Answer:
Y = MX + b
y = -3/4 X + 5
Step-by-step explanation:
Use the parabola tool to graph the quadratic function f(x)=−x2+4. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
see below
Step-by-step explanation:
f(x) = -x^2 +4
The vertex form is
y = a(x-h)^2 +k
Rewriting
f(x) = -(x-0)^2 +4
The vertex is (0,4) and a = -1
Since a is negative we know the parabola opens downward
f(x) = -(x^2 -4)
We can find the zeros
0 = -(x^2 -2^2)
This is the difference of squares
0 = -(x-2)(x+2)
Using the zero product property
x-2 =0 x+2 =0
x=2 x=-2
(2,0) (-2,0) are the zeros of the parabola and 2 other points on the parabola
We have the maximum ( vertex) and the zeros and know that it opens downward, we can graph the parabola
Answer:
Your vertex is (4,0)
Step-by-step explanation:
Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side length of 1/2 yard would Jimmy need to measure the volume of his trunk?
Answer: 6 blocks
Step-by-step explanation:
Given
Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]
Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]
Volume of each cubic block is
[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]
Suppose, n blocks are required to measure the volume of Prism
[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]
Thus, 6 blocks are required to measure the volume of prism.
Yes that person is correct
the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school by car complete the table below
The image of the bar chart is missing and so i have attached it.
Answer:
Bus = 75
Cycle = 20
Walk = 45
Step-by-step explanation:
We are told that 50 students said they travel to school by car.
However, in the bar chart, we see that we have a portion for boys and girls
Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.
Thus, to find the value of a unit since number of people that took cars is 50, we have;
(6x + 4x)/2 = 50
Where x is the value of one unit. Thus;
10x/2 = 50
5x = 50
x = 50/5
x = 10
Thus, a unit is 10
Under bus;
Boys have 7 units while girls have 8 units.
Thus;
Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75
Under cycle;
Boys have 1 unit while girls have 3 units.
Thus;
Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20
Under walk;
Boys have 5 units while girls have 4 units.
Thus;
Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45
slove................
Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.
Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.
Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.
Hope this helps!
Answer:
<1 = 53
<2 =127
<3 = 53
Step-by-step explanation:
Angles 2 and 4 are vertical angles and vertical angles are equal
<2 = <4 = 127
<1 + <2 =180 since they form a straight line
<1 + 127 = 180
< 1 = 53
<1 and <3 are vertical angles so they are equal
<1 = <3 = 53
H E L P !
Given that the Universal set is numbers 1 through 20, write the complement of the set A.
Set A : {1, 3, 7, 12, 14, 17, 19, 20}
Answer:
A' : {2, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16, 18}
Isabella runs 3 times per week. She ran for 15 minutes on Monday and 17 minutes on Wednesday. Her coach told her that she had run 80 percent of her goal that week. How many more minutes does she need to run to meet her goal for the week?
Answer
8 More minutes
Step-by-step explanation:
15+ 17 = 32
32/.8 = 40
40 - 32 = 8
Can someone help me with this math homework please!
Answer:
f(n+1) = f(n) - 5
Step-by-step explanation:
Just find some relationship between 2 numbers that are next to each other.
Can someone help me with this math homework please!
Answer:
Second optionAs the x-values go to negative infinity, the function´s values go to positive. infinity.
--------------------------
Hope it helps...
have a great day!!
Answer:
(B) As the x-values go to negative infinity, the function's values go to positive infinity.
Step-by-step explanation:
The x-values the answer choices are talking about are the values on the x-axis.
Looking at the graph, when the x-values go to negative infinity (meaning it keeps on going left, or negative), the function goes up, meaning the function goes to positive infinity.
When the x-values go to positive infinity (meaning it keeps on going right, or positive), the function goes up, meaning the function goes to positive infinity.
Out of all the answer choices, only B agrees with the observations written above.
Hope that helps (●'◡'●)
Write each power as a single power, then evaluate (9
Answer:
Step-by-step explanation:
a. 〖(9^8)〗^0 = 1
b. 〖〖[(-2)〗^4]〗^2 = 256
c. 〖–(3^2)〗^3 = -729
What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-)
10
(-12, -3)
O C. (-9.-11)
(3.-8)
OD. (-:-)
HELP!!!
A car manufacturer collects data on the number of gallons of gasoline left in the gas tank after driving for different numbers of miles. The manufacturer creates a scatter plot of the data and determines that the correlation coefficient is −0.92.
Select each true statement based on this correlation coefficient.
A.) There is a weak correlation between the number of miles driven and the gallons of gasoline left in the tank.
B.) There is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
C.) There is no correlation between the number of miles driven and the gallons of gasoline left in the tank.
D.) There is a linear correlation between the number of miles driven and the gallons of gasoline left in the tank.
E.) There is a strong correlation between the number of miles driven and the gallons of gasoline left in the tank.
The statement that is true about the variables analyzed is that there is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
What is correlation?This refers to the relation or connection between two or more variables. In this case:
Amount of gasolineNumber of milesWhat does -0.92 mean?This has the sign -, which shows the correlation is negative. This implies that as the number of miles increase the amount of gasoline decreases.
Learn more about gasoline in: https://brainly.com/question/12847098
#SPJ1
Miss. Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly. How much will she get after 10 years?
A.18,122
B.18,014
C.17,908
D.17,704
which of the following pairs of equations are perpendicular
Answer:
were are the pairs?
Which of the following represents the solution to the inequality
Answer:
the question?
