Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.
The function is:
[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]
The zeroes are:
[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]
Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.
Then:
[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]
Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].
A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253
a school community had planned to reduced the number of grade 9 students per class room by constructing additional class rooms. how ever ,they constructed 4 less rooms than they planned.as the result the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school,determine the current number of class rooms and the number of students per class
Chang made $156 for 13 hours of work at the same rate, how many hours would he have to work to make $108?
Answer:
9 hours
Step-by-step explanation:
"At the same rate" means time and wages are proportional.
time/wages = t/$108 = (13 h)/$156
t = 108(13 h)/156 . . . . . . . . . . . . . . . units of dollars cancel
t = 9 h
Chang would have to work 9 hours to make $108.
How i can answer this question
Answer:
6x
Step-by-step explanation:
7x-x = x ( 7-1) = 6x
Answer:
6 x
Step-by-step explanation:
Subtract x from 7 x .
What is the solution to the system of equations?
Answer:
(-2, 5/3)
Step-by-step explanation:
Substitute x with -2 and solve
y = 2/3(-2) + 3
Multiply 2/3 and -2
y = -4/3 + 3
Add
-4/3 + 3 = 5/3
y = 5/3
Final answer:
(-2, 5/3)
David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted
income, Ai? (show equation).
HELPP PLEASEEE
Answer:
75081
Step-by-step explanation: multiply 80950 by 0.9275
giving brainliest to anyone who solves this question CORRECTLY WITH NO LINKS
5 ti the fifth power + 16 divided by 19 times 20 plus one equals ?????
Answer:
3307.31578947
Step-by-step explanation:
Answer:
I believe it's [tex]\frac{62839}{19}[/tex], or 3307.31578947
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
brainliest will be immensely appreciated uwu
Need to review this problem for finals help pls
Answer:
Step-by-step explanation:
Slope form: y=mx+b
given slope and x intercept:
y=3x+b
let y=0
0=3(7)+b
b=-21
so:
ANSWER: y=3x-21
Need help on this one thanks
Answer:
Y = 10/7X + 4
Y intercept = 4
Slope = 10/7
X intercept = -40/7
Step-by-step explanation:
Incase you are asked the equation of the line
The slope intercept equation is as follows -
(1)....Y = mx + b
where m - Slope
b - Y - intercept
the standard formula of slope which is commonly referred to as "the rate of change" is -
(2) .....m= Y2 - Y1 / X2 - X1
in this case you can refer to the final and initial X and Y values directly from the small points on the line.
and so(3)..... - X1 = -6 X2 = 6
- Y2 = 9 Y1 = -1
the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.
thus, X = 0 & Y = 4 ( 0 , 4 )
now lets substitute our values(3) into the slope formula (equation 2)
m = 9 - - 1 / 6 - - 1 = 10/7
now that we found the line's slope, let's simply plug the y intercept
into the slope intercept formula (1)
Y = 10/7X + 4
Meg visited her Aunt Clare for lunch. After they ate, Aunt Clare made tea. She put the same amount of black tea and milk in both their cups, but Meg decided to add some extra milk to hers. Which cup of tea was darker after they had finished adding milk?
Answer:
Aunt Clare
Step-by-step explanation:
Milk makes tea weaker, therefore the one with less milk (Aunt Clare's) is darker.
Answer:Aunt clares is darker
5/12 of the pupils in yr9 say their favourite colour is red. There are 180 pupils in yr9. How many students said red is their favourite colour?
Answer:
75 students
Step-by-step explanation:
180*5/12=75
A Coke can has a radius of 4 cm and a height of 11 cm. What is the volume of the can?
Answer:
V ≈ 552.9 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height ) , then
V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )
Answer:
The volume of Coke can is 552.64 cm².
Step-by-step explanation:
Given :
✧ Radius of Coke can = 4 cm.✧ Height of Coke can = 11 cm.To Find :
✧ Volume of Coke canUsing Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]
✧ V = Volume ✧ π = 3.14 ✧ r = radius ✧ h = heightSolution :
Here's the Coke can is in cylindrical form.
