Answer:
Explanation: to find the x-intercepts, that is the points on the x-axiswhere the graph crosses
x2−5x−24=0←in standard formfactorise the quadratic using the a-c methodthe factors of - 24 which sum to
- 5 are - 8 and + 3⇒(x−8)(x+3)=0equate each factor to zero and solve for
xx−8=0⇒x=8←x-interceptx+3=0⇒x=−3←x
-interceptgraph{x^2-5x-24 [-10, 10, -5, 5]}
Delta math: Angle Terminology with Equations
Answer:
m∠A = 139°
Step-by-step explanation:
First we must know that
Supplementary angles equal to 180 degree.
Since we know that supplementary angles equal to 180 degree we can solve now:
Putting m ∠A and m ∠ B together and put the = 180
( 7x - 15 ) + ( 2x - 3 ) = 180
Now solving for x:
( 7x - 15 ) + ( 2x - 3 ) = 180
9x - 18 = 180
9x - 18 + 18 = 180 + 18
9x = 198
9x/9 = 198/9
x = 22
Hence, Angle A will have a measure of 7x - 15 which means 7 × 22 -15 = 154 - 15 = 139°
m∠A = 139°
The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°
m∠ B = 41°
139 + 31= 180
[RevyBreeze]
Supplementary angles have sum 180°
7x-15+2x-3=1809x-18=1809x=198x=198/9x=22m<A
7(22)-15=154-15139Points R(-6,-5),S(-2,-5) and T(-2,n) are plotted in the coordinate plane. The distance between points R and S is half the distance between points S and T. The value of n could be blank or blank.
The square of the distance between two points is the sum of the squares of the difference between two coordinates. The value of n can be -13 or 3.
What is the distance between two points?The distance between two points is given by the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
As it is given that the distance between points R and S is half the distance between points S and T.
[tex]2(RS) = ST[/tex]
Now, the distance between RS can be written as,
[tex]RS=\sqrt{[-6-(-2)]^2+[-5-(-5)]^2}\\RS = \sqrt{(-6+2)^2+(0)^2}\\RS = \sqrt{16}\\RS = \pm 4[/tex]
Further, we can write,
[tex]2(RS) = ST\\\\2(\pm 4) = \sqrt{[-2-(-2)]^2+[-5-n]^2}\\\\\pm 8 = \sqrt{(0)^2+(-5-n)^2}\\\\\pm 8^2=(-5-n)^2\\\\\pm8=(-5-n)\\\\[/tex]
When the value of 8 is positive,
[tex]+8+5=-n\\\\13=-n\\\\n=-13[/tex]
When the value of 8 is negative,
[tex]-8+5=-n\\\\-3=-n\\\\n=3[/tex]
Hence, the value of n can be -13 or 3.
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7) It Snowed 55" this winter. Last winter it snowed 60". What is the approximate percent declir
in snowfall this winter?
a. 8%
b. 9%
C. 10%
d. 11%
Let's see
[tex]\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{5}{60}\times 100[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{50}{6}[/tex]
[tex]\\ \rm\dashrightarrow 8.3\%[/tex]
See the picture below.
Answer:
in photo
Step-by-step explanation:
remember you still need to round it to 2 decimal places!!
Which number is equivalent to 3.4/3.2?
A. 2
B. 9
C. 81
D. 729
Answer:
1.0625
Step-by-step explanation:
3.4 divided by 3.2 = 1.0625 Did you enter your Q and A correctly ?
Nicole bought a meal in a town that has no sales tax. She tips 20%. Select all meals Nicole could buy with less than $16 total.
A-$12. 36
B-$12. 50
C-$13. 00
D- $14. 79
E- $14. 99
Answer:
I'm missing some information... but I'll answer the question regardless
x=the cost of the meal
1.2x≤$15
divide both sides by 1.2
x≤$12.5
In short, this means that Nicole can buy anything that costs $12.50 or less.
A country pledges to reduce its annual CO2
emissions by 5% per year. If the emissions in
2022 are 6,080 Mt (metric megatons), what are
the maximum allowable emissions in the year
2029?
A country pledges to reduce its annual CO₂ emissions by 5% per year, the maximum allowable emissions in the year 2029 is, 4245.89 Mt
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
A country pledges to reduce its annual CO₂ emissions by 5% per year
The emissions in 2022 are 6,080 Mt
The maximum allowable emissions in the year 2029 = ?
