Answer:true
Step-by-step explanation:
Using the graph, determine the coordinates of the x-intercepts of the parabola.y1098765432-11-10-9-826-736 -54-4 -3859107-1-2।
We are asked to determine the coordinates of the x-intercepts of the parabola.
Recall that the x-intercepts are the points where the graph intersects the x-axis.
As you can see from the graph, there are two such points where the graph intersects the x-axis.
Let us identify these two points.
As you can see, the graph crosses the x-axis at (-6, 0) and (-2, 0)
Therefore, the coordinates of the x-intercepts of the parabola are
[tex](-6,0)\quad and\quad (-2,0)[/tex]use the properties of equality to simplify the equation. Tell whether the final equation is a true statement.3x + 45 = 11x - 11
At a hot air balloon festival, Natalie made note of how many passengers were in each balloon and the color of each balloon. 1 passenger 2 passengers Blue 11 19 Yellow 0 22 Green 22 3 Orange 4 13 What is the probability that a randomly selected hot air balloon contains 2 passengers or is not green? Simplify any fractions.
We will have the following:
*The probability of a selected air ballooncontaining 2 passengers:
[tex]p=\frac{19+22+13}{19+22+3+13+11+0+22+4}\Rightarrow p=\frac{27}{47}\Rightarrow p=0.5744680851\ldots[/tex]So, the probability of the air balloon containing 2 or not being green is approximately 57%.
which answer choice shows the numbers in order from least to greatest
The easiest way to know the smallest and highest number is to convert the fractions to decimal. Therefore,
[tex]\begin{gathered} -\frac{1}{2}=-0.5 \\ \frac{7}{12}=0.58333333333 \\ -\frac{2}{3}=-0.66666666666 \\ -0.45 \\ 0.82 \\ \text{The least to greatest is } \\ -\frac{2}{3},-\frac{1}{2},-0.45,\frac{7}{12},0.82 \end{gathered}[/tex]Find the value of x for the figure, given the perimeter.P= 35хXx+5
Given that:
Perimeter = 35
and the length of sides of the triangle are x, x, and x+5.
Perimeter is the sum of the length of all sides.
So, here
[tex]\begin{gathered} 35=x+x+x+5 \\ =3x+5 \\ 3x=30 \\ x=10 \end{gathered}[/tex]Thus, the value of x is 10.
what two forms of energy do we get from the Sun
The Sun provides energy to us in form of radiation as electromagnetic waves, which is obtained as light and heat.
Hence, the answers are light and heat.Of the 75 teachers at a school, 20 teach math. Around what percent ofthe teachers at the school teach math?
the percent of x out of n is given by
[tex]\frac{x}{n}\times100\text{ \%}[/tex]In this case,
[tex]x=20,n=75[/tex]Therefore,
[tex]\frac{20}{75}\times100\text{ \%}=\frac{4}{15}\times100\text{ \%}=\frac{400}{15}\text{ \%}=\frac{80}{3}\text{ }\approx27\text{ \%}[/tex]Hence, the percent of the teachers at the school teach math 27 %
i just need help finding the missing statement and reason
The missing statement is,
[tex]\Delta ABD\cong\Delta BCD[/tex]Reason,
[tex]\text{Side Angle Side (SAS)}[/tex]solve the given question Divide Rs 400 in ratio of 1:3
In order to divide the segment RS in a ratio of 1:3, let's divide it by 4, this way we can use 1 part to the left and 3 parts to the right:
Dividing the length by 4, we have:
[tex]\frac{400}{4}=100[/tex]That means we can use a point X on the segment RS, where RX = 100 and XS = 300.
find the volume where one of its sides is 7ft and the Area of base is 18ft*2.
A company is selling toothpicks. It costs $0.03 to produce each toothpick and a fixed cost of $100 a month for the company. If the company is selling toothpicks for $0.05 each, how many toothpicks must they sell a month in order to break-even?
5,000 toothpicks must be sold in order to break even.
How many toothpicks sell?Numerous aspects of business and finance make use of break-even points. It is the production level where total production revenue and total production costs are equal in accounting terms. The break-even point in investing is the point at which the purchase price is equal to the market price.
Here, let's assume that m toothpicks must be sold to break even = m
So, for m toothpicks, Total cost = Total Earnings
Currently, the price to produce 1 toothpick is $0.03
So, cost of production of m toothpicks = m x ( cost of 1 toothpick)
= $(0.03 m)
Also, fixed month cost = $100
So, Total cost of production = $100 + $0.03 m .... (1)
Again, the selling cost of 1 toothpick = $0.05
So, selling cost of m toothpicks = m ( cost of 1 toothpick) = $(0.05 m) ..(2)
From (1) and (2)
100 + 0.03 m = (0.05 m)
⇒ 100 = 0.02 m
or, m = 100/0.02
⇒ m = 5000
Therefore 5,000 toothpicks must be sold in order to break even.
