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Ilya [14]
2 years ago
9

horatio climbed to the top of a ladder thst is 10 feet high. which number is the opposite of the number that represents horatios

height
Mathematics
1 answer:
dexar [7]2 years ago
5 0
Opposite of 10 feet high is -10 feet high (- is negative)
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Given the function f(x)=4x+10 and g(x), which function has a greater slope?
ladessa [460]

The complete question is

"Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?

x g(x)

2 5

4 7

6 9

f(x) has a greater slope. g(x) has a greater slope. The slopes of f(x) and g(x) are the same. The slope of g(x) is undefined."

The correct option from the given function are A; f(x) has a greater slope.

<h3>What is the slope of a line which passes through points ( p,q) and (x,y)?</h3>

Its slope would be:

m = \dfrac{y-q}{x-p}

The slope of a function in the form of y = mx + C is m,

So the slope in the function

f(x)=4x+10

m = 4

Now when you have a function but you only have a table to evaluate it, to calculate the slope

(p, q) = (4, 7)

(x, y) = (6, 9)

This means that:

m = \dfrac{y-q}{x-p}\\\\m = \dfrac{9-7}{6-4}\\\\m =1

Now that we have both slopes, the slope of g(x) = 1 and the slope of f(x) =4,

Thus, f(x) has a greater slope than g(x).

Learn more about slope here:

brainly.com/question/2503591

#SPJ1

8 0
1 year ago
What is the value of z so that-9 and 9 are both solutions of x^2+z=103?
notka56 [123]
If the sol'ns are -9 and 9, then we can use this to form our eq'n:
(x - 9)(x + 9) = 0
x^2 - 81 = 0
so...
x^2 + z - 103 = x^2 -81
z - 103 = -81
z = -81 + 103
z = 22
8 0
2 years ago
One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples
JulijaS [17]

Answer:

Step-by-step explanation:

Hello!

To test if boys are better in math classes than girls two random samples were taken:

Sample 1

X₁: score of a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: Score in the calculus of a girl

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate per CI the difference between the mean percentage that boys obtained in calculus and the mean percentage that girls obtained in calculus, you need that both variables of interest come from normal populations.

To be able to use a pooled variance t-test you have to also assume that the population variances, although unknown, are equal.

Then you can calculate the interval as:

[(X[bar]_1-X[bar_2) ± t_{n_1+n_2-2;1-\alpha /2} * Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }]

Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11

t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708

[(82.3-81.2) ± 1.708* (6.11*\sqrt{\frac{1}{15}+\frac{1}{12}  }]

[-2.94; 5.14]

Using a 90% confidence level you'd expect the interval [-2.94; 5.14] to contain the true value of the difference between the average percentage obtained in calculus by boys and the average percentage obtained in calculus by girls.

I hope this helps!

3 0
3 years ago
Confused at "Evaluate the algebraic expression 6g - 11 for g = – 5". How am I supposed to evaluate?
Varvara68 [4.7K]
6g - 11
6 (-5) - 11
-11 - 11
-22
5 0
2 years ago
The equation y=15x+60 represents the total cost y,the security fee,and The hourly rate for renting a tool for x hours .Make a ta
Tamiku [17]

Here is a table that will help you understand. And the answer.

7 0
3 years ago
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