At what points do these graphs intersect
y=x²-x-6
y=x+2
Answers
Answer:
Solve algebraicallyEliminate y:
x² - x - 6 = x + 2x² - 2x = 8x² - 2x + 1 = 9(x - 1)² = 3²1) x - 1 = 3 ⇒ x = 4 ⇒ y = 62) x - 1 = -3 ⇒ x = -2 ⇒ y = 0The solution is:
(-2, 0), (4, 6)Solve graphicallySee the attached
Answer:
[tex]thank \: you[/tex]
Related Questions
Solve for s
1/3 s = 7
Answers
Answer:
21
[tex] \frac{1}{3} s = 7 \\ s = 7 \times 3 \\ s = 21[/tex]
Please help!
It took Suki 127 minutes from start to finish to carve her pumpkin. Carving the pumpkin took her 13 fewer minutes than 10 times as long as it took her to pick the pumpkin out at the pumpkin patch. Write and solve an equation to find how long it took Suki to pick out her pumpkin.
Answers
9514 1404 393
Answer:
14 minutes
Step-by-step explanation:
Let t represent the time it took Suki to pick out her pumpkin. The given relation is ...
10t -13 = 127 . . . . . equation for minutes to carve
10t = 140 . . . . . . . . add 13
t = 14 . . . . . . . . . . divide by 10
It took Suki 14 minutes to pick out her pumpkin.
The area of rectangle is 36 cm2 and breadth is one fourth of the length.Find length and breadth of rectangle.
Answers
We know
[tex]\boxed{\sf Area=Length\times Breadth}[/tex]
[tex]\\ \sf\longmapsto x(4x)=36[/tex]
[tex]\\ \sf\longmapsto 4x^2=36[/tex]
[tex]\\ \sf\longmapsto x^2=\dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto x^2=9[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{9}[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
Breadth=3mLength=4(3)=12mThe table below shows the number of pets kept by the students in a class.
-----------------------------------------------------------
No. of pets | No. of students
-----------------------------------------------------------
0 | 9
1 | k
2 | 2
3 | 1
4 | 2
-----------------------------------------------------------
If the median number of pets is 1, what is the smallest value of k ?
Answers
Answer:
The answer for this question is 5
Solve the equation.
8 -0.8k = 8
k = ?
(Simplify your answer.)
Answers
K = 0
Lol
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If a plane can climb at 2,400 feet per minute, how many minutes are needed to climb to 60,000 feet?
If a plane can climb at 2,400 feet per minute, how many minutes are needed to climb to 60,000 feet?
Answers
Answer:
25 is the amount needed to climb to 60,000 feet
The sum of the ages of two Brothers is 43 years old and one of them is 15 years older than the other
Answers
Answer:
Age of younger brother is 14 years..
And age if elder brother is 29 years.
Step-by-step explanation:
Let us denote 'x' as the age of smaller brother,
then, the age of younger brother will be x+15 years.
Equation formed:-
x+x+15 =43
2x+15 = 43
2x = 43-15
2x = 28
X = 28/2
X = 14
Age of younger brother is 14 years.
Age of elder brother = x + 15
Age of elder brother 14 + 15 = 29 years.
giving brainliest! :)
Answers
Answer:
239=5
478=10
956=20
Step-by-step explanation:
Gianna's car can travel 478 mi with 10 gallons of gas
so, 47.8 mi with 1 gallon
by dividing 239 by 47.8 miles/gallon we get the answer 5 miles.
if we multiply 20 gallons by 47.8 mi/gallon #e get the answer 956 miles.
easy weasy
A truck was driven a 140 miles in 3 1/2 hours. If a car is driven the same distance at an average speed of 20 miles an hour faster than the trucks average speed, how long will it take the car.
Answers
Find the speed of the truck:
140 miles / 3.5 hours = 40 miles per hour
The car was 20 miles an hour faster: 40 + 20 = 60 miles per hour.
