Answers
Answer:
y = –1 + 3x
Step-by-step explanation:
To know which option is correct, we shall use the equation given in each option to see which will validate the table. This is illustrated below:
Option 1
y = –1x + 3
x = –2
y = –1(–2) + 3
y = 2 + 3
y = 5
This did not give the required value of y (i.e –7) in the table.
Option 2
y = 1 + 3x
x = –2
y = 1 + 3(–2)
y = 1 – 6
y = –5
This did not give the required value of y (i.e –7) in the table.
Option 3
y = –3 + 1x
x = –2
y = –3 + 1(–2)
y = –3 – 2
y = –5
This did not give the required value of y (i.e –7) in the table.
Option 4
y = –1 + 3x
x = –2
y = –1 + 3(–2)
y = –1 – 6
y = –7
This gives the required value of y (i.e –7) in the table.
Thus, the equation that matches the table is:
y = –1 + 3x
Related Questions
is this an example of direct variation? f(x)=2xy
Answers
Answer:
Yes, it is:
Step-by-step explanation:
Given
[tex]f(x) =2xy[/tex]
Required
Determine if it is a direct variation
A direct variation is represented as:
[tex]f(x)\ \alpha\ x[/tex]
Express as equation
[tex]f(x) = kx[/tex]
Compare [tex]f(x) = kx[/tex] to [tex]f(x) =2xy[/tex]
[tex]k = 2y[/tex]
Hence, it is a direct variation
A rectangle has a length of 16
inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?
Answers
Answer:
9 inches
Step-by-step explanation:
Given
Let;
[tex]L = Length; W= Width[/tex]
So:
[tex]L_1=16in; W_1 = 6in[/tex]
[tex]L_2 = 24[/tex]
Required
Determine [tex]W_2[/tex]
To do this, we make use of the following equivalent ratios
[tex]L_1 : W_1 = L_2:W_2[/tex]
This gives
[tex]16 : 6= 24:W_2[/tex]
Express as fraction
[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]
Multiply by 24
[tex]W_2 = 24 * \frac{6}{16}[/tex]
[tex]W_2 = 9[/tex]
2 +2 pls give me the answer
Answers
Answer:
4
Step-by-step explanation:
2+2=4
point and slope of the equation y - 8 = 4(x + 3)?
Answers
Slope : 4
Y-intercept : (0,20)
Hope this helps !
Have a great day :)
The slope and point of y-intercept is;
Slope = 4
Point of intercept = (0, 20)
We are given the equation;
y - 8 = 4(x + 3)
Now, the slope intercept form of the equation of a line is;
y = mx + c
where;
m is slope
c is y-intercept
x is value on the x-axis
y is value on the y-axis
Let us simplify our equation to the slope-intercept form;
y - 8 = 4(x + 3)
Expanding the bracket using distributive property gives;
y - 8 = 4x + 12
Using addition property of equality gives;
y - 8 + 8 = 4x + 12 + 8
y = 4x + 20
Comparing our result with y = mx + c,
m = 4 and c = 20
c is y-intercept which is value of y when x = 0.
Thus, intercept point is (0, 20)
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find the missing angle measures by examining the angle relationships first
m
m
m
Answers
∠ b = 43° — — { Vertical opp. angles]
Now, see 43 and a are together compromising the linear pair so,
= 43 + a = 180°
= a = 180 - 43
= a = 137
Like b, similarly here also a = c = 137° {Vertical opp. angles}
Solve the inequality 5u≤8u−21 and write the solution in interval notation
Answers
Answer:
Step-by-step explanation:
[tex]5u\leq 8u-21[/tex]
Subtract 8u from both sides
[tex]-3u\leq -21[/tex]
Divide by -3 on both sides
[tex]u\geq 7[/tex]
Interval notation: [greater/less than or equal to], (greater or equal to)
[7,∞)
The solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).
What is inequality?In mathematics, an inequality is a remark that two values or expressions are not equal. An inequality uses one of the comparison symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), "≥" (greater than or equal to), or "≠" (not equal to).
Here,
To solve the inequality 5u ≤ 8u - 21, we can start by isolating u on one side of the inequality. We can do this by subtracting 5u from both sides:
5u ≤ 8u - 21
-3u ≤ -21
Divide both sides by -3. Note that dividing by a negative number will reverse the direction of the inequality:
u ≥ 7
Therefore, the solution to the inequality is u ≥ 7, which means that u is greater than or equal to 7. In interval notation [ 7, ∞).
