Answer:
-8 and 4
Step-by-step explanation:
4x=32-x^2x^2 +4x - 32=0x^2+4x+4 - 36=0(x+2)^2- 6^2=0(x+2+6)(x+2-6)=0x+8=0 ⇒ x= -8x-4=0 ⇒ x=44x = 32 -x^2
Subtract 4x from both sides and rearrange the equation:
-x^2 -4x +32 = 0
Use the quadratic equation x = -b +\ - sqrt(b^2-4ac)/ 2a
From the rewritten equation: a=-1, b = -4 and c = 32
Solving for x you get x = -8 and x = 4
The solutions are -8 and 4
-12.40 in simplest from
Answer: [tex]- \frac{62}{5}[/tex]
Convert the decimal number into a fraction
Multiply by 10
[tex](- \frac{12.40}{1} ) (\frac{10}{10})[/tex]
[tex]- \frac{124}{10}[/tex]
Divide the fraction by 2
[tex]- \frac{62}{5}[/tex]
I will mark you brainliest!!! Identify the exponential function shown in the graph.
Answer:
Letter B.
Step-by-step explanation:
Look for where the line corsses the Y axis. that will tell you the most about this line and it corsses at 8 so that can be the only one correct.
Express the ratio 700g to 1.75kg in its lowest terms.
Give your answer in the form m:n where m and n are integers
Answer:
2 : 5
Step-by-step explanation:
700 g : 1.75 kg
Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g
700 g : 1.75 kg × 1000
700 g : 1750 g
÷ 50 ÷50
14 : 35
÷7 ÷7
2 : 5
Which of the following is(are) the solution(s) to |x+8|=1
A. x=9
B. x= 7,9
C. x= -7, 9
D. x= -7
What is the value of p?
Answer:
Step-by-step explanation:
finding angle measures using triangles
In the given diagram ∠AJF or x comes to be 76°.
What are opposite angles?Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.
We know that ∠JIH+∠JID=180°
107° +∠JID=180°
∠JID=180°-107°
∠JID=73°
∠JDI=31°(given))
In triangle JDI,
∠JDI+∠JID+∠IJD=180°
31° + 73° + ∠IJD =180°
∠IJD =76°
We know that ∠IJD and angle x° are opposite angles.
So, x=76°
Therefore, In the given diagram ∠AJF or x comes to be 76°.
To get more about angles visit:
https://brainly.com/question/25770607
The volume of a sphere whose diameter is 18 centimeters is
Answer:
please give more clarification
What steps would you take to determine if these
figures are similar? Check all that apply.
A"
B"
4
Use a scale factor of 2
Multiply the vertices of polygon ABCD by <
2
D"
C"
Translate the intermediate image 4 units down.
Perform two different dilations.
-4
-2
4
Reflect the intermediate image.
Answer:
2nd and 5th answer options
Step-by-step explanation:
Multiply the vertices of polygon ABCD by One-half.
Reflect the intermediate image.
An employee earns a 25% commission rate on his sales. One day, he earned $175.
If he gets 25% of his sales, and he makes $175, that means $175 is it 25% of his sales.
Determine the mean of the following set of numbers: 40, 61, 95, 79, 9, 50, 80, 63, 109, 42
Round to the nearest tenth place. The mean is
Step-by-step explanation:
work is shown and pictured
Anna has 2 purple lipsticks, 3 red lipsticks and 3 pink lipsticks in her kit. She picks one lipstick, record its color, puts it back in the kit and draws another lipstick. What is the probability of taking out a purple lipstick followed by the red lipstick?
Answer:
9/64Step-by-step explanation:
This is a probability problem on selection with replacement, that is the sample size does not change after each selection or event.
