Answer:
a=1 and b=13
do you need the working out?
A teacher has a 2-gallon (32-cup) container of juice. She gives each student a 1/2 cup of juice. Which equation represents the amount of juice that remains, y, after x students are served? a. y = 32x - 1/2 b. y = 1/2x - 32 c. y = -1/2 x + 32 d. y = -32 x + 1/2 WILL GIVE BRAINLIEST FOR GOOD EXPLANATION
Answer:
total cup = 32
1 student = 1/2 cup
find remaining cup = y
*we don't know how many students are there, so we just let it be x .
remaining cup = total cup - cup drank by students
y = 32 - 1/2x
y = -1/2x + 32 ( option c )
why 1/2x ? because we don't know how many students drank the juice, so we just let it be x .
Which of the following is the complete factorization of 10x - 3 - 3x2? -(3x + 1)(x - 3) -(3x - 1)(x - 3) (3x - 1)(x + 3)
Answer:
[tex]=-\left(3x-1\right)\left(x-3\right)[/tex]
Step-by-step explanation:
[tex]10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)[/tex]
If BE is a diameter of the circle, find
MAB
A. 400
B 50°
C. 75
D 80
Answer:
B 50˚
Step-by-step explanation:
What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.
You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.
mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,
180˚=80˚+x
x=180-80
x=100
Now, you can solve:
Method 1:
360˚=80˚+80˚+50˚+100˚+x
360-80-80-50-100=x
x=50˚
Method 2:
180˚=80˚+50˚+x
x=180-80-50
x=50˚
This corresponds to answer choice B.
Answer:
B.
Step-by-step explanation:
A pool in the shape of a rectangular prism holds 648 cubic feet of water. The pool is 4 feet deep and 9 feet wide. What is the length of the pool in feet? *
Answer: The length is 18 feet.
Step-by-step explanation:
4 * 9 * l = 648 where l is the length in feet.
36 * l = 648
36l = 648
l = 18
Which of the following is the correct factored form of the given equation?
4x2 - 11x + 6 = 0
(2x + 3)(2x + 2) = 0
(2x - 3)(2x - 2) = 0
(4x - 3)(x - 2) = 0
Answer:
[tex](4x - 3)(x - 2) = 0[/tex]
Last answer is correct
Step-by-step explanation:
[tex]4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone help me ?
Answer:
-2
-1
Step-by-step explanation:
The y-intercept is the point on the y-axis intersected by the graph.
y-intercept is -2
The x-intercept is the point on the x-axis intersected by the graph.
x-intercept is -1
Answer:
see below
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at x = -1
(-1,0)
The y intercept is where it crosses the y axis
It crosses at y = -2
(0,-2)
a vegetable garden surrounding path are shaped like a square that together are 10 ft wide. The path is 3 ft wide. Find the total area of the vegetable garden and path.
Answer: Garden = 36 ft², Path = 64 ft²
Step-by-step explanation:
Path is 3 ft wide ON EACH SIDE of the garden
Garden + 2(Path) = 10 ft --> Garden = 6 ft wide.
Since the garden is a square, Area = 6² = 36
Garden + 2(Path) = 10 ft
Since the Garden + Path form a square, Area = 10² = 100
Area of Garden + Area of Path = Total Area
36 + Area of Path = 100
Area of Path = 64
What is the length of the side opposite ZB?
3 units
4 units
5 units
6 units
Answer: 4 units
Step-by-step explanation:
The side that is opposite of B would be the side that is across from B
3 is across from A
5 is across from C
4 is across from B
The question is an illustration of right triangles
The length of the side opposite angle B is 4 units
From the figure, we can see that the triangle is a right triangle, with the following angles
Angle B
Angle A
Angle C
The triangle is right-angled at angle C.
From the figure, the length opposite angle B is length AC.
Where
AC = 4
Hence, the length of the side opposite angle B is 4 units
Read more about isosceles right triangle at:
https://brainly.com/question/20447308
Find the slope of the line that passes through (4, 18) and (7, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -8/3
please see the attached picture for full solution
hope it helps
Answer:
[tex]slope = \frac{8}{ - 3} [/tex]
Step-by-step explanation:
[tex](4 \: \: \: ,\: \: 18) = > (x1 \: \: ,\: \: y1) \\ (7 \: , \: \: \: \: \: 10) = > (x2 \: \: \: ,\: \: y2)[/tex]
[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{18 - 10}{4 - 7} \\ = \frac{8}{ - 3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help me I’m stuck with this question someone help me please
Hhh I’m very bad at math
Answer:
See below;
Step-by-step explanation:
21 . Consider an exponential function;
[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]
Solution; Provided Directly Above
Given the sinusoidal function, g(x) =3[sin 2(x – 90°)]-1
Sketch g(x), using transformations of y = sinx, for two cycles
using either a transformation table or graphs.
Answer:
twetwe. eet wvjhcjh
Step-by-step explanation:
wetwetwet wte ucytc
What is another name for ∠EBC?
Answer:
Number 4
Step-by-step explanation:
Angle CBE is the same thing as angle EBC. The only thing that matters when you're talking about ONE angle is the middle letter.
Answer:
It is number four: ∠CBE
Holly say 4.131131113 is a rational number which of the following best describes whether holly is correct and why
Answer: Holy is not correct
Step-by-step explanation:
Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's
Answer:
holly is not correct
Step-by-step explanation:
Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's
Please help me simplify these expressions
Answer:
6p^5 q^3
Step-by-step explanation:
download the app cymath for these types of questions
this (^) means exponents
-----
Number 5:
2p^2qx3p^3q^2
Take out the constants (2x3)p^2p^3qq^2
Simplify 2x3 to 6, 6p^2p^3qq^2
6p^2+^3q^1+^2
simplify 2+3 to 5, 6p^5q^1+^2
simplify 1+2 to 3
6p^5 q^3
Is (-4, 2) a solution of 3y - 2x = 14?
