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Simora [160]
4 years ago
15

9 and Idk if I did 10 or 11 right

Mathematics
1 answer:
Sergeeva-Olga [200]4 years ago
7 0
10-
 15 + 15 = 30
11 + 11 = 22
30 + 22 = 52
52 + 9 = 61
11-
11 + 10 + 16 = 37
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For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.
IrinaVladis [17]

Answer:

Two negatives

Step-by-step explanation:

I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!

5 0
3 years ago
What is 290 divided by 375.
avanturin [10]
Your answer would be 58/75 or in decimal <span>0.77333333333

Hope that helps!
~Take care!~ :-3</span>
4 0
3 years ago
Remember to show work and explain. Use the math font.
MrMuchimi

Answer:

\large\boxed{1.\ f^{-1}(x)=4\log(x\sqrt[4]2)}\\\\\boxed{2.\ f^{-1}(x)=\log(x^5+5)}\\\\\boxed{3.\ f^{-1}(x)=\sqrt{4^{x-1}}}

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\n\log_ab=\log_ab^n\\\\a^{\log_ab}=b\\\\\log_aa^n=n\\\\\log_{10}a=\log a\\=============================

1.\\y=\left(\dfrac{5^x}{2}\right)^\frac{1}{4}\\\\\text{Exchange x and y. Solve for y:}\\\\\left(\dfrac{5^y}{2}\right)^\frac{1}{4}=x\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{(5^y)^\frac{1}{4}}{2^\frac{1}{4}}=x\qquad\text{multiply both sides by }\ 2^\frac{1}{4}\\\\\left(5^y\right)^\frac{1}{4}=2^\frac{1}{4}x\qquad\text{use}\ (a^n)^m=a^{nm}\\\\5^{\frac{1}{4}y}=2^\frac{1}{4}x\qquad\log_5\ \text{of both sides}

\log_55^{\frac{1}{4}y}=\log_5\left(2^\frac{1}{4}x\right)\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\\dfrac{1}{4}y=\log(x\sqrt[4]2)\qquad\text{multiply both sides by 4}\\\\y=4\log(x\sqrt[4]2)

--------------------------\\2.\\y=(10^x-5)^\frac{1}{5}\\\\\text{Exchange x and y. Solve for y:}\\\\(10^y-5)^\frac{1}{5}=x\qquad\text{5 power of both sides}\\\\\bigg[(10^y-5)^\frac{1}{5}\bigg]^5=x^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(10^y-5)^{\frac{1}{5}\cdot5}=x^5\\\\10^y-5=x^5\qquad\text{add 5 to both sides}\\\\10^y=x^5+5\qquad\log\ \text{of both sides}\\\\\log10^y=\log(x^5+5)\Rightarrow y=\log(x^5+5)

--------------------------\\3.\\y=\log_4(4x^2)\\\\\text{Exchange x and y. Solve for y:}\\\\\log_4(4y^2)=x\Rightarrow4^{\log_4(4y^2)}=4^x\\\\4y^2=4^x\qquad\text{divide both sides by 4}\\\\y^2=\dfrac{4^x}{4}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\y^2=4^{x-1}\Rightarrow y=\sqrt{4^{x-1}}

6 0
4 years ago
Automobile mechanics conduct diagnostic tests on 150 new cars of particular make and model to determine the extent to which they
galben [10]

Answer: 0.0944

Step-by-step explanation:

Given : Sample size of cars : n= 150, sample size is greater than 30 , so we use z-test.

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Critical value of z for 99% confidence level : z_{\alpha/2}=2.576

Formula for Margin of error :

E=z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

E=(2.576)\sqrt{\dfrac{0.28(1-0.28)}{150}}\\\\=0.0944377199216\approx0.0944\ \text{Rounded to four decimal places}

Hence, the required margin of error = 0.0944

6 0
3 years ago
a machinist can produce 114 parts in 6 minutes at this rate how many parts can the machinist produce in 15 minutes ??
hammer [34]
114 —> 6
x —>15
x=(114*15)/6=285
4 0
3 years ago
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