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You measure 34 textbooks' weights, and find they have a mean weight of 69 ounces. Assume the population standard deviation is 8.2 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight. Give your answers as decimals, to two places
Answers
Answer:
The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{8.2}{\sqrt{34}} = 2.76[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 69 - 2.76 = 66.24 ounces
The upper end of the interval is the sample mean added to M. So it is 69 + 2.76 = 71.76 ounces.
The 95% confidence interval for the true population mean textbook weight is between 66.24 and 71.76 ounces.
Last question I need help with an answer not a link
Answers
Answer:
it's toooo complicated
translate into algebraic expression " the sum of five times m and n
Answers
"Five times" means
5
(
...
)
,
"the sum of a number, say
x
, and
−
3
", means"{(x+(-3)}=(x-3)#.
Taking all these together, the reqd. Algebraic Expression turns out to be
5
(
x
−
3
)
.
Write the slope-intercept form of the equation of the line through the point (-1,-4) with the slope of 6.
Answers
Answer:
y-y1=m(x-x1)
y+4=6(x+1)
y=6x+2
Determine the values of x where the function f(x) is not continuous.
{1/3x + 5 x<= 3
x+ 2 x >3
Answers
Answer:
13x=5
Step-by-step explanation:
sus 20 crequired udbshs
2. A set of data consists of the number of years that applicants for foreign service
jobs have studied German and the grades that they received on a proficiency test.
The following regression equation is obtained: = 31.6 + 10.9x, where x represents
the number of years of study and y represents the grade on the test.
a. Identify the predictor and response variables.
b. Interpret the regression equation by interpreting the y-intercept and slope.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the regression equation :
y = 31.6 + 10.9x
x = the number of years of study ;
y = the grade on the test.
The predicted is y which is also the same as the response variable, hence, the response variable is grade on the test
The predictor variable is x, which is the independent variable, which is the number of years of study.
From. The regression output given ;
The slope which is the Coefficient of the predictor variable is 10.9 which means that for every unit change in number of years of study, the grade on test increases by 10.9
The intercept which is the constant value, 31.6, means, the least a person can get in the get in grade is 31.6 (at x = 0)
Find the Area Please!
Answers
Surface area: 105.97
Base area: 36
Hope it helps...
Why is triangle called an obtuse triangle?
a. It has zero obtuse angles
b. It has 2 obtuse angles
c. It has 1 obtuse angle
d. It has 3 obtuse angles
Which is NOT a polygon?
a. A break
b. A donut
c. A window
d. A stop sign
What do you call a polygon with equal side lengths and angle measures?
a. Vertex
b. Nonconvex
c. Irregular polygon
d. Regular polygon
Tell whether the figure at the right is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - hexagon
c. Polygon - pentagon
d. Polygon - convex
If all the sides and angles in a parallelogram are equal then, which shape is it?
a. Rectangle
b. Triangle
c. Square
d. Rhombus
What do you call a polygon that is both equilateral and equiangular?
a. Segment
b. Irregular polygon
c. Regular polygon
d. Vertices
Which is not represented by the figure shown below?
a. Polygon
b. Parallelogram
c. Quadrilateral
d. Rectangle
How many diagonals must pass outside the figure to classify a polygon as nonconvex?
a. Zero
b. At least one
c. At least two
d. All of them
Which best describes the polygon below?
a. A regular hexagon
b. A convex hexagon
c. An arrow
d. A nonconvex hexagon
Tell whether the figure below is a polygon. If it is, name it by the number of sides.
a. Not a polygon
b. Polygon - octagon
c. Polygon - hexagon
d. Polygon - nonconvex
Answers
Answer:
An obtuse angle is an angle that measures
more than 90 degrees and less than 180
degrees.
Answer:
answers in explanation...
Step-by-step explanation:
1. is C it has 1 obtuse angle
2. b. a donut is not a polygon. ( bricks,windows,and stop signs are polygons)
3. d. a regular polygon.
4. ( i cannot do without the image)
5. a. rectangle
6.c. a regular polgony
7.(cannot do without image)
8.b. at least one
9.(cannot do without image)
10. ( cannot do wihtout image)
Hi I needed help with my math homework. can you please help :| .....
Question: c - 1.3 = 6
Answers
Answer:
7.3
Step-by-step explanation:
c- 1.3 = 6
c = 6 + 1.3
c = 7.3
nay it helped u
By the distributive law, 49 * 17 + 49 * 3 =
Answers
Answer:
980
hope it helps
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answers
Answer:
t think the answer is 1040.
what is the most $ that you can get out of a ATM?
Answers
Answer:
$200
Step-by-step explanation:
Answer:
I think it is 200$
Step-by-step explanation:
NEED HELP ON THIS ASAP PLZ!!