Divide distance by speed: 140 miles / 60 miles per hour = 2 1/3 hours
Answer: 2 1/3 hours
Answer: 2 2/6 hours
Explanation:
Distance = 140 miles
Time = 3 1/2 hours
= 7/2 hours
Speed = Distance/Time
= 140/(7/2)
= 40 miles
New distance = 140 Miles
New Speed = 60 miles
New Time = 140/60
= 2 2/6 hours
Must click thanks and mark brainliest
Find the gradient of the straight line joining the two points. (1,7) and (-1,-7)
Answers
Points: (-1,-7), (1,7)
Formula (y=mx+b):
y = 7x
Slope m: 7
Y-intercept b: 0
Parallel lines: 7x + any number
Must click thanks and mark brainliest
Write each as a decimal round to the thousands place 44%
Answers
Answer:
44 as a decimal is 0.44 and you can multiply 0.44 by a number to get 44 percent of that number.
Help!! Please I’m stuck give [10pts]
Answers
Answer:
x = 18
Step-by-step explanation:
To solve this problem, we can use the exterior angle theorem, which means the measure of an exterior angle is the sum of its remote interior angles. In this case, this would mean:
x + 72 = 5x
Since this gives us an equation, we can just solve for x:
x + 72 = 5x
72 = 4x
x = 18
How to solve using quadratic equations 4x^2+7x-20=0
Answers
Answer:
Step-by-step explanation:
Y = Ax2 Bx C
Enter coefficients here >>> 4 7 -20
Standard Form: y = 4x²+7x-20
1.75 0.875 0.765625 3.0625 -23.0625
Grouped Form: No valid Grouping
Graphing Form: y = 4(x+0.88)²-23.06
Factored Form: PRIME
Solution/X-Intercepts: -3.28 AND 1.53
Discriminate =369 is positive, two real solutions
VERTEX: (-0.88,-23.06) Directrix: Y=-23.13
look at the image below
Answers
Answer:
201.1 km²
Step-by-step explanation:
Surface area of the figure,
4πr²
= 4×π×4²
= 64π
= 201.1 km² (rounded to the nearest tenth)
Which of the following equations has the same solution as 5 x + 8 = x − 9?
A) 4 x = −1
B) 4 x = 17
C) 6 x = −17
D) 6 x = 17
E) 4 x = −17
Please give me a explanation! Willing to give a Brainliest.
Answers
[tex]4x=-17[/tex] has the same solution as [tex]5x+8=x-9[/tex]
Option (E) is correct
What is Equation?"An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =."
We have,
[tex]5x+8=x-9[/tex]
By solving the given equation
⇒[tex]5x-x=-9-8[/tex]
⇒[tex]4x=-17[/tex]
Clearly, Option (E) is correct
⇒[tex]x=\frac{-17}{4}[/tex]
Explanation for other options:
(A) [tex]4x=-1[/tex]
⇒[tex]x=\frac{-1}{4}[/tex]
(B) [tex]4x=17[/tex]
⇒[tex]x=\frac{17}{4}[/tex]
(C) [tex]6x=-17[/tex]
⇒[tex]x=\frac{-17}{6}[/tex]
(D) [tex]6x=17[/tex]
⇒[tex]x=\frac{17}{6}[/tex]
∴ [tex]4x=-17[/tex] has the same solution as [tex]5x+8=x-9[/tex]
Learn more about equation here
https://brainly.com/question/19549156
#SPJ2
I am very confused on how to do this.
Answers
Answer:
oh, this is very easy, all you do is locate the point for instance it says point : (13,7) if you look the top right segment is quadrant 1 all they did was take the points X axis and y axis and input the point that matches the number into the side where it says exercise. like on the side it says 1 that's all you look at and just find the x axis and y axis point then input it into the right exercise. Also go right to left with quadrants, top right is quadrant 1, top left is quadrant 2, bottom left is quadrant 3, and bottom right is quadrant 4.
Answer:
(13, 7) quad 1. (2, 9) quad 1.Step-by-step explanation:
The picture shows the quadrants.
