Answers
To find the x-intercepts, equate the function with zero as follows:
[tex]\begin{gathered} f(x)=0 \\ -16x^2+25x+10=0 \\ x=\frac{-25\pm\sqrt[]{(25)^2-4\times10\times-16}}{2\times-16} \\ x=\frac{-25\pm\sqrt[]{625+640}}{-32} \\ x=\frac{-25\pm35.5668}{-32} \\ x=-0.3302,1.8927 \end{gathered}[/tex]Hence the intercepts are -0.3302 and 1.8927
The intercepts are at points (-0.3302,0) and (1.8927,0)
Related Questions
You are purchasing a snack at the store for $3.50. The sales tax is 6%. How much is the sales tax?
Answers
price = $3.50
Sale tax = 6%
Multiply the price by the tax percentage in decimal for ( divided by 100)
3.50 x (6/100) = 3.50 x 0.06 = $0.21
I thought this answer was the sixth root, cubed, value of 16. But I am not sure so I need help with the question
Answers
In order to find the correct options, we need to know the following property:
[tex]a^{\frac{b}{c}}=\sqrt[c]{a^b}[/tex]So, rewriting the expression 243^(3/5), we have:
[tex]243^{\frac{3}{5}}=\sqrt[5]{243^3}[/tex]That is, 243^(3/5) is the 5th root of 243 cubed. Its value is:
[tex]\sqrt[5]{243^3}=\sqrt[5]{14348907}=27[/tex]Noah has a coupon for 30% off at his favorite clothing store he uses it to buy hitting and a pair of jeans Noah paid $28 for jeans after using the coupon what is the regular price of the jeans
Answers
$28 after 30% off
28 = regular price * (100 - 30)/100
28 = regular price * 70/100
28 = regular price *0.70
regular price = 28/0.70 = 40
Answer:
Regular price = $40
Type the correct answer in each box. Use numerals instead of words.Consider the quadratic equation x2 + 10x + 27 = 0.Completing the square leads to the equivalent equation (x +__ )^2 = __
Answers
Given:
[tex]x^2+10x+27=0[/tex]Required:
To complete the square that leads to the equivalent equation (x +__ )^2 = __.
Explanation:
Consider
[tex]\begin{gathered} x^2+10x+27=0 \\ \\ x^2+10x+25+2=0 \\ \\ x^2+10x+25=-2 \\ \\ x^2+5x+5x+25=-2 \\ \\ x(x+5)+5(x+5)=-2 \\ \\ (x+5)(x+5)=-2 \\ \\ (x+5)^2=-2 \end{gathered}[/tex]Final Answer:
[tex](x+5)^{2}=-2[/tex]explain two ways to evulate 32(16-6)
Answers
There are two ways to evaluate the expression:
32(16 - 6)
WAY 1
Evaluate the expression in the bracket first, then multiply the result by the content outside the bracket.
32(10)
= 320
WAY 2
Remove the bracket straight, without simplifying the content inside the bracket by multiplying 32 by each element in the bracket.
32*16 - 32*6
= 512 - 192
= 320
And those are the two ways.
Which of the following natural phenomena follows an elliptical motion?Question content area bottomPart 1Choose the correct answer below.A.A ball thrown from one person to anotherB.The path of marbles when rebounding from a curved surfaceC.Sound wavesD.The motion of the planets around the sun
Answers
The natural phenomena that follows an elliptical motion is:
D.
The motion of the planets around the sun
Determine the slope by using the slope formula and add two points on the line check your answer by drawing a right triangle and labeling the rise and run right numbers in simplest form select undefined if Applicable
Answers
Answer:
The slope is -2
Explanation:
The slope can be calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x1, y1) and (x2, y2) are the coordinates of two points in the line.
Replacing (x1, y1) by ( 0, -1) and (x2, y2) by (1, -3), we get:
[tex]m=\frac{-3-(-1)}{1-0}=\frac{-3+1}{1}=\frac{-2}{1}=-2[/tex]Now, we can check the answer using the following drawing
Since rise over run is also equal to 2/(-1) = -2. We can say that the slope is -2.
five hundred twelve thousandths decimal form
Answers
The first step to answer this question is to write the fraction for the given sentences.