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Two triangles are shown below. Which statement is sufficient to prove that AACB ~ARTS ? AB AC 1 BA BC CA TR LA ZR, ZB ZT AC RT 1 AB RS 6 RT RS SR ST
For both triangles to be similar, the corresponding sides of both triangles are always in the same ratio.
So for the corresponding sides:
1) BA ans SR, the ratio will be
[tex]\frac{BA}{SR}[/tex]2)AC and RT, the ratio will be
[tex]\frac{AC}{RT}[/tex]3) BC and ST, the ratio will be
[tex]\frac{BC}{ST}[/tex]As mentioned above, the ratio between corresponding sides is always the same so that, if the triangles are simmilar the we know that:
[tex]\frac{AB}{RS}=\frac{BC}{ST}=\frac{AC}{RT}[/tex]The correct option is the first one.
The Sanchez Family pays $1,975 per month to rent a four-bedroom house. They are planning to buy a house and make monthly payments of $2,590. If the cost of movingwas $545, find their additional cost for housing the first year.$6,850$7,925$7,380$8,175None of these choices are correct.
Determine the additional cost of housing for a month.
[tex]2590-1975=615[/tex]Determine the additional cost of housing for a year.
[tex]12\cdot615=7380[/tex]The moving charge is 545
Question 51?Use the graph shown here to find the value indicated?
You have to find:
[tex](f+g)(-2)[/tex]Notice that the Linear Function f(x) and the Linear Function g(x) must be added, in order to find:
[tex](f+g)(x)[/tex]Then, analyzing the graph, you can identify that:
Notice that, when:
[tex]\begin{gathered} f(-2)=3 \\ g(-2)=1 \end{gathered}[/tex]Therefore:
Hence, the answer is:
[tex](f+g)(-2)=4[/tex]Kinsey is planning to spend all of the money she received for her birthday on clothing and/or electronics. she wants to represent how she could spend the money on a graph. Which of these describes appropriate labels for the axes of kinseys graph
D. total dollars spent on clothing and electronics on the x-axis and birthday dollars left on the y-axis.
The independent variable (x) is the money spent on clothing and/or electronics. This affects the dependent variable (y) which is Birthday dollars left.
I want to know each function graph below, state whether it is one to one
Answer:
Explanation:
The question is: Select all the options that are true about the area and perimeter of the park( round the area to the nearest 100 and the perimeter to the nearest 10 feet). The answers: A: The area of the park is 3200 square feet B: The area of the park is 3400 square feet C: The area of the park is 4400 square feet D: The perimeter of the park is 240 feet E: The perimeter of the park is 250 feet F: The perimeter of the park is 300 feet
Given:
The rectangle is shown in the figure with length= 8 units
and breadth=4 units
This you can get from the graph since, length can be calculated horizontally as we are going from (-9,0) to (-1,-2) and similarly we can calculate the breadth vertically as we are going from (-9,0) to (-8,4).
So the length = 8 units or grids and breadth = 4 units or grids.
Now, the area of the park is given by:
[tex]\text{Area}=\text{length}\times breadth[/tex]Substituting the value, we get:
[tex]\begin{gathered} A\text{rea}=8\times4 \\ =32\text{ grids} \end{gathered}[/tex]Since, in the question we are given that each grid is of 100 square feet so we will multipy the number of grids of area by 100 to get the whole area.
Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 20.
Given:
probability = p = 0.75
sample size = no. of peas = n = 20
A.) The mean of a binomial distribution is the product of the sample size n and the probability p.
[tex]\text{ }\mu\text{ = np}[/tex]We get,
[tex]\text{ }\mu\text{ = \lparen20\rparen\lparen0.75\rparen = 15}[/tex]Therefore, the mean is 15.
B.) The standard deviation of a binomial distribution is the square root of the product of the sample size, n, and the probability, p.
[tex]\text{ }\sigma\text{ = }\sqrt{npq}\text{ = }\sqrt{np(1\text{ - p\rparen}}[/tex]We get,
[tex]\text{ }\sigma\text{ = }\sqrt{20(0.75)(1\text{ - 0.75\rparen}}[/tex][tex]\text{ }\sigma\text{ = 3.75}[/tex]Therefore, the standard deviation is 3.75
-3(4-2v)=6v-12one solution,no solution, infinitely many solutions
-3 (4-2v) = 6v-12
Apply distributive property
-3(4)-3(-2v) = 6v-12
-12+6v = 6v-12
Combine like terms:
-12+12 = 6v-6v
0=0
infinitely many solutions
Americans consume 340 million pounds of apples a year. They consume 73 milling pounds during Thanksgiving week alone. What percent of America’s apple consumption is attributed to Thanksgiving?
