Answer:
Option 2)
Step-by-step explanation:
In a function, any number can be an x-coordinate only once.
Option 1) The 2 appears twice as x.
Option 2) All x-coordinates are different.
Option 3) The 2 appears twice as an x-coordinate.
Option 4) The 3 appears twice as an x-coordinate.
Answer: Option 2)
graph the line passing through (−4,−1) whose slope is m=-4/5
Answer:
\(y=-\frac{4}{5}x-\frac{21}{5}\)
Step-by-step explanation:
The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):
\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)
To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting m = -4/5, x = -4, and y = -1, we can solve for b:
-1 = (-4/5)(-4) + b
-1 = 3.2 + b
b = -4.2
Therefore, the equation of the line is:
y = (-4/5)x - 4.2
To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:
y = (-4/5)x - 4.2
y = (-4/5)(0) - 4.2
y = -4.2
So the y-intercept is (0,-4.2).
Using this point and the given point (-4,-1), we can draw a straight line passing through both points.
Here is a rough sketch of the graph:
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-----*--------
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The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.
Zoe uses 1 1/4 cups of flour in each batch of cookies. How much flour will she use in 6 batches?
Gabriel is 10 years younger than mikhail. The sum of their ages is 88. What is mikhail's age
Answer:
Mikhail is 49 years old.
Step-by-step explanation:
39+49=88
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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Use the table to answer questions 1 and 2.
X
у
1
103
2
105
3
107
4
109
1. The function represented in the table
is linear. How do you know?
2. What would be the 5th term in the
sequence associated with the table?
OUTSIDE
Answer:
1- The function is linear because 2 is added to each y value to get to the next y value.
2- It would be 111 because 109+2=111
Step-by-step explanation:
Hope this helps:)
A car is discounted 10% and sells for $15,673. What was the discount amount?
Answer:
$1741.44
Step-by-step explanation:
The discounted amount is 100% -10% = 90% of the original. The amount of the discount is 10% of the original, or 1/9 of the discounted amount:
10% = 90% × 1/9
The discount was ...
$15,673/9 = 1,741.44
_____
Check
The original is the sum of the discounted amount and the discount:
original price = $15,673.00 +1,741.44 = $17, 414.44
10% of that value is 1,741.44, as shown above.
Dan enlarged the size of a rectangle to a height of 22.4 in. What is the new width of the rectangle if it was originally 5.6 in tall and 1.4 in wide
Answer:
The new width is 5.6 in
Step-by-step explanation:
Given
New
\(H_2 = 22.4\)
Old
\(H_1 = 5.6\)
\(W_1 = 1.4\)
Required
The new width
This is calculated using the following equivalent ratio
\(H_2 : W_2 = H_1 : W_1\)
\(22.4 : W_2 = 5.6 : 1.4\)
Express as fraction
\(W_2/22.4 = 1.4/5.6\)
Multiply both sides by 22.4
\(W_2= 1.4/5.6 * 22.4\)
\(W_2= 5.6\)
what is the length of the line segment CD with endpoints (-3,2) and (2,2) as shown on the coordinate plane?
A 2 units
B 3 units
C 4 units
D 5 units
Answer:
Solution given:
(x1,y1)=(-3,2)
(x2,y2)=(2,2)
length[d]=?
we have
d=\( \sqrt{(x2-x1)²+(y2-y1)²} \)
=\( \sqrt{(2+3)²+(2-2)²} \)
=\( \sqrt{5²} \)
=5units
D 5 units is a right answer.
ILl give brainliest
Answer:
vdsjBHCkbdsubvidbsvksdv
Step-by-step explanation:
1+1+!+!+!+!!+!+!+=1+!+!+!
Answer:
46.5 m sqaured
Step-by-step explanation:
Find the 36th term.
5, 8, 11, 14, 17, ...
36th term = [?
Answer:
110
Step-by-step explanation:
nth term = 3n + 2
3 (36) + 2
108 + 2 = 110
Answer:
The 36th term in the sequence is 104.
Here's how to find it:
- Start with the first number in the sequence: 5.
- Add the common difference, which is 3, to get the second number in the sequence: 8.
- Add the common difference to the second number to get the third number: 11.
- Continue adding the common difference to each subsequent number to find the next term in the sequence.
- The 36th term is three less than 37 times the common difference added to the first term.
- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.
- Therefore, the 36th term in the sequence is 104.