Given data
2 purple lipsticks,
3 red lipsticks and
3 pink lipsticks
The sample space s=(2,3,3)
The sample size= 8
1. the probability of taking a purple lipstick Pr(purple)= [tex]\frac{3}{8} \\[/tex]
2.the probability of taking a red lipstick Pr(red)= [tex]\frac{3}{8}[/tex]
probability of taking out a purple lipstick followed by the red lipstick is
[tex]= \frac{3}{8} * \frac{3}{8} = \frac{9}{64}[/tex]
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
The inverse function h(x) = 4x + 48
Step-by-step explanation:
Here, we want to find the inverse of a function
The function is;
f(x) = x/4 -12
now, let this value equals m
so;
m = x/4 -12
we now try and make x the subject formula and this gives us the inverse.
m = (x-48)/4
4m = x -48
x = 4m + 48
substitute m for x
which implies 4x + 48
This is the inverse of the function
Answer:
D. h(x) = 4x + 48
Order the simplification steps of the expression below using the properties of rational exponents. [tex]\sqrt[3]{7}=7^{\frac{1}{3}}[/tex]
A.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7^{\frac{1}{3}}\cdot ^{\frac{1}{3}}\cdot ^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7\\[/tex]
B.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}\cdot 7^{\frac{1}{3}}=7\cdot 7^{\frac{1}{3}}=3\cdot \frac{1}{3}\cdot 7=1\cdot 7=7[/tex]
C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}}+\:^{\frac{1}{3}}+\:^{\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
D.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7\cdot \left(\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\right)=7\cdot \frac{3}{3}=7\cdot 1=7[/tex]
The answer is C.) [tex]\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7[/tex]
what you plug in for calculator
\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7
En un colegio hay dos grupos de 1º ESO con 24 alumnos cada uno.
a) Si las chicas de 1º A son el doble que los chicos, ¿cuántas chicas hay en la clase?
b) Si el número de chicas de 1º B supera en cuatro al de chicos, ¿cuántos chicos
hay?
Answer:
I will answer in English.
In each group, A and B, we have 24 students.
a) The number of girls in A is twice the number of boys in A.
Then, if G is the number of girls and B the number of boys.
G + B = 24
G = 2B
Now we can replace the second equation into the first one:
2B + B = 24
3B = 24
B = 24/3 = 8
G = 24 - 8 = 16
We have 16 girls in class A.
b) In B we have 4 more girls than boys, then:
G = B + 4
G + B = 24
we can replace the first equation into the second one:
B + (B + 4) = 24
2*B = 24 - 4 = 20
B= 20/2 = 10
We have 10 boys in class B:
Admission to the school fair is $2.50 for students and $3.75 for others. If 2848 admissions were collected for a total of $10,078.75, how many students attended the fair?
Answer:
4031.5
Step-by-step explanation:
What is the equation of the circle with center (11, 6) that passes through the point (17, 12)? A) (x − 11)2 + (y + 6)2 = 36 B) (x − 11)2 + (y − 6)2 = 36 C) (x + 6)2 + (y − 11)2 = 72 D) (x − 11)2 + (y − 6)2 = 72
Answer:
Its D
Step-by-step explanation:
Convert 237 into binary system
Answer:
237 in binary is 0b11101101
Please see the attached picture for full solution
hope it helps....
Good luck on your assignment
Can someone help me it’s geometry I will really appreciate it :,)
Answer:
LAS LINEAS PARALELAS TIENEN LA MISMA PENDIENTE. ENTONCES ES
-4
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
A. Obtuse
Step-by-step explanation:
Supplementary Angles: either of two angles whose sum is 180°
Adjacent: have a common side, a common vertex, and don't overlap
Which of the following are solutions to |x + 3|=4x-7 check all that apply
Answer:
3.333333
Step-by-step explanation:
4x-x=3+7
3x=10
x=3.33333
An adult ticket costs $5.25 and a child ticket costs $3.05. If $498.60 were collected for 100 tickets, how many child tickets were sold?
Answer:
work is shown and pictured
Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego
Answer:
the slopes of the adjacent line segments are equal......
