Answers
Answer: -3
Step-by-step explanation:
0,4
2,2
Find slope: 2 - 4 = -2
2 - 0 = 2
-2/2 = -1 is slope
7 = -1x + 4
subsitute -1 for x
7 = -1(-1) + 4
1 + 4
The required simplified value of the x is -3 for f(x) = 7.
Given that,
To determine the value of x so that f(x)=7.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
As shown in the graph,
The slope of the line is m = -1
And points through which the line is passing are (0,4) and (4, 0)
The equation of the line is given as,
(y - 4) = -1 (x - 0)
y -4 = -x
y + x = 4
Now,
y = 4 - x
putting y = f(x)
f(x) = 4 - x
Now,
we have f(x) = 7
7 = 4 - x
x = -3
Thus, the required simplified value of the x is -3 for f(x) = 7.
Learn more about simplification here: https://brainly.com/question/12501526
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Related Questions
How many solutions does the following equation have? -6(x + 7) = -42 - 2
Answers
Answer:
x = 1/3 or .333
Step-by-step explanation:
if f(×)=3×/2+× find the exact value of f(-4)
Answers
A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
∘
C20, point, 66, degrees, start text, C, end text and a standard deviation of 2 ^\circ \text{C}2
∘
C2, degrees, start text, C, end text. The average temperature of Singapore is 26 ^\circ \text{C}26
∘
C26, degrees, start text, C, end text.
What proportion of average city temperatures are lower than that of Singapore?
You may round your answer to four decimal places.
Answers
Answer:
0.9962
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu=mean,\sigma=standard\ deviation, x=raw\ score[/tex]
μ = 20.66°C, σ = 2°C
For x < Singapore temperature, i.e. x < 26
[tex]z=\frac{x-\mu}{\sigma} =\frac{26-20.66}{2}=2.67[/tex]
From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962
PLEASE HELP ME WITH MY PERSONAL NARRATIVE ESSAY
Answers
its a personal essay...
How do i simplify the expression 6(x+2)-4
Answers
It would be 8
14:6 divided by 5 ( the 14:6 is a ration )
Answers
Explanation: always remember that a ratio is the same as a fraction. Convert 14:6 into a fraction then divide it by 5. Don’t forget to take the reciprocal.. just take a look at the pic
The water level at Lake Livingston last week was 3.45 inches below sea level. After a heavy rain, the lake measured 2.9 inches above sea level. What was the change in the water level?
Answers
Explanation:2.9 - -3.45 = -0.55
Pls give brainless
please answer this I really need help if you just take my points ill report I just need help pleassesssseessesesee!!!!!!!! (15 points!)
Answers
Answer:
1.b 2.a i hope this is right
Step-by-step explanation:
The heights of people of the same gender and similar ages follow Normal distributions reasonably closely. How about body weights? The weights of women aged 20 to 29 have mean 141.7 pounds and median 133.2 pounds. The first and third quartiles are 118.3 pounds and 157.3 pounds. Is it reasonable to believe that the distribution of body weights for women aged 20 to 29 is approximately Normal? Explain your answer.
Answers
Answer:
No it is not reasonable to believe that the that the distribution of body weights for women aged 20 to 29 is approximately Normal.
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 141.7 \ pounds[/tex]
The median is [tex]Q_2 = 133.2 \ pound[/tex]
The first quartile is [tex]Q_1 = 118.3 \ pound[/tex]
The third quartile is [tex]Q_3 = 157.3 \ pound[/tex]
Generally the Bowley's coefficient of skewness is mathematically represented as
[tex]B = \frac{ Q_3 +[ Q_1 -[2* Q_2}{Q_3 - Q_1}[/tex]
=> [tex]B = \frac{ 157.3 +[ 118.3 -[2* 133.2 }{157.3 - 118.3}[/tex]
=> [tex]B = 0.2359[/tex]
Give that the Bowley's coefficient is positive it means that the distribution of weight is positively skewed
Patulong naman sa business math HAHHA
Answers
If the triangles are similar, then the value of x is (blank) and the value of y is (blank)
I REALLY NEED HELP PLZZZ
Answers
Answer:
([tex]x[/tex], [tex]y[/tex]) = (30, 16)
Step-by-step explanation:
First find the similarity
Since you know the legnth of the hypotenuse (the longest one) for both traingles, you can find the similarity by dividing the longer by the shorter:
50 ÷ 20 = 2.5
The similarity between the 2 triangles is 2.5.