1.42 + 8.43 =
09.15
9.43
9.85
9.99
Answer:
9.85
Step-by-step explanation:
1.42 + 8.43 = 9.85
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Let's solve ~
\(1.42 + 8.43\)\(9.85\)correct answer - 9.85
can someone please help me
50 points
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
I don’t know this problem
Answer:
5 hearts 4 triangles
Step-by-step explanation:
Just count. 4 hearts on the left, one on the right. One triangle on the left three on the right.
Enter the unknown value that makes this statement true:
20% of _ is 40.
Answer:
50
Step-by-step explanation:
0.8 * x = 40
40/0.8=50
Hi! I need help with two problems having to do with Parametric equations.pre calculus
Let a and b be two-dimensional vectors. Notice that a and b can also be regarded as points in a 2D coordinate plane.
The parametric equation of a line segment that goes from a to b using a parameter t that ranges from 0 to 1 is:
\(r(t)=a+t(b-a)\)And each component would be given by:
\(\begin{gathered} x(t)=x_a+t(x_b-x_a)\quad,\quad0\leq t\leq1 \\ y\left(t\right)=y_a+t\lparen y_b-y_a)\quad,\quad0\leq t\leq1 \end{gathered}\)We can use an alternative parameter that moves from 0 to k replacing t for t/k:
\(\begin{gathered} x\left(t\right)=x_a+\frac{t}{k}\left(x_b-x_a\right)\quad,\quad0\leq t\leq k \\ \\ y\left(t\right)=y_a+\frac{t}{k}\left(y_b-y_a\right)\quad,\quad0\leq t\leq k \end{gathered}\)Use these expressions to find parametric equations for a line segment that connects the given points.
3) Init: (-5,8), term: (3,7)
For 0≤t≤4:
\(\begin{gathered} x(t)=-5+\frac{t}{4}(3--5)=-5+\frac{t}{4}(3+5)=-5+\frac{t}{4}(8)=2t-5 \\ y(t)=8+\frac{t}{4}(7-8)=8+\frac{t}{4}(-1)=-\frac{t}{4}+8 \\ \\ \therefore \\ x\left(t\right)=2t-5 \\ y(t)=-\frac{t}{4}+8 \end{gathered}\)For 0≤t≤12:
\(\begin{gathered} x(t)=-5+\frac{t}{12}(3--5)=-5+\frac{t}{12}(3+5)=-5+\frac{t}{12}(8)=\frac{2}{3}t-5 \\ y(t)=8+\frac{t}{12}(7-8)=8+\frac{t}{12}(-1)=-\frac{t}{12}+8 \\ \\ \therefore \\ x\left(t\right)=\frac{2}{3}t-5 \\ y(t)=-\frac{t}{12}+8 \end{gathered}\)4) Init: (3,7), term: (-5,8)
For 0≤t≤4:
\(\begin{gathered} x(t)=3+\frac{t}{4}(-5-3)=3+\frac{t}{4}(-8)=-2t+3 \\ y(t)=7+\frac{t}{4}(8-7)=7+\frac{t}{4}(1)=\frac{t}{4}+7 \\ \\ \therefore \\ x\left(t\right)=-2t+3 \\ y(t)=\frac{t}{4}+7 \end{gathered}\)For 0≤t≤12:
\(\begin{gathered} x(t)=3+\frac{t}{12}(-5-3)=3+\frac{t}{12}(-8)=-\frac{2}{3}t+3 \\ y(t)=7+\frac{t}{12}(8-7)=7+\frac{t}{12}(1)=\frac{t}{12}+7 \\ \\ \therefore \\ x\left(t\right)=-\frac{2}{3}t+3 \\ y(t)=\frac{t}{12}+7 \end{gathered}\)What is 2* 5 equal to?
Answer:
32
.......................................
. Twice a number decreased by eight. if the number N, the expression is
Answer:
2n-8
Step-by-step explanation:
twice n is 2n. decreased by 8 is the -8
8,24,72,216 what is the next term
Answer:
648
Step-by-step explanation:
216x3
Wwwwwwwwwwwwwwwwwwwww
Answer: 648
Step-by-step explanation:
HOPE THIS IS RIGHT
$26,876 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $720.78, how much is invested at each rate? (Round to two decimal places if necessary.)
9514 1404 393
Answer:
$14,747 at 9%$12,129 at 5%Step-by-step explanation:
Let x represent the amount invested at 9%. Then the difference in interest amounts is ...
