Answers
Answer:
[tex]x = -1[/tex]
[tex]y = 3[/tex]
Step-by-step explanation:
Given
The attached table
Required
Fill in the blanks
First, we need to calculate the slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Where:
[tex](x_1,y_1) = (1/2,1)[/tex]
[tex](x_2,y_2) = (3,-9)[/tex]
So, we have:
[tex]m = \frac{-9-1}{3-1/2}[/tex]
[tex]m = \frac{-10}{3-0.5}[/tex]
[tex]m = \frac{-10}{2.5}[/tex]
[tex]m = -4[/tex]
Next, we calculate the equation:
[tex]y - y_2 = m(x - x_2)[/tex]
This gives:
[tex]y - (-9) = -4(x - 3)[/tex]
[tex]y +9 = -4(x - 3)[/tex]
[tex]y +9 = -4x +12[/tex]
Make y the subject:
[tex]y = -4x +12-9[/tex]
[tex]y = -4x +3[/tex]
So,
When y = 7:
We have:
[tex]y = -4x +3[/tex]
[tex]7 = -4x +3[/tex]
Collect Like Terms
[tex]4x = 3 - 7[/tex]
[tex]4x = -4[/tex]
Divide through by 4
[tex]x = -1[/tex]
When x = 0, we have:
[tex]y = -4x +3[/tex]
[tex]y = -4 * 0 + 3[/tex]
[tex]y = 0 + 3[/tex]
[tex]y = 3[/tex]
Related Questions
Find the inequality represented by the graph.
Answers
Answer:
[tex]y<-\frac{4}{3}x+5[/tex]
Step-by-step explanation:
Since, the given line in the graph is a dotted, line will represent an inequality with no sign of equal to (=).
Since, the shaded area is below the dotted line, inequality will have the sign less than (<).
Therefore, equation of the inequality will be in the form of,
y < mx + b
Here, m = slope of the line
b = y-intercept
Slope of the line passing through two points (0, 5) and (3, 1),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{5-1}{0-3}[/tex]
= [tex]-\frac{4}{3}[/tex]
Y-intercept (at x = 0),
b = 5
Therefore, equation of the inequality will be,
[tex]y<-\frac{4}{3}x+5[/tex]
Someone please help I don’t understand sad face
Answers
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)
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Answers is A
Help please!
Sorry for the image quality.
Answers
Answer:
[tex]\displaystyle (-1,\frac{-3}{2})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (1, -4)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex]\displaystyle (\frac{-3+1}{2},\frac{1-4}{2})[/tex][Fractions] Add/Subtract: [tex]\displaystyle (\frac{-2}{2},\frac{-3}{2})[/tex][Fractions] Divide: [tex]\displaystyle (-1,\frac{-3}{2})[/tex]asappp please someone help i’ll give brainliest. i’m trying to find x, and by what form like ASA, etc
Answers
Answer:
x = 40.375Step-by-step explanation:
∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore
ΔABC ~ ΔEFC by AA similarityRatio of corresponding sides is same. Get the equation below and solve for x:
EC/AC = CF/CBx/17 = (16+22)/16x/17 = 38/16x/17 = 19/8x = 17*19/8x = 40.375In the seating for a concert, the first row has 10 chairs. Every row after that has 2 more chairs. 7. What is the explicit formula that models this situation? 8. How many chairs are in row 20?
Answers
9514 1404 393
Answer:
7. c(n) = 10 +2(n -1)
8. c(20) = 48
Step-by-step explanation:
7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...
an = a1 +d(n -1)
If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...
c(n) = 10 + 2(n -1)
__
8. Evaluating the function when n=20, we find ...
c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38
c(20) = 48
There are 48 chairs in row 20.
Need Help with #9 :(
Answers
Answer:
umm
Step-by-step explanation:
A system of equations is shown below. 3x + 2y = 12 y = x + 1 Which ordered pair below represents the solution to this system of equations?
(1.25, 2.25)
(2, 3)
(2.2, 3.2)
(3, 2)
Answers
Answer:
2,3
Step-by-step explanation:
what is the prime factorization of 100
Answers
Answer:22 × 52
Step-by-step explanation:
Answer:
2 x 2 x 5 x 5
Step-by-step explanation:
since 2, 3, and 5 are prime numbers I always begin by seeing if the number to be factored has those as factors
100 is divisible by 2 so you can start there:
2 x 50
50 is divisible by 2 so you now have:
2 x 2 x 25
25 is divisible by 5 so you now have all prime factors whose product is 100
2 x 2 x 5 x 5
2a) Solve using substitution.
y = 2
2x + 2y = 10
Explain how you got the answer please step by step
Answers
2x+ 2y= 10
Now, put in the substitution.