Given:
Total of apples consumed in a year = 340 million pounds.
Total of apples consumed in Thanksgiving week = 73 million pounds.
Hence:
Percentage is given by:
[tex]\%=\frac{portion}{total}\times100\%[/tex]So:
[tex]\%=\frac{73}{340}\times100=21.47\%[/tex]ANSWER
21.47% of the America’s apple consumption is attributed to Thanksgiving
Which of the following degree angle measures is equivalent to
The correct option is B
Explanation:[tex]\sin^{-1}(-0.331)=-19.3^o[/tex]find h(x-2) h(x)= 2x^2 - 3x
Answer:
The function h(x-2) is;
[tex]h(x-2)=2x^2-11x+14[/tex]Explanation:
We want to find the value of h(x-2) if the function h(x) is;
[tex]h(x)=2x^2-3x[/tex]We can derive the function h(x-2) by substituting/replacing x with x-2;
[tex]\begin{gathered} h(x)=2x^2-3x \\ h(x-2)=2(x-2)^2-3(x-2) \\ h(x-2)=2(x-2)(x-2)-3(x-2) \\ h(x-2)=2(x^2-2x-2x+4)-3(x-2) \\ h(x-2)=2(x^2-4x+4)-3(x-2) \\ h(x-2)=2x^2-8x+8-3x+6 \\ h(x-2)=2x^2-8x-3x+6+8 \\ h(x-2)=2x^2-11x+14 \end{gathered}[/tex]The function h(x-2) is;
[tex]h(x-2)=2x^2-11x+14[/tex]1. The combined ages of three relatives is 120 years. James is three times the age of Don, and Poul is 20 years less than the age of Don. How old is each person? Variables: 111 N System: System in standard form: Augmented Matrix: James age dans age pauls age
Jame´s age = 84
Poul´s age=8
Don's age = 28
Explanation
Step 1
Let
x represents the age of James
y represents the age of Poul
z represents the age of Don
then
The combined ages of three relatives is 120 years.,it is
[tex]x+y+z=120\text{ Equation(1)}[/tex]James is three times the age of Don, it is
[tex]\begin{gathered} x=3z\text{ Equation(2)} \\ x-3z=0 \end{gathered}[/tex]Poul is 20 years less than the age of Don,it is
[tex]\begin{gathered} y=z-20 \\ \end{gathered}[/tex][tex]\begin{bmatrix}{1} & {1} & {1} \\ {1} & {0} & {-3} \\ {0} & {1} & {1}\end{bmatrix}\begin{bmatrix}{x} & {} & {} \\ {y} & {} & {} \\ {z} & {} & {}\end{bmatrix}=\begin{bmatrix}{120} & {} & {} \\ {0} & {} & {} \\ {-20} & {} & {}\end{bmatrix}[/tex]Step 2
find x, y and z
a) replace equation (2) and (3) in equation (1)
[tex]\begin{gathered} x+y+z=120 \\ 3z+z-20+z=120 \\ 5z=120+20 \\ z=\frac{140}{5} \\ \\ z=28 \\ \end{gathered}[/tex]
b)replace the value of z in equation (2) to find x
[tex]\begin{gathered} x=3z \\ x=3\cdot28 \\ x=84 \end{gathered}[/tex]c) finally, replace the value o z in equation (3) to find y
[tex]\begin{gathered} y=z-20 \\ y=28-20 \\ y=8 \end{gathered}[/tex]I hope this helps you
Is 8+1 greater than 7?
the answer is no. As 8+1=9, which is greater than 7, 8+1 can not be greater than 7.
Suzanne has 1,500 to spend on dining chairs each chairs cost $185 how much money will she have left if she buys a dining chairs. 8 dining chairs
Answer:
$20
Explanation;
Given
Total amount Suzanne has = $1500
If amount spent on a chair is $185, amount apent on 8 chairs will be (8*185) = $1480
Amount she has left = Amount she has - Amount spent
Amount she has left = $1500 - $1480
Amount she has left = $20
Hence she wll have $20 left if she buys a dining chair
How can we find different ways to present algebraic equations without changing their meaning
The Solution.
