Answer:
(- 6, 10 ) and (- 1, 5 )
Step-by-step explanation:
Given the 2 equations
y = x² + 6x + 10 → (1)
y = - x + 4 → (2)
Substitute y = x² + 6x + 10 into (2)
x² + 6x + 10 = - x + 4 ( subtract - x + 4 from both sides )
x² + 7x + 6 = 0 ← in standard form
(x + 1)(x + 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 6 = 0 ⇒ x = - 6
Equate these values into (2) for corresponding values of y
x = - 1 : y = - (- 1) + 4 = 1 + 4 = 5 ⇒ (- 1, 5 )
x = - 6 : y = - (- 6) + 4 = 6 + 4 = 10 ⇒ (- 6, 10 )
i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)
Answer:
Step-by-step explanation:let x be the number of bicycles,
let y be the number of tricycles
given x+y=20→equation 1
also given 2x+3y=44→equation 2
from eq 1, y=20-x
substitudin ineq 2
2x+3(20-x)=44
2x+60-3x=44
60-x=44
-x=44-60
=-16
x=+16
then y=20-16=4
no of bicycles=16
no of tricycles=4
hope this helps
plzz mark me brainliest
The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.
C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?
{I only need help on part C}
Answer:
The mean value = $80.5
Step-by-step explanation:
The value of her last six spendings are $109, $72, $99, $15, $99, and $89.
For the mean.
Mean = Total spendings/number
Mean =483/6
Mean = $80.5
For the median.
Lets arrange it in ascending order
$15 ,$72, $89, $99, $99, $109
The middle values are two.
Median = (89+99)/2
Median = 188/2
Median = $94
For the mode
$15 ,$72, $89, $99, $99, $109
Highest occuring is $99 with two frequencies.
To convince her parents that she needs an increase in allowance she would show them the bigger spendings .
So the least value on the list it's mean value which is $80.5.
1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...
Answer:
0.03
Step-by-step explanation:
Given data
Probability that it will rain on Sunday= 0.7
Probability that it will rain on Monday = 0.2
Firstly we need to solve for the probability that it will rain on Tuesday
Sample space S = number of week days = 7
Probability that I will rain on Tuesday = 1/7= 0.14
Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028
Rounding up the nearest hundredths = 0.03
A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?
31.4 inches
62.8 inches
314 inches
1256 inches
Answer:B
Step-by-step explanation:
c=2nr or c=nd
2*3.14 * 10= 62.8
3.14 * 20= 62.8
The circumference of the tires is 62.8 inches.
What is Circumference?Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.
Given that, a 20-inch bicycle has tires with a diameter of 20 inches.
Diameter of the tire = 20 inches.
Radius of a circle or a circular object is half of the diameter of it.
Radius of the tire = 20 / 2 = 10 inches
Circumference of a circular object = 2πr, r is the radius.
Circumference of the tire = 2π r
= 2 (3.14) (10)
= 62.8 inches
Hence the circumference of a bicycle tire is 62.8 inches.
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100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.
Appreciate = Will mark Brainliest if correct
Thanks so much
Answer:
1. x = -4
y = -20
2. x = -1
y = 3
3. x = 7
y = 4
4. x = -6.5
y = -10.5
hope this helps :) sorry if I get it wrong!
Answer:
1) x=−4, y=−20
2) x=−1, y=3
3) x = 7 , y=4
4) x = -6.5 , y = -10.5
Step-by-step explanation:
1) y=5x;−3x+2y=−28
solving system by substitution:
substitute y =5x into 2nd equation:
-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4
plug in x in any equation and solve for y = 5* -4 = -20
2) solving system by elimination:
Multiply the first equation by 7, and the second equation by 5.