2x+ 2• 2= 10
Combine like terms.
2x+ 4= 10
Now that your equation it simplified, you need to reverse the problem and put everything on the other side.
2x+ 4= 10
- 4 - 4
2x = 6
2x=6
— —
2 2
X= 3
So the final answer is x=3
Help me please with my math homework
Answers
Second question .(C=100-d and c=20+d)
rewrite sin^2 2xcos ^2 2x as an expression in terms of the first power of cosine
Answers
Answer:
Step-by-step explanation:
use the formula { a couple of times} cos 2 Θ = 2 cos ² Θ - 1 = 1 - 2 sin ² Θ....your answer will likely have a cos 2x , a cos 4x , and a cos 6x in it.....note : cos ² Θ - sin ²Φ = cos ( Θ + Φ) cos (Θ - Φ) will also be needed for appropriate choices of Θ & Φ in terms of x
Can you help me with this I will Mark you brainliest!
Answers
Answer:
10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2
Consider the equation 2x+1=16
a. Does the equation have a solution in the set of integers? ____
b. Does the equation have a solution in the set of rational numbers? ____
Answers
Step-by-step explanation:
2x + 1 = 16
2x = 15 (subtract 1 on both sides)
x = 7.5 (divide 2 om both sides)
Since 7.5 is not an integer, (a) is No.
However 7.5 is rational, therefore (b) is Yes.
Answer:
[tex]2x + 1 = 16 \\ 2x = 15 \\ x =\frac{15}{2} \\ \boxed{x = 7.5 }[/tex]
a. Does the equation have a solution in the set of integers? ____
→As 7.5 is not a integer, the right answer is No.
b. Does the equation have a solution in the set of rational numbers? ____
→7.5 is a rational number, the right answer is Yes.
A rectangular magazine cover is photocopied by using a scale factor of One-third. The length of the photocopy of the magazine cover is enlarged by a factor of 3. enlarged by a factor of One-third. reduced by a factor of 3. reduced by a factor of One-third.
Answers
Answer: "reduced by a factor of One-third."
Step-by-step explanation:
Suppose that the original magazine has a length L and a width W.
If it is photocopied using a scale factor of K, then the measures of the photocopy will be:
length = K*L
Width = K*W
In this case, the scale factor is K = 1/3, then the measures of the photocopy will be:
length = (1/3)*L = L/3
Width = (1/3)*W = W/3
For usual notation:
When k > 1, we have an enlargement by a factor k
when 0 < k < 1, we have a reduction by a factor k
in this case, k = 1/3, then:
We have a reduction by a factor of 1/3
The correct option is:
"reduced by a factor of One-third."
Answer: D-reduced by a factor 1/3
Step-by-step explanation:
got it correct on edge 2021
jack and josh shared some sweets in the ratio 4:7 josh got 18 more sweets than jack. how many sweets were there in total
Answers
Answer:24
Step-by-step explanation:
Find x please this is so difficult
Answers
Answer:
x= 19
Step-by-step explanation:
∠ WYZ and ∠ XWY are alternate angles and are congruent, so
∠ XWY = 2x
The sum of the 3 angles in a triangle = 180°
sum the angles in Δ XWY and equate to 180
2x + 3x - 5 + 90 = 180
5x + 85 = 180 ( subtract 85 from both sides )
5x = 95 ( divide both sides by 5 )
x = 19
The scale drawing of a rectangular room has a length of 18 inches and a width of 12 inches. If the scale for the drawing is 1 inch = 2 1/2 feet, what is the perimeter of the actual room?
Answers
Answer
do you need the work or is the answer ok?
Step-by-step explanation:
i have to do the work for it
Frank and his family went on vacation one summer, and drove 3,000 miles in 10 days. If they drove an equal distance every day, how many miles a day did frank and his family drive.
Answers
Answer:
Distance cover by Frank and family each day = 300 miles per day
Step-by-step explanation:
Given:
Total distance cover by Frank and family = 3,000 miles
Number of days = 10
Find:
Distance cover by Frank and family each day
Computation:
Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days
Distance cover by Frank and family each day = 3,000 / 10
Distance cover by Frank and family each day = 300 miles per day
Answer:
C. 300
Step-by-step explanation:
Divide the distance by the time it took to travel that distance: 3,000 miles ÷ 10 days = 300 miles per day.
9x-7=-7
what is x in the equation?
Answers
a) Lorsqu'on ajoute 12 au triple d'un nombre, on obtient 63.