Five hundred twelve thousandths is:
[tex]\frac{512}{1000}[/tex]To write it as a decimal, solve the quotient:
[tex]\frac{512}{1000}=0.512[/tex]The answer is 0.512.
Determine which relation is a function.Question 1 options: {(–3, 2), (–1, 3), (–1, 2), (0, 4), (1, 1)} {(–3, 2), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 3), (–2, 3), (–1, 1), (0, 4), (0, 1)} {(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
Answers
Answer
{(–3, 2), (–2, 3), (–1, 2), (0, 4), (1, 1)}
Step-by-step explanation
The options have the form:
[tex]\lbrace(input_1,output_1),(input_2,output_2),...\rbrace[/tex]In a function, every input can be related to only one output.
In the case of the first option, the input -1 is related to two outputs, 3 and 2, then it is not a function.
In the case of the second and third options, the input 0 is related to two outputs, 4 and 1, then they are not a function.
Please help answer the questions 1-6
Answers
The equations for each slope - intercept pair are discussed below.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept
Given are the slopes and [y] intercepts of some lines.
We can write the equation for each pair as discussed above in the general equation.
[1] → The equation of the straight line with slope [m] = -3 and y- intercept
[c] = 4 will be → y = -3x + 4.
[2] → The equation of the straight line with slope [m] = 0 and y- intercept
[c] = 0 will be → y = 0.
[3] → The equation of the straight line with slope [m] = 7/3 and y- intercept [c] = 3 will be → y = 7/3x + 3.
[4] → The equation of the straight line with slope [m] = -1/2 and y- intercept [c] = 5 will be → y = -1/2x + 5.
[5] → The equation of the straight line with slope [m] = -1/4 and y- intercept [c] = 4 will be → y = -1/4x + 4.
[6] → The equation of the straight line with slope [m] = -4/3 and y- intercept [c] = 1 will be → y = -4/3x + 1.
Therefore, the equations for each slope - intercept pair are discussed above.
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Round 36,236 to the nearest ten thousand
Answers
We have to round the number 36,236 to the nearest ten thousand (10,000).
Then, the number 36,236 is between 3 and 4 ten thousands. As 36,236 is over 35,000 we round it to 40,000.
Answer: 40,000
TELL ANSWER ASAP PLS WHAT IS 15.5 MULTIPLIED BY 3.75??????
Answers
Multiplied by 15.5 to 3.75 is 58.125.
To solve the:
15.5 is multiplied by 3.75
Now,
15.5 × 3.75
= 58.125
What is the process of Multiplication ?
Multiplication is the process of calculating the total of one number multiplied by another. There will be simple tests in addition, subtraction, multiplication and division. 2. uncountable noun. The multiplication of things of a particular kind is the process or fact of them increasing in number or amount.
Hence, Multiplied by 15.5 to 3.75 is 58.125.
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What is the opposite of the given number?-10.1
Answers
According to the given data we have the following number:
-10.1
Therefore, the opposite of this given number would be the number 10.1
Instead of -10.1 the opposite would always be with the contrary sign. In this case is the opposite is a positive number.
In this case is -10.1. but for example if we the have to find the opposite number of 1 that would be the -1.
All real number would have and opposite number, except for the number 0.
turn 5 7/10 into a decimal and a percent
Answers
It is a mixed number:
[tex]5\frac{7}{10}[/tex]THe whole part, 5, is going to stay 5.
Now, let's work with the fractional part.
7/10 into a decimal would require for division.
7 divided by 10 is 0.7
Thus,
IN Decimal, it will be "5.7"
To find percentage from decimal, we multiply by 100 and tag along a % sign.