Coordinates are shown in (x, y) form. The x comes from the x-axis (horizontal), and the y comes from the y-axis (vertical).
==================================================================
To find point 2, locate it on the graph. Imagine a vertical line going straight through the point, and intersecting the x-axis.
Go down to the x-axis, and find where it intersects. For point 2, it is +2 (positive 2). So the x value is 2.
Then to find the y value, imagine a horizontal line going through the point.
Go to the y-axis, and see where it intersects: +9. So the y value is 9.
To find the quadrant, just locate which quadrant it is in by using the picture I have attached.
I hope this helps!
pls ❤ and mark brainliest pls!
If (5x+3):(7x+3)=3:4, find the value of x.
Answers
[tex]\\ \sf\longmapsto \dfrac{5x+3}{7x+3}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto 4(5x+3)=3(7x+3)[/tex]
[tex]\\ \sf\longmapsto 20x+12=21x+9[/tex]
[tex]\\ \sf\longmapsto 12-9=21x-20x[/tex]
[tex]\\ \sf\longmapsto x=3[/tex]
[tex]\large\rm \longrightarrow \: {\purple{ \frac{(5x + 3)}{(7x + 3)} \: = \: \frac{3}{4} }} \\ [/tex]
⇛ Now , Cross Multiplying
[tex]\large\rm \longrightarrow \: {\blue{ 4 \: (5x + 3) \: = \: 3 \: (7x + 3)}}[/tex]
[tex]\large\rm \longrightarrow \: {\red{ 20x \: + \: 3 \: = \: 21 \: + \: 3}}[/tex]
[tex]\large\rm \longrightarrow \: {\orange{ 12 \: - \: 9 \: = \: 21x \: - \: 20x }}[/tex]
[tex]\large\rm \longrightarrow \:{\green{ 3 \: = \: x}}[/tex]
⇛ Hence , the value of x is 3
For the function F defined by F(x) = x^2 – 2x + 4, find F(| – 4|).
Answers
| - 4 | = 4
Thus :
f ( | - 4 | ) = f ( 4 )
f ( 4 ) = ( 4 )^2 - 2(4) + 4
f ( 4 ) = 16 - 8 + 4
f ( 4 ) = 16 + 4 - 8
f ( 4 ) = 20 - 8
f ( 4 ) = 12
What is 24/9 in simplest form
Answers
Answer:
2 2/3
Step-by-step explanation:
hope this helps :)
don't be afraid to ask questions
This graph represents which expression?
Answers
Answer:
x >7
Step-by-step explanation:
There is an open circle at 7, which means it cannot equal 7. The line goes to the right
x >7
Given f(x)=x^2 + x - 2, find the roots of g(x)=3f (-2x). Hint: Use the mapping rule.
Answers
[tex]f(x) = {x}^{2} + x - 2 \\ f( - 2x) = ( - 2x) ^{2} + ( - 2x) - 2 \\ = 4 {x}^{2} - 2x - 2 \\ \\ g(x) = 3f( - 2x) \\ g(x) = 3(4 {x}^{2} - 2x - 2) \\ = 12 {x}^{2} - 6x - 6 \\ = 6(2x + 1)(x - 1) \\ \\ g(x) = \sqrt{3f( - 2x)} \\ = \sqrt{3(4 {x}^{2} - 2x - 2)} \\ = \sqrt{12 {x}^{2} - 6x - 6} \\ = \sqrt{6(2x + 1)(x - 1)} \\ x = - \frac{1}{2} ,1[/tex]
From what I understood from the question I answered, I'm not sure about it , I hope this helps you ^_^
7x to the power of 2 is a what is it
a) monomial
b) binomial
c) Trinomial
Answers
Mono: one
Bi: two
Tri: three
So, because there is only one term, it is a monomial.
