Answer:
[tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.
Step-by-step explanation:
Intersection point of two functions is a common point which satisfies both the functions.
Given functions are,
[tex]f(x)=2x-5[/tex]
[tex]g(x)=x^2+2x-21[/tex]
For a common point of these functions,
[tex]f(x)=g(x)[/tex]
[tex]2x-5=x^2+2x-21[/tex]
[tex]-5=x^2-21[/tex]
[tex]0=x^2-16[/tex]
[tex]x^2=16[/tex]
[tex]x=-4,4[/tex]
For [tex]x=-4[/tex],
[tex]f(-4)=g(-4)=2(-4)-5[/tex]
[tex]=-13[/tex]
For [tex]x=4[/tex],
[tex]f(4)=g(4)=2(4)-5[/tex]
[tex]=3[/tex]
Therefore, [tex](-4,-13)[/tex] and [tex](4,3)[/tex] the intersection points.
PLEEEEASEEE HELP ASAP
In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel
a p e x
Answer:
a
Step-by-step explanation:
Answer:
Option A
Step-by-step explanation:
I just got done with this same quiz and i got a 100 .
please help i’ll give brainliest!!! thanks
Answer:
A the silk road.
Step-by-step explanation:
The transmission of Buddhism to China via the Silk Road started in the 1st century CE with a semi-legendary account of an embassy sent to the West by the Chinese Emperor Ming (58–75 CE). The first missionaries and translators of Buddhists scriptures into Chinese were either Parthian, Kushan, Sogdian or Kuchean.
show that the bowtie method can be used to multiply (2x -27)(-x +15)
( 2x − 27 ) ( −x + 15 )
= ( 2x + −27 ) ( −x + 15 )
= ( 2x ) ( −x ) + ( 2x ) ( 15 ) + ( −27 ) ( −x ) + ( −27 ) ( 15 )
= −2x^2 + 30x + 27x − 405
= −2x^2 + 57x − 405
A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.
Answer:
The ladder would reach 15.2 feet up
What is the length of the hypotenuse
Answer:
C=17
Step-by-step explanation:
15^2+8^2=c^2
C^2=289
C=17
Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?
Answer:
5
Jeffrey will use 9 __ cups of oatmeal
8
Step-by-step explanation:
2.75 cups of oatmeal per 1 dozen
2.75 x 2 = 5.5
2.75 + 2.75(1/2) = 4.125
add
5.5 + 4.125 =
9.625 cups of oatmeal
or
9 5/8 cup
A toy company used 18 pints to make 9 action figures, which is a rate of _ pints per figure
Answer:
For 1 figure, 2 pints are used
Step-by-step explanation:
9 figures = 18 pints
1 figure = 18/9
1 figure = 2 pints
Hope this helps!
what is the correct solution? from the graph ( x , y )
Leila is at a charity fundraiser and has a chance of receiving a gift 6/17 . The odds in favor of receiving a gift are . Find the probability of Leila receiving a gift.
Answer:
6 / 23
Step-by-step explanation:
The question is not correct, the correct question is:
Leila is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of receiving a gift are 6:17. Find the probability of Leila receiving a gift.
Solution:
Odds provide a measure of the likelihood of a particular outcome occurring. Odds is the ratio of the number of events that produce that outcome to the number that do not.
The probability of an event occurring is the ratio of number of favorable outcomes to the total number of outcomes possible.
Given that the odds in favor of receiving a gift are 6:17. Therefore:
number of favorable outcome = 6, number of unfavorable outcome = 17
Total number of possible outcomes = 6 + 17 = 23
The probability of Leila receiving a gift = number of favorable outcome / Total number of possible outcomes = 6 / 23
The probability of Leila receiving a gift = 6 / 23
A. 65
B. 30
C. 10
D. 50
Answer:
50
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
D. 50
Step-by-step explanation:
∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:
m∠CGF + m∠AFG = 180°
And, we can substitute:
3x - 20 + x = 180
4x - 20 = 180
4x = 200
x = 50
The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:
O Most males preferred black laptops.
O Most females preferred black laptops.
O Red was the least preferred color for a laptop, amongst male high school students surveyed.
OBlack was the most preferred color for a laptop, amongst all high school students surveyed.
Answer:
Most males preferred black laptops
Step-by-step explanation:
Help please need answer ASAP
Answer:
60
Step-by-step explanation:
45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.
Hope this helps :D
How many solutions does the equation 4x+2(x-5)=3(3x-4) have?
Answer:
It has 1.
Step-by-step explanation:
x=2/3 or x=0.6.
An equation is shown.
x^3 = 125
What are all the possible values of x?
A. -5 only
B. 5 only
C. -5 and 5
D. 5 and 25
Answer:
the answer is C
Step-by-step explanation:
the answer is C
Which streets on the map appear to be perpendicular to each other?
Elm
Maple
Main
Willow
A.
Maple and Willow
B
Elm and Willow
OC.
Main and Elm
D.
Main and Maple
Answer:
jhkughyuguygkuyftyfguyihyghuy.,^´ñplpokjo0ijoi
Step-by-step explanation:
Answer: Maple and Willow
Step-by-step explanation:
Hello sorry for the other guy's un usefulness but I'm taking the same test and this was the correct answer.