An Algebraic Equation can be defined as a mathematical statement that involves the following:
i. At least a letter ( an unknown)
ii. At least a number
iii. And an equality sign (i.e =)
An algebraic equation can be presented in any of the following ways without changing its meaning:
1. When you interchange an equation. For example, supoose the original equation is 2y+1 =6, when interchanged we get, 6=2y+1
So, 2y+1=6 has the same meaning as 6=2y+1
2. When you multiply through an initial equation by a positive or negative quantity( that is, mltiply both sides by a quantity). For example,
2y+1=6 has the same meaning as 2(2y+1)=2(6)
3. When you divide both sides of an equation by a quantity, the initial equation remain unchanged. For example,
[tex]\begin{gathered} \frac{(2y+1)}{4}=\frac{6}{4}\text{ is the same as} \\ \\ 2y+1=6 \end{gathered}[/tex]4. If you add or subtract same quantity from both sides, the initial equation still remains the same. For example,
[tex]\begin{gathered} 2y+1-5=6-5\text{ is the still the same as} \\ 2y+1=6 \end{gathered}[/tex]Find the slope between points(2,4)(1,3)
Using the formula for slope,
[tex]m=\frac{4-3}{2-1}\rightarrow m=\frac{1}{1}\rightarrow m=1[/tex]what percent of 72 is 68.4
72 --- 100%
68.4 --- x
x is the percentage
[tex]undefined[/tex]95 percent of the number 72 is 68.4.
The given numbers are 72 and 68.4.
Let x percent of 72 is 68.4
Here, x% of 72 =68.4
x/100 ×72 =68.4
72x/100=68.4
72x=6840
x=6840/72
x=95
So, it is 95%
Therefore, 95 percent of the number 72 is 68.4.
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Identify all values of x that make the equation true.a. 2x+1/x=1/x-2b. 1/x+2=2/x-1c. x+3/1-x=x+1/x+2d. x+2/x+8=1/x+2
Given:
a)
[tex]\begin{gathered} \frac{2x+1}{x}=\frac{1}{x-2} \\ (2x+1)(x-2)=x\times1 \\ 2x^2-4x+x-2=x \\ 2x^2-4x-2=0 \\ \text{Use quadratic formula: ax}^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-\left(-4\right)\pm\sqrt{\left(-4\right)^2-4\cdot\:2\left(-2\right)}}{2\cdot\:2} \\ x=\frac{-\left(-4\right)\pm\:4\sqrt{2}}{2\cdot\:2} \\ x=1+\sqrt{2},\: x=1-\sqrt{2} \end{gathered}[/tex]b)
[tex]\begin{gathered} \frac{1}{x+2}=\frac{2}{x-1} \\ x-1=2(x+2) \\ x-1=2x+4 \\ x=-5 \end{gathered}[/tex]c)
[tex]\begin{gathered} \frac{x+3}{1-x}=\frac{x+1}{x+2} \\ (x+3)(x+2)=(x+1)(1-x) \\ x^2+2x+3x+6=1-x^2 \\ 2x^2+5x+5=0 \\ \text{Use quadratic formula,} \\ x=\frac{-5\pm\sqrt{5^2-4\cdot\:2\cdot\:5}}{2\cdot\:2} \\ x=\frac{-5\pm\sqrt{15}i}{2\cdot\:2} \\ x=\frac{-5+\sqrt{15}i}{2\cdot\:2},\: x=\frac{-5-\sqrt{15}i}{2\cdot\:2} \\ x=-\frac{5}{4}+i\frac{\sqrt{15}}{4},\: x=-\frac{5}{4}-i\frac{\sqrt{15}}{4} \end{gathered}[/tex]d)
[tex]\begin{gathered} \frac{x+2}{x+8}=\frac{1}{x+2} \\ (x+2)(x+2)=(x+8) \\ x^2+4x+4=x+8 \\ x^2+3x-4=0 \\ x^2-x+4x-4=0 \\ x(x-1)+4(x-1)=0 \\ (x-1)(x+4)=0 \\ x-1=0,x+4=0 \\ x=1,-4 \end{gathered}[/tex]evaluating linear functionsfor f(x) = 1/3x - 2, determine:a, f(9)b, f(-1)c,f(0)
Given the function:
[tex]\text{ f(x) = }\frac{1}{3}\text{x - 2}[/tex]Let's evaluate,
a.) f(9) : It means that we will substitute all x in the equation by 9.
We get,
[tex]\text{ f(x) = }\frac{1}{3}\text{x - 2}[/tex][tex]\text{ f(9) = }\frac{1}{3}(9)\text{ - 2}[/tex][tex]\text{ = }\frac{9}{3}\text{ - 2}[/tex][tex]\text{ = 3 - 2}[/tex][tex]\text{ f(9) = 1}[/tex]Therefore, f(9) = 1.
b.) f(-1) : It means that we will substitute all x in the equation by -1.
We get,
[tex]\text{ f(x) = }\frac{1}{3}\text{x - 2}[/tex][tex]\text{ f(-1) = }\frac{1}{3}(-1)\text{ - 2}[/tex][tex]\text{ = -}\frac{1}{3}-2[/tex][tex]\text{ = -}\frac{1}{3}\text{ - }\frac{6}{3}\text{ = }\frac{-1\text{ - 6}}{3}[/tex][tex]\text{ f(-1) = -}\frac{7}{3}[/tex]