Answer: I don’t know if this will help, but I do know that the function for that equation is -7
Step-by-step explanation:
Direct variation: if y = 4, when x = -2, find x when y = 6
Answer:
-3
Step-by-step explanation:
Because when y is 4, x is 4/-2 = -2
So when y is 6,
x= 6/-2
= -3
Are AB→ and Ray −BA→ the same ray? Explain. both have an arrow pointing right over them}
Answer:
No
Step-by-step explanation:
No, they are not because ray AB starts at point A and continues forever while ray BA does the opposite, it starts at point B and continues forever.
The measures of is c.
Answer:
10
Step-by-step explanation:
By the Pythagorean Theorem:
[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]
Hope this helps!
I need explanation and help me plz !!!!
Answer:
52
Step-by-step explanation:
There are a total of 380+240+110 people. (730)
0.52 are in stage 3.
0.33 in stage 2.
0.15 in stage 1.
52 people from stage 3 should be in the group.
I need help,please as fast as possible
£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much as Brian. How much does Paul get?
Answer:
Step-by-step explanation:
I don’t understand, what’s the answer and why?
if g(x)= -3 +1, Find x if g(x)= 16
Answer:
X= -5
Step-by-step explanation:
Replace the g(x) with 16.
16= -3x +1
Move -3x on other side.
3x+16=1
Subtract one from both sides.
3x= -15
Divide both sides by 3 to get x by itself.
x= -5
Look at picture, please help
Answer:
x = 32
Step-by-step explanation:
Three angles have been shown in the figure which are located at a point of a straight line.
By the property of angles on a straight line,
Sum of the angles shown = 180°
(3x - 20)° + 30°+ (2x + 10)° = 180°
(3x + 2x) + ( -20 + 30 + 10) = 180
5x + 20 = 180
5x = 180 - 20
5x = 160
x = [tex]\frac{160}{5}[/tex]
x = 32
Therefore, x = 32 will be the answer.
Answer:
[tex]x = 32 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line =180°
[tex]3x - 20 + 30 + 2x + 10 = 180 \\ 5x + 20 = 180 \\ 5 x = 180 - 20 \\ 5x = 160 \\ \frac{5x}{5} = \frac{160}{5} \\ x = 32[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}
Answer:
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line
L+S = 17 3L + 2S=46
Please show your work
Answer:
S= 5, L= 12
Step-by-step explanation:
To find the value of L and S, we need to first label the 2 equations.
L +S= 17 -----(1)
3L +2S= 46 -----(2)
From (1):
L= 17 -S -----(3) (-S on both sides)
Subst. (3) into (2):
3(17-S) +2S= 46
3(17) -3S +2S= 46 (expand)
51 -S= 46
-S= 46 -51 (-51 on both sides)
-S= -5
S= 5 (divide by -1 throughout)
Subst. S=5 into (3):
L= 17 -5
L= 12
Wendy and her friend Sandra went to dinner. Their total food bill was $25.00. The tax was 7%. How much was the tax? How much was the bill including the tax?
Answer:
the answer is 175
Step-by-step explanation:
you will do 2500*7/100
Need HELP!!!! Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4. Include all of your work in your final answer.
Answer:
[tex]y - 5 = -4(x-5)[/tex]
Step-by-step explanation:
Given
Line coordinates: (5,5)
Perpendicular slope = [tex]\frac{1}{4}[/tex]
Required
Find the point slope form of the line
First, the slope of the line has t be calculated;
Given that two lines are perpendicular;
The relationship between there slopes is given as [tex]m_1.m_2 = -1[/tex]
Let m_2 represent the slope of the second line;
such that [tex]m_2 = \frac{1}{4}[/tex]
So;
[tex]m_1 * \frac{1}{4} = -1[/tex]
Multiply both sides by 4
[tex]m_1 * \frac{1}{4} * 4 = -1 * 4[/tex]
[tex]m_1 = -1 * 4[/tex]
[tex]m_1 = -4[/tex]
Now, the equation of the line can be calculated using slope formula;
[tex]m = \frac{y - y_1}{x- x_1}[/tex]
Where
[tex](x_1,y_1) = (5,5)\\m_1 =m = -4[/tex]
So; [tex]m = \frac{y - y_1}{x- x_1}[/tex] becomes
[tex]-4 = \frac{y - 5}{x- 5}[/tex]
Multiply both sides by x - 5
[tex]-4(x-5) = \frac{y - 5}{x- 5} * (x-5)[/tex]
[tex]-4(x-5) = y - 5[/tex]
Reorder
[tex]y - 5 = -4(x-5)[/tex]
Hence, the line in point-slope form is [tex]y - 5 = -4(x-5)[/tex]
A teenager's heart pumps an average of 7200 L of blood every 24 hours. What is the rate of change of volume of blood?
How to solve this:
1: 7200/24 = x/1
2: 7200/24 = 300/1
3: 300 L of blood per hour
We know that an average is 7200 for heart pumps so we divide 7200 by 24 hours = x/1
Second step is the same 7200 divided by 24 = 300/1
So the correct answer is 300. 300 L of blood per hour.
Answer: 300 L of blood per hour.
Please mark me brainliest.
Hope this helps.
The rate of change in the volume of blood is 300 liters per hour.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The volume of blood pumped by the teenager's heart is expressed as a rate of change in volume per hour.
Rate of change of volume of blood = volume of blood/time
= 7200 L /24
Apply the division operation, and we get
= 300 L/hour
The teenager's heart changes blood volume at a pace of 300 liters per hour. This means that his or her heart is pumping 300 liters of blood every hour.
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