Answers
Answer:
cos0 = 6.8556546i/23 or sqrt-47/23
Step-by-step explanation:
hypotenuse is 23, opposite is 24
we have to find the adjacent using the pythagorean theorem
24^2 + b^2 = 23^2
576+b^2=529
subtract
b^2=-47
b=sqrt-47
sqrt of -47 is 6.8556546i, there is an i since it is the square root of a negative
cos = adjacent/hypotenuse
How many vertices dose the following shape have?
Answers
Answer:
If you have more than one vertex they are called vertices. You can also count the number of vertices in order to identify solid figures. Let's look at an example. When you count the number of vertices in the figure above you see there are 7 vertices.
Given f(x)= 17- x2, what is the average rate of change in f(x) over the interval [1, 5)?
O -6
O -1/2
O 1/4
O 1
Answers
A rectangular field is 0.35 kilometers long and 0.2 kilometers wide. What is the area of the field in square meters?
I need step-by step work?
Answers
Area of rectangle = length x width
Here, Area of rectangle = 0.35 x 0.2 = 0.07 square km which is 70 square meter
As answer is required in square meter, you need to convert kilometer into meter.
The area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Area of rectangle = 0.35x0.2 = 0.07 square km
1 km = 1000 m
1 square km = 1000000 square m
Area of rectangle = 0.07x1000000 square m
Area of rectangle = 70000 square m
Thus, the area of the rectangular field is 70000 square m if the rectangular field is 0.35 kilometers long and 0.2 kilometers wide.
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What are the domain and range of this function?
Answers
===========================================
Explanation:
The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.
The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]
-----------------------------------
The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.
In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]
-----------------------------------
Extra info:
The equation of this absolute value function is y = |x|+1
Activity IB. FIND ME!
Find the area of each circle. Use = 3.14
3.
1.
2.
om
13cm
19in.
5.
33cm
25cm
yan paki sagot
Answers
2 “530.66m²”
3 “1133.54in²”
4 “854.865cm²”
5 “1962.5cm²”
Hope it helps :)
Select the correct answer.
The body of a person who weighs 50 kilograms contains around 2 × 102 grams of sodium chloride. How much sodium chloride is contained in the bodies of 1.8 × 103 people who each weigh 50 kilograms? Represent the answer in scientific notation.
A.
3.6 × 105 grams
B.
1.1 × 101 grams
C.
36 × 105 grams
D.
11 × 101 grams
Answers
Answer:
3.6 x 10⁵ g of sodium chloride
Step-by-step explanation:
Answer:
3.6 x 10⁵ g
Step-by-step explanation:
Please help a girl out, math is not my forte
Answers
Answer:
80 ft²
Step-by-step explanation:
You are given the formula
a = (1/2)bh
Just plug in the base and height, then multiply
a = (1/2) * 8 *20
a = (1/2) * 160
a = 80 ft²
Answer:
80 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area = [tex]\frac{1}{2} bh[/tex]
Area = [tex]\frac{1}{2}[/tex] 8 · 20
Area = [tex]\frac{1}{2}[/tex] 160
Area = 80 [tex]ft^{2}[/tex]
Which expression give the best estimate of 45 percent of 76
Answers
Answer:
a. One-fourth (80)
b. One-fifth (80)
c. One-half (80)
d. One-ninth (80)
the answer is C.
Step-by-step explanation:
Estimate .45 to .50 which is 1/2
= 1/2 (80)
hope this helps!
Multiply this please
Answers
Answer:
-70x² + 49x - 63
Step-by-step explanation:
7( -10x² + 7x - 9) =
7( -10x²) + 7(7x) - 7(9) =
-70x² + 49x - 63
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What value of x is in the solution set of 8x – 6 > 12 + 2x?
Answers
Answer:
x > 3
Step-by-step explanation:
[tex]8x - 6 > 12 + 2x\\\\8x - 6 + 6 > 12 + 6 + 2x\\\\8x > 18 + 2x\\\\8x - 2x > 18 +2x-2x\\\\6x > 18\\\\\frac{6x>18}{6}\\\\\boxed{x > 3}[/tex]
Any value that is greater than 3 would be in the solution set for the inequality.
Hope this helps.
Answer:
x > 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
8x - 6 > 12 + 2x
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 2x on both sides: 6x - 6 > 12[Addition Property of Equality] Add 6 on both sides: 6x > 18[Division Property of Equality] Divide 6 on both sides: x > 3Paul rides his bike for 2 hours at a constant rate of 20 mph. He then bikes for 3 hours at a constant rate of 25 mph. How far did Paul travel in the 5 hours?
A. 15 mi.
B. 52 mi.
C. 115 mi.
D. 165 mi.