7(4x−5y=−19)
5(3x+7y=18)
----------------------
28x−35y=−133
15x+ 35y= 90
Add them up to eliminate y:
43x=−43 divide both sides by 43
x=−1
plug x back into 1st equation to solve for y
4x−5y=−19
(4)(−1)−5y=−19
−5y−4=−19 add 4 to both sides
−5y=−15 divide by -5
y=3
3) y =4 , 5x -6y = 11
plug in 4 for y in 2nd equation and solve for x:
5x -6* 4 =11 simplify
5x - 24 = 11 add 24 on each side
5x = 11 +24 simplify
5x = 35 divide by 5 on each side
x =7
4) y = x -4, 2x - y = -2.5
use substitution method:
2x -(x-4) = -2.5 distribute ( )
2x-x+4 = -2.5 simplify
x + 4 = -2.5 subtract 4 on each side
x = -2.5 -4
x = -6.5
plug in -6.5 for x in 1st equation and solve for y:
y = -6.5 -4
y = -10.5
If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?
Answer: 54.43
Step-by-step explanation:
381 / 7
A runner won a 100-meter race with a time of 9.73 seconds. How can you use place value to explain this time?
Answer: The runner is going exactly 10.2774922919 meters per second
Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1
HELP ASAP 30 POINTS!~!!!
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Math question down below
Answer:
E
E is the only one that ends with 70 and is also all multiples of 6.
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits the plane at (negative 2, negative 6) and (2, 6). Which statement is true about the end behavior of the graphed function?
Answer:
b
Step-by-step explanation:
hope this helps
Answer:
b
Step-by-step explanation:
Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed
Answer: 3.21%
Step-by-step explanation:
Interest = (1/t)(A/P - 1)
Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?
Answer:
$63 is the answer
Step-by-step explanation:
100-37=63
How to change miles per hour to feet per second?
Answer:
1 mph = 1.46666667 fps
What is the surface area of this design?
Answer:
440 inches squared - the last option
Step-by-step explanation:
Step 1. Surface area of top square.
5 x 5 = 25 inches sq
Step 2. Surface area of the 4 sides of the cuboid.
5 x 8 = 40 inches sq
40 x 4 = 160 inches sq
Step 3. Surface area of the large square.
10 x 10 = 100 inches sq
100 - 25 (because it's being covered) = 75 inches sq
Step 4. Surface area of the 4 sides of the large flat cuboid.
2 x 10 = 20 inches sq
20 x 4 = 80 inches sq
Step 5. (OPTIONAL) Surface area of the bottom
10 x 10 = 100 inches sq
Step 6. Add up all.
25 + 160 + 75 + 80 (+ 100 if including the base) = 340
We can conclude that we have to include the base as well because 340 inches sq is not an option listed.
340 + 100 = 440 inches sq
440 inches sq is the last option
Hope this helps :)
Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear.
Answer:
Step-by-step explanation:
Answer: Second point is (0.833,0)
Step-by-step explanation:
1. To determine slope you must use this formula Y= Mx + B
- M is the slope (positive or negative)
- B is the y-intercept
2. To find y-intercept you use (0, B)
3. M = -6/1
- 6 units down and 1 unit to the right since the slope is negative.
Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84
Answer: the answer choice “d” is correct
Step-by-step explanation:
because the different symbols mean different things and yeah
Answer:
D
Step-by-step explanation:
lesser value ------- < --------This side bigger value {open mouth}
78 < 81
81 is bigger than 78
X is at least 2" can be represented by x > 2.
True
False
Answer:
True
Step-by-step explanation:
Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How do you find the x- and y-intercepts of an equation?
A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.
B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.
C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.
D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.
Answer:
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.
Answer:
C
Step-by-step explanation:
A, B, and D don't make sense
Find the slope of the line
Answer:
A) 3/2
Step-by-step explanation:
slope of the line equation:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-3 , -3)
(x₂ , y₂) = (1 , 3)
Plug in corresponding numbers to the corresponding variables:
m = (3 - (-3))/(1 - (-3))
Simplify:
m = (3 + 3)/(1 + 3)
m = (6)/(4)
m = 3/2
A) 3/2 is your slope.