So, finding the volume of Coke can by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{Volume_{(Can)} = \pi{r}^{2}h}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4)}^{2} \times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4 \times 4)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(16)}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314}{100} \times {16}\times 11}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314 \times 16 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{5024 \times 11}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{55264}{100}}}}[/tex]
[tex]{\dashrightarrow{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}[/tex]
[tex]\star{\red{\underline{\boxed{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}}}[/tex]
Hence, the volume of Coke can is 552.64 cm².
What is the value of b for the following circle in general form? x2 + y2 + ax +by+c=0
Answer:
Step-by-step explanation:
(1). (x - h)² + (y - k)² = r²
where (h, k) are coordinates of a center of the circle with radius r
(2). ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
help me with this question plz with an explanation
Answer:
374mm squared
Step-by-step explanation:
Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13
the rest is 14*23, which equals 322mm
add those together to get 374mm squared
Answer:
374 square millimeters
Step-by-step explanation:
First, we can split the shape into 2 rectangles.
This will give us a rectangle with a width of 13 and 10.
Let's work out 1 rectangle at a time.
Area of a rectangle=Width times by legth
13*18=234- This is the area of 1 of the rectangles.
10*14=140- This is the area of the second rectangle
Now we add the areas together to get 374 square millimeters, which is the area of this figure.
A study is testing the effectiveness of a new allergy medication. Sixty people who reported they experience allergies were randomly assigned to one of two groups: one with the new medication, and another with a placebo. After two weeks, the subjects were surveyed by technicians to determine their level of allergic symptoms.
Which of the following would benefit this experiment the most?
This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.
This experiment should be single blind. The subjects do not know which treatment they are receiving to control for the placebo effect, but the technicians need to know which group received which treatment.
This experiment should be single blind. The subjects know which treatment they are receiving but the technicians do not know which group received which treatment, so the response being measured is not affected.
This experiment should not use blinding. It is unethical for the subjects not to know which treatment they are receiving, placebo or new medication, and for the technicians not to know which group received which treatment.
The best method that would lead to a more effective study is:
This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.Double blind experiments are usually better than single blind experiments because they will account for experimenter bias which is where the technicians influence the project whether knowingly or unknowingly.
The placebo effect is also better studied because the participants will not know whether they are receiving a placebo or the real thing.
In conclusion, option A is correct.
Find out more about double blind experiments at https://brainly.com/question/9292513.
Answer:
A ON EDGE2022 :)))))))
Step-by-step explanation:
Could someone please help me
hi please help, I can't understand.
If the sides of a rectangle with area 12cm² are (3x-2) and (x+1)
a)X-? b)P-?
[tex](3x - 2)(x + 1) = 12 \\ = > {3x}^{2} - 2x + 3x - 2 = 12 \\ = > {3x}^{2} + x - 2 = 12 \\ = > {3x}^{2} + x - 12 - 2 = 0 \\ = > {3x}^{2} + x - 14 = 0 \\ = > {3x}^{2} + 7x - 6x - 14 = 0 \\ = > x(3x + 7) - 2(3x + 7) = 0 \\ = > (x - 2)(3x + 7) = 0 \\ = > x = 2 \: \: \: or \: \: \: \frac{ - 7}{3} \\ [/tex]
But a negative number cannot be the side of a rectangle.So, x = 2 cmNow, length = (3x - 2) = (3 × 2 - 2) cm = (6 - 2) cm = 4 cmBreadth = (x + 1) = (2 + 1) cm = 3 cm.We know, perimeter of a rectangle = 2( length + breadth)Therefore, the perimeter of the rectangle[tex] = 2(4 + 3)cm \\ = 2 \times 7cm \\ = 14cm[/tex]
Answer:
The value of x is 2 cm and the perimeter of the rectangle is 14 cm.
Hope you could get an idea from here.
Doubt clarification - use comment section.
A marquee with the dimensions as shown is
made from canvas. The marquee has no floor.
Find the total cost of the canvas if it costs
$31.50 per square metre.
Answer:
$63.00
$31.50×2=$63.00
Help! Help! HELP!!
Find the value for x
Answer:
21
Step-by-step explanation:
5(21)-12=93
3(21)+30=93
Is the slope of AC the same as the slope of DF? Explain
Answer:
yes
Step-by-step explanation:
because df is -2/3 and ac is -6/9 which is the same as -2/3
Simplify, and Write answer without parentheses
Answer:
w^18
Step-by-step explanation:
exponents are multiplied when there is a parenthesis between them
Answer:
[tex]w^{18}[/tex]
Step-by-step explanation:
the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.
