Answer:
When x = -3 y = -1
When x = -3/4 y = 7/2
Step-by-step explanation:
y = 4x^2 + 17x + 14
y = 2x + 5
Set each equation equal to each other
4x^2 + 17x + 14 = 2x + 5
Subtract 2x from each side
4x^2 + 17x-2x + 14 = 2x-2x + 5
4x^2 + 15x + 14 = 5
Subtract 5 from each side
4x^2 + 15x + 14-5 = 5-5
4x^2 + 15x +9 = 0
Factor
(4x+3) ( x+3) =0
Using the zero product property
4x+3 =0 x+3 =0
4x = -3 x=-3
x = -3/4 x=-3
Now we need to find y for each x
x =-3 y = 2x+5 =2(-3)+5 = -6+5 = -1
When x = -3 y = -1
x = -3/4 y = 2(-3/4) +5 = -3/2 +5 = 7/2
When x = -3/4 y = 7/2
Please answer for brainliest!
Answer:
t>28
Step-by-step explanation:
What is the solution to the linear equation?
–12 + 3b – 1 = –5 – b
b = –2
b = –1.5
b = 1.5
b = 2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
The linear equation is:
–12 + 3b – 1 = –5 – b
Collect like terms
-12 - 1 + 5 = -b - 3b
Simplify the rearranged equation
-8 = -4b
Divide both sides by -4
[tex]\frac{-8}{-4} = \frac{-4b}{-4}[/tex]
The given expression, after dividing both sides by -4, will give:
2 = b
Rewriting the resulting solution:
b = 2
Therefore, the solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
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A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answer:120 minutes.
Step-by-step explanation:
look, 12x8x5=480, and 480/4-120
-15b - 20
factorise fully
!!!
Answer:
-5 (3b+4)
Step-by-step explanation:
-15b - 20
-5 (3b+4)
Question is on a picture
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex] {4}^{2} - ( { - 2}^{2} ) \\ 16 - 4 \\ 12[/tex]
what 5-2 to the power of 5
Answer:
243
Step-by-step explanation:
(5-2) = 3
3 to the power of 5 is 3x3x3x3x3
3x3x3x3x3 = 243
Answer:
(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243
Step-by-step explanation:
Please help and explain!! I WILL MARK BRAINLIEST
Answer:
plot a graph and count it
Step-by-step explanation:
midpoint is the middle point of the line. it can be found by dividing the length of the line by 2 then counting inwards by that number.
PLEASE HELP ASAP, WILL MARK BRAINLIEST
Answer:
[tex] \sqrt{5} < 2.9 \\ = true \\ \\ 4 > \sqrt{23} \\ = false \\ \\ \frac{ \sqrt{30} }{5} < \frac{7}{5} \\ = true[/tex]
Hopes it helps you ☺️☺️Thank you ☺️☺️
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
Answer:
$ 2.30
Step-by-step explanation:
Given that the sales tax rate [tex]= 8\frac{1}{2}\%=8.5\%[/tex]
The cost of the book is $ 12.99.
So, the tax on the book= 8.5% of 12.99
[tex]= \frac {8.5}{100}\times 12.99[/tex]
=1.10
So, the sales tax on the book is $ 1.10.
The cost of the video game is $ 39.99.
So, the tax on the book= 8.5% of 39.99
[tex]= \frac {8.5}{100}\times 39.99[/tex]
=3.30
So, the sales tax on the book is $ 3.40.
The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30
So, the tax on the video game is $ 2.30 more than then tax on the book.
When you mix two colors of paint in equivalent ratios, the resulting color is always the same.
Use the table below to help you answer the following question.
How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?
what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)
Answer:
y = 3 x − 29
Step-by-step explanation:
First, let's find the slope of the line
y = 3 x + 2
As the equation is already in slope-intercept form
y = m x + c
Slope = 3
Let a point ( x , y ) be on the new line.
By finding the slope again,
y − 1 x − 10 = 3
y − 1 = 3 ( x − 10 )
y − 1 = 3 x − 30
Which can then be converted to different forms:
Standard form:
3 x − y = 29
Equation form:
3 x − y−29 = 0
Slope-intercept form:
y = 3 x − 29
graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}
Leah bought a dress for the school dance that was priced ar $98.25. If the sales tax is 7.25%, how much money is added to the price?
Answer:
105.37
Step-by-step explanation:
Problem Solving (M1) About 100,000 people live in a town. The number 100,000 can be written as 10n, where n is a whole number. What is the value of n? How can you prove your answer? Explain your thinking. (Look at your exponent chart. It can help you!!) The value is 6 because there are 6 zeros and you have to count the zeros to get the answer.
Answer:
n = 5
Step-by-step explanation:
100,000 = 10^n
Take the log of both sides
log 100,000 = log 10^n
log 100,000 = n * log 10
Dividing both sides by log 10
log 100,000 / log 10 = n * log 10 / log 10
n = log 100,000 / log 10
= 5 / 1
n = 5
Can some one help me ASAP please
Answer:
5
Step-by-step explanation:
Do #1 a-f please 15 points
Answer:
1a expression
1b equation
1c equation
1d expression
1e expression
1f equation
Step-by-step explanation:
Equations have an equals sign, while expressions do not.
1a expression
1b equation
1c equation
1d expression
1e expression
1f equation
Answer:
A Expression B Equation 2 1/4 C Equation 3 2/3 D Expression E Expression F Equation
Step-by-step explanation:
To the nearest tenth, how many inches equal 12.55 centimeters? (1 in. = 2.54 cm)
Answer:
5.1
Step-by-step explanation:
all you do is divide 12.55 by 2.54
Answer:
5 inches.