Now find the length of [tex]x[/tex] on the longer one, use the shorter one's length and the similarity:
12 × 2.5 = 30
So the length of [tex]x[/tex] is equal to 30
Now lets find [tex]y[/tex], lets use the length of the larger triangle this time and divide the length of the longer leg (there are 2 legs in every triangle, if you don't know the hypotenus's length, use the pythagorean theorem) and divide it by the similarity:
40 ÷ 2.5 = 16
[tex]y[/tex] = 16
WooHoo! ([tex]x[/tex], [tex]y[/tex]) = (30, 16)
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answers
Answer:
The answer will be $39 :)
Answer:
$39
Step-by-step explanation:
Which linear function represents the line given by the point-slope equation y + 7= -2/3 (x+6)
A) f(x) = -2/3x – 11
B) f(x) = -2/3x -1
C) f(x) = -2/3 + 3
D) f(x) = -2/3 + 13
Answers
[tex]y + 7 = - \frac{2}{3}(x + 6) \\ [/tex]
[tex]y + 7 = - \frac{2}{3}x - 4 \\ [/tex]
Subtract sides -7
[tex]y = - \frac{2}{3}x - 4 - 7 \\ [/tex]
Thus ;
[tex]y = f(x)= - \frac{2}{3}x - 11 \\ [/tex]
So the correct answer is (( A )) .
One tank is filling at a rate of 5/8 gallon per 7/10 hour. What is the unit rate per hour?
Answers
Answer:
7.14
Step-by-step explanation:
NEED HELP ASAP!!!!!
What is the equation of the line that passes through the points (3,8) and (7,2)?
Answers
Answer:
A is the answer.
Step-by-step explanation:
Slope is (2-8)/(7-3) = -3/2.
Using point-slope formula you have two possibilities:
y-8= -3/2(x-3) [choice A] or y-2 = -3/2(x-7) [not a choice)
Car Y travels 105 miles on 3 gallons of petrol. Car Z travels 80 miles on 9 litres of petrol.
Which car has better petrol consumption ( more miles per gallon)?
You may use the fact that 1 gallon =4.5 litres
Options are
A. None
B. Y
C. Z
Answers
Answer:
Car Z has better petrol consumption. Choice C. Z
Step-by-step explanation:
Petrol Consumption
Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon
Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.
This means that car Z has better petrol consumption. Choice C. Z
Both questions in picture! Will give brainliest!!
Answers
Answer:
See belolw
Step-by-step explanation:
[tex]P=53\text{ft}[/tex]
[tex]P = a+b+c[/tex]
[tex]53=2x-15+x+1+3x-29[/tex]
[tex]53=6x-43[/tex]
[tex]96=6x[/tex]
[tex]x=16[/tex]
[tex]a=2x-15[/tex]
[tex]a=2(16)-15[/tex]
[tex]\boxed{a=17}[/tex]
[tex]b=x+1[/tex]
[tex]b=16+1[/tex]
[tex]\boxed{b=17}[/tex]
[tex]c=3x-29[/tex]
[tex]c=3(16)-29[/tex]
[tex]\boxed{c=19}[/tex]
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]
marton charges $15 for every five bags of leaves he rakes last weekend he raked raked 20 bags of leaves how much money did he earn
Answers
Answer:
20*15=300
He earned $300
answerrrr plssssssssssssssssssssssssssssssssssss
Answers
Answer:
c
Step-by-step explanation:
because like it would happen in real life yk and the others dong make sense at all
tell me if its right
Answer:
c)scene
according to me
ASAP WILL GOVE BRAINLIEST FO YOU EXPLAIN AND GIVE ME ANSWER ASAP
Answers
Answer:
[tex]105 \frac{3}{10}[/tex], so most likely G
Step-by-step explanation:
[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]
First, we convert to a fraction. Then, we simplify.