9e +4= -5e + 14+ 13e
step by step pls
Answer:
e = 10
Step-by-step explanation:
9e +4= -5e + 14+ 13e
combine like terms on left side of the equation : -5e + 13e = 8e
9e + 4 = 8e + 14
subtract 8e from both sides : 9e - 8e = e and 8e - 8e cancels out
e + 4 = 14
subtract 4 from both sides : 4 - 4 cancels out and 14 - 4 = 10
we're left with e = 10
Solve the quadratic equation 2x2 – x = 15 using the quadratic formula.
Question 6 options:
A)
x = –3, x = –5∕2
B)
x = –3, x = 5∕2
C)
x = 5∕2, x = 3
D)
x = – 5∕2, x = 3
which one is right. keep it simple
Answer:
B) x = 3 or x = -5/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - x = 15
Subtract 15 from both sides:
2 x^2 - x - 15 = 0
x = (1 ± sqrt((-1)^2 - 4×2 (-15)))/(2×2) = (1 ± sqrt(1 + 120))/4 = (1 ± sqrt(121))/4:
x = (1 + sqrt(121))/4 or x = (1 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (1 + 11)/4 or x = (1 - 11)/4
(1 + 11)/4 = 12/4 = 3:
x = 3 or x = (1 - 11)/4
(1 - 11)/4 = -10/4 = -5/2:
Answer: x = 3 or x = -5/2
what is 5 7/20 written as a decamal
Answer:
5 7/20 as a decimal is 5.35
Hope that helps. x
Answer:
Step-by-step explanation:
If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35
Find the total surface of :
Answer:
=2112cm²
Step-by-step explanation:
radius=14cm
height=10cm,
Curved surface area of cylinder=2πrh
=2×22÷7×14×10
=880cm²
Base area of cylinder=πr²
=22÷7×14×14
=616cm
Whole surface area of cylinder=2πr(r+h)
=2×22÷7×14(14+10)
=2×22÷7×14(24)
A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Monthly cost with 9 slices:
Monthly cost with xx slices:
Mattie Evans drove 350 miles in the same amount of time that it took a turbopropeller plane to travel 1350 miles. The speed of the plane Has 200 mph faster than
the speed of the car. Find the speed of the plane.
(Simplify )
let
d1 = 250 mi the distance that Mattie Evans drove
v1 = the speed of Mattie Evans
d2 = 1300 mi the distance the plane traveled
v2 = the speed of the plane
The speed of the plane was 190 mph faster than the speed of the car:
v2 = v1 + 190
since time = distance/speed and they both traveled the same time we have
d1/v1 = d2/v2
250/v1 = 1300/v2 cross multiply
250v2 = 1300v1 divid eboth sides by 50
5v2 = 26v1
by solving the system of equations:
v2 = v1 + 190
5v2 = 26v1
we find
v1 = 45.24 mph
v2 = 235.24 mph
What is a bond and how do you make money from it?
Answer:
Bonds are among a number of investments known as fixed-income securities. They are debt obligations, meaning that the investor loans a sum of money (the principal) to a company or a government for a set period of time, and in return receives a series of interest payments (the yield).
Step-by-step explanation:
I will give brainiest to the best answer.
what is half of the square root of 72?
Plz answer in square root form. Thank you
Answer:
3sqrt(2)
Step-by-step explanation:
72=6^2 x 2 so sqrt(72)=6sqrt(2)
divide by 2 to get 3sqrt(2)
Answer:
[tex]answer \: is \: = \: \sqrt[6]{2} [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchmet \: [/tex]
Hope this helps you !!Can someone help me please?
Answer: a=(3,-4)
B=(3,-1)
C=(5,-2)
Step-by-step explanation:
please help me with this question
at the first blank there are options either (y-intercept, slope, x-intercept)
second blank (positive, negative, 0, a whole number)
Answer:
y-intercept
zero
Step-by-step explanation:
We can determine the differences between proportional and non-proportional situations or relationships. We all need to know that linear relationships can be represented as tables, words, equations, and graphs. The non-proportional relationship will affect the y-intercept in the graph and it will no longer than zero and the ratios in the table not be proportional.