In 2022 CO₂ emission = 6,080 Mt
5% reduces next year
So, In 2023
CO₂ emission = 6080(1 - 0.05)
In 2024
CO₂ emission = 6080(1 - 0.05)(1 - 0.05)
So after 7 years in 2029
CO₂ emission = 6080(1 - 0.05)⁷
= 4245.89
Hence, the maximum permissible emission is 4245.89 Mt
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A dime has a radius of 8.5 millimeters. Find the circumference of a dime to the nearest tenrh
The table below shows the cost of a monthly gym membership.
Which equation would you use to find the total cost,
T, of the gym membership for m months?
1. T=30m+25
2. T=15m
3. T=30m+15
4. T=45m
Answer: $15+( 30×the number of months)
The third answer iis right.
Step-by-step explanation: First month you pay 15 And you top up with 30 every month
Answer:
3
Step-by-step explanation
bc you need to look at one month and its 45 each month its 30 + 15
120 students were surveyed about which vegetable is their favorite.
Answer:
48 Students
Step-by-step explanation:
It is given that the total number of students is 120, and to find the amount of students that chose carrots or potatoes as their favorite vegetable multiply the percentage by 120 and add. 120 * .1 = 12. 120 * .3 = 36. 36 + 12 = 48.
Answer:
48 Students
Step-by-step explanation:
Thank you for answering this question.
Note the rules
a^m×a^n=a^m+n(a^m)^n=a^mn[tex]\\ \rm\Rrightarrow \dfrac{7^{12}7^9}{(7^6)^3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{7^{21}}{7^{18}}[/tex]
[tex]\\ \rm\Rrightarrow 7^3[/tex]
[tex]\\ \rm\Rrightarrow 729[/tex]
By definition, theoretical probability is equal to:
A.
No. Of favorable outcomes
Total no. Of possible outcomes
B.
No. Of total outcomes
Total no. Of impossible outcomes
No. Of total outcomes
C.
Total no. Of possible outcomes
D.
No. Of possible outcomes
Total no. Of favorable outcomes
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The Correct choice is A
Theoretical probability is defined as number of favorable outcomes out of Total possible outcomes.
That is :
[tex]\qquad \tt \dashrightarrow \: \dfrac{ \texttt{No. of favorable outcomes}}{ \texttt{Total number of possible outcomes}}[/tex]
By definition, Theoretical probability is equal to,
⇒ Number of favorable outcomes / Total no. of possible outcomes.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
To find the definition of Theoretical probability.
Now, We know that;
Theoretical probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.
Hence, By definition, Theoretical probability is equal to,
⇒ Number of favorable outcomes / Total no. of possible outcomes.
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Two times the sum of four times a number plus six is the same as five less than twice the same number what is the number?
Answer:
[tex]\frac{-17}{6}[/tex]
Step-by-step explanation:
Let x be the number we want to find.
First we analyze the given informations
Info 1 : Two times the sum of four times a number plus six
We translate this statement (info 1) mathematically as : 2×(4x + 6)
Info 2 : five less than twice the same number
We translate this statement (info 2) mathematically as : 2x - 5
Info 1 is the same as Info 2 ⇔ 2×(4x + 6) = 2x - 5
2×(4x + 6) = 2x - 5
⇔ 8x + 12 = 2x - 5
⇔ 8x - 2x = -5 - 12
⇔ 6x = - 17
⇔ x = -17/6
PLEASE HELP !!! FIND THE SLOPE OF THE LINE
Slope=1
Solution:There are several ways to find the slope. Here's one of them:Pick two points on the line, plug them into the slope formula and simplify.I chose the following points: (-1, 0) and (0, 1)Plug them into the formula:[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{1-0}{0-(-1)} =\frac{1}{0+1} =\frac{1}{1}=1[/tex]Hope it helps.
Do comment if you have any query.
Answer: Slope=1
Step-by-step explanation:
I need this answered please
Answer:
80 yds^2
Step-by-step explanation:
A=2(wl+hl+hw)=2·(2·2+9·2+9·2)=80
Find the distance between the points ( – 4,8) and ( – 4, – 5)
Answer:
they are 13 points away from eachother
Step-by-step explanation:
count up or down then left or right
Answer:
13 units.