What is the area of the triangle?
Answers
Answer:
4
Step-by-step explanation:
The formula of the area of a triangle is 1/2 times base times height
1/2 .4.2 equals 4
Easy 7th grade work sheet ! Please help , I’ll give brainliest (all answers)
Answers
2. -11
3. -6
4. 9
5. 8
6. 5
7. Simply place dots on the numbers stated, which are 11, -5, and -8.
8. The absolute value of a non-zero number is positive because absolute value is a magnitude, and is either positive or zero. The absolute value of any non-zero number can be thought of as its distance from zero, which will always be positive.
Please mark as branliest if i helped!!:)
which expression is the simplest for of -(3ₓ³+ₓ²)+2(ₓ³-4ₓ²)?
Answers
Answer:
5x^3-7x^2
Step-by-step explanation:
Answer: i think -26
Step-by-step explanation: (3ₓ³+ₓ²)+2(ₓ³-4ₓ²)=-26
Find roots (zeroes) of : F(x) = 5x3+x2-32
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 5 and the Trailing Constant is -32.
The factor(s) are:
of the Leading Coefficient : 1,5
of the Trailing Constant : 1 ,2 ,4 ,8 ,16 ,32
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -36.00
-1 5 -0.20 -32.00
-2 1 -2.00 -68.00
-2 5 -0.40 -32.16
-4 1 -4.00 -336.00
Note - For tidiness, printing of 19 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
-26
James has $40 to spend. He wants to buy 2 tickets to a show. He has to spend $7 to get where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2x+7 less than or equal to 40.
A.) x less than or equal to 23.5
B.) x less than or equal to 16.5
C.) x greater than or equal to 23.5
D.) x greater than or equal to 16.5
Answers
Answer:
B.) X less than or equal to 16.5
Step-by-step explanation:
If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.
Answer:
x ≤ 16.5
Step-by-step explanation:
40 ≤ 2t + 7 Subtract 7 from both sides.
40 - 7 ≤ 2t + 7 - 7
33 ≤ 2t Divide both sides by 2.
[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]
16.5 ≤ t or t ≥ 16.5
The length of a rectangle is 3 1/3 inches. The width is 1/5 of the length. Find the width
and the perimeter of the rectangle. Support your answer with a drawing.
Answers
Answer:
Question states;

.
w = 2/3in
.
Perimeter = 2*l + 2*w

.

P = 24/3in
P = 8in
Two integers a and b have a product of 30 what is the least possible sum of a and b
Answers
Answer:
6+5=11
Step-by-step explanation:
6*5=30
Lowest numbers possible
Please help i will give brainliest
Answers
Answer:
f(x)= 2/3x + 1
Step-by-step explanation:
Answer:
A. f(x) = 2/3x + 1
Step-by-step explanation:
Your y-intercept is + 1 because it the line crosses the y-axis at (0,1)
The slope is +2/3 because it rise up 2 units then right at 3 units; sloping to the right (positive slope)
What are the equivalent forms of the number shown in the model?
Word: _____
Fraction: _____
Decimal: _____
Answers
Answer:
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
Step-by-step explanation:
i got it right
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
As, per the diagram there are total of 10 columns out of which 8 are shaded blue.
So, if we write the fraction of shaded part it will be 8/10.
So, in word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
Learn more about fraction here:
https://brainly.com/question/10354322
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4(-2)(5)
What is the answer?
Answers
Answer:
-40
Step-by-step explanation:
Answer:
-40
-2 x 5=-10
You have the 4 and you need to multiply it by -10
-10 x 4 =-40
y=-3x-1 find slope and y interceapt
Answers
Slope = - 3
y-int = - 1
Step-by-step explanation:Understanding slope intercept
y = mx + b
y = Slope(x) + y-intercept
y = -3x - 1
y = (-3)x + (-1)
Slope = - 3
y-int = - 1
Hope this helps,