So,
[tex]5.7\cdot100=570[/tex]The number, in percentage, is 570%
Answer this question and show me how to check it
Answers
We write numbers that are very small or very large in standard form. Any number that we can write as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form
Given that the length and thickness as
[tex]\begin{gathered} l=8\times10^4 \\ t=5\times10^{-6} \end{gathered}[/tex]The ordinary form of the wire is
[tex]\begin{gathered} l=8\times10^4m=8\times10000m=80000m \\ t=5\times10^{-6}m=5\times\frac{1}{1000000}m=0.000005m \end{gathered}[/tex]From the defination of standard form, taking the length, 8 is a number between 1.0 and 10.0 and 10⁴m is a power of 10.
Also, the width, 5 is a number between 1.0 and 10.0 and 10 ⁻⁶ is a power of 10.
Hence, the standard form of the length and thickness of the wire is
length = 8.0 x 10⁴m
thickness = 5.0 x 10 ⁻⁶m
Find the mean: 16,12,15,10,7,916
Answers
You can calculate the mean by using the formula:
Mean=sum of values/number of values
Then,
[tex]undefined[/tex]true or false16. The y-intercept of the equation, = −7^2 + 11 − 12 is 12
Answers
For us to be able to determine if it is true or false, let's evaluate the given equation:
[tex]\text{ y = -7x}^2\text{ + 11x - 12}[/tex]In order to find the y-intercept of a function, we substitute x equals to 0. A y-intercept always has an x-coordinate of 0.
Thus, we get,
[tex]\text{ y = -7x}^2\text{ + 11x - 12}[/tex][tex]\text{ y = -7(0)}^2\text{ + 11(0) - 12}[/tex][tex]\text{ y = -7(0)}^{}\text{ + 0 - 12 = 0 + 0 - 12}[/tex][tex]\text{ y = -12}[/tex]The y-intercept of the given equation is -12.
Therefore, the answer is FALSE.
Using the area formula A=LW (where A is the area L is the length and W is the width ) which of the following formulas would you use to solve for width ?
Answers
Answer:
W = A/L
Step-by-step explanation:
We are given the following formula:
A = LW
We want to solve for the width W. So
LW = A
L multiplies W, so it can go to the other side of the equality dividing. Then:
W = A/L
Which of the following is the solution to the compound inequality below?5 + x>3or6x +1 -29O A. x2 - 7or14X<-3O B. *)-2orx 5C. x22 or x<5OD. x 814or X-3O
Answers
we will need to solve the first inequality,
5+x>=-3 , we will subtract -5 from both sides and the solution is
x>=-2
for the second inequality
6x+1<-29, we will subtract 1 from bothe sides and get
x<-5
is your choice B
Describe 4 types of Quadrilaterals
Answers
Answer:
Parallelograms, Squares, Rectangles, and Rhombuses
Step-by-step explanation:
Find the equation for the line that passes through the points (-9, 8) and (-4,-4). Give youranswer in point-slope form. You do not need to simplify.
Answers
Given:
The points are (-9,8) and (-4,-4).
Required:
We need to find the line equation in point-slope form.
Explanation:
Consider the slope equation.
[tex]slope,\text{ m=}\frac{y_2-y_1}{x_2-x_1}[/tex][tex]Substitute\text{ }y_2=-4,y_1=8,x_2=-4,\text{ and }x_1=-9\text{ in the formula to find the slope of the equation.}[/tex][tex]Slope,\text{ m=}\frac{-4-8}{-4-(-9)}[/tex][tex]Slope,\text{ m=}\frac{-12}{-4+9}[/tex][tex]Slope,\text{ m=}\frac{-12}{5}[/tex]Consider the point (-9,8).
Consider the point-slope form of the equation.
[tex](y-y_1)=m(x-x_1)[/tex][tex]Substitute\text{ }m=-\frac{12}{5},y_1=8,\text{ and }x_1=-9\text{ in the equation.}[/tex][tex](y-8)=-\frac{12}{5}(x-(-(-9))[/tex][tex](y-8)=-\frac{12}{5}(x+9)[/tex]Final answer:
[tex](y-8)=-\frac{12}{5}(x+9)[/tex]2) A seat has a speed of 15 mph in seicher travels downstream from Greentown to Glenevon in 2/5 of an hour. It then goes back upstream from Glenevon to Colombia, which is 2 miles downstream, in 3/5 of an hour. Find the rate of the current.