Step-by-step explanation:
hope it's helpful
The reminder when the square of any prime number greater than 3 is divided by 6 is
Answer:
(A) 1(B) 3 (C) 2(D) 4
Step-by-step explanation:
Help me ASAP
Estimate the measure of ∠DBC.
Answer:
135°
Step-by-step explanation:
Considering it's estimation, there isn't too much of an explanation, but here you go anyways.
A straight angle is equal to 180°. DBE is a straight angle.
DBC and CBE added together appear to be 180° (supplementary).
We are trying to find DBC. An obtuse angle has to be over 90°, which in this case DBC clearly is over 90°. From that you can conclude it isn't any of the first 3, so it's D. 135°
hope this helps and give brainliest if I am epic blah blah blah ;)
If (x - 3) represents the side of a cube, what is the
polynomial that represents its volume?
Answer:
x³ - 9x² + 27x - 27
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = s³ ( s is the measure of the side ) , thus
V = (x - 3)³
= (x - 3)(x - 3)(x - 3) ← expand the second/ third factors using FOIL
= (x - 3)(x² - 6x + 9) ← distribute
= x³ - 6x² + 9x - 3x² + 18x - 27 ← collect like terms
= x³ - 9x² + 27x - 27
A high school graduating class is made up of 351 students. There are 73 more girls than boys. How many boys are in the class?
Answer:
let x be the number of boys
given, the number of girls are 73 more than the number of boys, meaning number of girls is x + 73
also given is that x + x + 73 = 351
2x + 73 = 351
2x = 351 - 73
2x = 278
x= 139
There are 139 boys
There will be 139 + 73 = 212 girls
139 + 212 = 351 which is the total number of students
let x be the number of boys.
Given, that the number of girls is 73 more than the number of boys, meaning the number of girls is x + 73
also given is that
x + x + 73 = 351
2x + 73 = 351
2x = 351 - 73
2x = 278
x= 139
There are 139 boys
There will be 139 + 73 = 212 girls
139 + 212 = 351 which is the total number of students.
What is the term for graduating high school?To graduate means to successfully complete your schooling, to become "a graduate." When you graduate from high school, you become a high school graduate and congratulations are in order. A graduate is someone who has received a degree from a school.
Learn more about graduating high school here: https://brainly.com/question/14862649
#SPJ2
Help me answer this
Answer:
The answer would be 10.
Step-by-step explanation:
10 is the number that has the most number of dots above it.
Analyze the diagram below and complete the instructions that follow.
N
In the diagram, 212 22 22 = 23, and m41 = 609. Give the reasons that best support the following statements used to show
that m43 = 60°
1. 21 = 22 and 22 = 23; therefore, 2133
2. m 1 = 60° and 2123; therefore, 60° =m23
3. 60º = m/3; therefore, mx3 = 60°
Save and Exit
Next
Submit
Mark this and return
The revenue generated by the band is given by the expression 50x+150
Select all of the ordered pairs that are solutions to the inequality:
50x + 150y > 1500
(1, 10)
(10, 1)
(0, 10)
(40, 0)
Answer:
(1, 10) and (40, 0)
Step-by-step explanation:
Given expression 50x+150
inequality is
50x + 150y > 1500
it means that if we plug value of x and y from given option in 50x+150 then it should be greater than 1500.
lets check for all the option
(1,10)
50*1 + 150*10 = 50+1500 = 1550
Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given
(10, 1)
50*10 + 150*1 = 500+ 150 = 650
Since , 650 is less than 1500, (10,1) is not the solution for the inequality given
(0, 10)
50*0 + 150*10 = 0 + 1500 = 1500
Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given
(40, 0)
50*40 + 150*0 = 2000 + 0 = 2000
Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.
Thus, from the given option there are two solution for 50x + 150y > 1500
(1, 10) and (40, 0)
(1, 10) (40, 0) as the person above/below stated.
what is 100 divided by 3?
Answer:
0.003
Step-by-step explanation:
100 / 3 = 0.003
When dividing with (10, 100, 100 etc) you go this way <—