Step-by-step explanation:
Distance = √[(x2-x1)^2 + (y2-y1)^2] where (x1,y1) and (x2,y2) are the 2 points
So here the distance = √(-4 - -4)^2 + (8 - -5)^2)
√(0 + 13^2)
= 13
A botanist is using two types of plants for an experiment. she writes inequalities to model the constraints on the number of each type of plant she can use. she uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function. if that vertex is (5, 39), what do the coordinates represent? buying five of one type of plant and 39 of the other type of plant results in the lowest cost. buying five of each type of plant costs $39, which is the lowest possible cost. the lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought. the lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.
The coordinates represent the numbers of plants of each type she can use and minimize the cost
Let x be the number of plants of one type.
y be the number of plants of the other type.
What is the meaning of the vertex of the feasible region?
The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.
We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).
That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.
Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.
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Answer:
Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST
Line A has a slope of 6. Line B has a slope of -1/6. Are these lines perpendicular?
Answer:
Yes
Step-by-step explanation
Lines are perpendicular when they have the reprocial slope with the opposite sign.
Yes, the lines having slopes 6 and -1/6 are perpendicular.
What is slope?The slope of a line is a number that describes the direction of the line. The formula of calculating slope is calculated as under:
Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].
How to identify perpendicular lines?We have been given that the slope of line A is 6 and slope of line B is -1/6.
Two lines are seem to be perpendicular to each other if the product of their slopes is equal to -1.
Product=slope of line A * Slope of line B
=6*(-1/6)
=-6/6
=-1
Hence the lines having slopes 6 and -1/6 are perpendicular to each other.
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The product of two rational numbers is 6 If one of them is 8 find the other numbers
Answer:
3/4
Step-by-step explanation:
8x = 6
x = other number = 6/8 = 3/4
rewrite the function in an equivalent form the would reveal the vertex of the function f(x)=x^2+8x+6
Answer:
f(x)=(x+4)-10
Step-by-step explanation:
Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.
The vertex is (-4, -10)
Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.
The equation we rewrite is f(x)=(x+4)-10
7th grade math escape room: geometry Math in the Midwest 2019
An example of 7th grade geometry Math in the Midwest 2019 is Puzzle: Simplify -5 + 8 - 7.
What is geometry ?Geometry is known to be an aspect of mathematics that deals with the study of sizes, positions of angles, and others.
To simply the above, -5 + 8 - 7, follow the rule of BODMAS. and thus: we solve for addition before subtraction.
= -5 + 8 = 3
3 - 7 = -4
Therefore the simplified form of -5 + 8 - 7 is -4
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3. A square pyramid has a base with a side length
of 3 ft and lateral faces with heights of 2 ft. What
is the lateral area of the pyramid?
The lateral area of the pyramid is 15!
An expression is shown in the photo, which statement is true about the expression? Options are in the photo.
Answer:
It is irrational and equal to 4square root 2
Please help me with this!!! (Please no scams or fake answers)
Step-by-step explanation:
maybe if i reply I'll get points or whatever
Please, Please, Please Help MEE!! ASAP!
1a. 35
b. 17.5
c. 3.5d
2. $4.5
2/5+7/20 can y’all help me
Answer:
3/4
hope this helps. have a nice day :>
Pls help I need this
Step-by-step explanation:
I hope this helps, you take the substitution and put it in where the variable once was in parenthesis, then you let them interact as the vaiable onece was but now you can solve because you know the value.
What is 112.491 written in word form?
Answer:
112.491 = one hundred twelve and four hundred ninety-one
thousandths.
Step-by-step explanation:
Which of the following points lies on the circle x2 + y2 = 400
Answer:
C is the answers for the question
Sarah deposited $920 into a savings account 6 years ago. The account earns 7 --% interest, compounded annually. How much 3 interest has she earned? Answer in dollars and round to the nearest cent.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$920\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases}[/tex]
[tex]A=920\left(1+\frac{0.07}{1}\right)^{1\cdot 6}\implies A\approx 1380.67~\hfill \underset{earned~interest}{\stackrel{1380~~ - ~~920}{\approx 460.67}}[/tex]