Step-by-step explanation:
If each inch is 2.54, you basically have to divide 12.55 divided by 2.54. Which would equal 4.94094488189. That would round to 5, which means approximately, it equals 5 inches.
Sorry if this is incorrect, but I do believe it is correct, have a good day!
PLEASE HELP ME!!!! l.........
Answer:
your answer is second option, maybe
Answer:
second choice 100% sure
Answer for brainliest!!!! YOU CAN DO IT!!!
what is the question pls.
can you pls tell me
salma cut a wire into 4 equal pieces. the wire was originally 7.88 meters long. how long is each piece?
Answer:
1.97 meters long
Step-by-step explanation:
divide meters by pieces
Please make me Brainliest
The length of each piece is 1.97 meters.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length of the wire = 7.88 meters
Number of wire cut into equal pieces = 4
The length of each equal piece.
= 7.88 ÷ 4
= 7.88/4
= 1.97 meters
Thus,
The length of each wire is 1.97 meters.
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8oz./1 cup = ?/12 cups. How many ounces are in 12 cups?
Answer:
12cups=96oz.
Step-by-step explanation:
multiply the volume value by 8
12 oz equals 1.50 cups. 1 ounce is equivalent to 0.125 cups, and there are 1.50 cups in 12 ounces.
Curtis charges a flat fee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles.
Answer: The amount would be $3.70
Step-by-step explanation: 0.20x6=1.20+2.50=3.70
Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?
Answer:
Her mean quiz score is 92.25%.
Answer:
92.25
Step-by-step explanation:
Mean is the same as average. Add all the scores together and then decide by the number of scores.
(92+94+100+83)÷4
369÷4=92.25
An artery of radius 3 mm sends blood to three smaller arteries that are all the same size. Each of the smaller arter
much blood to flow as the larger artery does. What is the radius, in mm, of one of the smaller arteries?
A)
3
B)
3T1
C)
V3
D)
2/3
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
Treating this as a geometry problem, not a fluid dynamics problem, we assume the area of the smaller vessels must total that of the larger one. Then the ratio of areas of the smaller vessels to the larger one is 1/3. The ratio of radii is the square root of that: 1/√3.
Then the radius of the smaller arteries must be ...
(3 mm)(1/√3) = √3 mm
What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?
Answer: 13% increase?
Step-by-step explanation: 19-6=13 which means it would be 1.13 the original amount?
Answer:
1.13
Step-by-step explanation:
A 6% decrease would be 0.94 and a 19% increase after that would be 1.13
Find the slope of the line through each pair of points. (9.-14). (8-8)
Answer:
-6
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -8- -14)/( 8 -9)
= ( -8+14)/( 8 -9)
6/-1
-6
Answer:
[tex]\boxed {\tt m= -6}[/tex]
Step-by-step explanation:
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points given.
The points are (9, -14) and (8,-8). Therefore,
x₁=9
y₁= -14
x₂= 8
y₂= -8
Substitute the values into the formula.
[tex]m=\frac{-8 - -14}{8-9}[/tex]
[tex]m=\frac{-8 +14}{8-9}[/tex]
Solve the numerator.
[tex]m=\frac{6}{8-9}[/tex]
Solve the denominator.
[tex]m=\frac{6}{-1}[/tex]
Divide 6 by -1.
[tex]m= -6[/tex]
The slope is equal to -6
If m_3 = 29°, what is m_4?
0
m_4 =
Answer:
151°
Step-by-step explanation:
angle m_3 and m_4 must add up to 180 because they both lie on a straight line. Thus, we can do 180-29 to get m_4.
Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
PLEASE HELP ME
Answer:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
Write the problem as an equation like this
11x+7x=76
Now make an equation for the number of purchased tickets. Let x be adult and y be students.
x+y=8
Rewrite x + y = 8 as y = -x +8
Substitute y = -x + 8 into the first equation for y.
11x+7(-x+8)=76
11x+(-7x)+56=76
solve for 11x+(-7x)
4x+56+76
subtract 56 from both sides
4x=20
Divide both sides by 4
X=5
x + y = 8
5 + y = 8
y = 3
5 Adult tickets were purchased and 3 student tickets were purchased.
5 adult tickets and 3 student tickets were purchased.
What are system equations?
A finite set of simultaneous equations are called system equations.
Let, they purchased x tickets for adults and y tickets for students.
Therefore, system equations are:
x + y = 8 ----- equation 1
11x + 7y = 76----- equation 2
From equation 1, we get: x = (8 - y)
Now, substituting the value of x in equation 2, we get:
11 × (8 - y) + 7y = 76
⇒ 88 - 11y + 7y = 76
⇒ 88 - 76 = 4y
⇒ 4y = 12
⇒ y = 3.
Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.
Hence, 5 adult tickets and 3 student tickets were purchased.
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F(x)=e*1/x
Calculate f'(x)
Answer:
[tex]\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}[/tex]
Step-by-step explanation:
[tex](e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================[/tex]
[tex]f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}[/tex]
What is the length of each leg of the triangle below?
A. Square root of 11
B. Square root of 22
C. 1
D. Square root of 11 and 2
E. 11
F. 15
A. square root of 11 is it
The required length of the legs of triangle is 11√2. Option D is correct.
From figure
Hypotenuse = 22
Angles of leg = 45°
The triangle is geometric shape which includes 3 sides and sum of interior angle equal to 180°.
Let the length of the legs be x
sin45 = perpendicular/Hypotenuse
1/√2 = x/22
x = 11√2
Thus, the required length of the legs of triangle is 11√2.
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Find the mistake made in the steps to solve the equation below
Answer:
C. Step 3 is incorrect and should be x=10/8
Answer:
c. step 3 is incorrect and should be x=10/8