Given g(x)=-5x+4, solve for x when g (x)=9
Answer:
x=-1
Step-by-step explanation:
-5x+4=9
-5x=5
divide by -5 on both sides
x=-1
On a coordinate plane, triangle Q R S has points (negative 1, 2), (1, negative 4), (negative 2, negative 2).
What is the area of triangle QRS?
7 square units
9 square units
10 square units
13 square units
Answer:
A-7
Step-by-step explanation:
Count, Add, then sum it up or just take my answer.
The area of the triangle QRS vertices have coordinates as (-1,2), (1,-4) and (-2,-2) is given by: Option: 7 sq. units.
How to find the area of a triangle whose vertices' coordinates are given?Suppose the vertices of the considered triangle ABC are on [tex]A(A_x,A_y), B(B_x,B_y), C(C_x,C_y)[/tex], then, the area of the triangle is given by:
[tex]Area = \dfrac{|A_x(B_y-C_y) + B_x(C_y-A_y) + C_x(A_y-B_y)|}{2}[/tex]
For this case, we're specified that:
Coordinates of the vertices of the triangle QRS are:
(-1,2), (1,-4) and (-2,-2)
Thus, its area is evaluated as:
[tex]Area = \dfrac{|-1(-4-(-2)) + 1(-2-2) + (-2)(2-(-4))|}{2} = \dfrac{|2-4-12|}{2}\\\\Area = \dfrac{14}{2} = 7 \: \rm unit^2[/tex]
Thus, the area of the triangle QRS vertices have coordinates as (-1,2), (1,-4) and (-2,-2) is given by: Option: 7 sq. units.
Learn more about area of a triangle from the coordinates of its vertices here:
https://brainly.com/question/2532574
A zip line runs from the top of a platform on the edge of a pond to the ground across the pond. A camp counselor places a mirror on the edge of the pond across from the platform and stands back until the top of the platform is visible in the mirror. Use similar triangles to find the height of the platform.
Answer:
150 ft
Step-by-step explanation:
The diagram shown gives us a picture of two similar right triangle.
The height of the man is similar to the height of the platform.
To find the height of the platform, multiply the height of the man by the scale factor.
Scale factor = the ratio of any corresponding sides of two similar triangles.
Scale factor = 100 ft ÷ 4 ft = 25
Height of man = 6ft
Therefore, height of platform = 6 ft × 25 = 150 ft
A company spends $80 to set up their printer to print a specific T-shirt design. The company charges $10 per shirt. Which inequality best represents x, the number of T-shirts the company needs to sell to pay for set-up costs and earn a profit of at least $200?
Answer:
10x + 80 greater than or ewual to 200
Step-by-step explanation:
What are the coordinates of the image of vertex D after a reflection across the x-axis?
Answer:
(5-3)
Step-by-step explanation:
On Edg
PLEASE HELP!! Justin works from home and is paid $0.60 each for the first 100 models assembled. For each
model he assembles after 100 he gets $0.90 each. Last week he assembled 130 models. How
much did he earn?
Answer and work down below. Let me know if you have questions
4° below zero as an integer
Answer:
-4
Step-by-step explanation:
solve the system of equations using the elimination method
20x=16y-2
4y-2=-5x
Answer:
jujjjjjjjjjjjjjjjjjjjjjjj
Solve for s.
Give an exact answer.
63 – 4 = 8 (2+1/4s)
Answer:
exact form: 43/2
decimal form: 21.5
mixed number form: 21 1/2
Step-by-step explanation:
i have no idea ahahahahhahahahha
Answer: " s = 21. 5 " ; or, write as: " s = [tex]21\frac{1}{2}[/tex] "
____________________________
Step-by-step explanation:
____________________________
Given:
63 – 4 = 8 (2+1/4s) ; Solve for: "s" ;
Note: Rewrite the equation:
↔ 8 (2+1/4s) = 63 - 4 ; (commutative property);
Start with the "right-hand side" of the equation:
" 63 − 4 " ; which equals: " 59. "
___________________________
Rewrite the equation:
___________________________
→ 8 (2 + 1/4s) = 59 ;
Now, let us examine the "left-hand side" of the equation:
" 8 (2 + 1/4s) " ;
Note the "distributive property" of multiplication:
a(b + c) = ab + ac ;
As such:
" 8 (2 + 1/4s) " ;
= (8×2) + (8× 1/4s) ;
= 16 + 8/4s ;
= 16 + 2s ;
Now, rewrite the equation:
16 + 2s = 59 ; Subtract "16" from each side of the equation:
16 + 2s − 16 = 59 − 16 ;
to get: 2s = 43 ;
Now, divide each side of the equation by "2" ;
to isolate "s" on one side of the equation; & to solve for "s" ;
2s / 2 = 43 / 2 ;
to get:
s = 21. 5 ;
or; write as " [tex]21 \frac{1}{2}[/tex] " .
___________________________
Hope this answer—and explanation—helps you!
Best of luck to you!
___________________________
Based on her recipe, Elena knows that 5 servings of granola have 1750 calories
Answer:
1 serving of granola = 350 calories
Step-by-step explanation:
For 1 serving of granola, you need to divide 1750 by 5.
That would be 350 calories.
So for 1 serving of granola, you would have 350 calories
Hope this helps ;)
How do I solve these questions?
Answer:
멍청한 멍청이 인 줄 몰라 다시 묻지 마요 포인트 만 있으면 돼 멍청한 학교 질문에 답하고 싶지 않아요 멍청한 멍청이
Step-by-step explanation:
멍청한 멍청이 같은 또 다른 질문은하지 말아요.
Suppose that a disease is inherited via a dominant mode of inheritance and that only one of the two parents is affected with the disease. The implications of this mode of inheritance are that the probability is 0.3 that any particular offspring will get the disease, and is 0.15 that all the offspring will get the disease.
A) What is the probability that in a family with two children, both siblings are affected?B) What is the probability that exactly one sibling is affected?C) What is the probability that neither sibling is affected?D) Suppose the older child is affected. What is the probability that the younger child is affected?
Answer:
Step-by-step explanation:
A ) Let p be the probability of getting affected . Probability of not getting affected be q
p = .3 , q = .7
If n be the member of family , probability that x children will be affected will be given by the expression
p(x) = ⁿCₓ pˣqⁿ⁻ˣ
n = 2 , x=2
p(2) = ²C₂ .3².7²⁻²
= 1 x .09 x 1 = .09
B )
p(1) = ²C₁ .3¹.7²⁻¹
= 2 x .3 x .7
= .42
C ) x = 0
p (0) = ²C₀ .3⁰.7²⁻⁰
= 1 x 1 x .49
= .49
D ) Let A be the probability that older child is affected and B be the probability that younger child is affected
P( A /B ) = P(A∩B) / P(B )
= .09 / .42
= .214
Which of the following statements are true? Remember that a mathematical statement is said to be true if it is always true, under all circumstances.
A. Every matrix equation Ax b corresponds to a vector equation with the same solution set.
B. If A is an m x n matrix and if the equation Axb is inconsistent for some b in R", then A cannot have a pivot in every row.
C. The first entry in the product Ax is a sum of products.
D. If the augmented matrix [A l b] has a pivot position in every row, then the equation Ax-b is inconsistent.
E. The equation Ax-b is consistent if the augmented matrix [A I b] has a pivot position in every row.
F. If A is an m x n matrix whose columns do not span Rm, then the equation Ax-b İs inconsistent for some b in R.
Answer:
A, B, C, F
Step-by-step explanation:
Statement A is true.
All the matrix equation of the order always corresponds to any vector equation having the same solution set.
Statement B is true.
If P is any matrix of the order m x n and if the equation [tex]$Px=b$[/tex] is inconsistent for any b in [tex]$R^m$[/tex] , then P does not have a pivot in all the rows.
Statement C is true.
The first entry of elements in a product Ax is the sum of the products.
Statement F is true.
If a matrix A of order m x n and whose columns does not span [tex]$R^m$[/tex] , then equation [tex]$Ax=b$[/tex] will be inconsistent for any b in [tex]$R^m$[/tex] .
The difference of the present ages of two sister in 5 yrs
After 4yrs if the product of their age becomes 104. fine
their present age-
Answer:
4 and 9
Step-by-step explanation:
let their ages be x and x - 5, then in 4 years their ages will be
x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus
(x + 4)(x - 1) = 104 ← expand factors on left using FOIL
x² + 3x - 4 = 104 ( subtract 104 from both sides )
x² + 3x - 108 = 0 ← in standard form
(x + 12)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 9 = 0 ⇒ x = 9
However, x > 0 ⇒ x = 9
Thus
Their present ages are 9 and 9 - 5 = 4
if m < 3 = 126° , what is m < 5
Answer:
210.
Step-by-step explanation:
123/3=42
42 times 5 =210
Write(4x0.1)+(6x0.01)+(9x0.001) in standard form
Answer:
.469
Step-by-step explanation:
(.4)+(.06)+(.009)
i neeeeed help with this one
Answer:
All the terms are alike.
Step-by-step explanation:
Answer:
its the 2nd one
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get u a better answer.
-Have a great day! :)
A sample space contains six sample points and events A, B, and C as shown in the Venn diagram. The probablities of the sample points are P(1)=0.15, P(2)=0.15, P(3)=0.15, P(4)=0.2, P(5)=0.15, P(6)=0.2.
Use the Venn diagram and the probabilities of the sample points to find:
P(B|C)
P(B¯¯¯¯|C¯¯¯¯)
Answer:
(a) 0.65
(b) 3/7
(c) 6/13
Step-by-step explanation:
(a) P(C') = 1 - p(5) -p(6) = 1 - 0.15 - 0.2
P(C') = 0.65
__
(b) P(B|C) = P(BC)/P(C) = P(5)/(P(5)+P(6)) = 0.15/(0.15 +0.2)
P(B|C) = 3/7
__
(c) P(B'|C') = P(B'C')/P(C') = (P(1) +P(2))/0.65 = (0.15+0.15)/0.65
P(B'|C') = 6/13
10. Write down three consecutive whole numbers just preceding 8510001
Answer:
8,510,002, 8,510,003, 5,510,004
How do I do this problem?
Answer:
Step-by-step explanation:
Since the 2 horizontal lines are parallel,
angle 1 and 3 are corresponding angles and hence equal
So, angle 1 = angle 3
20x + 60 = 30x + 20
10x = 40
x = 4
Now, finding angle 1
Angle 1 = 20x + 60
Angle 1 = 20 (4) + 60
Angle 1 = 140 degrees
Mark Brainliest if this answer helped
The sum of three consecutive integers is 171. What are the integers?
Answer:
56,57,and 58
Step-by-step explanation:
Therefore, three consecutive integers that add up to 171 are 56, 57, and 58.
Answer:
56, 57, 58
Step-by-step explanation:
x+x+1+x+2=171
3x+3=171
3x=168
x=56
56, 57, 58
Ryan placed $1,000 in a savings account which compounds interest annually at a rate of 2.5%. How much will he have in the account after 2 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
1,050
Step-by-step explanation:
p=1000
R=2.5%
T=2 years
S.I=?
S.I=PRT÷100
S.I=$50
T.T Amount =P+S.I
Amount=$1,050
Answer:
1051
Step-by-step explanation:
Luis bought a box of 84 nails.He used 3/4 the nails in the box.How many nails did he use?
93/32 as a percentage
Answer:
290.625%
Step-by-step explanation:
(MARKING BRAINLIEST} Write an equation of the line that satisfies the given conditions:
20. m=1/3 b=4
21. m=-1/4 passes through (3,6)
22. passes through (4,-2) and (0,4)
Answer:
20. y = 1/3x +4
21. y -6 = -1/4(x -3)
22. 3x +2y = 8
Step-by-step explanation:
Different forms of the equation of a line can be useful for these different forms of the problem of finding the equation.
20. Given the slope and y-intercept, the slope-intercept form is useful.
y = mx + b
y = 1/3x + 4
__
21. Given a slope and a point, the point-slope form of the equation is useful.
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -6 = -1/4(x -3)
__
22. Given 2 points, the 2-point form of the equation of a line is useful.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (4 -(-2))/(0 -4)(x -4) -2
y = -6/4(x -4) -2
y = -3/2x +6 -2
3x +2y = 8 . . . . . . add 3/2x and multiply by 2 (standard form)
_____
Additional comment
The question asks for "an equation", not "the equation", so we assume that any form is suitable. You may find that your grader will only accept a particular form (usually, point-slope form), so you may have to manipulate these into that form to satisfy your grader.
A rectangular patio has a length of 12 1/12 feet and an area of 103 1/8 square feet. What is the width of the patio?
Answer:
The width of the rectangular patio is 8 1/4 feet, or as a decimal, 8.25 feet
Step-by-step explanation:
Deon bought 19 pounds of sugar for $10. How many pounds of sugar did he get per dollar?
Answer:
He got 1.9 pounds of sugar per dollar.
Step-by-step explanation:
Divide the amount of sugar by the amount of dollars paid.
-Ꮞk +1 = 1+k + 3k
What is this answer I need it quick thanks
Answer:
0
Step-by-step explanation:
Step 1:
- 4k + 1 = 1 + k + 3k Equation
Step 2:
- 4k + 1 = 1 + 4k Add
Step 3:
1 = 1 + 8k Add 4k on both sides
Step 4:
0 = 8k Subtract 1 on both sides
Answer:
k = 0
Hope This Helps :)
Find the additive inverse of -5.3
Answer: The additive inverse would be 5.3
Step-by-step explanation: All you do is do the opposite of the number. For example, if the number was -2, the additive inverse would be 2.
t/ 23= - 9 =
Can someone help me find the value of T please.
Answer:
t = -207
Step-by-step explanation:
Write it out: [tex]\frac{t}{23} = -9[/tex] Multiply each side by 23, so it now looks like this: t = -207I hope this helps!
