Graph f(x)=34x+2. Use the line tool and select two points to graph the line.
we have
[tex]f(x)=\frac{3}{4}x+2[/tex]
To graph the linear equation find the intercepts
we know that
The x-intercept is the value of x when the value of the function is equal to zero
The y-intercept is the value of the function when the value of x is equal to zero
so
Find the y-intercept
for [tex]x=0[/tex]
[tex]f(x)=\frac{3}{4}*0+2=2[/tex]
the y-intercept is the point [tex](0,2)[/tex]
Find the x-intercept
for [tex]f(x)=0[/tex]
[tex]0=\frac{3}{4}x+2[/tex]
Multiply by [tex]4[/tex] both sides
[tex]0=3x+8[/tex]
[tex]x=-\frac{8}{3}=-2.667[/tex]
the x-intercept is the point [tex](-2.667,0)[/tex]
Plot the intercepts to graph the line
The answer in the attached figure
Answer:
the answer is (-2,0) and (0, 2)
Good luck!
Please help me. Thank you.
Mayumi is constructing a line through point P that is perpendicular to RS←→. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc?
A. It must be equal to PS .
B. It must be greater than 12RS.
C. It must be wide enough so that the arc intersects RS←→ in two points.
D. It must be equal to PR .
Answer:
Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.
Write the equation of a line with a slope of 4 and a y-intercept of −3.
A: 4x+y=-3
B: 4x-y=-3
C: y=3x+4
D: y=4x-3
Answer:
y = 4x − 3
Step-by-step explanation:
Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
Answer: 1/2 or one-half
Step-by-step explanation:
Geometry help please?
4 questions.
Thanks!
PLEASE HELP I NEED TO GET THIS CORRECT.
Suppose that the distance D feet that a car travels in t seconds is given by d(t)=2t^2. Calculate the average speed (average rate of change.) in feet per second from t=5 to t=9. (An exact number.)
A rate of change is a rate that describes how one quantity changes in relation to another quantity, then d(t)=2t^2 is given, 28 feet is average speed in feet per second from t=5 to t=9.
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity.
d(t)=2t^2 is given, we need to find average speed in feet per second from t=5 to t=9.
d(t)=2t^2.
The average rate of change is calculated by the formula: d(t2) - d(t1) / t2 - t1
So plug in 5 as t1 and 9 as t2.
d(9) - d(5) / 9 - 5 =
(2×81) - (2×25) / 9 - 5 =
162 - 50 / 4 =
112 / 4 = 28
Therefore the average speed is 28 feet.
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am i correct ? geometry problem
Describe the cross section
Answer:
D. Square
Step-by-step explanation:
A cross section is the shape that we get when we cut the object.
Here the given object is a cube.
It is cut straight through the middle.
Imagine a cube cut through the middle, when we look at the same on the top, we get square.
Since in a cube all the sides are equal.
Therefore, we get square when we cut the cube straight through the middle.
Answer: D. Square.
The cross-section of the shape in the image is a square.
Here's why:
The shape in the image is a cube.
A cube has six square faces.
When you cut a cube through the middle along any of its axes, the resulting cross-section will always be a square.
Therefore, the answer is D. square.
The lengths of the sides of a triangle are in the extended ratio 5 : 7 : 10. The perimeter of the triangle is 88cm. What are the lengths of the sides?
Look at the following expression.
5(3x + 2)
Which of the answer choices below is NOT an equivalent expression?
A.15x + 10
B.10x + 15
C.5 ∙ 3x + 5 ∙ 2
D.5(2 + 3x)
Compute the requested average. Tim Worker receives the following income monthly from a second job. Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec. $200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150 In dollars and cents the average pay will be?
A pack of cinnamon scented pancils sells for $7.00.What is the sales tax rate if the total cost of the pencils is $7.49?
The amount of sales tax rate on the scented pencils will be equal to 7%.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of scented pencils = $7
Price of pencils after-tax = $7.49
Then, the percentage of tax on the pencils will be,
= (7.49 - 7)/7 × 100
= 0.07 × 100
= 7%
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Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. What is the residual value when x = 4?
Solution:
The line of best fit is given as y=2.78x-4.4
We need to find the residual value when x=4.
The residual value is an estimate of the wholesale value .To find the residual value we plug in x=4 in the given line of best fit.The corresponding y value will give the predicted value.
y=2.78x-4.4
Substituting x=4,
y=2.78(4)-4.4
y=11.12-4
y=7.12.
The predicted value when x=4 is y=7.12.
Residual value = predicted value - Actual value -=7.12 - actual value.
It is a week before the maths festival. A maths exhibitor costs £75.40 and so far 12 have been bought.
7x=2x-35
A. 7
B.5
C.-5
D.-7
ABCD is a kite, find the length of BD
Answers:
A. 8
B. 16
C. 12
D. 24
In triangle ΔABC, ∠C is a right angle and CD is the height to AB, Find the angles in ΔCBD and ΔCAD if: m∠A = α
m∠DBC =
m∠DCB =
m∠CDB =
m∠ACD =
m∠ADC =
The equation ax=0 has only the solution x=0 because
using radicals, write an expression for the expression y 1/2
Kim is drawing a map of the different schools in her school district.she knows that her middle school is 10.6 miles away from the middle school that her best friend attends.if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map,to the nearest tenth of an inch
Answer:
4.24 inches.
Step-by-step explanation:
In the map,
2 inches represents 5 miles,
Thus, we can write,
[tex]5\text{ miles}=2\text{ inches}[/tex]
[tex]1\text{ mile}=\frac{2}{5}\text{ inches}-----(1)[/tex]
Since, the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1),
[tex]10.6\text{ miles}=10.6\times \frac{2}{5}=\frac{21.2}{5}=4.24\text{ inches}[/tex]
Hence, the distance between the two schools in the map is 4.24 inches.
Identify the 35th term of an arithmetic sequence when a1 = −7 and a 18 = 95
What are the solutions to the inequality? Graph the solutions. x/5 greater than or equal to -2
In a test-cross of a heterozygous black guinea pig (bb), what is the probability that the first two (2) offspring will be white?
Converting fractions to decimals worksheet 7th grade
What is the value of x in the equation 2x + 3y = 36, when y = 6
2x+3y=36
y=6
2x +3(6) = 36
2x +18 =36
2x = 18
x = 9
Answer:
The value of the provide expression is 9.
Step-by-step explanation:
Consider the provided expression.
[tex]2x + 3y = 36 [/tex]
We need to find the value of the expression, for x when y=6
Substitute the respective values in the provided expression.
[tex]2x + 3(6) = 36 [/tex]
[tex]2x + 18 = 36 [/tex]
[tex]2x= 36-18 [/tex]
[tex]2x= 18 [/tex]
[tex]x= 9 [/tex]
Hence, the value of the provide expression is 9.
The number of CDs sold has decreased each year. The graph shows the number of CDs sold in a given year. (coordinate graph) Which is a reasonable inference for the number of CDs at month 4?
Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sarah correct? Explain your thinking using negative powers of 10 and the number line
The number 0.001 is greater than the number 0.00001. She is incorrect.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. She is incorrect.
0.001 > 0.00001
Because the number 0.001 is greater than the number 0.00001.
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