Answers
Rate of the current = 5 mph
Explanations:The time taken to travel downstream from Greentown to Glenevon = 2/5 hours
The time taken to travel upstream from Glenevon to Columbia = 3/5 hours
Rate = Distance /time
Let the distance traveled = y miles
Rate of the downstream travel:
Rate = y ÷ 2/5
Rate = y x 5/2
Rate = 5y / 2
Rate of the upstream travel
Since the travel upstream from Glenevon to Columbia is 2 meters downstream:
Distance = y - 2
Rate = (y-2) ÷ 3/5
Rate = (y-2) x 5/3
Rate = 5(y-2)/3
Let the current rate be represented by k
The rate of the downstream travel will be:
15 + k = 5y/2...........(1)
The rate of the upstream movement will be:
15 - k = 5(y-2)/3............(2)
Add equations (1) and (2)
(15 + k) + (15 - k) = [5y/3] + [5(y-2)/3]
[tex]\begin{gathered} 30\text{ = }\frac{5y}{2}+\text{ }\frac{5y-10}{3} \\ 30\text{ = }\frac{15y+10y-20}{6} \\ 30(6)\text{ = 15y + 10y - 20} \\ 180\text{ = 25y - 20} \\ 180\text{ + 20 = 25y} \\ 25y\text{ = 200} \\ y\text{ = 200/25} \\ y\text{ = 8} \end{gathered}[/tex]Substitute the value of y into equation (1)
[tex]\begin{gathered} 15\text{ + k = }\frac{5y}{2} \\ 15\text{ + k = }\frac{5(8)}{2} \\ 15\text{ + k = }\frac{40}{2} \\ 15\text{ + k = 20} \\ k\text{ = 20 - 15} \\ k\text{ = 5} \end{gathered}[/tex]The rate of the current = 5 mph
Find the equation line parallel y=(-4/5)x+12 passing through (-6,2)
Answers
So we want to find the equation of a line parallel to
[tex]y=-\frac{4}{5}x+12[/tex]Passing through the point (-6,2).
First, remember that a line is parallel to other if their slopes are the same.
Then, the slope of our parallel line will be also -4/5.
Remember that a line has the following equation:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
Now, we know that the parallel line has slope = -4/5 and passes through the point (x,y) = (-6,2), so we could replace in our previous equation as follows:
[tex]\begin{gathered} 2=-\frac{4}{5}(-6)+b \\ 2=\frac{24}{5}+b \\ b=2-\frac{24}{5} \\ b=-\frac{14}{5} \end{gathered}[/tex]Therefore, the equation of the parallel line to y=(-4/5)x+12 passing through (-6,2) is:
[tex]y=-\frac{4}{5}x-\frac{14}{5}[/tex]
Elsie is moving to iowa city iowa, with her three-year-old daughter. The table shows the results of a family budget estimator for iowa City for Elsie and her daughter."If Elsie earns $45,000 per year at her new job, can she stay on budget in lowa City? A. Yes, because she can easily afford $4020 per month.B. Yes, because she will not actually need all the items that the family budget estimator includes. C. No, because she will only make $3750 per month before taxes are taken out. D.No, because she will not be able to find housing as low as $853 per month?
Answers
In order to determine what is the correct statement, calculate the amount of money Elsie can spend per month, based on her earnings per year.
Divide 45,000 by 12:
45,000/12 = 3,750
You can notice that the amount of money Elsie can spend per month is lower than the total expenses shown in the table.
Hence, the correct statement is:
C. No, because she will only make $3750 per month before taxes are taken out.
R'Find the composition of transformationsthat map APQR to APQ'R'.QT RRotate [?] degrees aboutthe origin and then translate(unit(s) [ ].90180
Answers
For a transformation like the one shown in the graph, note that the points have switched as follows;
[tex]P(x,y)\Rightarrow P^{\prime}(-y,x)[/tex]This is a 90 degree anticlockwise rotation about the origin.