Step-by-step explanation:
 The angle of elevation to a nearby tree from a point on the ground is measured to be 65°. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a
foot if necessary.
Answer:
197.3 feet
Step-by-step explanation:
197.295 rounded to the nearest hundredth is 197.30 or 197.3
The height of the tree if the point on the ground from the tree is 92 feet will be 197.29 feet.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.
The angle of elevation to a nearby tree from a point on the ground is measured to be 65°.
The height of the tree if the point on the ground from the tree is 92 feet. Then we have
Let h be the height of the tree. Then we have
[tex]\tan 65^o = \dfrac{h}{92}\\\\ 2.1445\ = \dfrac{h}{92}[/tex]
Then we have
[tex]\rm h = 2.1445 \times 92\\\\h = 197.29\ ft[/tex]
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Which multiplication expression can be used to check this division problem:
2/5 ÷ 4/15 = 3/2
° 2/5 × 4/15
° 3/2 × 4/15
° 3/2 × 15/4
° 5/2 × 15/4
Answer:
° 3/2 × 4/15
Step-by-step explanation:
for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.
What is the range of f(x)=4^x
Answer:
B
Step-by-step explanation:
At - infinity, the function will tend to 0 and at +infinity, the function will tend to +infinity. Those are the two extremas of the function and extremas define the range. Range is all positive real number
A car travels 600 km in 6 hours. at what rate of speed is the car traveling?
Step-by-step explanation:
100Km/hours......V/T
Which represents the polynomial below written in standard form?
1 - 3х + 4х2 + ()
4x2-3x+1
represents the polynomial below written in standard form
in a survey 50% like cold drinks 30% like hot drinks and 40% like juice. Likewise 20% of them like cold and hot drinks 18% like cold drinks and juice, 12% like hot drinks and juice and 5% like all three drinks. represent the above information in a venn diagram and find the percent of people who like:
i) at least one of the drinks
ii) exactly two types of drinks
iii) exactly one type of drink
iv) none of the drinks
Answer:
Step-by-step explanation:
C -> Percentage of people who take cold drinks
H -> Percentage of people who take hot drinks
J - > Percentage of people who take Juice
i) At least one of drinks = 17 + 3 +15 +18 +7 + 15 + 5 = 75%
ii) Exactly two types of drinks = Percentage of people who take cold and hot drinks + Percentage of people who take cold and Juice + Percentage of people who take hot drinks and Juices
= 15 + 13 + 7
= 35%
iii) Exactly one type of drink = Percentage of people who take only cold drinks + Percentage of people who take only hot drinks + Percentage of people who take only juices
= 17 + 3 + 15
= 35%
iv) None of the drinks = Total percentage - at least one of the drinks
= 100 - 75
= 25%
Find f(-3) for f(x) = 4(2)^x
O A. -32
O B. 1/2
O C. -24
O D. 1/8
Answer:
B. 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4(2)ˣ
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-3) = 4(2)⁻³Exponents: f(-3) = 4(1/8)Multiply: f(-3) = 1/2A triangle has an area of 18ft squared. List all the possible positive integers that could represent its base and height. Use sentences to describe your process.
Answer:
1ft x 36ft
2ft x 18ft
3ft x 12ft
4ft x 9ft
6ft x 6ft
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
Area of a triangle = 1/2 x base x height
If area is 18ft², then the dimensions of base x height = 18 x 2 = 36
all the possible positive integers that could represent its base and height can be determined be known by determining the factors of 36
factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36
Possible dimensions of base and heights are :
1ft x 36ft
2ft x 18ft
3ft x 12ft
4ft x 9ft
6ft x 6ft
Which table of values could be generated by the equation 10x+5y=15? (Will give brainlest and 21 points)
Answer:
(For the image) A
Step-by-step explanation:
Find the measure of the missing angle using the exterior angle sum theorm.
Answer:
95 degrees
Step-by-step explanation:
First find the angles within the triangle. 180 - 43 - 52 = 85, so the missing angle within the triangle is 85. The exterior angle would be supplementary to that, so 180 - 85 = 95.
The measure of the angles of a triangle are 34 degrees and 45 degrees. What is the measure of the third angle
The ratio of flour to water is 2 to 1 for biscuits Is Lisa has 4 cups of flour how much water should she add to make biscuits
Answer:
she should add 2 cups of water.
Step-by-step explanation:
2 : 1 = 4 : 2
This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.
Answer:
A = 18 units²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h ( b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
By counting squares
h = 3, b₁ = 3, b₂ = 9 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 9) = 1.5 × 12 = 18 units²
what is 3x10x178 I need help asap
Answer:
3x10=30 30x178=5,430
Step-by-step explanation:
[tex]3 \times 10 \times 178 \\ 30 \times 178 \\ 5340 \: \: answer[/tex]
Find the length of side BC give your answer to three significant figures
Answer:
19.4 cm
Step-by-step explanation:
Hi there!
This is a right triangle. We're given an angle, the side adjacent to the angle and we're solving for the hypotenuse. Given this information, we can use the cosine ratio:
[tex]cos\theta=\frac{adj}{hyp}[/tex]
Plug in the given angle and side
[tex]cos71=\frac{6.3}{BC}\\BC=\frac{6.3}{cos71} \\BC=19.4[/tex]
Therefore, the length of BC is 19.4 cm when rounded to 3 significant figures.
I hope this helps!
what is the cosine of 122.2
cosine 122.2 = -0.532876276......