~
Answer:
the answer is three over two 3/2
Step-by-step explanation:
the equation is
Ya-Yb
divided by
Xa-Xb
so basically:
-3-3/-3-1
Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the box plot.
Distribution of Applicant's Ages
How many of
age in years
the applicants have ages that fall within the box of the box plot?
Please help!!!!
Answer:
The number of applicants that have ages that fall within the box of the boxplot = 10.
Step-by-step explanation:
box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The boxplot usually consists of a box and a whisker plot.
The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.
The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.
Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.
The total number of applicants = 20
50% of 20 = 10.
Hence, the number of applicants that have ages that fall within the box of the boxplot = 10
Hope this Helps!!!
Is this angle acute right obtuse or straight
Answer:
obtuse
Step-by-step explanation:
Over 90 degrees
Answer:
Obtuse
Step-by-step explanation:
The angle is obtuse because the angle is more than 90 degrees.
What is the mean absolute deviation of this data set? 26, 31, 32, and 39
Answer:
3.5
Step-by-step explanation:
26, 31, 32, and 39
First we need to find the mean
(26+ 31+ 32+ 39) /4
128/4 = 32
The mean absolute deviation is sum of the positive difference between the number and the mean divided by the number of terms
((32-26)+ (32-31)+ (32-32)+ (39-32)) /4
14/4
3.5
What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!
Answer:
Step-by-step explanation:
145 = 2x + 15
2x = 130
x = 65 (ANS)
Answer:
65º
Step-by-step explanation:
145º = (2x + 15)º
145º = (2x + 15)º
145º - 15º = 2xº + 15º - 15º
130º = (2x)º
x = 65º
wil give bianleast
What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?
8, 32, 128, 512
8, 32, 64, 512
2, 8, 32, 128,
32, 128, 512, 2048
Answer: B, but technically, all of them are correct except C.
Step-by-step explanation:
First, you fill in 1 for n:
= 2 x 4(1)
= 2 x 4
= 8
Next, I filled in 4 for n:
= 2 x 4(4)
= 2 x 16
= 32
Then, I filled in 8 for n:
= 2 x 4(8)
= 2 x 32
= 64
You can already figure this one out, and the answer is B.
Answer:
all are correct except the third choice.
The volume of this square pyramid is 200in^3. Find the value of x.
Answer:
x = 5 in.
Step-by-step explanation:
Volume = 1/3 * area of the base * height
200 = 1/3 * 8*15 * x
200 = 40x
x = 5 in.
Complete 4 A,B 9 for points.
Answer:
R = (1/t) (A/P - 1)
T = (1/r) (A/P - 1)
Can someone explain this step by step
Answer:
Step-by-step explanation:
[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]
Solve this system of equations using substitution:
y = 2x - 4
x + 2y = 10
Answer:
x + 2y = 10 = x + y = 5
Step-by-step explanation:
x + 2y = 10
divide 2 by 10
x + y = 5
This is all I really know how to do sorry
Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect
Answer:
[tex]n > 1[/tex]
Step-by-step explanation:
Given
Statement: 4x n is greater than 4
Required
Value of n
First we need to rewrite the statement in algebraic form;
Product 4 * n is represented by 4n
greater than 4 is represented by > 4
Bringing these two together, it gives the following
[tex]4n > 4[/tex]
Divide through by 4
[tex]\frac{4n}{4} > \frac{4}{4}[/tex]
[tex]n > 1[/tex]
We've arrive at solution;
This means that n is greater than 1
So, the values of n must start from 2 to show that the condition is true
The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have n as a number.
4n > 4
Plug n = 5
20 > 4 (true)
Plug n = 9/5
36/4 > 4
9 > 4 (true)
Plug n = 3
12 > 4 (true)
Plug n = 7/8
28/8 > 4
3.5 > 4 (false)
Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.
Learn more about the inequality here:
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Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi
Answer:
84.78 in
Step-by-step explanation:
in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is [tex]2*3.14*13.5[/tex] which equals 84.78