That means point P would now be translated as follows;
[tex]\begin{gathered} P(1,1)\Rightarrow P^{\prime}(-1,1) \\ Q(2,1)\Rightarrow Q^{\prime}(-1,2) \\ R(2,3)\Rightarrow R^{\prime}(-3,2) \end{gathered}[/tex]After this rotation, the coordinates have now moved from their position one unit upwards. That now makes the final coordinates;
[tex]undefined[/tex]Analyze the general equation of a linear function, y = mx. No matter what value the constant m has, which pair of numerical values (x, y) always satisfies this mathematical equation? Justify your answer.
Answers
The pair of numerical values (x,y) that always satisfies the mathematical equation of linear equation y = mx is (0,0).
A two-variable linear equation can be thought of as a linear relationship between x and y, or two variables whose values rely on one another.
The slop-intercept form of a linear equation is y = mx + b.
For y = mx, b = 0.
If we put x = 0 in y = mx, y = 0.
Therefore, y = mx line always passes through (0,0) for any value of m because (0,0) always satisfies the equation y = mx.
Hence, (x,y) = (0,0).
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Samuel's family members are choosing numbers to see in what order they will choose gifts. The numbers 1 through 10 are written on pieces of paper. All numbers are equally likely to be chosen. What is the probability that the first person chooses a number less than 3? O A. 10 3 B. 10 2 C. 2 10 O D. 3 10
Answers
Answer:
[tex]\text{Probability}=\frac{2}{10}[/tex]Step-by-step explanation:
Probability is represented by the following expression:
[tex]=\frac{\text{Number of ways it can occur}}{Total\text{ number of outcomes}}[/tex]Then, since there are 2 numbers less than 3:
[tex]\text{Probability}=\frac{2}{10}[/tex]At a company meeting, there were 40 people in attendance. 70% of them were managers. How many managers were in the meeting?
Answers
Question 2(Multiple Choice Worth 2 points)
(01.06 MC)
Simplify 31.
1
0-1
-1
Answers
Answer:
[tex]-i[/tex]
Step-by-step explanation:
Imaginary numbers
Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter [tex]i[/tex].
Given expression:
[tex]i^{31}[/tex]
Rewrite 31 as 30 + 1:
[tex]\implies i^{30+1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies i^{30} \cdot i^1[/tex]
[tex]\implies i^{30}i[/tex]
Rewrite 30 as 2 · 15:
[tex]\implies i^{(2 \cdot 15)}i[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies \left(i^2\right)^{15}i[/tex]
[tex]\textsf{Apply\:imaginary\:number\:rule}\quad \:i^2=-1:[/tex]
[tex]\implies \left(-1\right)^{15}i[/tex]
As -1 to the power of an odd number is -1:
[tex]\implies -1 \cdot i[/tex]
[tex]\implies -i[/tex]
Please help:What are the zeros of the quadratic function?f (z )= 3z^2 − 11z − 4Enter your answers, as simplified fractions if necessary, in the boxes.The zeros of f (z) are __ and __.
Answers
We need to find the zeros for the next function:
[tex]f(z)=3z^2−11z−4[/tex]We can find those zeros using the quadratic formula given by:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]Use the form ax²+bx+x.
Where a=3
b= -11
c=-4
Replacing :
[tex]\begin{gathered} x=\frac{-(-11)\pm\sqrt{(-11)^2-4(3)(-4)}}{2(3)} \\ Simplify \\ x=\frac{11\pm\sqrt{169}}{2\ast3} \\ x=\frac{11\pm13}{2\ast3} \\ Therefore: \\ x_1=\frac{11-13}{6}=\frac{-2}{6}=-\frac{1}{3} \\ x_2=\frac{11+13}{6}=\frac{24}{6}=4 \end{gathered}[/tex]Therefore, the zeros of f (z) are -1/3 and 4.