Answers
Answer:
17
Step-by-step explanation:
17x3=51, 51+12=63
Greg has bought 24 pounds if dog food. He feeds his dog ¾ pounds for each meal. For how many meals will the food last? Write your answer in simplest form.
Answers
Answer:
24 divuded by .75 = 32 Meals
Step-by-step explanation:
3/4 of 1 pound is = to .75 pounds per meal
therefore we divide the 24 meals by the amount neaded for each meal.
Equasion becomes 24 ÷ .75 = 32
Hope this helps, if so please mark brainlist
A box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. What is the probability of picking a chocolate chip cookie?
1/9
1/3
2/21
2/3
Answers
The probability of picking a chocolate chip cookie is 1/3.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.
N represents no. of.
So, N(S) = 5 + 4 + 6 = 15.
N(CC) = 5, N(SR) = 4 and N(OR) = 6.
∴ The probability of picking a chocolate chip cookie is = N(CC)/N(S).
= 5/15.
= 1/3.
learn more about probability here :
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1) Complete the sentences to explain how to multiply 4.56 x 1,000.
Y
1) Click the arrows to choose an answer from each menu.
The number 1,000 has Choose... factors of 10. To multiply 4.56 x 1,000, the
decimal point in 4.56 should be moved Choose... places to the right.
4.56 x 1,000 is equal to Choose...
Done
Answers
Answer:
Thats the answer
Step-by-step explanation:
The product of the numerical expressions 4.56 and 1000 will be given as 4560.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The numbers are 4.56 and 1000
Then the product of these two numbers will be
→ 4.56 × 1000
→ 4560
More about the multiplication link is given below.
https://brainly.com/question/19943359
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If f(x)=x-3, which inequality can be used to find the domain of f(x)?
Ovx-3>0
O x-3>0
O vx-3 <0
O x-3<0
Answers
Given that,
[tex]f(x) = \sqrt{x-3}[/tex]
To find,
The domain of f(x).
Solution,
We have, [tex]f(x) = \sqrt{x-3}[/tex]
To find domain,
The term under the square root must be positive or null as follows :
[tex]x-3\ge 0[/tex]
Adding 3 both sides
[tex]x-3+3\ge 0+3\\\\x\ge 3[/tex]
So, the domain is x-3>0 .
stephanie and jenny each improved their yards by planting rose bushes and geraniums. they bought their supplies from the same store. stephanie spent $148 on 13 rose bushes and 1 geranium. jenny spent $169 on 9 rose bushes and 14 geraniums. find the cost of one rose bush and one geranium.
Answers
Answer:
The cost of one rose is $11., and the cost of one geranium is $5.
Step-by-step explanation:
The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.
So that,
13x + y = 148 .............. 1
9x + 14 y = 169 ............... 2
From eqaution 1,
y = 148 - 13x ............... 3
substitute the value of y in equation 2
9x + 14(148 - 13x) = 169
9x + 2072 - 182x = 169
2072 - 169 = 182x - 9x
1903 = 173x
x = [tex]\frac{1903}{173}[/tex]
= 11
x = 11
substitute the value of x in equation 3
y = 148 - 13x
= 148 - 13(11)
= 148 - 143
y = 5
x = 11, y = 5
Thus, the cost of one rose is $11., and the cost of one geranium is $5.
Can you help me solve for x
Answers
2.8.75
Given functions f and g, find (a) (fog)(x) and its domain, and (b) (gof)(x) and its domain.
f(x) = Vx, g(x) = x +7
(a) (fog)(x) = 0
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answers
Answer:
647637=
Step-by-step explanation:
Rodney collects 17 leaves and Sheila collects 23 leaves. How many leaves more leaves does Sheila collect then Rodney?
Answers
Answer: 6 leaves
Step-by-step explanation:
23 - 17 = 6
Hope that helped! :p
The number of leaves more leaves does Sheila collect then Rodney is 6.
What is subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
Given that, Rodney collects 17 leaves and Sheila collects 23 leaves.
Now, 23-17
= 6
Therefore, the number of leaves more leaves does Sheila collect then Rodney is 6.
Learn more about the subtraction here:
brainly.com/question/2346316.
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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
12,9,6,...
Answers
Step-by-step explanation:
The sequence is AP(arithmetic progression) with a common difference of -3
The given sequence is in arithmetic sequence and the common difference is 3.
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 12, 9, 6, ...
Here, The common difference is find as;
⇒ 9 - 12 = - 3
⇒ 6 - 9 = - 3
Which is same.
So, The sequence is an Arithmetic sequence.
Learn more about the Arithmetic sequence visit:
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