance.
=342/6
=56
Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.
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