If triangle ABC has the following measurements, what is the measure of angle B? a=5 b=7 c=10
Answers
Answer: about 40.54°
Step by step explanation:
7^2 = 5^2 + 10^2 - 2(5)(10)cos(B)
cos(B) = (7^2 - 5^2 - 10^2) / (-2(5)(10) )
B = cos-1 [ (7^2 - 5^2 - 10^2) / (-2(5)(10) ] = cos-1 (.76) = about 40.54°
Adrian hopes that his new training methods have improved his batting average. Before starting his new regimen, he was batting 0.250 in a random sample of 56 at bats. For a random sample of 25 at bats since changing his training techniques, his batting average is 0.440. Determine if there is sufficient evidence to say that his batting average has improved at the 0.02 level of significance. Let the results before starting the new regimen be Population 1 and let the results after the training be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
Answers
According to the manufacturer's claim, we build an hypothesis test, find the test statistic and the p-value relative to this test statistic, we have that:
The value of the test statistic is z = 1.65.The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.As the test involves a comparison of samples, it involves subtraction of normal variables, and for this, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before:
Average of 0.250 in 56 at bats, so:
[tex]p_B = 0.25[/tex]
[tex]s_B = \sqrt{\frac{0.25*0.75}{56}} = 0.0579[/tex]
After:
Average of 0.44 in 25 at bats, so:
[tex]p_A = 0.44[/tex]
[tex]s_A = \sqrt{\frac{0.44*0.56}{25}} = 0.0993[/tex]
Test if there was improvement:
At the null hypothesis, we test if there was no improvement, that is, the subtraction of the proportions is 0:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, we test if there was improvement, that is, the subtraction of the proportions is positive, so:
[tex]H_1: p_A - p_B > 0[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{s}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
From the samples:
[tex]X = p_B - p_A = 0.44 - 0.25 = 0.19[/tex]
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0579^2 + 0.0993^2} = 0.1149[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{s}[/tex]
[tex]z = \frac{0.19 - 0}{0.1149}[/tex]
[tex]z = 1.65[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a difference of at least 0.19, which is 1 subtracted by the p-value of z = 1.65.
Looking at the z-table, z = 1.65 has a p-value of 0.9505.
1 - 0.9505 = 0.0495.
The p-value of the test is of 0.0495 > 0.02, which means that there is not sufficient evidence to say that his batting average has improved at the 0.02 level of significance.
A similar question is found at https://brainly.com/question/23827843
what is the scientific notation for 2/10
Answers
9514 1404 393
Answer:
2×10⁻¹
Step-by-step explanation:
The place values in our decimal number system can be thought of as powers of 10 that increase from 0 going left from the ones place. The sequence of powers of ten continues to decrease to the right of the decimal point. The first place right of the decimal point has a place value of 1/10, or 10^-1. The next place to its right has a place value of 1/100, or 10^-2.
So, the decimal number 2/10 = 0.2 is 2×1/10 = 2×10^-1.
Answer:
Step-by-step explanation:
the scientific notation is 2 x 10^-1
In a 4 day period, a delivery person delivered the following number of
packages per day: 1150, 1200, 1900 and 1350. The average number of
packages he delivered per day was _?_
Answers
Answer: 1400 packages
Step-by-step explanation:
1150+1200+1900+1350 divided by the 4 day interval means and average of:
1400 packages per day
✨Plz help me with my Homework!✨
This is “Finding unit rate”
Plz!
Answers
2. 6 eggs
3. About $0.81
Work:
1. 3,420 ÷ 5 = 684
2. 48 ÷ 8 = 6
3. 4.88 ÷ 6 ≈ 0.81
Explain why this quadrilateral is not a parallelogram.
Answers
Answer:
A parallelogram has two sets of parallel sides. This quadrilateral only has on set of parallel sides, so therefore it cannot be a parallelogram.
The decimal for an irrational number never terminates or repeats. The
rational and irrational numbers together form the set of real numbers.
If false, explair:
Answers
Answer:
Step-by-step explanation:
No that is true. I can't make anything more out of it.
What is the volume of a pyramid below?
44 in^3
33in^3
22in^3
66in^3
Answers
Answer:
66in^3
Step-by-step explanation:
.5 * 3 * 4 * 11 = 66
formula is
.5 * b * h *length