(9%)x -(5%)(26876 -x) = 720.78 . . . . . assuming a 1-year investment
0.14x -1343.80 = 720.78 . . . . . . . . . simplify
0.14x = 2064.58 . . . . . . . . . . . . . . add 1343.80
x = 14,747 . . . . . . . . . . . . . . . . divide by 0.14
$14,747 is invested at 9%; $12,129 is invested at 5%.
Please help me need help ASAP thanks
Answer:
Company B would be a better choice.
Company B is cheaper.
Step-by-step explanation:
Let x be the rate per square foot
✔️Company A charges: $215 + $0.50x
If they are installing 400 ft² of carpet, they would be charged the following by company A,
Substitute x = 400 into the equation.
We have:
$215 + $0.50(400) = $415
They would pay $415 if they use Company A's services
✔️Company B charges: $100 + $0.75x
If they are installing 400 ft² of carpet, they would be charged the following by company B,
Substitute x = 400 into the equation.
We have:
$100 + $0.75(400) = $400
They would pay $400 if they use Company B's services .
✅Company B would be a better choice because the total charges they would pay to install 400 ft² carpet is cheaper than they would pay for Company A.
find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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I need help answering. Thanks.
Answer:
28
Step-by-step explanation:
C or B's so 30% + 40% = 70% so:
70/100 multiplied by 40 because 40 students
7/10 times 40 = 28
Factor the trinomial: 2x^2+7x+3
Answer:
(x+3)(2x+1)
Step-by-step explanation:
2x^2 + 7x + 3
1st step) Multiply the 2 from 2x^2 with the 3
2nd step) Then when you get x^2 + 7x + 6, find the factors of 6 that add up to the 7 from 7x.
3rd step) The factors that add up to the 7 from 7x are 6 and 1. - these factors can be represented as (x+6)(x+1).
4th step) After this, since you multiplied the 2 from 2x^2 with the 3(shown in the first step), you must divide each each factor by the 2 from 2x^2.
5th step) Finally, you should get (x+3)(2x+1). - when dividing 1 and 2, the denominator(2) should be next to/multiply with x, and when dividing the numerator(6) and the 2 from 2x^2 together, you should get x+3 since 6 divided by 2 is 3.
For function F(x)=-4x+8, evaluate and simplify the different quotient
Thus, the simplification of the given function using difference quotient formula is found as 4.
Explain about the difference quotient formula:The difference quotient is the product of the difference between the function values, f(x + h) - f(x), and indeed the difference between the input values, (x + h) - x, given a function f(x) and two input values, x as well as x + h (where h is indeed the distance between x and x + h).
For the given question:
function F(x) = -4x+8
difference quotient formula:
[f(x + h) -f(x)] / h
Put x = x + h
F(x+ h) = -4(x + h) + 8
F(x+h) = -4x -4h + 8
F(x) = -4x+8
Now,
[f(x + h) -f(x) ]/ h = [-4(x + h) + 8 + 4x - 8]/ h
On simplifying:
[f(x + h) -f(x) ]/ h = 4h/h = 4
Thus, the simplification of the given function using difference quotient formula is found as 4.
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M=q+3p solve for q.
Answer:
q = M - 3p
Step-by-step explanation:
M = q+3p
to isolate q on one side, we need to remove 3p with subtraction, since it is the opposite of addition.
M-3p = q
Answer:
q=m-3p
Step-by-step explanation:
m=q+3p
-3p. -3p
-3p+m=q
For the given corporate bond, whose annual simple interest rate is provided, find the
semiannual simple interest payment and the total interest earned over the life of the bond. As soon 365 days in a year.
$5200 company A, 30 year bond, 6.273%
Answer:
reagain and none that I know about the other day and none that I know that you are
-
Which equation has the same solution as x2 - 6x - 12 = 0?
A (x + 3)2 = 21
B (x - 3)2 = 21
(x + 3)2 = 3
Dx-3) = 3
Answer:
\((x-3)^2 =21\)
Step-by-step explanation:
\(~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot 3 +3^2=21\\\\\implies (x-3)^2 =21\)
WILL GIVE BRANLIEST!
Please give explanation if possible!
15
What time is it 2 hours and 35 minutes after 2:45 p.m.?
OA. 5:20 p.m.
OB. 4:20 p.m.
C. 5:47 p.m.
D. 4:47 p.m.
Reset
Submit
Answer:
The answer is 5:20 p.m
Step-by-step explanation:
2:45 to 3:45 is 1 hour. 3:45 to 4:45 is 2 hours and add 35 minutes is 5:20 p.m
I need help converting 19/4 into a decimal.
Answer:
4.75!
Step-by-step explanation: