translate seven minus three times a number into an algebraic expression
Suppose f(x) = 5x - 4. Describe how the graph of g compares with the graph of f.
g(x)=f(x) + 12
IDEE
Select the correct choice below, and fill in the answer box to complete your choice.
O A. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is stretched horizontally.
OB. The graph of g(x) is translated unit(s) to the left compared to the graph of f(x).
OC. The graph of g(x) is translated unit(s) down compared to graph of f(x).
OD. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is stretched vertically.
O E. g(x) has a scale factor of compared to f(x). Because it scales the horizontal direction, the graph is compressed horizontally.
O F. g(x) has a scale factor of compared to f(x). Because it scales the vertical direction, the graph is compressed vertically.
O G. The graph of g(x) is translated unit(s) to the right compared to the graph of f(x).
O H. The graph of g(x) is translated unit(s) up compared to graph of f(x).
The graph of g(x) and f(x) are related by the given equation g(x) = f(x) + 12,
therefore, the ordered pair of the graph of g(x) is (f(x) + 12, x).
The choice that correctly describes how the graph of g(x) compares with f(x)
is the option; H. The graph of g(x) is translated unit(s) up compared to graph
of f(x).
Reasons:
The given function is f(x) = 5·x - 4
The function g(x) = f(x) + 12
Required:
To select the correct choice from the given options
Solution:
The difference between f(x) and the required function, g(x), is the addition
of a constant positive value of 12 to the function f(x).
Therefore, each f(x) output value is further increased by 12 to obtain the
graph of g(x), which gives;
The graph of g(x) is translated 12 units up compared to the graph of f(x),
which corresponds with the option H.
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Find the value of X, rounded to the nearest tenth.
A. 31.8
B. 31.4
C. 10.3
D. 10.7
Answer:
B. 31.4
Step-by-step explanation:
To find x, the hypotenuse, we need to use sin because we have been given the opposite (the side opposite the angle 35°) and we need to work out the hypotenuse (the longest or slanted side):
SOH, CAH, TOA
sin(θ) = opposite ÷ hypotenuse
Sub in the values (we don't know the hypotenuse so i've called it x):
sin(35) = 18 ÷ x (multiply both sides by x)
x × sin(35) = 18 (divide both sides by sin(35))
x = 18 ÷ sin(35) = 31.38204...
x ≈ 31.4
Hope this helps!
Solve 2x - 4 > 10 and select all of the following answer choices that would make this inequality true. A)9 B) 5 C) 6 D)8
Answer:
x > 7
Step-by-step explanation:
Janelle's family earns about $60,000 per year. She has been accepted to State U and
Greenlawn College and is comparing their financial aid packages.
State U:
.
Sticker price = $28,000
• Net price = $12,000
Greenlawn College:
• Sticker price = $60,000
• Net price = $9,000
Which statement below is TRUE?
Based on the evaluation of information given, the true statements for the option are ;
state university has a lower sticker price than greenlawn.greenlawn college is providing janelle more grants and scholarships.one factor that impacts net price is family income.Given the packages for State University and Greenlawn College :
Grants and scholarships = Sticaker price - net priceGreen lawn scholarship = $60000 - $9000 = $51000
State university = $28000 - $12000 = $18000
The net price is the amount which the student actually pays for entry. Hence, Green lawn College is the best option for Janelle if decison is strictly based on cost.
A sticker price of $28000 is lesser than $60000. Hence, State University has a lower sticker price.
In determining, net price, the family income is a strong factor which is usually considered.
Hence, the false statement is ; if making a decision strictly based on cost, janelle's' best option is state university
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find the value of x and y. SHOW WORK
Please answer these and find the slope intercept form for each one.
Best answer gets brainliest
help rn please!! I’ll mark as brainliest for the first person to answer
Answer:
c is the answer for this hope it helps
Answer:
Option DStep-by-step explanation:
The first two options don't make sense as absolute value is always positive.
The third option requires the answer to be within one interval but our answer is the combination of two intervals.
Let's verify if the last option is correct:
|2x - 3| - 1 > 4|2x - 3| > 51) 2x - 3 > 5 ⇒ 2x > 8 ⇒ x > 42) 2x - 3 < - 5 ⇒ 2x - 3 < -2 ⇒ x < - 1So this option is matching the graph
Find the quotient. 28,134 ÷ 47
Answer:
28,134 / 47 = 598.6
Step-by-step explanation:
For the division of 28,134 ÷ 47, the quotient is determined as 598.596.
What is the quotient of a number?Quotient refers to the result obtained when one number (dividend) is divided by another number (divisor).
When you perform division, the quotient is the answer or the result of the division operation.
For the division of 28,134 ÷ 47, the quotient is calculated as;
28,134 ÷ 47
= 28,134 / 47
= 598.596
Therefore, for the division of 28,134 ÷ 47, the quotient is determined as 598.596.
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What is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
$1559.40
Step-by-step explanation:
1. Find the perimeter of the garden
[tex]14\frac{2}{3} + 14\frac{2}{3} + 10\frac{1}{3} + 10\frac{1}{3} = 50 yd[/tex]
2. Convert to feet
1 yd = 3ft
50 x 3 = 150
50 yd = 150 ft
3. Divide by 2.5 to find out how many sections are needed
150/2.5 = 60 sections
4. Multiply by 25.99
60 x 25.99 = 1559.4
It will cost $1559.40
Can anyone help asap please
Answer:
Step-by-step explanation:
a=e= 90 b/c it is square
b= 45, it half of square
c base in rule of sin or cos, tan.
d=2,85
Verify in the following whether g(x) is a factor of p(x)
(i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1
[tex] \red{\large\underline{\sf{Solution-i}}}[/tex]
Given that,
[tex] \rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2[/tex]
and
[tex]\rm \longmapsto\:g(x) = x - 2[/tex]
We know,
Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.
So, using Factor theorem, Consider
[tex]\rm \longmapsto\:p(2)[/tex]
[tex]\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2[/tex]
[tex]\rm \: = \: 16 - 8 - 4 - 4[/tex]
[tex]\rm \: = \: 16 - (8 + 4 + 4)[/tex]
[tex]\rm \: = \: 16 - 16[/tex]
[tex]\rm \: = \: 0[/tex]
[tex]\rm\implies \:p(2) \: = \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: factor \: of \: p(x)[/tex]
[tex] \red{\large\underline{\sf{Solution-ii}}}[/tex]
[tex]\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1[/tex]
and
[tex]\rm :\longmapsto\: g(x) = x + 1[/tex]
Now, By using Factor Theorem, Consider
[tex]\rm \longmapsto\:p( - 1)[/tex]
[tex]\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1[/tex]
[tex]\rm \: = \: - 2 + 1 + 2 + 1[/tex]
[tex]\rm \: = \: 2[/tex]
[tex]\rm\implies \:p( - 1) \: \ne \: 0[/tex]
So,
[tex]\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)[/tex]
3 please please please help me!
Answer:
look at the photo....................
Help!!!! I have a math assignment due this WEDNESDAY!!! I don’t understand what I’m supposed-to do. I started writing but I feel like whatever I wrote is incorrect! Just someone PLEASE help!
Given h(x)=5x-1h(x)=5x−1, find h(1)h(1).
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches How much flour does Nate need to make his cookies? 1 cups 62 cups 12 61 cups 71 cups
Answer:
12
Step-by-step explanation:
= Homework: Section 9.6
Question 16, 9.6.61
O Point
The perimeter of a rectangle is to be no greater than 160 centimeters and the width must be 35 centimeters. Find the maximum length of the rectangle.
Answer:
here is an an example
Step-by-step explanation:
Let x = the width of the rectangle
P = 2l + 2w
2(40) + 2x ≤ 150
80 + 2x ≤ 150
2x ≤ 70
x ≤ 35 cm
are my choices correct?
pls check math geniuses!!
X would be 10, and 2 because:
(10-10) = 0 and (2-2) = 0
The extraneous solution is correct because the equation does not hold true when x is 2 and only hold trues when it is 10.
Edit: the extraneous solution is 2 is because it doesn't hold true to the equation.
Fiona planted tomato plants in her back yard earlier this year. So far, they have produced 55 tomatoes. From past experience, she expects the tomato plants to produce an additional 14 tomatoes each week for the rest of the summer. Which of the following recursive formulas can be used to determine the total number of tomatoes produced by her plants after any given number of weeks in the summer, assuming that her expectations are correct?
Answer:
Although it is a short-lived perennial, tomato plants can bear fruit for more than one year in parts of the world that never dip below 65 degrees Fahrenheit. If you have a greenhouse and can keep it heated during the cold months, consider placing an experimental beefsteak, plum or grape tomato plant among your tropical flowers.
Step-by-step explanation:
Tyler stood outside the movie theater and asked every fourth person to enter the movie theater for their favorite sport. There were
four choices football, baseball, basketball, and other. Bill surveyed a total of 52 people of those surveyed, 11 said football is their
favorite 13 said baseball is their favorite, 14 said basketball is their favorite, and 14 said other.
Identity the sample size in the situation above.
A. 65
B. 38
C. 27
D. 52
Answer: The answer is A
Step-by-step explanation: 100% Right Hope This Helps
May I please receive help?
Answer:
Equation of Parallel Line: y = -7x - 44
Equation of Perpendicular Line: y = x/7 - 8/7
Step-by-step explanation:
1) Parallel
Substitute (-6, -2) to find C
-2 = -7(-6) + c
-2 = 42 + c
-2 - 42 = c
c = -44
y = -7x -44
2) Perpendicular
Negative reciprocal
Substitute (-6, -2) to find C
-2 = 1/7(-6) + c
-2 = -6/7 + c
-2 + 6/7 = c
c = -8/7
y = 1/7x - 8/7 or
y = x/7 - 8/7
8 and 10 in independent practice please
Answer:
8.) Rational
10.) Irrational
Step-by-step explanation:
8.) This is rational because although it is a decimal, it is terminating, meaning it has an end.
10.) This is irrational because it is a repeating decimal with seemingly no pattern.
Me and my mom are confused. Please help!!
Answer:
0.05/min or plus 0.25 every 5 minutes
Step-by-step explanation:
To find the unit rate divide 0.25 by 5:
0.25 ÷ 5= 0.05
OR
After every 5 minutes, Eric has traveled 0.25 miles.
Hope this helps!
The line through (-2, 3) with slope 2/3 in point slope form
Answer:
y - 3 = 2/3(x + 2)
Step-by-step explanation:
slope = 2/3
point-slope form --> y - y1 = m(x - x1)
y - 3 = 2/3(x - -2)
y - 3 = 2/3(x + 2)
point slope form of the line is y - 3 = 2/3(x + 2)
Answer:
y - 3 = 2/3(x + 2)
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
3
Step-by-step explanation:
[tex]\sqrt{133225} =365[/tex]
Answer:
365
Step-by-step explanation:
√133225 = 365
(365 × 365 = 133225)
Hope this helps!
Patulong naman po need kona po ngayun to
Just zoom if you don't clearly see it
THANK YOU
1.d
2.d
hope it helps
...............
If f(x)= –2x+3 then f(3) – f(4)=
Answer:
2
Step-by-step explanation:
F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation
F(3) = -2(3) + 3
= -3
F(4) = -2(4) + 3
= -5
- 3 -(-5) = 2
Answer:
2
Step-by-step explanation:
Step 1: Solve for f(3)
[tex]f(3) = -2(3)+3[/tex] [tex]f(3) = -6 + 3[/tex] [tex]f(3) = -3[/tex]Step 2: Solve for f(4)
[tex]f(4) = -2(4) + 3[/tex] [tex]f(4) = -8 + 3[/tex] [tex]f(4) = -5[/tex]Step 3: Subtract f(4) from f(3).
[tex]f(3)-f(4)[/tex] [tex](-3)-(-5)[/tex] [tex]-3 + 5[/tex] [tex]2[/tex]Therefore, the answer is 2.
Line L1 has gradient 2 and is perpendicular to line L2. Line L2 passes through the point P(2, 1).
Find the x-coordinate of the point where L2 meets the x-axis.
Answer:
line L1 and line L2 passes L2.
The x-coordinate of the point where L2 meets the x-axis is (1, 4).
What is the Point-slope form?The equation of the straight line has its slope and given point.
The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line (x₀, y₀) is the given point.
First is to get the slope of the known line:
The standard equation of the line
y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 so,
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (2, 1) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis;
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence, the equation of the line L2 is 2y+x = 5
Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).
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Please Help Me I Will Give You The Brain Thing And Extra Points.
Write the equation of the line that has a slope of 2 and passes through the point (-3,4)
A)y = 2x - 2
B)y = 2x + 2
C)y = 2x + 7
D)y = 2x + 10
Convert 47/16 to a decimal using long division.
2.9375 is the answer
3 is the rounded up answer
i cant show steps cuz :p
sorry
anyway hope tis helps
Answer:
47/16
is basically dividing
47÷16
Long Division for 47 divided by 16
=2.9375