There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at random, not replaced, and another was picked, what is the probability of both marbles selected to be blue?
Answer:
2/15
Step-by-step explanation:
4/10 * 3/9 = 12/90 = 2/15
QUESTION 2 PLEASE HELP ME!!!
Answer:
Look it up up
Step-by-step explanation:
The measure of L in triangle LMN is 36°. The measure of M is 75°. What is the measure of N? PLEASE HELP
A.
111°
B.
39°
C.
69°
D.
249°
Answer:
C. m∠N = 69°
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180.
m∠L + m∠M + m∠N = 180
36 + 75 + m∠N = 180
111 + m∠N = 180
m∠N = 69°
A hospital recorded the weights, in ounces, of newborn babies for two weeks. The
results are listed below.
Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126
Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130
Which statement is true?
Answer:
The standard deviation for week two was about 3 ounces more than the standard deviation for week one
Step-by-step explanation:
Given
[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]
[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]
See attachment for options
Required
The true statement
Checking the standard deviation
For week 1
Calculate the mean:
[tex]\bar x = \frac{\sum x}{n}[/tex]
[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]
[tex]\bar x = \frac{1014}{10}[/tex]
[tex]\bar x_1 = 101.4[/tex]
Then standard deviation
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]
[tex]\sigma_1 = \sqrt{252.24[/tex]
[tex]\sigma_1 = 15.88[/tex]
For week 2, we have:
[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]
[tex]\bar x = \frac{1037}{10}[/tex]
[tex]\bar x_2 = 103.7[/tex]
Then standard deviation
[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]
[tex]\sigma_2 = \sqrt{353.81[/tex]
[tex]\sigma_2 = 18.81[/tex]
Compare the standard deviations
[tex]\sigma_1 = 15.88[/tex]
[tex]\sigma_2 = 18.81[/tex]
Calculate the difference:
[tex]d = \sigma_2 - \sigma_1[/tex]
[tex]d = 18.81 - 15.88[/tex]
[tex]d = 2.93[/tex]
[tex]d \approx 3[/tex]
This implies that option (b) is true
5. When using substitution in the system of equations, what is the resulting equation?
y=-3x + 5
5x – 4y=-3
a. 5x – 4(-3x+5)=3
b. 5(-3x+5) – 4y =-3
c. y=-3(5x – 4y) + 5
d. – 3x + 5 = 5x – 4y =- 3
Answer:
The answer is "a" 5x-4(-3x+5)=-3
Solve for x in the diagram below.
Step-by-step explanation:
x+(3x+10)=90
4x+10=90
4x=80
x=20 Ans
1½ hours is how much in seconds??
3/2=1.5 hour=5400 second
Hope it helps you
Answer:
5,400 seconds.
Help, and if you send a link I whole report
find the area of the trapezoid?
Answer:
46,746 mm²
Step-by-step explanation:
½×(210+84)×318
= 46,746 mm²
Someone please help me with this algebra question the formula for triangle is A = 1/2bh and for the trapezoid is a=1/2h(b1 + b2) if I’m not wrong
Answer:
Triangle: 63 square units Rhombus: 56 square units
Step-by-step explanation:
Rhombus formula: Base x Height
4 x 14 = 56
Triangle formula: 1/2 x Base x Height
6 x 21= 126
126 x 1/2 = 63
btw, this isn't algebra
What is the probability of rolling a 6 and then a 7 on a number cube?
NO LINKS PLEASE!
Answer:
the probability of rolling 6 is 16 or 16.7%.
the probability of rolling 7 is 0.
Step-by-step explanation:
7 is 0 because its impossible to roll a 7 on one number cube.
The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?
Answer: The answer is 0.495
Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!
3
What is the difference of
21
?
4
Answer:
The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
i think c. y= 4(3)^x
Step-by-step explanation:
let me know if this is incorrect
Answer:
your answer is the last one!
Step-by-step explanation:
Have good day
PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!
Topic: Math
Solve all the questions
Answer:
1. x= 9
2. x= −2
3. 51 inches
4. $213.11 each month
Step-by-step explanation:
1. Simplify both sides of the equation.
x + 7 + 7x= 25 + 6x
Combine Like Terms
(x + 7x) + (7)=6x + 25
8x + 7= 6x + 25
8x + 7= 6x + 25
Subtract 6x from both sides.
8x + 7 − 6x= 6x + 25 − 6x
2x + 7= 25
Subtract 7 from both sides.
2x + 7 − 7= 25 − 7
2x= 18
Divide both sides by 2.
2x/2= 18/2
2. Subtract 5x from both sides.
x − 5x= 5x + 8 − 5x
−4x= 8
Divide both sides by -4.
−4x/−4= 8/−4
3. First find the perimeter of the trapezoid
4 + 3 + 4 + 8= 19
A square has all equal sides
8 * 4= 32
Add them together
19 + 32 = 51 inches
4. Subtract the amount she put for finance from the total
1598.66 - 320 = 1278.66
Then divide that amount by the 6 months
1278.66 divided by 6 = 213.11
$213.11 each month